C********************************************************************* C********************************************************************* C* ** C* December 1993 ** C* ** C* The Lund Monte Carlo for Hadronic Processes ** C* ** C* PYTHIA version 5.7 ** C* ** C* Torbjorn Sjostrand ** C* CERN/TH, CH-1211 Geneva 23 ** C* BITNET/EARN address TORSJO@CERNVM ** C* Tel. +41 - 22 - 767 28 20 ** C* ** C* Several parts are written by Hans-Uno Bengtsson ** C* Anomalous photon structure function by Gerhard Schuler ** C* CTEQ 2 parton distributions are by the CTEQ collaboration ** C* g + g -> Z + b + bbar matrix element code by Ronald Kleiss ** C* g + g and q + qbar -> t + tbar + H code by Zoltan Kunszt ** C* ** C* Copyright Torbjorn Sjostrand and CERN, Geneva 1993 ** C* ** C********************************************************************* C********************************************************************* C * C List of subprograms in order of appearance, with main purpose * C (S = subroutine, F = function, B = block data) * C * C S PYINIT to administer the initialization procedure * C S PYEVNT to administer the generation of an event * C S PYSTAT to print cross-section and other information * C S PYINKI to initialize kinematics of incoming particles * C S PYINRE to initialize treatment of resonances * C S PYXTOT to give total, elastic and diffractive cross-sect. * C S PYMAXI to find differential cross-section maxima * C S PYEVKI to reconstruct event kinematics (when variable) * C S PYPILE to select multiplicity of pileup events * C S PYRAND to select subprocess and kinematics for event * C S PYSCAT to set up kinematics and colour flow of event * C S PYSSPA to simulate initial state spacelike showers * C S PYRESD to perform resonance decays * C S PYMULT to generate multiple interactions * C S PYREMN to add on target remnants * C S PYDIFF to set up kinematics for diffractive events * C S PYDOCU to compute cross-sections and handle documentation * C S PYFRAM to perform boosts between different frames * C S PYWIDT to calculate full and partial widths of resonances * C S PYOFSH to calculate partial width into off-shell channels * C S PYKLIM to calculate borders of allowed kinematical region * C S PYKMAP to construct value of kinematical variable * C S PYSIGH to calculate differential cross-sections * C S PYSTFU to evaluate structure functions * C S PYSTFL to evaluate structure functions at low x and Q^2 * C S PYSTEL to evaluate electron structure function * C S PYSTGA to evaluate photon structure function * C S PYSTAG to interface anomalous part of photon str. function * C S PYSTGS to evaluate anomalous part of photon str. function * C F PYDILN to evaluate simple dilogarithm * C S PYSTPI to evaluate pion structure function * C S PYSTPR to evaluate proton structure function * C F PYCTQ2 to evaluate the CTEQ 2 proton structure function * C F PYHFTH to evaluate threshold factor for heavy flavour * C S PYSPLI to find flavours left in hadron when one removed * C F PYGAMM to evaluate ordinary Gamma function Gamma(x) * C S PYWAUX to evaluate auxiliary functions W1(s) and W2(s) * C S PYI3AU to evaluate auxiliary function I3(s,t,u,v) * C F PYSPEN to evaluate Spence (dilogarithm) function Sp(x) * C S PYQQBH to evaluate matrix element for g + g -> Q + Q~ + H * C S PYTEST to test the proper functioning of the package * C B PYDATA to contain all default values * C S PYKCUT to provide dummy routine for user kinematical cuts * C S PYEVWT to provide dummy routine for weighting events * C S PYUPIN to initialize a user process * C S PYUPEV to generate a user process event (dummy routine) * C S PDFSET dummy routine to be removed when using PDFLIB * C S STRUCTM dummy routine to be removed when using PDFLIB * C * C********************************************************************* SUBROUTINE PYINIT(FRAME,BEAM,TARGET,WIN) C...Initializes the generation procedure; finds maxima of the C...differential cross-sections to be used for weighting. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/LUDAT4/CHAF(500) CHARACTER CHAF*8 COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) SAVE /LUDAT1/,/LUDAT2/,/LUDAT3/,/LUDAT4/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT5/ DIMENSION ALAMIN(20),NFIN(20) CHARACTER*(*) FRAME,BEAM,TARGET CHARACTER CHFRAM*8,CHBEAM*8,CHTARG*8,CHLH(2)*6 C...Interface to PDFLIB. COMMON/W50512/QCDL4,QCDL5 SAVE /W50512/ DOUBLE PRECISION VALUE(20),QCDL4,QCDL5 CHARACTER*20 PARM(20) DATA VALUE/20*0D0/,PARM/20*' '/ C...Data:Lambda and n_f values for structure functions; months. DATA ALAMIN/0.20,0.29,0.20,0.40,0.213,0.208,0.208,0.322, &0.190,0.235,10*0.2/,NFIN/20*4/ DATA CHLH/'lepton','hadron'/ C...Reset MINT and VINT arrays. Write headers. DO 100 J=1,400 MINT(J)=0 VINT(J)=0. 100 CONTINUE IF(MSTU(12).GE.1) CALL LULIST(0) IF(MSTP(122).GE.1) WRITE(MSTU(11),5100) C...Identify beam and target particles and initialize kinematics. CHFRAM=FRAME//' ' CHBEAM=BEAM//' ' CHTARG=TARGET//' ' CALL PYINKI(CHFRAM,CHBEAM,CHTARG,WIN) IF(MINT(65).EQ.1) GOTO 160 C...Select partonic subprocesses to be included in the simulation. IF(MSEL.NE.0) THEN DO 110 I=1,200 MSUB(I)=0 110 CONTINUE ENDIF C...Select default processes according to incoming beams. IF(MSEL.EQ.1.OR.MSEL.EQ.2) THEN IF(MINT(43).EQ.1) THEN C...Lepton + lepton -> gamma/Z0 or W. IF(MINT(11)+MINT(12).EQ.0) MSUB(1)=1 IF(MINT(11)+MINT(12).NE.0) MSUB(2)=1 ELSEIF(MINT(43).LE.3.AND.MSTP(14).EQ.0.AND. & (MINT(11).EQ.22.OR.MINT(12).EQ.22)) THEN C...Unresolved photon + lepton: Compton scattering. MSUB(34)=1 ELSEIF(MINT(43).LE.3) THEN C...Lepton + hadron: deep inelastic scattering. MSUB(10)=1 ELSEIF(MSTP(14).EQ.0.AND.MINT(11).EQ.22.AND. & MINT(12).EQ.22) THEN C...Two unresolved photons: fermion pair production. MSUB(58)=1 ELSEIF(MSTP(14).EQ.0.AND.(MINT(11).EQ.22.OR. & MINT(12).EQ.22)) THEN C...Unresolved photon + hadron: photon-parton scattering. MSUB(33)=1 MSUB(34)=1 MSUB(54)=1 ELSEIF(MSEL.EQ.1) THEN C...High-pT QCD processes: MSUB(11)=1 MSUB(12)=1 MSUB(13)=1 MSUB(28)=1 MSUB(53)=1 MSUB(68)=1 IF(MSTP(82).LE.1.AND.CKIN(3).LT.PARP(81)) MSUB(95)=1 IF(MSTP(82).GE.2.AND.CKIN(3).LT.PARP(82)) MSUB(95)=1 IF(MSUB(95).EQ.1.AND.MINT(50).EQ.0) MSUB(95)=0 ELSE C...All QCD processes: MSUB(11)=1 MSUB(12)=1 MSUB(13)=1 MSUB(28)=1 MSUB(53)=1 MSUB(68)=1 MSUB(91)=1 MSUB(92)=1 MSUB(93)=1 MSUB(94)=1 MSUB(95)=1 ENDIF ELSEIF(MSEL.GE.4.AND.MSEL.LE.8) THEN C...Heavy quark production. MSUB(81)=1 MSUB(82)=1 MSUB(84)=1 DO 120 J=1,MIN(8,MDCY(21,3)) MDME(MDCY(21,2)+J-1,1)=0 120 CONTINUE MDME(MDCY(21,2)+MSEL-1,1)=1 MSUB(85)=1 DO 130 J=1,MIN(12,MDCY(22,3)) MDME(MDCY(22,2)+J-1,1)=0 130 CONTINUE MDME(MDCY(22,2)+MSEL-1,1)=1 ELSEIF(MSEL.EQ.10) THEN C...Prompt photon production: MSUB(14)=1 MSUB(18)=1 MSUB(29)=1 ELSEIF(MSEL.EQ.11) THEN C...Z0/gamma* production: MSUB(1)=1 ELSEIF(MSEL.EQ.12) THEN C...W+/- production: MSUB(2)=1 ELSEIF(MSEL.EQ.13) THEN C...Z0 + jet: MSUB(15)=1 MSUB(30)=1 ELSEIF(MSEL.EQ.14) THEN C...W+/- + jet: MSUB(16)=1 MSUB(31)=1 ELSEIF(MSEL.EQ.15) THEN C...Z0 & W+/- pair production: MSUB(19)=1 MSUB(20)=1 MSUB(22)=1 MSUB(23)=1 MSUB(25)=1 ELSEIF(MSEL.EQ.16) THEN C...H0 production: MSUB(3)=1 MSUB(102)=1 MSUB(103)=1 MSUB(123)=1 MSUB(124)=1 ELSEIF(MSEL.EQ.17) THEN C...H0 & Z0 or W+/- pair production: MSUB(24)=1 MSUB(26)=1 ELSEIF(MSEL.EQ.18) THEN C...H0 production; interesting processes in e+e-. MSUB(24)=1 MSUB(103)=1 MSUB(123)=1 MSUB(124)=1 ELSEIF(MSEL.EQ.19) THEN C...H0, H'0 and A0 production; interesting processes in e+e-. MSUB(24)=1 MSUB(103)=1 MSUB(123)=1 MSUB(124)=1 MSUB(153)=1 MSUB(171)=1 MSUB(173)=1 MSUB(174)=1 MSUB(158)=1 MSUB(176)=1 MSUB(178)=1 MSUB(179)=1 ELSEIF(MSEL.EQ.21) THEN C...Z'0 production: MSUB(141)=1 ELSEIF(MSEL.EQ.22) THEN C...W'+/- production: MSUB(142)=1 ELSEIF(MSEL.EQ.23) THEN C...H+/- production: MSUB(143)=1 ELSEIF(MSEL.EQ.24) THEN C...R production: MSUB(144)=1 ELSEIF(MSEL.EQ.25) THEN C...LQ (leptoquark) production. MSUB(145)=1 MSUB(162)=1 MSUB(163)=1 MSUB(164)=1 ELSEIF(MSEL.GE.35.AND.MSEL.LE.38) THEN C...Production of one heavy quark (W exchange): MSUB(83)=1 DO 140 J=1,MIN(8,MDCY(21,3)) MDME(MDCY(21,2)+J-1,1)=0 140 CONTINUE MDME(MDCY(21,2)+MSEL-31,1)=1 ENDIF C...Count number of subprocesses on. MINT(48)=0 DO 150 ISUB=1,200 IF(MINT(50).EQ.0.AND.ISUB.GE.91.AND.ISUB.LE.96.AND. &MSUB(ISUB).EQ.1) THEN WRITE(MSTU(11),5200) ISUB,CHLH(MINT(41)),CHLH(MINT(42)) STOP ELSEIF(MSUB(ISUB).EQ.1.AND.ISET(ISUB).EQ.-1) THEN WRITE(MSTU(11),5300) ISUB STOP ELSEIF(MSUB(ISUB).EQ.1.AND.ISET(ISUB).LE.-2) THEN WRITE(MSTU(11),5400) ISUB STOP ELSEIF(MSUB(ISUB).EQ.1) THEN MINT(48)=MINT(48)+1 ENDIF 150 CONTINUE IF(MINT(48).EQ.0) THEN WRITE(MSTU(11),5500) STOP ENDIF MINT(49)=MINT(48)-MSUB(91)-MSUB(92)-MSUB(93)-MSUB(94) C...Maximum 4 generations; set maximum number of allowed flavours. 160 MSTP(1)=MIN(4,MSTP(1)) MSTU(114)=MIN(MSTU(114),2*MSTP(1)) MSTP(58)=MIN(MSTP(58),2*MSTP(1)) C...Sum up Cabibbo-Kobayashi-Maskawa factors for each quark/lepton. DO 180 I=-20,20 VINT(180+I)=0. IA=IABS(I) IF(IA.GE.1.AND.IA.LE.2*MSTP(1)) THEN DO 170 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.IPM) VINT(180+I)= & VINT(180+I)+VCKM((IA+1)/2,(IB+1)/2) 170 CONTINUE ELSEIF(IA.GE.11.AND.IA.LE.10+2*MSTP(1)) THEN VINT(180+I)=1. ENDIF 180 CONTINUE C...Initialize structure functions: PDFLIB. IF(MSTP(52).EQ.2) THEN PARM(1)='NPTYPE' VALUE(1)=1 PARM(2)='NGROUP' VALUE(2)=MSTP(51)/1000 PARM(3)='NSET' VALUE(3)=MOD(MSTP(51),1000) PARM(4)='TMAS' VALUE(4)=PMAS(6,1) CALL PDFSET(PARM,VALUE) ENDIF C...Choose Lambda value to use in alpha-strong. MSTU(111)=MSTP(2) IF(MSTP(3).GE.2) THEN ALAM=0.2 NF=4 IF(MSTP(52).EQ.1.AND.MSTP(51).GE.1.AND.MSTP(51).LE.10) THEN ALAM=ALAMIN(MSTP(51)) NF=NFIN(MSTP(51)) ELSEIF(MSTP(52).EQ.2) THEN ALAM=QCDL4 NF=4 ENDIF PARP(1)=ALAM PARP(61)=ALAM PARU(112)=ALAM PARJ(81)=ALAM MSTU(112)=NF ENDIF C...Initialize widths and partial widths for resonances. CALL PYINRE IF(MINT(65).EQ.1) GOTO 210 C...Reset variables for cross-section calculation. DO 200 I=0,200 DO 190 J=1,3 NGEN(I,J)=0 XSEC(I,J)=0. 190 CONTINUE 200 CONTINUE C...Find parametrized total cross-sections. IF(MINT(50).EQ.1) CALL PYXTOT C...Maxima of differential cross-sections. IF(MSTP(121).LE.1) CALL PYMAXI C...Initialize possibility of pileup events. IF(MSTP(131).NE.0) CALL PYPILE(1) C...Initialize multiple interactions with variable impact parameter. IF(MINT(50).EQ.1.AND.(MINT(49).NE.0.OR.MSTP(131).NE.0).AND. &MSTP(82).GE.2) CALL PYMULT(1) 210 IF(MSTP(122).GE.1) WRITE(MSTU(11),5600) C...Formats for initialization information. 5100 FORMAT('1',18('*'),1X,'PYINIT: initialization of PYTHIA ', &'routines',1X,17('*')) 5200 FORMAT(1X,'Error: process number ',I3,' not meaningful for ',A6, &'-',A6,' interactions.'/1X,'Execution stopped!') 5300 FORMAT(1X,'Error: requested subprocess',I4,' not implemented.'/ &1X,'Execution stopped!') 5400 FORMAT(1X,'Error: requested subprocess',I4,' not existing.'/ &1X,'Execution stopped!') 5500 FORMAT(1X,'Error: no subprocess switched on.'/ &1X,'Execution stopped.') 5600 FORMAT(/1X,22('*'),1X,'PYINIT: initialization completed',1X, &22('*')) RETURN END C********************************************************************* SUBROUTINE PYEVNT C...Administers the generation of a high-pT event via calls to C...a number of subroutines. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYUPPR/NUP,KUP(20,7),PUP(20,5),NFUP,IFUP(10,2),Q2UP(0:10) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/,/PYINT2/,/PYINT5/,/PYUPPR/ DIMENSION VTX(4) C...Initial values for some counters. N=0 MINT(5)=MINT(5)+1 MINT(7)=0 MINT(8)=0 MINT(83)=0 MINT(84)=MSTP(126) MSTU(24)=0 MSTU70=0 MSTJ14=MSTJ(14) C...If variable energies: redo incoming kinematics and cross-section. MSTI(61)=0 IF(MSTP(171).EQ.1) THEN CALL PYEVKI IF(MSTI(61).EQ.1) RETURN IF(MINT(50).EQ.1) CALL PYXTOT ENDIF C...Loop over number of pileup events; check space left. IF(MSTP(131).LE.0) THEN NPILE=1 ELSE CALL PYPILE(2) NPILE=MINT(81) ENDIF DO 250 IPILE=1,NPILE IF(MINT(84)+100.GE.MSTU(4)) THEN CALL LUERRM(11, & '(PYEVNT:) no more space in LUJETS for pileup events') IF(MSTU(21).GE.1) GOTO 260 ENDIF MINT(82)=IPILE C...Generate variables of hard scattering. MINT(51)=0 MSTI(52)=0 100 CONTINUE IF(MINT(51).NE.0.OR.MSTU(24).NE.0) MSTI(52)=MSTI(52)+1 MINT(31)=0 MINT(51)=0 MINT(57)=0 CALL PYRAND IF(MSTI(61).EQ.1) RETURN IF(MINT(51).EQ.2) RETURN ISUB=MINT(1) IF(MSTP(111).EQ.-1) GOTO 240 IF(ISUB.LE.90.OR.ISUB.GE.95) THEN C...Hard scattering (including low-pT): C...reconstruct kinematics and colour flow of hard scattering. 110 MINT(51)=0 CALL PYSCAT IF(MINT(51).EQ.1) GOTO 100 IPU1=MINT(84)+1 IPU2=MINT(84)+2 IF(ISUB.EQ.95) GOTO 130 C...Showering of initial state partons (optional). IF(MSTP(61).GE.1.AND.MINT(47).GE.2) CALL PYSSPA(IPU1,IPU2) IF(MINT(51).EQ.1) GOTO 100 C...Showering of final state partons (optional). IF(MSTP(71).GE.1.AND.ISET(ISUB).GE.2.AND.ISET(ISUB).LE.10) THEN IPU3=MINT(84)+3 IPU4=MINT(84)+4 IF(ISET(ISUB).EQ.5.OR.ISET(ISUB).EQ.6) IPU4=-3 QMAX=VINT(55) IF(ISET(ISUB).EQ.2) QMAX=SQRT(PARP(71))*VINT(55) CALL LUSHOW(IPU3,IPU4,QMAX) ELSEIF(MSTP(71).GE.1.AND.ISET(ISUB).EQ.11.AND.NFUP.GE.1) THEN DO 120 IUP=1,NFUP IPU3=IFUP(IUP,1)+MINT(84) IPU4=IFUP(IUP,2)+MINT(84) QMAX=SQRT(MAX(0.,Q2UP(IUP))) CALL LUSHOW(IPU3,IPU4,QMAX) 120 CONTINUE ENDIF C...Decay of final state resonances. IF(MSTP(41).GE.1.AND.ISET(ISUB).LE.10) CALL PYRESD IF(MINT(51).EQ.1) GOTO 100 MINT(52)=N C...Multiple interactions. IF(MSTP(81).GE.1.AND.MINT(50).EQ.1) CALL PYMULT(6) MINT(53)=N C...Hadron remnants and primordial kT. 130 CALL PYREMN(IPU1,IPU2) IF(MINT(51).EQ.1.AND.MINT(57).GE.1.AND.MINT(57).LE.5) GOTO 110 IF(MINT(51).EQ.1) GOTO 100 ELSE C...Diffractive and elastic scattering. CALL PYDIFF ENDIF C...Recalculate energies from momenta and masses (if desired). IF(MSTP(113).GE.1) THEN DO 140 I=MINT(83)+1,N IF(K(I,1).GT.0.AND.K(I,1).LE.10) P(I,4)=SQRT(P(I,1)**2+ & P(I,2)**2+P(I,3)**2+P(I,5)**2) 140 CONTINUE NRECAL=N ENDIF C...Rearrange partons along strings, check invariant mass cuts. MSTU(28)=0 IF(MSTP(111).LE.0) MSTJ(14)=-1 CALL LUPREP(MINT(84)+1) MSTJ(14)=MSTJ14 IF(MSTP(112).EQ.1.AND.MSTU(28).EQ.3) GOTO 100 IF(MSTP(125).EQ.0.OR.MSTP(125).EQ.1) THEN DO 170 I=MINT(84)+1,N IF(K(I,2).EQ.94) THEN DO 160 I1=I+1,MIN(N,I+3) IF(K(I1,3).EQ.I) THEN K(I1,3)=MOD(K(I1,4)/MSTU(5),MSTU(5)) IF(K(I1,3).EQ.0) THEN DO 150 II=MINT(84)+1,I-1 IF(K(II,2).EQ.K(I1,2)) THEN IF(MOD(K(II,4),MSTU(5)).EQ.I1.OR. & MOD(K(II,5),MSTU(5)).EQ.I1) K(I1,3)=II ENDIF 150 CONTINUE IF(K(I+1,3).EQ.0) K(I+1,3)=K(I,3) ENDIF ENDIF 160 CONTINUE ENDIF 170 CONTINUE CALL LUEDIT(12) CALL LUEDIT(14) IF(MSTP(125).EQ.0) CALL LUEDIT(15) IF(MSTP(125).EQ.0) MINT(4)=0 DO 190 I=MINT(83)+1,N IF(K(I,1).EQ.11.AND.K(I,4).EQ.0.AND.K(I,5).EQ.0) THEN DO 180 I1=I+1,N IF(K(I1,3).EQ.I.AND.K(I,4).EQ.0) K(I,4)=I1 IF(K(I1,3).EQ.I) K(I,5)=I1 180 CONTINUE ENDIF 190 CONTINUE ENDIF C...Introduce separators between sections in LULIST event listing. IF(IPILE.EQ.1.AND.MSTP(125).LE.0) THEN MSTU70=1 MSTU(71)=N ELSEIF(IPILE.EQ.1) THEN MSTU70=3 MSTU(71)=2 MSTU(72)=MINT(4) MSTU(73)=N ENDIF C...Go back to lab frame (needed for vertices, also in fragmentation). CALL PYFRAM(1) C...Set nonvanishing production vertex (optional). IF(MSTP(151).EQ.1) THEN DO 200 J=1,4 VTX(J)=PARP(150+J)*SQRT(-2.*LOG(MAX(1E-10,RLU(0))))* & SIN(PARU(2)*RLU(0)) 200 CONTINUE DO 220 I=MINT(83)+1,N DO 210 J=1,4 V(I,J)=V(I,J)+VTX(J) 210 CONTINUE 220 CONTINUE ENDIF C...Perform hadronization (if desired). IF(MSTP(111).GE.1) THEN CALL LUEXEC IF(MSTU(24).NE.0) GOTO 100 ENDIF IF(MSTP(113).GE.1) THEN DO 230 I=NRECAL,N IF(P(I,5).GT.0.) P(I,4)=SQRT(P(I,1)**2+ & P(I,2)**2+P(I,3)**2+P(I,5)**2) 230 CONTINUE ENDIF IF(MSTP(125).EQ.0.OR.MSTP(125).EQ.1) CALL LUEDIT(14) C...Store event information and calculate Monte Carlo estimates of C...subprocess cross-sections. 240 IF(IPILE.EQ.1) CALL PYDOCU C...Set counters for current pileup event and loop to next one. MSTI(41)=IPILE IF(IPILE.GE.2.AND.IPILE.LE.10) MSTI(40+IPILE)=ISUB IF(MSTU70.LT.10) THEN MSTU70=MSTU70+1 MSTU(70+MSTU70)=N ENDIF MINT(83)=N MINT(84)=N+MSTP(126) IF(IPILE.LT.NPILE) CALL PYFRAM(2) 250 CONTINUE C...Generic information on pileup events. Reconstruct missing history. IF(MSTP(131).EQ.1.AND.MSTP(133).GE.1) THEN PARI(91)=VINT(132) PARI(92)=VINT(133) PARI(93)=VINT(134) IF(MSTP(133).GE.2) PARI(93)=PARI(93)*XSEC(0,3)/VINT(131) ENDIF CALL LUEDIT(16) C...Transform to the desired coordinate frame. 260 CALL PYFRAM(MSTP(124)) MSTU(70)=MSTU70 PARU(21)=VINT(1) RETURN END C*********************************************************************** SUBROUTINE PYSTAT(MSTAT) C...Prints out information about cross-sections, decay widths, branching C...ratios, kinematical limits, status codes and parameter values. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT6/PROC(0:200) CHARACTER PROC*28 SAVE /LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT4/,/PYINT5/,/PYINT6/ CHARACTER CHAU*16,CHPA(-100:100)*9,CHIN(2)*12, &STATE(-1:5)*4,CHKIN(21)*18 DATA STATE/'----','off ','on ','on/+','on/-','on/1','on/2'/, &CHKIN/' m_hard (GeV/c^2) ',' p_T_hard (GeV/c) ', &'m_finite (GeV/c^2)',' y*_subsystem ',' y*_large ', &' y*_small ',' eta*_large ',' eta*_small ', &'cos(theta*)_large ','cos(theta*)_small ',' x_1 ', &' x_2 ',' x_F ',' cos(theta_hard) ', &'m''_hard (GeV/c^2) ',' tau ',' y* ', &'cos(theta_hard^-) ','cos(theta_hard^+) ',' x_T^2 ', &' tau'' '/ C...Cross-sections. IF(MSTAT.LE.1) THEN WRITE(MSTU(11),5000) WRITE(MSTU(11),5100) WRITE(MSTU(11),5200) 0,PROC(0),NGEN(0,3),NGEN(0,1),XSEC(0,3) DO 100 I=1,200 IF(MSUB(I).NE.1) GOTO 100 WRITE(MSTU(11),5200) I,PROC(I),NGEN(I,3),NGEN(I,1),XSEC(I,3) 100 CONTINUE WRITE(MSTU(11),5300) 1.-FLOAT(NGEN(0,3))/ & MAX(1.,FLOAT(NGEN(0,2))) C...Decay widths and branching ratios. ELSEIF(MSTAT.EQ.2) THEN DO 110 KF=-100,100 CALL LUNAME(KF,CHAU) CHPA(KF)=CHAU(1:9) 110 CONTINUE WRITE(MSTU(11),5400) WRITE(MSTU(11),5500) DO 140 KC=1,40 KCL=KC IF(KC.GE.6.AND.KC.LE.8) KCL=KC+20 IF(KC.EQ.17.OR.KC.EQ.18) KCL=KC+12 IF(MSTP(6).NE.1) THEN IF(KC.GT.2*MSTP(1).AND.KC.LE.10) GOTO 140 IF(KC.GT.10+2*MSTP(1).AND.KC.LE.20) GOTO 140 ELSE IF(KC.GT.8.AND.KC.LE.10) GOTO 140 IF(KC.GT.18.AND.KC.LE.20) GOTO 140 ENDIF IF((KC.GE.26.AND.KC.LE.31).OR.KC.EQ.33) GOTO 140 IOFF=0 IF(KC.LE.22) IOFF=1 IF(KC.EQ.6.AND.MSTP(48).GE.1) IOFF=0 IF((KC.EQ.7.OR.KC.EQ.8.OR.KC.EQ.17.OR.KC.EQ.18).AND. & (MSTP(6).EQ.1.OR.MSTP(49).GE.1)) IOFF=0 IF(KC.EQ.18.AND.PMAS(18,1).LT.1.) IOFF=1 C...Off-shell branchings. IF(IOFF.EQ.1) THEN NGP=0 IF(KC.LE.20) NGP=(MOD(KC,10)+1)/2 IF(NGP.LE.MSTP(1)) WRITE(MSTU(11),5600) KC,CHPA(KC), & PMAS(KC,1),0.,0.,STATE(MDCY(KC,1)),0. DO 120 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 NGP1=0 IF(IABS(KFDP(IDC,1)).LE.20) NGP1= & (MOD(IABS(KFDP(IDC,1)),10)+1)/2 NGP2=0 IF(IABS(KFDP(IDC,2)).LE.20) NGP2= & (MOD(IABS(KFDP(IDC,2)),10)+1)/2 IF(MDME(IDC,2).EQ.102.AND.NGP1.LE.MSTP(1).AND.NGP2.LE.MSTP(1)) & WRITE(MSTU(11),5700) IDC,CHPA(KFDP(IDC,1)),CHPA(KFDP(IDC,2)), & 0.,0.,STATE(MDME(IDC,1)),0. 120 CONTINUE C...On-shell decays. ELSE BRFIN=1. IF(WIDE(KCL,0).LE.0.) BRFIN=0. WRITE(MSTU(11),5600) KC,CHPA(KC),PMAS(KC,1),WIDP(KCL,0),1., & STATE(MDCY(KC,1)),BRFIN DO 130 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 NGP1=0 IF(IABS(KFDP(IDC,1)).LE.20) NGP1= & (MOD(IABS(KFDP(IDC,1)),10)+1)/2 NGP2=0 IF(IABS(KFDP(IDC,2)).LE.20) NGP2= & (MOD(IABS(KFDP(IDC,2)),10)+1)/2 BRFIN=0. IF(WIDE(KCL,0).GT.0.) BRFIN=WIDE(KCL,J)/WIDE(KCL,0) IF(NGP1.LE.MSTP(1).AND.NGP2.LE.MSTP(1)) WRITE(MSTU(11),5700) & IDC,CHPA(KFDP(IDC,1)),CHPA(KFDP(IDC,2)),WIDP(KCL,J), & WIDP(KCL,J)/WIDP(KCL,0),STATE(MDME(IDC,1)),BRFIN 130 CONTINUE ENDIF 140 CONTINUE WRITE(MSTU(11),5800) C...Allowed incoming partons/particles at hard interaction. ELSEIF(MSTAT.EQ.3) THEN WRITE(MSTU(11),5900) CALL LUNAME(MINT(11),CHAU) CHIN(1)=CHAU(1:12) CALL LUNAME(MINT(12),CHAU) CHIN(2)=CHAU(1:12) WRITE(MSTU(11),6000) CHIN(1),CHIN(2) DO 150 KF=-40,40 CALL LUNAME(KF,CHAU) CHPA(KF)=CHAU(1:9) 150 CONTINUE DO 160 I=-20,22 IF(I.EQ.0) GOTO 160 IA=IABS(I) IF(IA.GT.MSTP(58).AND.IA.LE.10) GOTO 160 IF(IA.GT.10+2*MSTP(1).AND.IA.LE.20) GOTO 160 WRITE(MSTU(11),6100) CHPA(I),STATE(KFIN(1,I)),CHPA(I), & STATE(KFIN(2,I)) 160 CONTINUE WRITE(MSTU(11),6200) C...User-defined limits on kinematical variables. ELSEIF(MSTAT.EQ.4) THEN WRITE(MSTU(11),6300) WRITE(MSTU(11),6400) SHRMAX=CKIN(2) IF(SHRMAX.LT.0.) SHRMAX=VINT(1) WRITE(MSTU(11),6500) CKIN(1),CHKIN(1),SHRMAX PTHMIN=MAX(CKIN(3),CKIN(5)) PTHMAX=CKIN(4) IF(PTHMAX.LT.0.) PTHMAX=0.5*SHRMAX WRITE(MSTU(11),6600) CKIN(3),PTHMIN,CHKIN(2),PTHMAX WRITE(MSTU(11),6700) CHKIN(3),CKIN(6) DO 170 I=4,14 WRITE(MSTU(11),6500) CKIN(2*I-1),CHKIN(I),CKIN(2*I) 170 CONTINUE SPRMAX=CKIN(32) IF(SPRMAX.LT.0.) SPRMAX=VINT(1) WRITE(MSTU(11),6500) CKIN(31),CHKIN(15),SPRMAX WRITE(MSTU(11),6800) C...Status codes and parameter values. ELSEIF(MSTAT.EQ.5) THEN WRITE(MSTU(11),6900) WRITE(MSTU(11),7000) DO 180 I=1,100 WRITE(MSTU(11),7100) I,MSTP(I),PARP(I),100+I,MSTP(100+I), & PARP(100+I) 180 CONTINUE ENDIF C...Formats for printouts. 5000 FORMAT('1',9('*'),1X,'PYSTAT: Statistics on Number of ', &'Events and Cross-sections',1X,9('*')) 5100 FORMAT(/1X,78('=')/1X,'I',34X,'I',28X,'I',12X,'I'/1X,'I',12X, &'Subprocess',12X,'I',6X,'Number of points',6X,'I',4X,'Sigma',3X, &'I'/1X,'I',34X,'I',28X,'I',12X,'I'/1X,'I',34('-'),'I',28('-'), &'I',4X,'(mb)',4X,'I'/1X,'I',34X,'I',28X,'I',12X,'I'/1X,'I',1X, &'N:o',1X,'Type',25X,'I',4X,'Generated',9X,'Tried',1X,'I',12X, &'I'/1X,'I',34X,'I',28X,'I',12X,'I'/1X,78('=')/1X,'I',34X,'I',28X, &'I',12X,'I') 5200 FORMAT(1X,'I',1X,I3,1X,A28,1X,'I',1X,I12,1X,I13,1X,'I',1X,1P, &E10.3,1X,'I') 5300 FORMAT(1X,'I',34X,'I',28X,'I',12X,'I'/1X,78('=')// &1X,'********* Fraction of events that fail fragmentation ', &'cuts =',1X,F8.5,' *********'/) 5400 FORMAT('1',17('*'),1X,'PYSTAT: Decay Widths and Branching ', &'Ratios',1X,17('*')) 5500 FORMAT(/1X,78('=')/1X,'I',29X,'I',13X,'I',12X,'I',6X,'I',12X,'I'/ &1X,'I',1X,'Branching/Decay Channel',5X,'I',1X,'Width (GeV)',1X, &'I',7X,'B.R.',1X,'I',1X,'Stat',1X,'I',2X,'Eff. B.R.',1X,'I'/1X, &'I',29X,'I',13X,'I',12X,'I',6X,'I',12X,'I'/1X,78('=')) 5600 FORMAT(1X,'I',29X,'I',13X,'I',12X,'I',6X,'I',12X,'I'/1X,'I',1X, &I4,1X,A9,'(',1P,E8.2,0P,')',1X,'->',1X,'I',2X,1P,E10.3,0P,1X, &'I',1X,1P,E10.3,0P,1X,'I',1X,A4,1X,'I',1X,1P,E10.3,0P,1X,'I') 5700 FORMAT(1X,'I',1X,I4,1X,A9,1X,'+',1X,A9,2X,'I',2X,1P,E10.3,0P, &1X,'I',1X,1P,E10.3,0P,1X,'I',1X,A4,1X,'I',1X,1P,E10.3,0P,1X,'I') 5800 FORMAT(1X,'I',29X,'I',13X,'I',12X,'I',6X,'I',12X,'I'/1X,78('=')) 5900 FORMAT('1',7('*'),1X,'PYSTAT: Allowed Incoming Partons/', &'Particles at Hard Interaction',1X,7('*')) 6000 FORMAT(/1X,78('=')/1X,'I',38X,'I',37X,'I'/1X,'I',1X, &'Beam particle:',1X,A12,10X,'I',1X,'Target particle:',1X,A12,7X, &'I'/1X,'I',38X,'I',37X,'I'/1X,'I',1X,'Content',6X,'State',19X, &'I',1X,'Content',6X,'State',18X,'I'/1X,'I',38X,'I',37X,'I'/1X, &78('=')/1X,'I',38X,'I',37X,'I') 6100 FORMAT(1X,'I',1X,A9,5X,A4,19X,'I',1X,A9,5X,A4,18X,'I') 6200 FORMAT(1X,'I',38X,'I',37X,'I'/1X,78('=')) 6300 FORMAT('1',12('*'),1X,'PYSTAT: User-Defined Limits on ', &'Kinematical Variables',1X,12('*')) 6400 FORMAT(/1X,78('=')/1X,'I',76X,'I') 6500 FORMAT(1X,'I',16X,1P,E10.3,0P,1X,'<',1X,A,1X,'<',1X,1P,E10.3,0P, &16X,'I') 6600 FORMAT(1X,'I',3X,1P,E10.3,0P,1X,'(',1P,E10.3,0P,')',1X,'<',1X,A, &1X,'<',1X,1P,E10.3,0P,16X,'I') 6700 FORMAT(1X,'I',29X,A,1X,'=',1X,1P,E10.3,0P,16X,'I') 6800 FORMAT(1X,'I',76X,'I'/1X,78('=')) 6900 FORMAT('1',12('*'),1X,'PYSTAT: Summary of Status Codes and ', &'Parameter Values',1X,12('*')) 7000 FORMAT(/3X,'I',4X,'MSTP(I)',9X,'PARP(I)',20X,'I',4X,'MSTP(I)',9X, &'PARP(I)'/) 7100 FORMAT(1X,I3,5X,I6,6X,1P,E10.3,0P,18X,I3,5X,I6,6X,1P,E10.3) RETURN END C********************************************************************* SUBROUTINE PYINKI(CHFRAM,CHBEAM,CHTARG,WIN) C...Identifies the two incoming particles and sets up kinematics, C...including rotations and boosts to/from CM frame. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/ CHARACTER CHFRAM*8,CHBEAM*8,CHTARG*8,CHCOM(3)*8,CHALP(2)*26, &CHIDNT(3)*8,CHTEMP*8,CHCDE(29)*8,CHINIT*76 DIMENSION LEN(3),KCDE(29),PM(2) DATA CHALP/'abcdefghijklmnopqrstuvwxyz', &'ABCDEFGHIJKLMNOPQRSTUVWXYZ'/ DATA CHCDE/'e- ','e+ ','nu_e ','nu_e~ ', &'mu- ','mu+ ','nu_mu ','nu_mu~ ','tau- ', &'tau+ ','nu_tau ','nu_tau~ ','pi+ ','pi- ', &'n0 ','n~0 ','p+ ','p~- ','gamma ', &'lambda0 ','sigma- ','sigma0 ','sigma+ ','xi- ', &'xi0 ','omega- ','pi0 ','reggeon ','pomeron '/ DATA KCDE/11,-11,12,-12,13,-13,14,-14,15,-15,16,-16, &211,-211,2112,-2112,2212,-2212,22,3122,3112,3212,3222, &3312,3322,3334,111,28,29/ C...Store initial energy. Default frame. VINT(290)=WIN MINT(111)=0 C...Convert character variables to lowercase and find their length. CHCOM(1)=CHFRAM CHCOM(2)=CHBEAM CHCOM(3)=CHTARG DO 130 I=1,3 LEN(I)=8 DO 110 LL=8,1,-1 IF(LEN(I).EQ.LL.AND.CHCOM(I)(LL:LL).EQ.' ') LEN(I)=LL-1 DO 100 LA=1,26 IF(CHCOM(I)(LL:LL).EQ.CHALP(2)(LA:LA)) CHCOM(I)(LL:LL)= &CHALP(1)(LA:LA) 100 CONTINUE 110 CONTINUE CHIDNT(I)=CHCOM(I) C...Fix up bar, underscore and charge in particle name (if needed). DO 120 LL=1,6 IF(CHIDNT(I)(LL:LL+2).EQ.'bar') THEN CHTEMP=CHIDNT(I) CHIDNT(I)=CHTEMP(1:LL-1)//'~'//CHTEMP(LL+3:8)//' ' ENDIF 120 CONTINUE IF(CHIDNT(I)(1:2).EQ.'nu'.AND.CHIDNT(I)(3:3).NE.'_') THEN CHTEMP=CHIDNT(I) CHIDNT(I)='nu_'//CHTEMP(3:7) ELSEIF(CHIDNT(I)(1:2).EQ.'n ') THEN CHIDNT(I)(1:3)='n0 ' ELSEIF(CHIDNT(I)(1:2).EQ.'n~') THEN CHIDNT(I)(1:3)='n~0' ELSEIF(CHIDNT(I)(1:2).EQ.'p ') THEN CHIDNT(I)(1:3)='p+ ' ELSEIF(CHIDNT(I)(1:2).EQ.'p~'.OR.CHIDNT(I)(1:2).EQ.'p-') THEN CHIDNT(I)(1:3)='p~-' ELSEIF(CHIDNT(I)(1:6).EQ.'lambda') THEN CHIDNT(I)(7:7)='0' ELSEIF(CHIDNT(I)(1:3).EQ.'reg') THEN CHIDNT(I)(1:7)='reggeon' ELSEIF(CHIDNT(I)(1:3).EQ.'pom') THEN CHIDNT(I)(1:7)='pomeron' ENDIF 130 CONTINUE C...Identify free initialization. IF(CHCOM(1)(1:2).EQ.'no') THEN MINT(65)=1 RETURN ENDIF C...Set initial state. Error for unknown codes. Reset variables. N=2 DO 160 I=1,2 K(I,1)=1 K(I,2)=0 DO 140 J=1,29 IF(CHIDNT(I+1).EQ.CHCDE(J)) K(I,2)=KCDE(J) 140 CONTINUE PM(I)=ULMASS(K(I,2)) MINT(40+I)=1 IF(MSTP(14).GE.1.AND.K(I,2).EQ.22) MINT(40+I)=2 IF(IABS(K(I,2)).GT.100) MINT(40+I)=2 IF(K(I,2).EQ.28.OR.K(I,2).EQ.29) MINT(40+I)=2 MINT(44+I)=MINT(40+I) IF(MSTP(11).GE.1.AND.IABS(K(I,2)).EQ.11) MINT(44+I)=3 DO 150 J=1,5 V(I,J)=0. 150 CONTINUE 160 CONTINUE IF(K(1,2).EQ.0) WRITE(MSTU(11),5000) CHBEAM(1:LEN(2)) IF(K(2,2).EQ.0) WRITE(MSTU(11),5100) CHTARG(1:LEN(3)) IF(K(1,2).EQ.0.OR.K(2,2).EQ.0) STOP DO 170 J=6,10 VINT(J)=0. 170 CONTINUE CHINIT=' ' C...Set up kinematics for events defined in CM frame. IF(CHCOM(1)(1:2).EQ.'cm') THEN MINT(111)=1 IF(CHCOM(2)(1:1).NE.'e') THEN LOFFS=(31-(LEN(2)+LEN(3)))/2 CHINIT(LOFFS+1:76)='PYTHIA will be initialized for a '// & CHCOM(2)(1:LEN(2))//' on '//CHCOM(3)(1:LEN(3))//' collider'// & ' ' ELSE LOFFS=(30-(LEN(2)+LEN(3)))/2 CHINIT(LOFFS+1:76)='PYTHIA will be initialized for an '// & CHCOM(2)(1:LEN(2))//' on '//CHCOM(3)(1:LEN(3))//' collider'// & ' ' ENDIF IF(MSTP(122).GE.1) WRITE(MSTU(11),5200) CHINIT IF(MSTP(122).GE.1) WRITE(MSTU(11),5300) WIN S=WIN**2 P(1,5)=PM(1) P(2,5)=PM(2) P(1,1)=0. P(1,2)=0. P(2,1)=0. P(2,2)=0. P(1,3)=SQRT(((S-P(1,5)**2-P(2,5)**2)**2-(2.*P(1,5)*P(2,5))**2)/ & (4.*S)) P(2,3)=-P(1,3) P(1,4)=SQRT(P(1,3)**2+P(1,5)**2) P(2,4)=SQRT(P(2,3)**2+P(2,5)**2) C...Set up kinematics for fixed target events. ELSEIF(CHCOM(1)(1:3).EQ.'fix') THEN MINT(111)=2 LOFFS=(29-(LEN(2)+LEN(3)))/2 CHINIT(LOFFS+1:76)='PYTHIA will be initialized for '// & CHCOM(2)(1:LEN(2))//' on '//CHCOM(3)(1:LEN(3))// & ' fixed target'//' ' IF(MSTP(122).GE.1) WRITE(MSTU(11),5200) CHINIT IF(MSTP(122).GE.1) WRITE(MSTU(11),5400) WIN P(1,5)=PM(1) P(2,5)=PM(2) P(1,1)=0. P(1,2)=0. P(2,1)=0. P(2,2)=0. P(1,3)=WIN P(1,4)=SQRT(P(1,3)**2+P(1,5)**2) P(2,3)=0. P(2,4)=P(2,5) S=P(1,5)**2+P(2,5)**2+2.*P(2,4)*P(1,4) VINT(10)=P(1,3)/(P(1,4)+P(2,4)) CALL LUROBO(0.,0.,0.,0.,-VINT(10)) IF(MSTP(122).GE.1) WRITE(MSTU(11),5500) SQRT(S) C...Set up kinematics for events in user-defined frame. ELSEIF(CHCOM(1)(1:3).EQ.'use') THEN MINT(111)=3 P(1,5)=PM(1) P(2,5)=PM(2) P(1,4)=SQRT(P(1,1)**2+P(1,2)**2+P(1,3)**2+P(1,5)**2) P(2,4)=SQRT(P(2,1)**2+P(2,2)**2+P(2,3)**2+P(2,5)**2) LOFFS=(12-(LEN(2)+LEN(3)))/2 CHINIT(LOFFS+1:76)='PYTHIA will be initialized for '// & CHCOM(2)(1:LEN(2))//' on '//CHCOM(3)(1:LEN(3))// & ' user-specified configuration'//' ' IF(MSTP(122).GE.1) WRITE(MSTU(11),5200) CHINIT IF(MSTP(122).GE.1) WRITE(MSTU(11),5600) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(2),P(1,1), & P(1,2),P(1,3),P(1,4) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(3),P(2,1), & P(2,2),P(2,3),P(2,4) DO 180 J=1,3 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 180 CONTINUE CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) VINT(7)=ULANGL(P(1,1),P(1,2)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) VINT(6)=ULANGL(P(1,3),P(1,1)) CALL LUROBO(-VINT(6),0.,0.,0.,0.) S=P(1,5)**2+P(2,5)**2+2.*(P(1,4)*P(2,4)-P(1,3)*P(2,3)) IF(MSTP(122).GE.1) WRITE(MSTU(11),5500) SQRT(S) C...Set up kinematics for events with user-defined four-vectors. ELSEIF(CHCOM(1)(1:4).EQ.'four') THEN MINT(111)=4 PMS1=P(1,4)**2-P(1,1)**2-P(1,2)**2-P(1,3)**2 P(1,5)=SIGN(SQRT(ABS(PMS1)),PMS1) PMS2=P(2,4)**2-P(2,1)**2-P(2,2)**2-P(2,3)**2 P(2,5)=SIGN(SQRT(ABS(PMS2)),PMS2) LOFFS=(12-(LEN(2)+LEN(3)))/2 CHINIT(LOFFS+1:76)='PYTHIA will be initialized for '// & CHCOM(2)(1:LEN(2))//' on '//CHCOM(3)(1:LEN(3))// & ' user-specified configuration'//' ' IF(MSTP(122).GE.1) WRITE(MSTU(11),5200) CHINIT IF(MSTP(122).GE.1) WRITE(MSTU(11),5600) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(2),P(1,1), & P(1,2),P(1,3),P(1,4) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(3),P(2,1), & P(2,2),P(2,3),P(2,4) DO 190 J=1,3 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 190 CONTINUE CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) VINT(7)=ULANGL(P(1,1),P(1,2)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) VINT(6)=ULANGL(P(1,3),P(1,1)) CALL LUROBO(-VINT(6),0.,0.,0.,0.) S=(P(1,4)+P(2,4))**2 IF(MSTP(122).GE.1) WRITE(MSTU(11),5500) SQRT(S) C...Set up kinematics for events with user-defined five-vectors. ELSEIF(CHCOM(1)(1:4).EQ.'five') THEN MINT(111)=5 LOFFS=(12-(LEN(2)+LEN(3)))/2 CHINIT(LOFFS+1:76)='PYTHIA will be initialized for '// & CHCOM(2)(1:LEN(2))//' on '//CHCOM(3)(1:LEN(3))// & ' user-specified configuration'//' ' IF(MSTP(122).GE.1) WRITE(MSTU(11),5200) CHINIT IF(MSTP(122).GE.1) WRITE(MSTU(11),5600) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(2),P(1,1), & P(1,2),P(1,3),P(1,4) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(3),P(2,1), & P(2,2),P(2,3),P(2,4) DO 200 J=1,3 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 200 CONTINUE CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) VINT(7)=ULANGL(P(1,1),P(1,2)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) VINT(6)=ULANGL(P(1,3),P(1,1)) CALL LUROBO(-VINT(6),0.,0.,0.,0.) S=(P(1,4)+P(2,4))**2 IF(MSTP(122).GE.1) WRITE(MSTU(11),5500) SQRT(S) C...Unknown frame. Error for too low CM energy. ELSE WRITE(MSTU(11),5800) CHFRAM(1:LEN(1)) STOP ENDIF IF(S.LT.PARP(2)**2) THEN WRITE(MSTU(11),5900) SQRT(S) STOP ENDIF C...Save information on incoming particles. MINT(11)=K(1,2) MINT(12)=K(2,2) MINT(43)=2*MINT(41)+MINT(42)-2 MINT(44)=MINT(43) IF(MSTP(14).LE.0) THEN IF(MINT(11).EQ.22) MINT(43)=MINT(43)+2 IF(MINT(12).EQ.22) MINT(43)=MINT(43)+1 ELSE IF(MINT(11).EQ.22) MINT(44)=MINT(44)-2 IF(MINT(12).EQ.22) MINT(44)=MINT(44)-1 ENDIF MINT(47)=2*MIN(2,MINT(45))+MIN(2,MINT(46))-2 IF(MIN(MINT(45),MINT(46)).EQ.3) MINT(47)=5 MINT(50)=0 IF(MINT(41).EQ.2.AND.MINT(42).EQ.2) MINT(50)=1 IF((MINT(11).EQ.22.OR.MINT(12).EQ.22).AND.MSTP(14).EQ.3) &MINT(50)=0 MINT(107)=0 IF((MINT(11).EQ.22.OR.MINT(12).EQ.22).AND.MSTP(14).EQ.3) &MINT(107)=1 VINT(1)=SQRT(S) VINT(2)=S VINT(3)=PM(1) VINT(4)=PM(2) VINT(5)=P(1,3) VINT(289)=S DO 210 J=1,5 VINT(290+J)=P(1,J) VINT(295+J)=P(2,J) 210 CONTINUE C...Store constants to be used in generation. IF(MSTP(82).LE.1) VINT(149)=4.*PARP(81)**2/S IF(MSTP(82).GE.2) VINT(149)=4.*PARP(82)**2/S C...Formats for initialization and error information. 5000 FORMAT(1X,'Error: unrecognized beam particle ''',A,'''.'/ &1X,'Execution stopped!') 5100 FORMAT(1X,'Error: unrecognized target particle ''',A,'''.'/ &1X,'Execution stopped!') 5200 FORMAT(/1X,78('=')/1X,'I',76X,'I'/1X,'I',A76,'I') 5300 FORMAT(1X,'I',18X,'at',1X,F10.3,1X,'GeV center-of-mass energy', &19X,'I'/1X,'I',76X,'I'/1X,78('=')) 5400 FORMAT(1X,'I',22X,'at',1X,F10.3,1X,'GeV/c lab-momentum',22X,'I') 5500 FORMAT(1X,'I',76X,'I'/1X,'I',11X,'corresponding to',1X,F10.3,1X, &'GeV center-of-mass energy',12X,'I'/1X,'I',76X,'I'/1X,78('=')) 5600 FORMAT(1X,'I',76X,'I'/1X,'I',18X,'px (GeV/c)',3X,'py (GeV/c)',3X, &'pz (GeV/c)',6X,'E (GeV)',9X,'I') 5700 FORMAT(1X,'I',8X,A8,4(2X,F10.3,1X),8X,'I') 5800 FORMAT(1X,'Error: unrecognized coordinate frame ''',A,'''.'/ &1X,'Execution stopped!') 5900 FORMAT(1X,'Error: too low CM energy,',F8.3,' GeV for event ', &'generation.'/1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE PYINRE C...Calculates full and effective widths of gauge bosons, stores C...masses and widths, rescales coefficients to be used for C...resonance production generation. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/LUDAT4/CHAF(500) CHARACTER CHAF*8 COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT6/PROC(0:200) CHARACTER PROC*28 SAVE /LUDAT1/,/LUDAT2/,/LUDAT3/,/LUDAT4/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT4/,/PYINT6/ DIMENSION WDTP(0:40),WDTE(0:40,0:5) DIMENSION KCINP(16),KCORD(16),PMORD(16) DATA KCINP/23,24,25,6,7,8,17,18,32,34,35,36,37,38,39,40/ C...Born level couplings in MSSM Higgs doublet sector. XW=PARU(102) IF(MSTP(4).EQ.2) THEN TANBE=PARU(141) RATBE=((1.-TANBE**2)/(1.+TANBE**2))**2 SQMZ=PMAS(23,1)**2 SQMW=PMAS(24,1)**2 SQMH=PMAS(25,1)**2 SQMA=SQMH*(SQMZ-SQMH)/(SQMZ*RATBE-SQMH) SQMHP=0.5*(SQMA+SQMZ+SQRT((SQMA+SQMZ)**2-4.*SQMA*SQMZ*RATBE)) SQMHC=SQMA+SQMW IF(SQMH.GE.SQMZ.OR.MIN(SQMA,SQMHP,SQMHC).LE.0.) THEN WRITE(MSTU(11),5000) STOP ENDIF PMAS(35,1)=SQRT(SQMHP) PMAS(36,1)=SQRT(SQMA) PMAS(37,1)=SQRT(SQMHC) ALSU=0.5*ATAN(2.*TANBE*(SQMA+SQMZ)/((1.-TANBE**2)* & (SQMA-SQMZ))) BESU=ATAN(TANBE) PARU(142)=1. PARU(143)=1. PARU(161)=-SIN(ALSU)/COS(BESU) PARU(162)=COS(ALSU)/SIN(BESU) PARU(163)=PARU(161) PARU(164)=SIN(BESU-ALSU) PARU(165)=PARU(164) PARU(168)=SIN(BESU-ALSU)+0.5*COS(2.*BESU)*SIN(BESU+ALSU)/XW PARU(171)=COS(ALSU)/COS(BESU) PARU(172)=SIN(ALSU)/SIN(BESU) PARU(173)=PARU(171) PARU(174)=COS(BESU-ALSU) PARU(175)=PARU(174) PARU(176)=COS(2.*ALSU)*COS(BESU+ALSU)-2.*SIN(2.*ALSU)* & SIN(BESU+ALSU) PARU(177)=COS(2.*BESU)*COS(BESU+ALSU) PARU(178)=COS(BESU-ALSU)-0.5*COS(2.*BESU)*COS(BESU+ALSU)/XW PARU(181)=TANBE PARU(182)=1./TANBE PARU(183)=PARU(181) PARU(184)=0. PARU(185)=PARU(184) PARU(186)=COS(BESU-ALSU) PARU(187)=SIN(BESU-ALSU) PARU(188)=PARU(186) PARU(189)=PARU(187) PARU(190)=0. PARU(195)=COS(BESU-ALSU) ENDIF C...Change matrix element codes when top and 4th generation C...decay before fragmentation. IF(MSTP(48).GE.1) THEN IOFF=MDCY(6,2)-1 DO 100 I=4,7 MDME(IOFF+I,2)=0 100 CONTINUE MDME(IOFF+9,2)=0 ENDIF IF(MSTP(6).EQ.1) THEN IOFF=MDCY(7,2)-1 DO 110 I=1,4 MDME(IOFF+I,2)=0 110 CONTINUE IOFF=MDCY(8,2)-1 DO 120 I=1,4 MDME(IOFF+I,2)=0 120 CONTINUE IOFF=MDCY(17,2)-1 MDME(IOFF+2,2)=0 MDME(IOFF+3,2)=0 MDME(IOFF+4,2)=0 IOFF=MDCY(18,2)-1 MDME(IOFF+1,2)=0 MDME(IOFF+2,2)=0 ELSEIF(MSTP(49).GE.1) THEN IOFF=MDCY(7,2)-1 DO 130 I=4,7 MDME(IOFF+I,2)=0 130 CONTINUE MDME(IOFF+9,2)=0 MDME(IOFF+10,2)=0 IOFF=MDCY(8,2)-1 DO 140 I=4,7 MDME(IOFF+I,2)=0 140 CONTINUE MDME(IOFF+9,2)=0 MDME(IOFF+10,2)=0 IOFF=MDCY(17,2)-1 MDME(IOFF+4,2)=0 MDME(IOFF+6,2)=0 IOFF=MDCY(18,2)-1 MDME(IOFF+2,2)=0 MDME(IOFF+3,2)=0 ENDIF C...Reset full and effective widths of gauge bosons. DO 160 I=21,40 DO 150 J=0,40 WIDP(I,J)=0. WIDE(I,J)=0. 150 CONTINUE WIDS(I,1)=1. WIDS(I,2)=1. WIDS(I,3)=1. 160 CONTINUE C...Order resonances by increasing mass (except Z0 and W+/-). DO 170 I=1,3 KCORD(I)=KCINP(I) PMORD(I)=PMAS(KCORD(I),1) 170 CONTINUE DO 200 I=4,16 KCIN=KCINP(I) PMIN=PMAS(KCIN,1) DO 180 I1=I-1,3,-1 IF(PMIN.GE.PMORD(I1)) GOTO 190 KCORD(I1+1)=KCORD(I1) PMORD(I1+1)=PMORD(I1) 180 CONTINUE 190 KCORD(I1+1)=KCIN PMORD(I1+1)=PMIN 200 CONTINUE C...Loop over possible resonances. DO 250 I=1,16 KC=KCORD(I) IF(KC.EQ.6.AND.MSTP(48).LE.0) GOTO 250 IF(KC.EQ.7.OR.KC.EQ.8.OR.KC.EQ.17.OR.KC.EQ.18) THEN IF(MSTP(6).NE.1.AND.(MSTP(49).LE.0.OR.MSTP(1).LE.3)) GOTO 250 IF(KC.EQ.18.AND.PMORD(I).LT.1.) GOTO 250 ENDIF KCL=KC IF(KC.GE.6.AND.KC.LE.8) KCL=KC+20 IF(KC.EQ.17.OR.KC.EQ.18) KCL=KC+12 C...Change decay modes for q* and l*. IF(MSTP(6).EQ.1.AND.(KC.EQ.7.OR.KC.EQ.8.OR.KC.EQ.17.OR. &KC.EQ.18)) THEN DO 210 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 KF2=KFDP(IDC,2) IF(KF2.EQ.7.OR.KF2.EQ.8.OR.KF2.EQ.17.OR.KF2.EQ.18) & KFDP(IDC,2)=KF2-6 210 CONTINUE ENDIF C...Check that no fourth generation channels on by mistake. IF(MSTP(1).LE.3) THEN DO 220 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 KFA1=IABS(KFDP(IDC,1)) KFA2=IABS(KFDP(IDC,2)) IF(KFA1.EQ.7.OR.KFA1.EQ.8.OR.KFA1.EQ.17.OR.KFA1.EQ.18.OR.KFA2. & EQ.7.OR.KFA2.EQ.8.OR.KFA2.EQ.17.OR.KFA2.EQ.18) MDME(IDC,1)=-1 220 CONTINUE ENDIF C...Find mass and evaluate width. PMR=PMAS(KC,1) IF(KC.EQ.25.OR.KC.EQ.35.OR.KC.EQ.36) MINT(62)=1 CALL PYWIDT(KC,PMR**2,WDTP,WDTE) MINT(51)=0 C...Evaluate suppression factors due to non-simulated channels. IF(KCHG(KC,3).EQ.0) THEN WIDS(KCL,1)=((WDTE(0,1)+WDTE(0,2))**2+ & 2.*(WDTE(0,1)+WDTE(0,2))*(WDTE(0,4)+WDTE(0,5))+ & 2.*WDTE(0,4)*WDTE(0,5))/WDTP(0)**2 WIDS(KCL,2)=(WDTE(0,1)+WDTE(0,2)+WDTE(0,4))/WDTP(0) WIDS(KCL,3)=0. ELSE WIDS(KCL,1)=((WDTE(0,1)+WDTE(0,2))*(WDTE(0,1)+WDTE(0,3))+ & (WDTE(0,1)+WDTE(0,2)+WDTE(0,1)+WDTE(0,3))*(WDTE(0,4)+WDTE(0,5))+ & 2.*WDTE(0,4)*WDTE(0,5))/WDTP(0)**2 WIDS(KCL,2)=(WDTE(0,1)+WDTE(0,2)+WDTE(0,4))/WDTP(0) WIDS(KCL,3)=(WDTE(0,1)+WDTE(0,3)+WDTE(0,4))/WDTP(0) IF(KC.EQ.24) THEN VINT(91)=((WDTE(0,1)+WDTE(0,2))**2+2.*(WDTE(0,1)+WDTE(0,2))* & (WDTE(0,4)+WDTE(0,5))+2.*WDTE(0,4)*WDTE(0,5))/WDTP(0)**2 VINT(92)=((WDTE(0,1)+WDTE(0,3))**2+2.*(WDTE(0,1)+WDTE(0,3))* & (WDTE(0,4)+WDTE(0,5))+2.*WDTE(0,4)*WDTE(0,5))/WDTP(0)**2 ENDIF ENDIF C...Find factors to give widths in GeV. AEM=ULALEM(PMR**2) IF(KC.LE.20) THEN FAC=PMR ELSEIF(KC.EQ.23.OR.KC.EQ.32) THEN FAC=AEM/(48.*XW*(1.-XW))*PMR ELSEIF(KC.EQ.24.OR.KC.EQ.34) THEN FAC=AEM/(24.*XW)*PMR ELSEIF(KC.EQ.25.OR.KC.EQ.35.OR.KC.EQ.36.OR.KC.EQ.37) THEN FAC=AEM/(8.*XW)*(PMR/PMAS(24,1))**2*PMR ELSEIF(KC.EQ.38) THEN FAC=PMR ELSEIF(KC.EQ.39) THEN FAC=AEM/4.*PMR ELSEIF(KC.EQ.40) THEN FAC=AEM/(12.*XW)*PMR ENDIF C...Translate widths into GeV and save them. DO 230 J=0,40 WIDP(KCL,J)=FAC*WDTP(J) WIDE(KCL,J)=FAC*WDTE(J,0) 230 CONTINUE C...Set resonance widths and branching ratios in JETSET; C...also on/off switch for decays in PYTHIA/JETSET. PMAS(KC,2)=WIDP(KCL,0) PMAS(KC,3)=MIN(0.9*PMAS(KC,1),10.*PMAS(KC,2)) MDCY(KC,1)=MSTP(41) DO 240 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 BRAT(IDC)=0. IF(WIDE(KCL,0).GT.0.) BRAT(IDC)=WIDE(KCL,J)/WIDE(KCL,0) 240 CONTINUE 250 CONTINUE C...Find heaviest new quark flavour allowed in processes 81-84. KFLQM=1 DO 260 I=1,MIN(8,MDCY(21,3)) IDC=I+MDCY(21,2)-1 IF(MDME(IDC,1).LE.0) GOTO 260 KFLQM=I 260 CONTINUE IF(MSTP(7).GE.1.AND.MSTP(7).LE.8.AND.(MSEL.LE.3.OR.MSEL.GE.9)) &KFLQM=MSTP(7) MINT(55)=KFLQM KFPR(81,1)=KFLQM KFPR(81,2)=KFLQM KFPR(82,1)=KFLQM KFPR(82,2)=KFLQM KFPR(83,1)=KFLQM KFPR(84,1)=KFLQM KFPR(84,2)=KFLQM C...Find heaviest new fermion flavour allowed in process 85. KFLFM=1 DO 270 I=1,MIN(12,MDCY(22,3)) IDC=I+MDCY(22,2)-1 IF(MDME(IDC,1).LE.0) GOTO 270 KFLFM=KFDP(IDC,1) 270 CONTINUE IF(((MSTP(7).GE.1.AND.MSTP(7).LE.8).OR.(MSTP(7).GE.11.AND. &MSTP(7).LE.18)).AND.(MSEL.LE.3.OR.MSEL.GE.9)) KFLFM=MSTP(7) MINT(56)=KFLFM KFPR(85,1)=KFLFM KFPR(85,2)=KFLFM C...Flavours of leptoquark: redefine charge and name. KFLQQ=KFDP(MDCY(39,2),1) KFLQL=KFDP(MDCY(39,2),2) KCHG(39,1)=KCHG(IABS(KFLQQ),1)*ISIGN(1,KFLQQ)+ &KCHG(IABS(KFLQL),1)*ISIGN(1,KFLQL) CHAF(39)(4:4)=CHAF(IABS(KFLQQ))(1:1) CHAF(39)(5:7)=CHAF(IABS(KFLQL))(1:3) C...Scenario with q* and l*: redefine names. IF(MSTP(6).EQ.1) THEN CHAF(7)='d*' CHAF(8)='u*' CHAF(17)='e*' CHAF(18)='nu*_e' ENDIF C...Special cases in treatment of gamma*/Z0: redefine process name. IF(MSTP(43).EQ.1) THEN PROC(1)='f + f~ -> gamma*' PROC(15)='f + f~ -> g + gamma*' PROC(19)='f + f~ -> gamma + gamma*' PROC(30)='f + g -> f + gamma*' PROC(35)='f + gamma -> f + gamma*' ELSEIF(MSTP(43).EQ.2) THEN PROC(1)='f + f~ -> Z0' PROC(15)='f + f~ -> g + Z0' PROC(19)='f + f~ -> gamma + Z0' PROC(30)='f + g -> f + Z0' PROC(35)='f + gamma -> f + Z0' ELSEIF(MSTP(43).EQ.3) THEN PROC(1)='f + f~ -> gamma*/Z0' PROC(15)='f + f~ -> g + gamma*/Z0' PROC(19)='f + f~ -> gamma + gamma*/Z0' PROC(30)='f + g -> f + gamma*/Z0' PROC(35)='f + gamma -> f + gamma*/Z0' ENDIF C...Special cases in treatment of gamma*/Z0/Z'0: redefine process name. IF(MSTP(44).EQ.1) THEN PROC(141)='f + f~ -> gamma*' ELSEIF(MSTP(44).EQ.2) THEN PROC(141)='f + f~ -> Z0' ELSEIF(MSTP(44).EQ.3) THEN PROC(141)='f + f~ -> Z''0' ELSEIF(MSTP(44).EQ.4) THEN PROC(141)='f + f~ -> gamma*/Z0' ELSEIF(MSTP(44).EQ.5) THEN PROC(141)='f + f~ -> gamma*/Z''0' ELSEIF(MSTP(44).EQ.6) THEN PROC(141)='f + f~ -> Z0/Z''0' ELSEIF(MSTP(44).EQ.7) THEN PROC(141)='f + f~ -> gamma*/Z0/Z''0' ENDIF C...Special cases in treatment of WW -> WW: redefine process name. IF(MSTP(45).EQ.1) THEN PROC(77)='W+ + W+ -> W+ + W+' ELSEIF(MSTP(45).EQ.2) THEN PROC(77)='W+ + W- -> W+ + W-' ELSEIF(MSTP(45).EQ.3) THEN PROC(77)='W+/- + W+/- -> W+/- + W+/-' ENDIF C...Format for error information. 5000 FORMAT(1X,'Error: unphysical input tan^2(beta) and m_H ', &'combination'/1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE PYXTOT C...Parametrizes total, elastic and diffractive cross-sections C...for different energies and beams. Donnachie-Landshoff for C...total and Schuler-Sjostrand for elastic and diffractive. C...Process code IPROC: C...= 1 : p + p; C...= 2 : pbar + p; C...= 3 : pi+ + p; C...= 4 : pi- + p; C...= 5 : pi0 + p; C...= 6 : phi + p; C...= 7 : J/psi + p; C...= 11 : rho + rho; C...= 12 : rho + phi; C...= 13 : rho + J/psi; C...= 14 : phi + phi; C...= 15 : phi + J/psi; C...= 16 : J/psi + J/psi; C...= 21 : gamma + p (DL); C...= 22 : gamma + p (VDM). C...= 23 : gamma + pi (DL); C...= 24 : gamma + pi (VDM); C...= 25 : gamma + gamma (DL); C...= 26 : gamma + gamma (VDM). COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT7/SIGT(0:6,0:6,0:5) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/,/PYINT5/,/PYINT7/ DIMENSION NPROC(30),XPAR(30),YPAR(30),IHADA(20),IHADB(20), &PMHAD(4),BHAD(4),BETP(4),IFITSD(20),IFITDD(20),CEFFS(10,10), &CEFFD(10,10),SIGTMP(6,0:5) C...Common constants. DATA EPS/0.0808/, ETA/-0.4525/, ALP/0.25/, CRES/2./, PMRC/1.062/, &SMP/0.880/, FACEL/0.0511/, FACSD/0.0336/, FACDD/0.0084/ C...Number of multiple processes to be evaluated (= 0 : undefined). DATA NPROC/7*1,3*0,1,9*0,4*3,6*0/ C...X and Y parameters of sigmatot = X * s**epsilon + Y * s**(-eta). DATA XPAR/2*21.70,3*13.63,10.01,0.970,3*0.,8.56,9*0., &0.0677,0.0534,0.0425,0.0335,6*0./ DATA YPAR/56.08,98.39,27.56,36.02,31.79,-1.51,-0.146,3*0., &19.97,9*0.,0.129,0.115,0.081,0.072,6*0./ C...Beam and target hadron class: C...= 1 : p/n ; = 2 : pi/rho/omega; = 3 : phi; = 4 : J/psi. DATA IHADA/2*1,3*2,3,4,3*0,3*2,2*3,4,4*0/ DATA IHADB/7*1,3*0,2,3,4,3,2*4,4*0/ C...Characteristic class masses, slope parameters, beta = sqrt(X). DATA PMHAD/0.938,0.770,1.020,3.097/ DATA BHAD/2.3,1.4,1.4,0.23/ DATA BETP/4.658,2.926,2.149,0.208/ C...Fitting constants used in parametrizations of diffractive results. DATA IFITSD/2*1,3*2,3,4,3*0,5,9*0/ DATA IFITDD/2*1,3*2,3,4,3*0,5,9*0/ DATA ((CEFFS(J1,J2),J2=1,10),J1=1,10)/ & 0.213, 0., -0.47, 150., 0.213, 0., -0.47, 150., 0., 0., & 0.213, 0., -0.47, 150., 0.267, 0., -0.47, 100., 0., 0., & 0.213, 0., -0.47, 150., 0.232, 0., -0.47, 110., 0., 0., & 0.213, 7., -0.55, 800., 0.115, 0., -0.47, 110., 0., 0., & 0.267, 0., -0.46, 75., 0.267, 0., -0.46, 75., 0., 0., & 50*0./ DATA ((CEFFD(J1,J2),J2=1,10),J1=1,10)/ & 3.11, -7.34, 9.71, 0.068, -0.42, 1.31, -1.37, 35.0, 118., 0., & 3.11, -7.10, 10.6, 0.073, -0.41, 1.17, -1.41, 31.6, 95., 0., & 3.12, -7.43, 9.21, 0.067, -0.44, 1.41, -1.35, 36.5, 132., 0., & 3.13, -8.18, -4.20, 0.056, -0.71, 3.12, -1.12, 55.2, 1298., 0., & 3.11, -6.90, 11.4, 0.078, -0.40, 1.05, -1.40, 28.4, 78., 0., & 50*0./ C...Order flavours of incoming particles: KF1 < KF2. IF(IABS(MINT(11)).LE.IABS(MINT(12))) THEN KF1=IABS(MINT(11)) KF2=IABS(MINT(12)) IORD=1 ELSE KF1=IABS(MINT(12)) KF2=IABS(MINT(11)) IORD=2 ENDIF ISGN12=ISIGN(1,MINT(11)*MINT(12)) C...Find process number (for lookup tables). IF(KF1.GT.1000) THEN IPROC=1 IF(ISGN12.LT.0) IPROC=2 ELSEIF(KF1.GT.100.AND.KF2.GT.1000) THEN IPROC=3 IF(ISGN12.LT.0) IPROC=4 IF(KF1.EQ.111) IPROC=5 ELSEIF(KF1.GT.100) THEN IPROC=11 ELSEIF(KF2.GT.1000) THEN IPROC=21 IF(MSTP(14).EQ.2) IPROC=22 ELSEIF(KF2.GT.100) THEN IPROC=23 IF(MSTP(14).EQ.2) IPROC=24 ELSE IPROC=25 IF(MSTP(14).EQ.2) IPROC=26 ENDIF C... Number of multiple processes to be stored; beam/target side. NPR=NPROC(IPROC) MINT(101)=1 MINT(102)=1 IF(NPR.EQ.3) THEN MINT(100+IORD)=4 ELSEIF(NPR.EQ.6) THEN MINT(101)=4 MINT(102)=4 ENDIF N1=0 IF(MINT(101).EQ.4) N1=4 N2=0 IF(MINT(102).EQ.4) N2=4 C...Do not do any more for user-set or undefined cross-sections. IF(MSTP(31).LE.0) RETURN IF(NPR.EQ.0) CALL LUERRM(26, &'(PYXTOT:) cross section for this process not yet implemented') C...Parameters. Combinations of the energy. AEM=PARU(101) PMTH=PARP(102) S=VINT(2) SRT=VINT(1) SEPS=S**EPS SETA=S**ETA SLOG=LOG(S) C...Loop over multiple processes (for VDM). DO 100 I=1,NPR IF(NPR.EQ.1) THEN IPR=IPROC ELSEIF(NPR.EQ.3) THEN IPR=I+4 IF(KF2.LT.1000) IPR=I+10 ELSEIF(NPR.EQ.6) THEN IPR=I+10 ENDIF C...Evaluate hadron species, mass, slope contribution and fit number. IHA=IHADA(IPR) IHB=IHADB(IPR) PMA=PMHAD(IHA) PMB=PMHAD(IHB) BHA=BHAD(IHA) BHB=BHAD(IHB) ISD=IFITSD(IPR) IDD=IFITDD(IPR) C...Total cross-section. Elastic slope parameter and cross-section. SIGTMP(I,0)=XPAR(IPR)*SEPS+YPAR(IPR)*SETA BEL=2.*BHA+2.*BHB+4.*SEPS-4.2 SIGTMP(I,1)=FACEL*SIGTMP(I,0)**2/BEL C...Diffractive scattering A + B -> X + B. BSD=2.*BHB SQML=(PMA+PMTH)**2 SQMU=S*CEFFS(ISD,1)+CEFFS(ISD,2) SUM1=LOG((BSD+2.*ALP*LOG(S/SQML))/ &(BSD+2.*ALP*LOG(S/SQMU)))/(2.*ALP) BXB=CEFFS(ISD,3)+CEFFS(ISD,4)/S SUM2=CRES*LOG(1.+((PMA+PMRC)/(PMA+PMTH))**2)/ &(BSD+2.*ALP*LOG(S/((PMA+PMTH)*(PMA+PMRC)))+BXB) SIGTMP(I,2)=FACSD*XPAR(IPR)*BETP(IHB)*(SUM1+SUM2) C...Diffractive scattering A + B -> A + X. BSD=2.*BHA SQML=(PMB+PMTH)**2 SQMU=S*CEFFS(ISD,5)+CEFFS(ISD,6) SUM1=LOG((BSD+2.*ALP*LOG(S/SQML))/ &(BSD+2.*ALP*LOG(S/SQMU)))/(2.*ALP) BAX=CEFFS(ISD,7)+CEFFS(ISD,8)/S SUM2=CRES*LOG(1.+((PMB+PMRC)/(PMB+PMTH))**2)/ &(BSD+2.*ALP*LOG(S/((PMB+PMTH)*(PMB+PMRC)))+BAX) SIGTMP(I,3)=FACSD*XPAR(IPR)*BETP(IHA)*(SUM1+SUM2) C...Order single diffractive correctly. IF(IORD.EQ.2) THEN SIGSAV=SIGTMP(I,2) SIGTMP(I,2)=SIGTMP(I,3) SIGTMP(I,3)=SIGSAV ENDIF C...Double diffractive scattering A + B -> X1 + X2. YEFF=LOG(S*SMP/((PMA+PMTH)*(PMB+PMTH))**2) DEFF=CEFFD(IDD,1)+CEFFD(IDD,2)/SLOG+CEFFD(IDD,3)/SLOG**2 SUM1=DEFF+YEFF*(LOG(MAX(1E-10,YEFF/DEFF))-1.)/(2.*ALP) SQMU=S*(CEFFD(IDD,4)+CEFFD(IDD,5)/SLOG+CEFFD(IDD,6)/SLOG**2) SLUP=LOG(S/(ALP*(PMA+PMTH)**2*(PMB+PMTH)*(PMB+PMRC))) SLDN=LOG(S/(ALP*SQMU*(PMB+PMTH)*(PMB+PMRC))) SUM2=CRES*LOG(1.+((PMB+PMRC)/(PMB+PMTH))**2)*LOG(SLUP/SLDN)/ &(2.*ALP) SLUP=LOG(S/(ALP*(PMB+PMTH)**2*(PMA+PMTH)*(PMA+PMRC))) SLDN=LOG(S/(ALP*SQMU*(PMA+PMTH)*(PMA+PMRC))) SUM3=CRES*LOG(1.+((PMA+PMRC)/(PMA+PMTH))**2)*LOG(SLUP/SLDN)/ &(2.*ALP) BXX=CEFFD(IDD,7)+CEFFD(IDD,8)/SRT+CEFFD(IDD,9)/S SLRR=LOG(S/(ALP*(PMA+PMTH)*(PMA+PMRC)*(PMB+PMTH)*(PMB*PMRC))) SUM4=CRES**2*LOG(1.+((PMA+PMRC)/(PMA+PMTH))**2)* &LOG(1.+((PMB+PMRC)/(PMB+PMTH))**2)/(2.*ALP*SLRR+BXX) SIGTMP(I,4)=FACDD*XPAR(IPR)*(SUM1+SUM2+SUM3+SUM4) C...Non-diffractive by unitarity. SIGTMP(I,5)=SIGTMP(I,0)-SIGTMP(I,1)-SIGTMP(I,2)-SIGTMP(I,3)- &SIGTMP(I,4) 100 CONTINUE C...Put temporary results in output array: only one process. IF(MINT(101).EQ.1.AND.MINT(102).EQ.1) THEN DO 110 J=0,5 SIGT(0,0,J)=SIGTMP(1,J) 110 CONTINUE C...Beam multiple processes. ELSEIF(MINT(101).EQ.4.AND.MINT(102).EQ.1) THEN DO 130 I=1,4 CONV=AEM/PARP(160+I) I1=MAX(1,I-1) DO 120 J=0,5 SIGT(I,0,J)=CONV*SIGTMP(I1,J) 120 CONTINUE 130 CONTINUE DO 140 J=0,5 SIGT(0,0,J)=SIGT(1,0,J)+SIGT(2,0,J)+SIGT(3,0,J)+SIGT(4,0,J) 140 CONTINUE C...Target multiple processes. ELSEIF(MINT(101).EQ.1.AND.MINT(102).EQ.4) THEN DO 160 I=1,4 CONV=AEM/PARP(160+I) IV=MAX(1,I-1) DO 150 J=0,5 SIGT(0,I,J)=CONV*SIGTMP(IV,J) 150 CONTINUE 160 CONTINUE DO 170 J=0,5 SIGT(0,0,J)=SIGT(0,1,J)+SIGT(0,2,J)+SIGT(0,3,J)+SIGT(0,4,J) 170 CONTINUE C...Both beam and target multiple processes. ELSE DO 200 I1=1,4 DO 190 I2=1,4 CONV=AEM**2/(PARP(160+I1)*PARP(160+I2)) IF(I1.LE.2) THEN IV=MAX(1,I2-1) ELSEIF(I2.LE.2) THEN IV=MAX(1,I1-1) ELSEIF(I1.EQ.I2) THEN IV=2*I1-2 ELSE IV=5 ENDIF DO 180 J=0,5 SIGT(I1,I2,J)=CONV*SIGTMP(IV,J) 180 CONTINUE 190 CONTINUE 200 CONTINUE DO 220 J=0,5 DO 210 I=1,4 SIGT(I,0,J)=SIGT(I,1,J)+SIGT(I,2,J)+SIGT(I,3,J)+SIGT(I,4,J) SIGT(0,I,J)=SIGT(I,0,J) 210 CONTINUE SIGT(0,0,J)=SIGT(1,0,J)+SIGT(2,0,J)+SIGT(3,0,J)+SIGT(4,0,J) 220 CONTINUE ENDIF C...Scale up uniformly for Donnachie-Landshoff parametrization. IF(IPROC.EQ.21.OR.IPROC.EQ.23.OR.IPROC.EQ.25) THEN RFAC=(XPAR(IPROC)*SEPS+YPAR(IPROC)*SETA)/SIGT(0,0,0) DO 250 I1=0,N1 DO 240 I2=0,N2 DO 230 J=0,5 SIGT(I1,I2,J)=RFAC*SIGT(I1,I2,J) 230 CONTINUE 240 CONTINUE 250 CONTINUE ENDIF C...Ratio of gamma/pi (for rescaling in structure functions). VINT(281)=1. IF(IPROC.GE.21) THEN IPREF=5 IF(IPROC.GE.23) IPREF=11 VINT(281)=SIGT(0,0,0)/(XPAR(IPREF)*SEPS+YPAR(IPREF)*SETA) IF(IPROC.GE.25) VINT(281)=SQRT(VINT(281)) ENDIF RETURN END C********************************************************************* SUBROUTINE PYMAXI C...Finds optimal set of coefficients for kinematical variable selection C...and the maximum of the part of the differential cross-section used C...in the event weighting. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT6/PROC(0:200) CHARACTER PROC*28 COMMON/PYINT7/SIGT(0:6,0:6,0:5) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYINT6/,/PYINT7/ CHARACTER CVAR(4)*4 DIMENSION NPTS(4),MVARPT(500,4),VINTPT(500,30),SIGSPT(500), &NAREL(7),WTREL(7),WTMAT(7,7),WTRELN(7),COEFU(7),COEFO(7), &IACCMX(4),SIGSMX(4),SIGSSM(3) DATA CVAR/'tau ','tau''','y* ','cth '/ C...Select subprocess to study: skip cases not applicable. NPOSI=0 VINT(143)=1. VINT(144)=1. XSEC(0,1)=0. DO 440 ISUB=1,200 MINT(51)=0 IF(ISET(ISUB).EQ.11) THEN XSEC(ISUB,1)=1.00001*COEF(ISUB,1) NPOSI=NPOSI+1 GOTO 430 ELSEIF(ISUB.GE.91.AND.ISUB.LE.95) THEN XSEC(ISUB,1)=SIGT(0,0,ISUB-90) IF(MSUB(ISUB).NE.1) GOTO 440 NPOSI=NPOSI+1 GOTO 430 ELSEIF(ISUB.EQ.96) THEN IF(MINT(50).EQ.0) GOTO 440 IF(MSUB(95).NE.1.AND.MSTP(81).LE.0.AND.MSTP(131).LE.0) GOTO 440 IF(MINT(49).EQ.0.AND.MSTP(131).EQ.0) GOTO 440 ELSEIF(ISUB.EQ.11.OR.ISUB.EQ.12.OR.ISUB.EQ.13.OR.ISUB.EQ.28.OR. &ISUB.EQ.53.OR.ISUB.EQ.68) THEN IF(MSUB(ISUB).NE.1.OR.MSUB(95).EQ.1) GOTO 440 ELSE IF(MSUB(ISUB).NE.1) GOTO 440 ENDIF MINT(1)=ISUB ISTSB=ISET(ISUB) IF(ISUB.EQ.96) ISTSB=2 IF(MSTP(122).GE.2) WRITE(MSTU(11),5000) ISUB MWTXS=0 IF(MSTP(142).GE.1.AND.ISUB.NE.96.AND.MSUB(91)+MSUB(92)+MSUB(93)+ &MSUB(94)+MSUB(95).EQ.0) MWTXS=1 C...Find resonances (explicit or implicit in cross-section). MINT(72)=0 KFR1=0 IF(ISTSB.EQ.1.OR.ISTSB.EQ.3.OR.ISTSB.EQ.5) THEN KFR1=KFPR(ISUB,1) ELSEIF(ISUB.EQ.24.OR.ISUB.EQ.25.OR.ISUB.EQ.110.OR.ISUB.EQ.165.OR. &ISUB.EQ.171.OR.ISUB.EQ.176) THEN KFR1=23 ELSEIF(ISUB.EQ.23.OR.ISUB.EQ.26.OR.ISUB.EQ.166.OR.ISUB.EQ.172.OR. &ISUB.EQ.177) THEN KFR1=24 ELSEIF(ISUB.GE.71.AND.ISUB.LE.77) THEN KFR1=25 IF(MSTP(46).EQ.5) THEN KFR1=30 PMAS(30,1)=PARP(45) PMAS(30,2)=PARP(45)**3/(96.*PARU(1)*PARP(47)**2) ENDIF ENDIF CKMX=CKIN(2) IF(CKMX.LE.0.) CKMX=VINT(1) IF(KFR1.NE.0) THEN IF(CKIN(1).GT.PMAS(KFR1,1)+20.*PMAS(KFR1,2).OR. & CKMX.LT.PMAS(KFR1,1)-20.*PMAS(KFR1,2)) KFR1=0 ENDIF IF(KFR1.NE.0) THEN TAUR1=PMAS(KFR1,1)**2/VINT(2) GAMR1=PMAS(KFR1,1)*PMAS(KFR1,2)/VINT(2) MINT(72)=1 MINT(73)=KFR1 VINT(73)=TAUR1 VINT(74)=GAMR1 ENDIF IF(ISUB.EQ.141) THEN KFR2=23 TAUR2=PMAS(KFR2,1)**2/VINT(2) GAMR2=PMAS(KFR2,1)*PMAS(KFR2,2)/VINT(2) IF(CKIN(1).GT.PMAS(KFR2,1)+20.*PMAS(KFR2,2).OR. & CKMX.LT.PMAS(KFR2,1)-20.*PMAS(KFR2,2)) KFR2=0 IF(KFR2.NE.0.AND.KFR1.NE.0) THEN MINT(72)=2 MINT(74)=KFR2 VINT(75)=TAUR2 VINT(76)=GAMR2 ELSEIF(KFR2.NE.0) THEN KFR1=KFR2 TAUR1=TAUR2 GAMR1=GAMR2 MINT(72)=1 MINT(73)=KFR1 VINT(73)=TAUR1 VINT(74)=GAMR1 ENDIF ENDIF C...Find product masses and minimum pT of process. SQM3=0. SQM4=0. MINT(71)=0 VINT(71)=CKIN(3) VINT(80)=1. IF(ISTSB.EQ.2.OR.ISTSB.EQ.4) THEN NBW=0 DO 100 I=1,2 IF(KFPR(ISUB,I).EQ.0) THEN ELSEIF(MSTP(42).LE.0.OR.PMAS(LUCOMP(KFPR(ISUB,I)),2).LT. & PARP(41)) THEN IF(I.EQ.1) SQM3=PMAS(LUCOMP(KFPR(ISUB,I)),1)**2 IF(I.EQ.2) SQM4=PMAS(LUCOMP(KFPR(ISUB,I)),1)**2 ELSE NBW=NBW+1 ENDIF 100 CONTINUE IF(NBW.GE.1) THEN CALL PYOFSH(3,0,KFPR(ISUB,1),KFPR(ISUB,2),0.,PQM3,PQM4) IF(MINT(51).EQ.1) THEN WRITE(MSTU(11),5100) ISUB MSUB(ISUB)=0 GOTO 440 ENDIF SQM3=PQM3**2 SQM4=PQM4**2 ENDIF IF(MIN(SQM3,SQM4).LT.CKIN(6)**2) MINT(71)=1 IF(MINT(71).EQ.1) VINT(71)=MAX(CKIN(3),CKIN(5)) IF(ISUB.EQ.96.AND.MSTP(82).LE.1) VINT(71)=PARP(81) IF(ISUB.EQ.96.AND.MSTP(82).GE.2) VINT(71)=0.08*PARP(82) ELSEIF(ISTSB.EQ.6) THEN CALL PYOFSH(5,0,KFPR(ISUB,1),KFPR(ISUB,2),0.,PQM3,PQM4) IF(MINT(51).EQ.1) THEN WRITE(MSTU(11),5100) ISUB MSUB(ISUB)=0 GOTO 440 ENDIF SQM3=PQM3**2 SQM4=PQM4**2 ENDIF VINT(63)=SQM3 VINT(64)=SQM4 C...Prepare for additional variable choices in 2 -> 3. IF(ISTSB.EQ.5) THEN VINT(201)=0. IF(KFPR(ISUB,2).GT.0) VINT(201)=PMAS(KFPR(ISUB,2),1) VINT(206)=VINT(201) VINT(204)=PMAS(23,1) IF(ISUB.EQ.124) VINT(204)=PMAS(24,1) IF(ISUB.EQ.121.OR.ISUB.EQ.122) VINT(204)=VINT(201) VINT(209)=VINT(204) ENDIF C...Number of points for each variable: tau, tau', y*, cos(theta-hat). NPTS(1)=2+2*MINT(72) IF(MINT(47).EQ.1) THEN IF(ISTSB.EQ.1.OR.ISTSB.EQ.2.OR.ISTSB.EQ.6) NPTS(1)=1 ELSEIF(MINT(47).EQ.5) THEN IF(ISTSB.LE.2.OR.ISTSB.GE.6) NPTS(1)=NPTS(1)+1 ENDIF NPTS(2)=1 IF(ISTSB.GE.3.AND.ISTSB.LE.5) THEN IF(MINT(47).GE.2) NPTS(2)=2 IF(MINT(47).EQ.5) NPTS(2)=3 ENDIF NPTS(3)=1 IF(MINT(47).GE.4) NPTS(3)=3 IF(MINT(45).EQ.3) NPTS(3)=NPTS(3)+1 IF(MINT(46).EQ.3) NPTS(3)=NPTS(3)+1 NPTS(4)=1 IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) NPTS(4)=5 NTRY=NPTS(1)*NPTS(2)*NPTS(3)*NPTS(4) C...Reset coefficients of cross-section weighting. DO 110 J=1,20 COEF(ISUB,J)=0. 110 CONTINUE COEF(ISUB,1)=1. COEF(ISUB,8)=0.5 COEF(ISUB,9)=0.5 COEF(ISUB,13)=1. COEF(ISUB,18)=1. MCTH=0 MTAUP=0 METAUP=0 VINT(23)=0. VINT(26)=0. SIGSAM=0. C...Find limits and select tau, y*, cos(theta-hat) and tau' values, C...in grid of phase space points. CALL PYKLIM(1) METAU=MINT(51) NACC=0 DO 140 ITRY=1,NTRY MINT(51)=0 IF(METAU.EQ.1) GOTO 140 IF(MOD(ITRY-1,NPTS(2)*NPTS(3)*NPTS(4)).EQ.0) THEN MTAU=1+(ITRY-1)/(NPTS(2)*NPTS(3)*NPTS(4)) IF(MTAU.GT.2+2*MINT(72)) MTAU=7 CALL PYKMAP(1,MTAU,0.5) IF(ISTSB.GE.3.AND.ISTSB.LE.5) CALL PYKLIM(4) METAUP=MINT(51) ENDIF IF(METAUP.EQ.1) GOTO 140 IF(ISTSB.GE.3.AND.ISTSB.LE.5.AND.MOD(ITRY-1,NPTS(3)*NPTS(4)). &EQ.0) THEN MTAUP=1+MOD((ITRY-1)/(NPTS(3)*NPTS(4)),NPTS(2)) CALL PYKMAP(4,MTAUP,0.5) ENDIF IF(MOD(ITRY-1,NPTS(3)*NPTS(4)).EQ.0) THEN CALL PYKLIM(2) MEYST=MINT(51) ENDIF IF(MEYST.EQ.1) GOTO 140 IF(MOD(ITRY-1,NPTS(4)).EQ.0) THEN MYST=1+MOD((ITRY-1)/NPTS(4),NPTS(3)) IF(MYST.EQ.4.AND.MINT(45).NE.3) MYST=5 CALL PYKMAP(2,MYST,0.5) CALL PYKLIM(3) MECTH=MINT(51) ENDIF IF(MECTH.EQ.1) GOTO 140 IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) THEN MCTH=1+MOD(ITRY-1,NPTS(4)) CALL PYKMAP(3,MCTH,0.5) ENDIF IF(ISUB.EQ.96) VINT(25)=VINT(21)*(1.-VINT(23)**2) C...Store position and limits. MINT(51)=0 CALL PYKLIM(0) IF(MINT(51).EQ.1) GOTO 140 NACC=NACC+1 MVARPT(NACC,1)=MTAU MVARPT(NACC,2)=MTAUP MVARPT(NACC,3)=MYST MVARPT(NACC,4)=MCTH DO 120 J=1,30 VINTPT(NACC,J)=VINT(10+J) 120 CONTINUE C...Normal case: calculate cross-section. IF(ISTSB.NE.5) THEN CALL PYSIGH(NCHN,SIGS) IF(MWTXS.EQ.1) THEN CALL PYEVWT(WTXS) SIGS=WTXS*SIGS ENDIF C..2 -> 3: find highest value out of a number of tries. ELSE SIGS=0. DO 130 IKIN3=1,MSTP(129) CALL PYKMAP(5,0,0.) IF(MINT(51).EQ.1) GOTO 130 CALL PYSIGH(NCHN,SIGTMP) IF(MWTXS.EQ.1) THEN CALL PYEVWT(WTXS) SIGTMP=WTXS*SIGTMP ENDIF IF(SIGTMP.GT.SIGS) SIGS=SIGTMP 130 CONTINUE ENDIF C...Store cross-section. SIGSPT(NACC)=SIGS IF(SIGS.GT.SIGSAM) SIGSAM=SIGS IF(MSTP(122).GE.2) WRITE(MSTU(11),5200) MTAU,MYST,MCTH,MTAUP, &VINT(21),VINT(22),VINT(23),VINT(26),SIGS 140 CONTINUE IF(NACC.EQ.0) THEN WRITE(MSTU(11),5100) ISUB MSUB(ISUB)=0 GOTO 440 ELSEIF(SIGSAM.EQ.0.) THEN WRITE(MSTU(11),5300) ISUB MSUB(ISUB)=0 GOTO 440 ENDIF IF(ISUB.NE.96) NPOSI=NPOSI+1 C...Calculate integrals in tau over maximal phase space limits. TAUMIN=VINT(11) TAUMAX=VINT(31) ATAU1=LOG(TAUMAX/TAUMIN) IF(NPTS(1).GE.2) THEN ATAU2=(TAUMAX-TAUMIN)/(TAUMAX*TAUMIN) ENDIF IF(NPTS(1).GE.4) THEN ATAU3=LOG(TAUMAX/TAUMIN*(TAUMIN+TAUR1)/(TAUMAX+TAUR1))/TAUR1 ATAU4=(ATAN((TAUMAX-TAUR1)/GAMR1)-ATAN((TAUMIN-TAUR1)/GAMR1))/ & GAMR1 ENDIF IF(NPTS(1).GE.6) THEN ATAU5=LOG(TAUMAX/TAUMIN*(TAUMIN+TAUR2)/(TAUMAX+TAUR2))/TAUR2 ATAU6=(ATAN((TAUMAX-TAUR2)/GAMR2)-ATAN((TAUMIN-TAUR2)/GAMR2))/ & GAMR2 ENDIF IF(NPTS(1).GT.2+2*MINT(72)) THEN ATAU7=LOG(MAX(2E-6,1.-TAUMIN)/MAX(2E-6,1.-TAUMAX)) ENDIF C...Reset. Sum up cross-sections in points calculated. DO 300 IVAR=1,4 IF(NPTS(IVAR).EQ.1) GOTO 300 IF(ISUB.EQ.96.AND.IVAR.EQ.4) GOTO 300 NBIN=NPTS(IVAR) DO 160 J1=1,NBIN NAREL(J1)=0 WTREL(J1)=0. COEFU(J1)=0. DO 150 J2=1,NBIN WTMAT(J1,J2)=0. 150 CONTINUE 160 CONTINUE DO 170 IACC=1,NACC IBIN=MVARPT(IACC,IVAR) IF(IVAR.EQ.1.AND.IBIN.EQ.7) IBIN=3+2*MINT(72) IF(IVAR.EQ.3.AND.IBIN.EQ.5.AND.MINT(45).NE.3) IBIN=4 NAREL(IBIN)=NAREL(IBIN)+1 WTREL(IBIN)=WTREL(IBIN)+SIGSPT(IACC) C...Sum up tau cross-section pieces in points used. IF(IVAR.EQ.1) THEN TAU=VINTPT(IACC,11) WTMAT(IBIN,1)=WTMAT(IBIN,1)+1. WTMAT(IBIN,2)=WTMAT(IBIN,2)+(ATAU1/ATAU2)/TAU IF(NBIN.GE.4) THEN WTMAT(IBIN,3)=WTMAT(IBIN,3)+(ATAU1/ATAU3)/(TAU+TAUR1) WTMAT(IBIN,4)=WTMAT(IBIN,4)+(ATAU1/ATAU4)*TAU/ & ((TAU-TAUR1)**2+GAMR1**2) ENDIF IF(NBIN.GE.6) THEN WTMAT(IBIN,5)=WTMAT(IBIN,5)+(ATAU1/ATAU5)/(TAU+TAUR2) WTMAT(IBIN,6)=WTMAT(IBIN,6)+(ATAU1/ATAU6)*TAU/ & ((TAU-TAUR2)**2+GAMR2**2) ENDIF IF(NBIN.GT.2+2*MINT(72)) THEN WTMAT(IBIN,NBIN)=WTMAT(IBIN,NBIN)+(ATAU1/ATAU7)* & TAU/MAX(2E-6,1.-TAU) ENDIF C...Sum up tau' cross-section pieces in points used. ELSEIF(IVAR.EQ.2) THEN TAU=VINTPT(IACC,11) TAUP=VINTPT(IACC,16) TAUPMN=VINTPT(IACC,6) TAUPMX=VINTPT(IACC,26) ATAUP1=LOG(TAUPMX/TAUPMN) ATAUP2=((1.-TAU/TAUPMX)**4-(1.-TAU/TAUPMN)**4)/(4.*TAU) WTMAT(IBIN,1)=WTMAT(IBIN,1)+1. WTMAT(IBIN,2)=WTMAT(IBIN,2)+(ATAUP1/ATAUP2)*(1.-TAU/TAUP)**3/ & TAUP IF(NBIN.GE.3) THEN ATAUP3=LOG(MAX(2E-6,1.-TAUPMN)/MAX(2E-6,1.-TAUPMX)) WTMAT(IBIN,3)=WTMAT(IBIN,3)+(ATAUP1/ATAUP3)* & TAUP/MAX(2E-6,1.-TAUP) ENDIF C...Sum up y* cross-section pieces in points used. ELSEIF(IVAR.EQ.3) THEN YST=VINTPT(IACC,12) YSTMIN=VINTPT(IACC,2) YSTMAX=VINTPT(IACC,22) AYST0=YSTMAX-YSTMIN AYST1=0.5*(YSTMAX-YSTMIN)**2 AYST2=AYST1 AYST3=2.*(ATAN(EXP(YSTMAX))-ATAN(EXP(YSTMIN))) WTMAT(IBIN,1)=WTMAT(IBIN,1)+(AYST0/AYST1)*(YST-YSTMIN) WTMAT(IBIN,2)=WTMAT(IBIN,2)+(AYST0/AYST2)*(YSTMAX-YST) WTMAT(IBIN,3)=WTMAT(IBIN,3)+(AYST0/AYST3)/COSH(YST) IF(MINT(45).EQ.3) THEN TAUE=VINTPT(IACC,11) IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUE=VINTPT(IACC,16) YST0=-0.5*LOG(TAUE) AYST4=LOG(MAX(1E-6,EXP(YST0-YSTMIN)-1.)/ & MAX(1E-6,EXP(YST0-YSTMAX)-1.)) WTMAT(IBIN,4)=WTMAT(IBIN,4)+(AYST0/AYST4)/ & MAX(1E-6,1.-EXP(YST-YST0)) ENDIF IF(MINT(46).EQ.3) THEN TAUE=VINTPT(IACC,11) IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUE=VINTPT(IACC,16) YST0=-0.5*LOG(TAUE) AYST5=LOG(MAX(1E-6,EXP(YST0+YSTMAX)-1.)/ & MAX(1E-6,EXP(YST0+YSTMIN)-1.)) WTMAT(IBIN,NBIN)=WTMAT(IBIN,NBIN)+(AYST0/AYST5)/ & MAX(1E-6,1.-EXP(-YST-YST0)) ENDIF C...Sum up cos(theta-hat) cross-section pieces in points used. ELSE RM34=MAX(1E-20,2.*SQM3*SQM4/(VINTPT(IACC,11)*VINT(2))**2) RSQM=1.+RM34 CTHMAX=SQRT(1.-4.*VINT(71)**2/(TAUMAX*VINT(2))) CTHMIN=-CTHMAX IF(CTHMAX.GT.0.9999) RM34=MAX(RM34,2.*VINT(71)**2/ & (TAUMAX*VINT(2))) ACTH1=CTHMAX-CTHMIN ACTH2=LOG(MAX(RM34,RSQM-CTHMIN)/MAX(RM34,RSQM-CTHMAX)) ACTH3=LOG(MAX(RM34,RSQM+CTHMAX)/MAX(RM34,RSQM+CTHMIN)) ACTH4=1./MAX(RM34,RSQM-CTHMAX)-1./MAX(RM34,RSQM-CTHMIN) ACTH5=1./MAX(RM34,RSQM+CTHMIN)-1./MAX(RM34,RSQM+CTHMAX) CTH=VINTPT(IACC,13) WTMAT(IBIN,1)=WTMAT(IBIN,1)+1. WTMAT(IBIN,2)=WTMAT(IBIN,2)+(ACTH1/ACTH2)/MAX(RM34,RSQM-CTH) WTMAT(IBIN,3)=WTMAT(IBIN,3)+(ACTH1/ACTH3)/MAX(RM34,RSQM+CTH) WTMAT(IBIN,4)=WTMAT(IBIN,4)+(ACTH1/ACTH4)/MAX(RM34,RSQM-CTH)**2 WTMAT(IBIN,5)=WTMAT(IBIN,5)+(ACTH1/ACTH5)/MAX(RM34,RSQM+CTH)**2 ENDIF 170 CONTINUE C...Check that equation system solvable; else trivial way out. IF(MSTP(122).GE.2) WRITE(MSTU(11),5400) CVAR(IVAR) MSOLV=1 WTRELS=0. DO 180 IBIN=1,NBIN IF(MSTP(122).GE.2) WRITE(MSTU(11),5500) (WTMAT(IBIN,IRED), &IRED=1,NBIN),WTREL(IBIN) IF(NAREL(IBIN).EQ.0) MSOLV=0 WTRELS=WTRELS+WTREL(IBIN) 180 CONTINUE IF(MSOLV.EQ.0) THEN DO 190 IBIN=1,NBIN COEFU(IBIN)=1. WTRELN(IBIN)=0.1 IF(WTRELS.GT.0.) WTRELN(IBIN)=MAX(0.1,WTREL(IBIN)/WTRELS) 190 CONTINUE C...Solve to find relative importance of cross-section pieces. ELSE DO 200 IBIN=1,NBIN WTRELN(IBIN)=MAX(0.1,WTREL(IBIN)/WTRELS) 200 CONTINUE DO 230 IRED=1,NBIN-1 DO 220 IBIN=IRED+1,NBIN RQT=WTMAT(IBIN,IRED)/WTMAT(IRED,IRED) WTREL(IBIN)=WTREL(IBIN)-RQT*WTREL(IRED) DO 210 ICOE=IRED,NBIN WTMAT(IBIN,ICOE)=WTMAT(IBIN,ICOE)-RQT*WTMAT(IRED,ICOE) 210 CONTINUE 220 CONTINUE 230 CONTINUE DO 250 IRED=NBIN,1,-1 DO 240 ICOE=IRED+1,NBIN WTREL(IRED)=WTREL(IRED)-WTMAT(IRED,ICOE)*COEFU(ICOE) 240 CONTINUE COEFU(IRED)=WTREL(IRED)/WTMAT(IRED,IRED) 250 CONTINUE ENDIF C...Normalize coefficients, with piece shared democratically. COEFSU=0. WTRELS=0. DO 260 IBIN=1,NBIN COEFU(IBIN)=MAX(0.,COEFU(IBIN)) COEFSU=COEFSU+COEFU(IBIN) WTRELS=WTRELS+WTRELN(IBIN) 260 CONTINUE IF(COEFSU.GT.0.) THEN DO 270 IBIN=1,NBIN COEFO(IBIN)=PARP(122)/NBIN+(1.-PARP(122))*0.5* & (COEFU(IBIN)/COEFSU+WTRELN(IBIN)/WTRELS) 270 CONTINUE ELSE DO 280 IBIN=1,NBIN COEFO(IBIN)=1./NBIN 280 CONTINUE ENDIF IF(IVAR.EQ.1) IOFF=0 IF(IVAR.EQ.2) IOFF=17 IF(IVAR.EQ.3) IOFF=7 IF(IVAR.EQ.4) IOFF=12 DO 290 IBIN=1,NBIN ICOF=IOFF+IBIN IF(IVAR.EQ.1.AND.IBIN.GT.2+2*MINT(72)) ICOF=7 IF(IVAR.EQ.3.AND.IBIN.EQ.4.AND.MINT(45).NE.3) ICOF=ICOF+1 COEF(ISUB,ICOF)=COEFO(IBIN) 290 CONTINUE IF(MSTP(122).GE.2) WRITE(MSTU(11),5600) CVAR(IVAR), &(COEFO(IBIN),IBIN=1,NBIN) 300 CONTINUE C...Find two most promising maxima among points previously determined. DO 310 J=1,4 IACCMX(J)=0 SIGSMX(J)=0. 310 CONTINUE NMAX=0 DO 370 IACC=1,NACC DO 320 J=1,30 VINT(10+J)=VINTPT(IACC,J) 320 CONTINUE IF(ISTSB.NE.5) THEN CALL PYSIGH(NCHN,SIGS) IF(MWTXS.EQ.1) THEN CALL PYEVWT(WTXS) SIGS=WTXS*SIGS ENDIF ELSE SIGS=0. DO 330 IKIN3=1,MSTP(129) CALL PYKMAP(5,0,0.) IF(MINT(51).EQ.1) GOTO 330 CALL PYSIGH(NCHN,SIGTMP) IF(MWTXS.EQ.1) THEN CALL PYEVWT(WTXS) SIGTMP=WTXS*SIGTMP ENDIF IF(SIGTMP.GT.SIGS) SIGS=SIGTMP 330 CONTINUE ENDIF IEQ=0 DO 340 IMV=1,NMAX IF(ABS(SIGS-SIGSMX(IMV)).LT.1E-4*(SIGS+SIGSMX(IMV))) IEQ=IMV 340 CONTINUE IF(IEQ.EQ.0) THEN DO 350 IMV=NMAX,1,-1 IIN=IMV+1 IF(SIGS.LE.SIGSMX(IMV)) GOTO 360 IACCMX(IMV+1)=IACCMX(IMV) SIGSMX(IMV+1)=SIGSMX(IMV) 350 CONTINUE IIN=1 360 IACCMX(IIN)=IACC SIGSMX(IIN)=SIGS IF(NMAX.LE.1) NMAX=NMAX+1 ENDIF 370 CONTINUE C...Read out starting position for search. IF(MSTP(122).GE.2) WRITE(MSTU(11),5700) SIGSAM=SIGSMX(1) DO 420 IMAX=1,NMAX IACC=IACCMX(IMAX) MTAU=MVARPT(IACC,1) MTAUP=MVARPT(IACC,2) MYST=MVARPT(IACC,3) MCTH=MVARPT(IACC,4) VTAU=0.5 VYST=0.5 VCTH=0.5 VTAUP=0.5 C...Starting point and step size in parameter space. DO 410 IRPT=1,2 DO 400 IVAR=1,4 IF(NPTS(IVAR).EQ.1) GOTO 400 IF(IVAR.EQ.1) VVAR=VTAU IF(IVAR.EQ.2) VVAR=VTAUP IF(IVAR.EQ.3) VVAR=VYST IF(IVAR.EQ.4) VVAR=VCTH IF(IVAR.EQ.1) MVAR=MTAU IF(IVAR.EQ.2) MVAR=MTAUP IF(IVAR.EQ.3) MVAR=MYST IF(IVAR.EQ.4) MVAR=MCTH IF(IRPT.EQ.1) VDEL=0.1 IF(IRPT.EQ.2) VDEL=MAX(0.01,MIN(0.05,VVAR-0.02,0.98-VVAR)) IF(IRPT.EQ.1) VMAR=0.02 IF(IRPT.EQ.2) VMAR=0.002 IMOV0=1 IF(IRPT.EQ.1.AND.IVAR.EQ.1) IMOV0=0 DO 390 IMOV=IMOV0,8 C...Define new point in parameter space. IF(IMOV.EQ.0) THEN INEW=2 VNEW=VVAR ELSEIF(IMOV.EQ.1) THEN INEW=3 VNEW=VVAR+VDEL ELSEIF(IMOV.EQ.2) THEN INEW=1 VNEW=VVAR-VDEL ELSEIF(SIGSSM(3).GE.MAX(SIGSSM(1),SIGSSM(2)).AND. &VVAR+2.*VDEL.LT.1.-VMAR) THEN VVAR=VVAR+VDEL SIGSSM(1)=SIGSSM(2) SIGSSM(2)=SIGSSM(3) INEW=3 VNEW=VVAR+VDEL ELSEIF(SIGSSM(1).GE.MAX(SIGSSM(2),SIGSSM(3)).AND. &VVAR-2.*VDEL.GT.VMAR) THEN VVAR=VVAR-VDEL SIGSSM(3)=SIGSSM(2) SIGSSM(2)=SIGSSM(1) INEW=1 VNEW=VVAR-VDEL ELSEIF(SIGSSM(3).GE.SIGSSM(1)) THEN VDEL=0.5*VDEL VVAR=VVAR+VDEL SIGSSM(1)=SIGSSM(2) INEW=2 VNEW=VVAR ELSE VDEL=0.5*VDEL VVAR=VVAR-VDEL SIGSSM(3)=SIGSSM(2) INEW=2 VNEW=VVAR ENDIF C...Convert to relevant variables and find derived new limits. IF(IVAR.EQ.1) THEN VTAU=VNEW CALL PYKMAP(1,MTAU,VTAU) IF(ISTSB.GE.3.AND.ISTSB.LE.5) CALL PYKLIM(4) ENDIF IF(IVAR.LE.2.AND.ISTSB.GE.3.AND.ISTSB.LE.5) THEN IF(IVAR.EQ.2) VTAUP=VNEW CALL PYKMAP(4,MTAUP,VTAUP) ENDIF IF(IVAR.LE.2) CALL PYKLIM(2) IF(IVAR.LE.3) THEN IF(IVAR.EQ.3) VYST=VNEW CALL PYKMAP(2,MYST,VYST) CALL PYKLIM(3) ENDIF IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) THEN IF(IVAR.EQ.4) VCTH=VNEW CALL PYKMAP(3,MCTH,VCTH) ENDIF IF(ISUB.EQ.96) VINT(25)=VINT(21)*(1.-VINT(23)**2) C...Evaluate cross-section. Save new maximum. Final maximum. IF(ISTSB.NE.5) THEN CALL PYSIGH(NCHN,SIGS) IF(MWTXS.EQ.1) THEN CALL PYEVWT(WTXS) SIGS=WTXS*SIGS ENDIF ELSE SIGS=0. DO 380 IKIN3=1,MSTP(129) CALL PYKMAP(5,0,0.) IF(MINT(51).EQ.1) GOTO 380 CALL PYSIGH(NCHN,SIGTMP) IF(MWTXS.EQ.1) THEN CALL PYEVWT(WTXS) SIGTMP=WTXS*SIGTMP ENDIF IF(SIGTMP.GT.SIGS) SIGS=SIGTMP 380 CONTINUE ENDIF SIGSSM(INEW)=SIGS IF(SIGS.GT.SIGSAM) SIGSAM=SIGS IF(MSTP(122).GE.2) WRITE(MSTU(11),5800) IMAX,IVAR,MVAR,IMOV, &VNEW,VINT(21),VINT(22),VINT(23),VINT(26),SIGS 390 CONTINUE 400 CONTINUE 410 CONTINUE 420 CONTINUE IF(MSTP(121).EQ.1) SIGSAM=PARP(121)*SIGSAM XSEC(ISUB,1)=1.05*SIGSAM 430 IF(ISUB.NE.96) XSEC(0,1)=XSEC(0,1)+XSEC(ISUB,1) 440 CONTINUE MINT(51)=0 C...Print summary table. IF(NPOSI.EQ.0) THEN WRITE(MSTU(11),5900) STOP ENDIF IF(MSTP(122).GE.1) THEN WRITE(MSTU(11),6000) WRITE(MSTU(11),6100) DO 450 ISUB=1,200 IF(MSUB(ISUB).NE.1.AND.ISUB.NE.96) GOTO 450 IF(ISUB.EQ.96.AND.MINT(50).EQ.0) GOTO 450 IF(ISUB.EQ.96.AND.MSUB(95).NE.1.AND.MSTP(81).LE.0) GOTO 450 IF(ISUB.EQ.96.AND.MINT(49).EQ.0.AND.MSTP(131).EQ.0) GOTO 450 IF(MSUB(95).EQ.1.AND.(ISUB.EQ.11.OR.ISUB.EQ.12.OR.ISUB.EQ.13.OR. & ISUB.EQ.28.OR.ISUB.EQ.53.OR.ISUB.EQ.68)) GOTO 450 WRITE(MSTU(11),6200) ISUB,PROC(ISUB),XSEC(ISUB,1) 450 CONTINUE WRITE(MSTU(11),6300) ENDIF C...Format statements for maximization results. 5000 FORMAT(/1X,'Coefficient optimization and maximum search for ', &'subprocess no',I4/1X,'Coefficient modes tau',10X,'y*',9X, &'cth',9X,'tau''',7X,'sigma') 5100 FORMAT(1X,'Warning: requested subprocess ',I3,' has no allowed ', &'phase space.'/1X,'Process switched off!') 5200 FORMAT(1X,4I4,F12.8,F12.6,F12.7,F12.8,1P,E12.4) 5300 FORMAT(1X,'Warning: requested subprocess ',I3,' has vanishing ', &'cross-section.'/1X,'Process switched off!') 5400 FORMAT(1X,'Coefficients of equation system to be solved for ',A4) 5500 FORMAT(1X,1P,8E11.3) 5600 FORMAT(1X,'Result for ',A4,':',7F9.4) 5700 FORMAT(1X,'Maximum search for given coefficients'/2X,'MAX VAR ', &'MOD MOV VNEW',7X,'tau',7X,'y*',8X,'cth',7X,'tau''',7X,'sigma') 5800 FORMAT(1X,4I4,F8.4,F11.7,F9.3,F11.6,F11.7,1P,E12.4) 5900 FORMAT(1X,'Error: no requested process has non-vanishing ', &'cross-section.'/1X,'Execution stopped!') 6000 FORMAT(/1X,8('*'),1X,'PYMAXI: summary of differential ', &'cross-section maximum search',1X,8('*')) 6100 FORMAT(/11X,58('=')/11X,'I',38X,'I',17X,'I'/11X,'I ISUB ', &'Subprocess name',15X,'I Maximum value I'/11X,'I',38X,'I', &17X,'I'/11X,58('=')/11X,'I',38X,'I',17X,'I') 6200 FORMAT(11X,'I',2X,I3,3X,A28,2X,'I',2X,1P,E12.4,3X,'I') 6300 FORMAT(11X,'I',38X,'I',17X,'I'/11X,58('=')) RETURN END C********************************************************************* SUBROUTINE PYEVKI C...Sets up kinematics, event by event, when supposed to vary. C...Includes rotations and boosts to/from CM frame. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/ C...Set initial state. Reset boost/rotation variables. N=2 K(1,1)=1 K(2,1)=1 K(1,2)=MINT(11) K(2,2)=MINT(12) DO 100 J=6,10 VINT(J)=0. 100 CONTINUE C...Set up kinematics for events defined in CM frame. IF(MINT(111).EQ.1) THEN WIN=PARP(171)*VINT(290) S=WIN**2 P(1,5)=VINT(3) P(2,5)=VINT(4) P(1,1)=0. P(1,2)=0. P(2,1)=0. P(2,2)=0. P(1,3)=SQRT(((S-P(1,5)**2-P(2,5)**2)**2-(2.*P(1,5)*P(2,5))**2)/ & (4.*S)) P(2,3)=-P(1,3) P(1,4)=SQRT(P(1,3)**2+P(1,5)**2) P(2,4)=SQRT(P(2,3)**2+P(2,5)**2) C...Set up kinematics for fixed target events. ELSEIF(MINT(111).EQ.2) THEN WIN=PARP(171)*VINT(290) P(1,5)=VINT(3) P(2,5)=VINT(4) P(1,1)=0. P(1,2)=0. P(2,1)=0. P(2,2)=0. P(1,3)=WIN P(1,4)=SQRT(P(1,3)**2+P(1,5)**2) P(2,3)=0. P(2,4)=P(2,5) S=P(1,5)**2+P(2,5)**2+2.*P(2,4)*P(1,4) VINT(10)=P(1,3)/(P(1,4)+P(2,4)) CALL LUROBO(0.,0.,0.,0.,-VINT(10)) C...Set up kinematics for events in user-defined frame. ELSEIF(MINT(111).EQ.3) THEN P(1,5)=VINT(3) P(2,5)=VINT(4) P(1,4)=SQRT(P(1,1)**2+P(1,2)**2+P(1,3)**2+P(1,5)**2) P(2,4)=SQRT(P(2,1)**2+P(2,2)**2+P(2,3)**2+P(2,5)**2) DO 110 J=1,3 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 110 CONTINUE CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) VINT(7)=ULANGL(P(1,1),P(1,2)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) VINT(6)=ULANGL(P(1,3),P(1,1)) CALL LUROBO(-VINT(6),0.,0.,0.,0.) S=P(1,5)**2+P(2,5)**2+2.*(P(1,4)*P(2,4)-P(1,3)*P(2,3)) C...Set up kinematics for events with user-defined four-vectors. ELSEIF(MINT(111).EQ.4) THEN PMS1=P(1,4)**2-P(1,1)**2-P(1,2)**2-P(1,3)**2 P(1,5)=SIGN(SQRT(ABS(PMS1)),PMS1) PMS2=P(2,4)**2-P(2,1)**2-P(2,2)**2-P(2,3)**2 P(2,5)=SIGN(SQRT(ABS(PMS2)),PMS2) DO 120 J=1,3 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 120 CONTINUE CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) VINT(7)=ULANGL(P(1,1),P(1,2)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) VINT(6)=ULANGL(P(1,3),P(1,1)) CALL LUROBO(-VINT(6),0.,0.,0.,0.) S=(P(1,4)+P(2,4))**2 C...Set up kinematics for events with user-defined five-vectors. ELSEIF(MINT(111).EQ.5) THEN DO 130 J=1,3 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 130 CONTINUE CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) VINT(7)=ULANGL(P(1,1),P(1,2)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) VINT(6)=ULANGL(P(1,3),P(1,1)) CALL LUROBO(-VINT(6),0.,0.,0.,0.) S=(P(1,4)+P(2,4))**2 ENDIF C...Return or error for too low CM energy. IF(S.LT.PARP(2)**2) THEN IF(MSTP(172).LE.1) THEN CALL LUERRM(23, & '(PYEVKI:) too low invariant mass in this event') ELSE MSTI(61)=1 RETURN ENDIF ENDIF C...Save information on incoming particles. VINT(1)=SQRT(S) VINT(2)=S VINT(5)=P(1,3) DO 140 J=1,5 VINT(290+J)=P(1,J) VINT(295+J)=P(2,J) 140 CONTINUE C...Store constants to be used in generation. IF(MSTP(82).LE.1) VINT(149)=4.*PARP(81)**2/S IF(MSTP(82).GE.2) VINT(149)=4.*PARP(82)**2/S RETURN END C********************************************************************* SUBROUTINE PYPILE(MPILE) C...Initializes multiplicity distribution and selects mutliplicity C...of pileup events, i.e. several events occuring at the same C...beam crossing. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT7/SIGT(0:6,0:6,0:5) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/,/PYINT7/ DIMENSION WTI(0:200) SAVE IMIN,IMAX,WTI,WTS C...Sum of allowed cross-sections for pileup events. IF(MPILE.EQ.1) THEN VINT(131)=SIGT(0,0,5) IF(MSTP(132).GE.2) VINT(131)=VINT(131)+SIGT(0,0,4) IF(MSTP(132).GE.3) VINT(131)=VINT(131)+SIGT(0,0,2)+SIGT(0,0,3) IF(MSTP(132).GE.4) VINT(131)=VINT(131)+SIGT(0,0,1) IF(MSTP(133).LE.0) RETURN C...Initialize multiplicity distribution at maximum. XNAVE=VINT(131)*PARP(131) IF(XNAVE.GT.120.) WRITE(MSTU(11),5000) XNAVE INAVE=MAX(1,MIN(200,NINT(XNAVE))) WTI(INAVE)=1. WTS=WTI(INAVE) WTN=WTI(INAVE)*INAVE C...Find shape of multiplicity distribution below maximum. IMIN=INAVE DO 100 I=INAVE-1,1,-1 IF(MSTP(133).EQ.1) WTI(I)=WTI(I+1)*(I+1)/XNAVE IF(MSTP(133).GE.2) WTI(I)=WTI(I+1)*I/XNAVE IF(WTI(I).LT.1E-6) GOTO 110 WTS=WTS+WTI(I) WTN=WTN+WTI(I)*I IMIN=I 100 CONTINUE C...Find shape of multiplicity distribution above maximum. 110 IMAX=INAVE DO 120 I=INAVE+1,200 IF(MSTP(133).EQ.1) WTI(I)=WTI(I-1)*XNAVE/I IF(MSTP(133).GE.2) WTI(I)=WTI(I-1)*XNAVE/(I-1) IF(WTI(I).LT.1E-6) GOTO 130 WTS=WTS+WTI(I) WTN=WTN+WTI(I)*I IMAX=I 120 CONTINUE 130 VINT(132)=XNAVE VINT(133)=WTN/WTS IF(MSTP(133).EQ.1.AND.IMIN.EQ.1) VINT(134)= & WTS/(WTS+WTI(1)/XNAVE) IF(MSTP(133).EQ.1.AND.IMIN.GT.1) VINT(134)=1. IF(MSTP(133).GE.2) VINT(134)=XNAVE C...Pick multiplicity of pileup events. ELSE IF(MSTP(133).LE.0) THEN MINT(81)=MAX(1,MSTP(134)) ELSE WTR=WTS*RLU(0) DO 140 I=IMIN,IMAX MINT(81)=I WTR=WTR-WTI(I) IF(WTR.LE.0.) GOTO 150 140 CONTINUE 150 CONTINUE ENDIF ENDIF C...Format statement for error message. 5000 FORMAT(1X,'Warning: requested average number of events per bunch', &'crossing too large, ',1P,E12.4) RETURN END C********************************************************************* SUBROUTINE PYRAND C...Generates quantities characterizing the high-pT scattering at the C...parton level according to the matrix elements. Chooses incoming, C...reacting partons, their momentum fractions and one of the possible C...subprocesses. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT7/SIGT(0:6,0:6,0:5) COMMON/PYUPPR/NUP,KUP(20,7),PUP(20,5),NFUP,IFUP(10,2),Q2UP(0:10) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYINT7/,/PYUPPR/ DIMENSION XPQ(-25:25),PMM(2),PDIF(4),BHAD(4) C...Parameters and data used in elastic/diffractive treatment. DATA EPS/0.0808/, ALP/0.25/, CRES/2./, PMRC/1.062/, SMP/0.880/ DATA BHAD/2.3,1.4,1.4,0.23/ C...Initial values, specifically for (first) semihard interaction. MINT(10)=0 MINT(17)=0 MINT(18)=0 VINT(143)=1. VINT(144)=1. IF(MSUB(95).EQ.1.OR.MINT(82).GE.2) CALL PYMULT(2) MFAIL=0 IF(MSTP(171).EQ.1.AND.MSTP(172).EQ.2) MFAIL=1 ISUB=0 LOOP=0 100 LOOP=LOOP+1 MINT(51)=0 C...Choice of process type - first event of pileup. IF(MINT(82).EQ.1.AND.(ISUB.LE.90.OR.ISUB.GT.96)) THEN RSUB=XSEC(0,1)*RLU(0) DO 110 I=1,200 IF(MSUB(I).NE.1) GOTO 110 ISUB=I RSUB=RSUB-XSEC(I,1) IF(RSUB.LE.0.) GOTO 120 110 CONTINUE 120 IF(ISUB.EQ.95) ISUB=96 C...Choice of inclusive process type - pileup events. ELSEIF(MINT(82).GE.2.AND.ISUB.EQ.0) THEN RSUB=VINT(131)*RLU(0) ISUB=96 IF(RSUB.GT.SIGT(0,0,5)) ISUB=94 IF(RSUB.GT.SIGT(0,0,5)+SIGT(0,0,4)) ISUB=93 IF(RSUB.GT.SIGT(0,0,5)+SIGT(0,0,4)+SIGT(0,0,3)) ISUB=92 IF(RSUB.GT.SIGT(0,0,5)+SIGT(0,0,4)+SIGT(0,0,3)+SIGT(0,0,2)) & ISUB=91 ENDIF IF(MINT(82).EQ.1) NGEN(0,1)=NGEN(0,1)+1 IF(MINT(82).EQ.1) NGEN(ISUB,1)=NGEN(ISUB,1)+1 IF(ISUB.EQ.96.AND.LOOP.EQ.1.AND.MINT(82).EQ.1) &NGEN(97,1)=NGEN(97,1)+1 MINT(1)=ISUB ISTSB=ISET(ISUB) C...Find resonances (explicit or implicit in cross-section). MINT(72)=0 KFR1=0 IF(ISTSB.EQ.1.OR.ISTSB.EQ.3.OR.ISTSB.EQ.5) THEN KFR1=KFPR(ISUB,1) ELSEIF(ISUB.EQ.24.OR.ISUB.EQ.25.OR.ISUB.EQ.110.OR.ISUB.EQ.165.OR. &ISUB.EQ.171.OR.ISUB.EQ.176) THEN KFR1=23 ELSEIF(ISUB.EQ.23.OR.ISUB.EQ.26.OR.ISUB.EQ.166.OR.ISUB.EQ.172.OR. &ISUB.EQ.177) THEN KFR1=24 ELSEIF(ISUB.GE.71.AND.ISUB.LE.77) THEN KFR1=25 IF(MSTP(46).EQ.5) THEN KFR1=30 PMAS(30,1)=PARP(45) PMAS(30,2)=PARP(45)**3/(96.*PARU(1)*PARP(47)**2) ENDIF ENDIF CKMX=CKIN(2) IF(CKMX.LE.0.) CKMX=VINT(1) IF(KFR1.NE.0) THEN IF(CKIN(1).GT.PMAS(KFR1,1)+20.*PMAS(KFR1,2).OR. & CKMX.LT.PMAS(KFR1,1)-20.*PMAS(KFR1,2)) KFR1=0 ENDIF IF(KFR1.NE.0) THEN TAUR1=PMAS(KFR1,1)**2/VINT(2) GAMR1=PMAS(KFR1,1)*PMAS(KFR1,2)/VINT(2) MINT(72)=1 MINT(73)=KFR1 VINT(73)=TAUR1 VINT(74)=GAMR1 ENDIF IF(ISUB.EQ.141) THEN KFR2=23 TAUR2=PMAS(KFR2,1)**2/VINT(2) GAMR2=PMAS(KFR2,1)*PMAS(KFR2,2)/VINT(2) IF(CKIN(1).GT.PMAS(KFR2,1)+20.*PMAS(KFR2,2).OR. & CKMX.LT.PMAS(KFR2,1)-20.*PMAS(KFR2,2)) KFR2=0 IF(KFR2.NE.0.AND.KFR1.NE.0) THEN MINT(72)=2 MINT(74)=KFR2 VINT(75)=TAUR2 VINT(76)=GAMR2 ELSEIF(KFR2.NE.0) THEN KFR1=KFR2 TAUR1=TAUR2 GAMR1=GAMR2 MINT(72)=1 MINT(73)=KFR1 VINT(73)=TAUR1 VINT(74)=GAMR1 ENDIF ENDIF C...Find product masses and minimum pT of process, C...optionally with broadening according to a truncated Breit-Wigner. VINT(63)=0. VINT(64)=0. MINT(71)=0 VINT(71)=CKIN(3) IF(MINT(82).GE.2) VINT(71)=0. VINT(80)=1. IF(ISTSB.EQ.2.OR.ISTSB.EQ.4) THEN NBW=0 DO 130 I=1,2 IF(KFPR(ISUB,I).EQ.0) THEN ELSEIF(MSTP(42).LE.0.OR.PMAS(LUCOMP(KFPR(ISUB,I)),2).LT. & PARP(41)) THEN VINT(62+I)=PMAS(LUCOMP(KFPR(ISUB,I)),1)**2 ELSE NBW=NBW+1 ENDIF 130 CONTINUE IF(NBW.GE.1) THEN CALL PYOFSH(4,0,KFPR(ISUB,1),KFPR(ISUB,2),0.,PQM3,PQM4) IF(MINT(51).EQ.1) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF VINT(63)=PQM3**2 VINT(64)=PQM4**2 ENDIF IF(MIN(VINT(63),VINT(64)).LT.CKIN(6)**2) MINT(71)=1 IF(MINT(71).EQ.1) VINT(71)=MAX(CKIN(3),CKIN(5)) ELSEIF(ISTSB.EQ.6) THEN CALL PYOFSH(6,0,KFPR(ISUB,1),KFPR(ISUB,2),0.,PQM3,PQM4) IF(MINT(51).EQ.1) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF VINT(63)=PQM3**2 VINT(64)=PQM4**2 ENDIF C...Prepare for additional variable choices in 2 -> 3. IF(ISTSB.EQ.5) THEN VINT(201)=0. IF(KFPR(ISUB,2).GT.0) VINT(201)=PMAS(KFPR(ISUB,2),1) VINT(206)=VINT(201) VINT(204)=PMAS(23,1) IF(ISUB.EQ.124) VINT(204)=PMAS(24,1) IF(ISUB.EQ.121.OR.ISUB.EQ.122) VINT(204)=VINT(201) VINT(209)=VINT(204) ENDIF C...Select incoming VDM particle (rho/omega/phi/J/psi). IF(ISTSB.NE.0.AND.(MINT(101).GE.2.OR.MINT(102).GE.2).AND. &MSTP(14).EQ.2) THEN VRN=RLU(0)*SIGT(0,0,5) IF(MINT(101).LE.1) THEN I1MN=0 I1MX=0 ELSE I1MN=1 I1MX=MINT(101) ENDIF IF(MINT(102).LE.1) THEN I2MN=0 I2MX=0 ELSE I2MN=1 I2MX=MINT(102) ENDIF DO 150 I1=I1MN,I1MX KFV1=110*I1+3 DO 140 I2=I2MN,I2MX KFV2=110*I2+3 VRN=VRN-SIGT(I1,I2,5) IF(VRN.LE.0.) GOTO 160 140 CONTINUE 150 CONTINUE 160 IF(MINT(101).GE.2) MINT(103)=KFV1 IF(MINT(102).GE.2) MINT(104)=KFV2 ENDIF IF(ISTSB.EQ.0) THEN C...Elastic scattering or single or double diffractive scattering. C...Select incoming particle (rho/omega/phi/J/psi for VDM) and mass. MINT(103)=MINT(11) MINT(104)=MINT(12) PMM(1)=VINT(3) PMM(2)=VINT(4) IF(MINT(101).GE.2.OR.MINT(102).GE.2) THEN JJ=ISUB-90 VRN=RLU(0)*SIGT(0,0,JJ) IF(MINT(101).LE.1) THEN I1MN=0 I1MX=0 ELSE I1MN=1 I1MX=MINT(101) ENDIF IF(MINT(102).LE.1) THEN I2MN=0 I2MX=0 ELSE I2MN=1 I2MX=MINT(102) ENDIF DO 180 I1=I1MN,I1MX KFV1=110*I1+3 DO 170 I2=I2MN,I2MX KFV2=110*I2+3 VRN=VRN-SIGT(I1,I2,JJ) IF(VRN.LE.0.) GOTO 190 170 CONTINUE 180 CONTINUE 190 IF(MINT(101).GE.2) THEN MINT(103)=KFV1 PMM(1)=ULMASS(KFV1) ENDIF IF(MINT(102).GE.2) THEN MINT(104)=KFV2 PMM(2)=ULMASS(KFV2) ENDIF ENDIF C...Side/sides of diffractive system. MINT(17)=0 MINT(18)=0 IF(ISUB.EQ.92.OR.ISUB.EQ.94) MINT(17)=1 IF(ISUB.EQ.93.OR.ISUB.EQ.94) MINT(18)=1 C...Find masses of particles and minimal masses of diffractive states. DO 200 JT=1,2 PDIF(JT)=PMM(JT) VINT(66+JT)=PDIF(JT) IF(MINT(16+JT).EQ.1) PDIF(JT)=PDIF(JT)+PARP(102) 200 CONTINUE SH=VINT(2) SQM1=PMM(1)**2 SQM2=PMM(2)**2 SQM3=PDIF(1)**2 SQM4=PDIF(2)**2 SMRES1=(PMM(1)+PMRC)**2 SMRES2=(PMM(2)+PMRC)**2 C...Find elastic slope and lower limit diffractive slope. IHA=MAX(2,IABS(MINT(103))/110) IF(IHA.GE.5) IHA=1 IHB=MAX(2,IABS(MINT(104))/110) IF(IHB.GE.5) IHB=1 IF(ISUB.EQ.91) THEN BMN=2.*BHAD(IHA)+2.*BHAD(IHB)+4.*SH**EPS-4.2 ELSEIF(ISUB.EQ.92) THEN BMN=MAX(2.,2.*BHAD(IHB)) ELSEIF(ISUB.EQ.93) THEN BMN=MAX(2.,2.*BHAD(IHA)) ELSEIF(ISUB.EQ.94) THEN BMN=2.*ALP*4. ENDIF C...Determine maximum possible t range and coefficient of generation. SQLA12=(SH-SQM1-SQM2)**2-4.*SQM1*SQM2 SQLA34=(SH-SQM3-SQM4)**2-4.*SQM3*SQM4 THA=SH-(SQM1+SQM2+SQM3+SQM4)+(SQM1-SQM2)*(SQM3-SQM4)/SH THB=SQRT(MAX(0.,SQLA12))*SQRT(MAX(0.,SQLA34))/SH THC=(SQM3-SQM1)*(SQM4-SQM2)+(SQM1+SQM4-SQM2-SQM3)* & (SQM1*SQM4-SQM2*SQM3)/SH THL=-0.5*(THA+THB) THU=THC/THL THRND=EXP(MAX(-50.,BMN*(THL-THU)))-1. C...Select diffractive mass/masses according to dm^2/m^2. 210 DO 220 JT=1,2 IF(MINT(16+JT).EQ.0) THEN PDIF(2+JT)=PDIF(JT) ELSE PMMIN=PDIF(JT) PMMAX=MAX(VINT(2+JT),VINT(1)-PDIF(3-JT)) PDIF(2+JT)=PMMIN*(PMMAX/PMMIN)**RLU(0) ENDIF 220 CONTINUE SQM3=PDIF(3)**2 SQM4=PDIF(4)**2 C..Additional mass factors, including resonance enhancement. IF(PDIF(3)+PDIF(4).GE.VINT(1)) GOTO 210 IF(ISUB.EQ.92) THEN FSD=(1.-SQM3/SH)*(1.+CRES*SMRES1/(SMRES1+SQM3)) IF(FSD.LT.RLU(0)*(1.+CRES)) GOTO 210 ELSEIF(ISUB.EQ.93) THEN FSD=(1.-SQM4/SH)*(1.+CRES*SMRES2/(SMRES2+SQM4)) IF(FSD.LT.RLU(0)*(1.+CRES)) GOTO 210 ELSEIF(ISUB.EQ.94) THEN FDD=(1.-(PDIF(3)+PDIF(4))**2/SH)*(SH*SMP/(SH*SMP+SQM3*SQM4))* & (1.+CRES*SMRES1/(SMRES1+SQM3))*(1.+CRES*SMRES2/(SMRES2+SQM4)) IF(FDD.LT.RLU(0)*(1.+CRES)**2) GOTO 210 ENDIF C...Select t according to exp(Bmn*t) and correct to right slope. TH=THU+LOG(1.+THRND*RLU(0))/BMN IF(ISUB.GE.92) THEN IF(ISUB.EQ.92) THEN BADD=2.*ALP*LOG(SH/SQM3) IF(BHAD(IHB).LT.1.) BADD=MAX(0.,BADD+2.*BHAD(IHB)-2.) ELSEIF(ISUB.EQ.93) THEN BADD=2.*ALP*LOG(SH/SQM4) IF(BHAD(IHA).LT.1.) BADD=MAX(0.,BADD+2.*BHAD(IHA)-2.) ELSEIF(ISUB.EQ.94) THEN BADD=2.*ALP*(LOG(EXP(4.)+SH/(ALP*SQM3*SQM4))-4.) ENDIF IF(EXP(MAX(-50.,BADD*(TH-THU))).LT.RLU(0)) GOTO 210 ENDIF C...Check whether m^2 and t choices are consistent. SQLA34=(SH-SQM3-SQM4)**2-4.*SQM3*SQM4 THA=SH-(SQM1+SQM2+SQM3+SQM4)+(SQM1-SQM2)*(SQM3-SQM4)/SH THB=SQRT(MAX(0.,SQLA12))*SQRT(MAX(0.,SQLA34))/SH THC=(SQM3-SQM1)*(SQM4-SQM2)+(SQM1+SQM4-SQM2-SQM3)* & (SQM1*SQM4-SQM2*SQM3)/SH THLM=-0.5*(THA+THB) THUM=THC/THLM IF(TH.LT.THLM.OR.TH.GT.THUM) GOTO 210 C...Information to output. VINT(21)=1. VINT(22)=0. VINT(23)=MIN(1.,MAX(-1.,(THA+2.*TH)/THB)) VINT(45)=TH VINT(59)=2.*SQRT(MAX(0.,-(THC+THA*TH+TH**2)))/THB VINT(63)=PDIF(3)**2 VINT(64)=PDIF(4)**2 C...Note: in the following, by In is meant the integral over the C...quantity multiplying coefficient cn. C...Choose tau according to h1(tau)/tau, where C...h1(tau) = c1 + I1/I2*c2*1/tau + I1/I3*c3*1/(tau+tau_R) + C...I1/I4*c4*tau/((s*tau-m^2)^2+(m*Gamma)^2) + C...I1/I5*c5*1/(tau+tau_R') + C...I1/I6*c6*tau/((s*tau-m'^2)^2+(m'*Gamma')^2) + C...I1/I7*c7*tau/(1.-tau), and C...c1 + c2 + c3 + c4 + c5 + c6 + c7 = 1. ELSEIF(ISTSB.GE.1.AND.ISTSB.LE.6) THEN CALL PYKLIM(1) IF(MINT(51).NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF RTAU=RLU(0) MTAU=1 IF(RTAU.GT.COEF(ISUB,1)) MTAU=2 IF(RTAU.GT.COEF(ISUB,1)+COEF(ISUB,2)) MTAU=3 IF(RTAU.GT.COEF(ISUB,1)+COEF(ISUB,2)+COEF(ISUB,3)) MTAU=4 IF(RTAU.GT.COEF(ISUB,1)+COEF(ISUB,2)+COEF(ISUB,3)+COEF(ISUB,4)) & MTAU=5 IF(RTAU.GT.COEF(ISUB,1)+COEF(ISUB,2)+COEF(ISUB,3)+COEF(ISUB,4)+ & COEF(ISUB,5)) MTAU=6 IF(RTAU.GT.COEF(ISUB,1)+COEF(ISUB,2)+COEF(ISUB,3)+COEF(ISUB,4)+ & COEF(ISUB,5)+COEF(ISUB,6)) MTAU=7 CALL PYKMAP(1,MTAU,RLU(0)) C...2 -> 3, 4 processes: C...Choose tau' according to h4(tau,tau')/tau', where C...h4(tau,tau') = c1 + I1/I2*c2*(1 - tau/tau')^3/tau' + C...I1/I3*c3*1/(1 - tau'), and c1 + c2 + c3 = 1. IF(ISTSB.GE.3.AND.ISTSB.LE.5) THEN CALL PYKLIM(4) IF(MINT(51).NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF RTAUP=RLU(0) MTAUP=1 IF(RTAUP.GT.COEF(ISUB,18)) MTAUP=2 IF(RTAUP.GT.COEF(ISUB,18)+COEF(ISUB,19)) MTAUP=3 CALL PYKMAP(4,MTAUP,RLU(0)) ENDIF C...Choose y* according to h2(y*), where C...h2(y*) = I0/I1*c1*(y*-y*min) + I0/I2*c2*(y*max-y*) + C...I0/I3*c3*1/cosh(y*) + I0/I4*c4*1/(1-exp(y*-y*max)) + C...I0/I5*c5*1/(1-exp(-y*-y*min)), I0 = y*max-y*min, C...and c1 + c2 + c3 + c4 + c5 = 1. CALL PYKLIM(2) IF(MINT(51).NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF RYST=RLU(0) MYST=1 IF(RYST.GT.COEF(ISUB,8)) MYST=2 IF(RYST.GT.COEF(ISUB,8)+COEF(ISUB,9)) MYST=3 IF(RYST.GT.COEF(ISUB,8)+COEF(ISUB,9)+COEF(ISUB,10)) MYST=4 IF(RYST.GT.COEF(ISUB,8)+COEF(ISUB,9)+COEF(ISUB,10)+ & COEF(ISUB,11)) MYST=5 CALL PYKMAP(2,MYST,RLU(0)) C...2 -> 2 processes: C...Choose cos(theta-hat) (cth) according to h3(cth), where C...h3(cth) = c0 + I0/I1*c1*1/(A - cth) + I0/I2*c2*1/(A + cth) + C...I0/I3*c3*1/(A - cth)^2 + I0/I4*c4*1/(A + cth)^2, C...A = 1 + 2*(m3*m4/sh)^2 (= 1 for massless products), C...and c0 + c1 + c2 + c3 + c4 = 1. CALL PYKLIM(3) IF(MINT(51).NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) THEN RCTH=RLU(0) MCTH=1 IF(RCTH.GT.COEF(ISUB,13)) MCTH=2 IF(RCTH.GT.COEF(ISUB,13)+COEF(ISUB,14)) MCTH=3 IF(RCTH.GT.COEF(ISUB,13)+COEF(ISUB,14)+COEF(ISUB,15)) MCTH=4 IF(RCTH.GT.COEF(ISUB,13)+COEF(ISUB,14)+COEF(ISUB,15)+ & COEF(ISUB,16)) MCTH=5 CALL PYKMAP(3,MCTH,RLU(0)) ENDIF C...2 -> 3 : select pT1, phi1, pT2, phi2, y3 for 3 outgoing. IF(ISTSB.EQ.5) THEN CALL PYKMAP(5,0,0.) IF(MINT(51).NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF ENDIF C...Low-pT or multiple interactions (first semihard interaction). ELSEIF(ISTSB.EQ.9) THEN CALL PYMULT(3) ISUB=MINT(1) C...Generate user-defined process: kinematics plus weight. ELSEIF(ISTSB.EQ.11) THEN MSTI(51)=0 CALL PYUPEV(ISUB,SIGS) IF(NUP.LE.0) THEN MINT(51)=2 MSTI(51)=1 IF(MINT(82).EQ.1) THEN NGEN(0,1)=NGEN(0,1)-1 NGEN(0,2)=NGEN(0,2)-1 NGEN(ISUB,1)=NGEN(ISUB,1)-1 ENDIF RETURN ENDIF C...Construct 'trivial' kinematical variables needed. KFL1=KUP(1,2) KFL2=KUP(2,2) VINT(41)=2.*PUP(1,4)/VINT(1) VINT(42)=2.*PUP(2,4)/VINT(1) VINT(21)=VINT(41)*VINT(42) VINT(22)=0.5*LOG(VINT(41)/VINT(42)) VINT(44)=VINT(21)*VINT(2) VINT(43)=SQRT(MAX(0.,VINT(44))) VINT(56)=Q2UP(0) VINT(55)=SQRT(MAX(0.,VINT(56))) C...Construct other kinematical variables needed (approximately). VINT(23)=0. VINT(26)=VINT(21) VINT(45)=-0.5*VINT(44) VINT(46)=-0.5*VINT(44) VINT(49)=VINT(43) VINT(50)=VINT(44) VINT(51)=VINT(55) VINT(52)=VINT(56) VINT(53)=VINT(55) VINT(54)=VINT(56) VINT(25)=0. VINT(48)=0. DO 230 IUP=3,NUP IF(KUP(IUP,1).EQ.1) VINT(25)=VINT(25)+2.*(PUP(IUP,5)**2+ & PUP(IUP,1)**2+PUP(IUP,2)**2)/VINT(1) IF(KUP(IUP,1).EQ.1) VINT(48)=VINT(48)+0.5*(PUP(IUP,1)**2+ & PUP(IUP,2)**2) 230 CONTINUE VINT(47)=SQRT(VINT(48)) C...Calculate structure function weights. IF(MINT(47).GE.2) THEN DO 250 I=3-MIN(2,MINT(45)),MIN(2,MINT(46)) IF(MSTP(57).NE.2) THEN CALL PYSTFU(MINT(10+I),VINT(40+I),Q2UP(0),XPQ) ELSE CALL PYSTFL(MINT(10+I),VINT(40+I),Q2UP(0),XPQ) ENDIF DO 240 KFL=-25,25 XSFX(I,KFL)=XPQ(KFL) 240 CONTINUE 250 CONTINUE ENDIF ENDIF C...Choose azimuthal angle. VINT(24)=PARU(2)*RLU(0) C...Check against user cuts on kinematics at parton level. MINT(51)=0 IF((ISUB.LE.90.OR.ISUB.GT.100).AND.ISTSB.LE.10) CALL PYKLIM(0) IF(MINT(51).NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF IF(MINT(82).EQ.1.AND.MSTP(141).GE.1.AND.ISTSB.LE.10) THEN MCUT=0 IF(MSUB(91)+MSUB(92)+MSUB(93)+MSUB(94)+MSUB(95).EQ.0) & CALL PYKCUT(MCUT) IF(MCUT.NE.0) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF ENDIF C...Calculate differential cross-section for different subprocesses. IF(ISTSB.LE.10) CALL PYSIGH(NCHN,SIGS) SIGSOR=SIGS C...Multiply cross-section by user-defined weights. IF(MSTP(173).EQ.1) THEN SIGS=PARP(173)*SIGS DO 260 ICHN=1,NCHN SIGH(ICHN)=PARP(173)*SIGH(ICHN) 260 CONTINUE ENDIF WTXS=1. SIGSWT=SIGS VINT(99)=1. VINT(100)=1. IF(MINT(82).EQ.1.AND.MSTP(142).GE.1) THEN IF(ISUB.NE.96.AND.MSUB(91)+MSUB(92)+MSUB(93)+MSUB(94)+ & MSUB(95).EQ.0) CALL PYEVWT(WTXS) SIGSWT=WTXS*SIGS VINT(99)=WTXS IF(MSTP(142).EQ.1) VINT(100)=1./WTXS ENDIF C...Calculations for Monte Carlo estimate of all cross-sections. IF(MINT(82).EQ.1.AND.ISUB.LE.90.OR.ISUB.GE.96) THEN IF(MSTP(142).LE.1) XSEC(ISUB,2)=XSEC(ISUB,2)+SIGS IF(MSTP(142).GE.2) XSEC(ISUB,2)=XSEC(ISUB,2)+SIGSWT ELSEIF(MINT(82).EQ.1) THEN XSEC(ISUB,2)=XSEC(ISUB,2)+SIGS ENDIF IF(ISUB.EQ.96.AND.LOOP.EQ.1.AND.MINT(82).EQ.1) &XSEC(97,2)=XSEC(97,2)+SIGT(0,0,5) C...Multiple interactions: store results of cross-section calculation. IF(MINT(50).EQ.1.AND.MSTP(82).GE.3) THEN VINT(153)=SIGSOR CALL PYMULT(4) ENDIF C...Check that weight not negative. VIOL=SIGSWT/XSEC(ISUB,1) IF(MSTP(123).LE.0) THEN IF(VIOL.LT.-1E-3) THEN WRITE(MSTU(11),5000) VIOL,NGEN(0,3)+1 WRITE(MSTU(11),5100) ISUB,VINT(21),VINT(22),VINT(23),VINT(26) STOP ENDIF ELSE IF(VIOL.LT.MIN(-1E-3,VINT(109))) THEN VINT(109)=VIOL WRITE(MSTU(11),5200) VIOL,NGEN(0,3)+1 WRITE(MSTU(11),5100) ISUB,VINT(21),VINT(22),VINT(23),VINT(26) ENDIF ENDIF C...Weighting using estimate of maximum of differential cross-section. IF(MFAIL.EQ.0) THEN IF(VIOL.LT.RLU(0)) GOTO 100 ELSEIF(ISUB.NE.96) THEN IF(VIOL.LT.RLU(0)) THEN MSTI(61)=1 RETURN ENDIF ELSE RATND=SIGT(0,0,5)/XSEC(95,1) IF(LOOP.EQ.1.AND.RATND.LT.RLU(0)) THEN MSTI(61)=1 RETURN ENDIF VIOL=VIOL/RATND IF(VIOL.LT.RLU(0)) GOTO 100 ENDIF C...Check for possible violation of estimated maximum of differential C...cross-section used in weighting. IF(MSTP(123).LE.0) THEN IF(VIOL.GT.1.) THEN WRITE(MSTU(11),5300) VIOL,NGEN(0,3)+1 WRITE(MSTU(11),5100) ISUB,VINT(21),VINT(22),VINT(23),VINT(26) STOP ENDIF ELSEIF(MSTP(123).EQ.1) THEN IF(VIOL.GT.VINT(108)) THEN VINT(108)=VIOL IF(VIOL.GT.1.) THEN MINT(10)=1 WRITE(MSTU(11),5400) VIOL,NGEN(0,3)+1 WRITE(MSTU(11),5100) ISUB,VINT(21),VINT(22),VINT(23), & VINT(26) ENDIF ENDIF ELSEIF(VIOL.GT.VINT(108)) THEN VINT(108)=VIOL IF(VIOL.GT.1.) THEN MINT(10)=1 XDIF=XSEC(ISUB,1)*(VIOL-1.) XSEC(ISUB,1)=XSEC(ISUB,1)+XDIF IF(MSUB(ISUB).EQ.1.AND.(ISUB.LE.90.OR.ISUB.GT.96)) & XSEC(0,1)=XSEC(0,1)+XDIF WRITE(MSTU(11),5400) VIOL,NGEN(0,3)+1 WRITE(MSTU(11),5100) ISUB,VINT(21),VINT(22),VINT(23),VINT(26) IF(ISUB.LE.9) THEN WRITE(MSTU(11),5500) ISUB,XSEC(ISUB,1) ELSEIF(ISUB.LE.99) THEN WRITE(MSTU(11),5600) ISUB,XSEC(ISUB,1) ELSE WRITE(MSTU(11),5700) ISUB,XSEC(ISUB,1) ENDIF VINT(108)=1. ENDIF ENDIF C...Multiple interactions: choose impact parameter. VINT(148)=1. IF(MINT(50).EQ.1.AND.(ISUB.LE.90.OR.ISUB.GE.96).AND.MSTP(82).GE.3) &THEN CALL PYMULT(5) IF(VINT(150).LT.RLU(0)) THEN IF(MFAIL.EQ.1) MSTI(61)=1 IF(MFAIL.EQ.1) RETURN GOTO 100 ENDIF ENDIF IF(MINT(82).EQ.1) NGEN(0,2)=NGEN(0,2)+1 IF(MINT(82).EQ.1.AND.MSUB(95).EQ.1) THEN IF(ISUB.LE.90.OR.ISUB.GE.95) NGEN(95,1)=NGEN(95,1)+1 IF(ISUB.LE.90.OR.ISUB.GE.96) NGEN(96,2)=NGEN(96,2)+1 ENDIF IF(ISUB.LE.90.OR.ISUB.GE.96) MINT(31)=MINT(31)+1 C...Choose flavour of reacting partons (and subprocess). IF(ISTSB.GE.11) GOTO 280 RSIGS=SIGS*RLU(0) QT2=VINT(48) RQQBAR=PARP(87)*(1.-(QT2/(QT2+(PARP(88)*PARP(82))**2))**2) IF(ISUB.NE.95.AND.(ISUB.NE.96.OR.MSTP(82).LE.1.OR. &RLU(0).GT.RQQBAR)) THEN DO 270 ICHN=1,NCHN KFL1=ISIG(ICHN,1) KFL2=ISIG(ICHN,2) MINT(2)=ISIG(ICHN,3) RSIGS=RSIGS-SIGH(ICHN) IF(RSIGS.LE.0.) GOTO 280 270 CONTINUE C...Multiple interactions: choose qq~ preferentially at small pT. ELSEIF(ISUB.EQ.96) THEN CALL PYSPLI(MINT(11),21,KFL1,KFLDUM) CALL PYSPLI(MINT(12),21,KFL2,KFLDUM) MINT(1)=11 MINT(2)=1 IF(KFL1.EQ.KFL2.AND.RLU(0).LT.0.5) MINT(2)=2 C...Low-pT: choose string drawing configuration. ELSE KFL1=21 KFL2=21 RSIGS=6.*RLU(0) MINT(2)=1 IF(RSIGS.GT.1.) MINT(2)=2 IF(RSIGS.GT.2.) MINT(2)=3 ENDIF C...Reassign QCD process. Partons before initial state radiation. 280 IF(MINT(2).GT.10) THEN MINT(1)=MINT(2)/10 MINT(2)=MOD(MINT(2),10) ENDIF IF(MINT(82).EQ.1.AND.MSTP(111).GE.0) NGEN(MINT(1),2)= &NGEN(MINT(1),2)+1 MINT(15)=KFL1 MINT(16)=KFL2 MINT(13)=MINT(15) MINT(14)=MINT(16) VINT(141)=VINT(41) VINT(142)=VINT(42) VINT(151)=0. VINT(152)=0. C...Calculate x value of photon for parton inside photon inside e. DO 310 JT=1,2 MINT(18+JT)=0 VINT(154+JT)=0. MSPLI=0 IF(JT.EQ.1.AND.MINT(43).LE.2) MSPLI=1 IF(JT.EQ.2.AND.MOD(MINT(43),2).EQ.1) MSPLI=1 IF(IABS(MINT(14+JT)).LE.8.OR.MINT(14+JT).EQ.21) MSPLI=MSPLI+1 IF(MSPLI.EQ.2) THEN KFLH=MINT(14+JT) XHRD=VINT(140+JT) Q2HRD=VINT(54) IF(MSTP(57).NE.2) THEN CALL PYSTFU(22,XHRD,Q2HRD,XPQ) ELSE CALL PYSTFL(22,XHRD,Q2HRD,XPQ) ENDIF WTMX=4.*XPQ(KFLH) IF(MSTP(13).EQ.2) THEN Q2PMS=Q2HRD/PMAS(11,1)**2 WTMAX=WTMAX*LOG(MAX(2.,Q2PMS*(1.-XHRD)/XHRD**2)) ENDIF 290 XE=XHRD**RLU(0) XG=MIN(0.999999,XHRD/XE) IF(MSTP(57).NE.2) THEN CALL PYSTFU(22,XG,Q2HRD,XPQ) ELSE CALL PYSTFL(22,XG,Q2HRD,XPQ) ENDIF WT=(1.+(1.-XE)**2)*XPQ(KFLH) IF(MSTP(13).EQ.2) WT=WT*LOG(MAX(2.,Q2PMS*(1.-XE)/XE**2)) IF(WT.LT.RLU(0)*WTMX) GOTO 290 MINT(18+JT)=1 VINT(154+JT)=XE DO 300 KFLS=-25,25 XSFX(JT,KFLS)=XPQ(KFLS) 300 CONTINUE ENDIF 310 CONTINUE C...Pick scale where photon is resolved. IF(MINT(107).EQ.1) VINT(282)=PARP(15)**2* &(VINT(54)/PARP(15)**2)**RLU(0) C...Format statements for differential cross-section maximum violations. 5000 FORMAT(1X,'Error: negative cross-section fraction',1P,E11.3,1X, &'in event',1X,I7,'.'/1X,'Execution stopped!') 5100 FORMAT(1X,'ISUB = ',I3,'; Point of violation:'/1X,'tau =',1P, &E11.3,', y* =',E11.3,', cthe = ',0P,F11.7,', tau'' =',1P,E11.3) 5200 FORMAT(1X,'Warning: negative cross-section fraction',1P,E11.3,1X, &'in event',1X,I7) 5300 FORMAT(1X,'Error: maximum violated by',1P,E11.3,1X, &'in event',1X,I7,'.'/1X,'Execution stopped!') 5400 FORMAT(1X,'Warning: maximum violated by',1P,E11.3,1X, &'in event',1X,I7) 5500 FORMAT(1X,'XSEC(',I1,',1) increased to',1P,E11.3) 5600 FORMAT(1X,'XSEC(',I2,',1) increased to',1P,E11.3) 5700 FORMAT(1X,'XSEC(',I3,',1) increased to',1P,E11.3) RETURN END C********************************************************************* SUBROUTINE PYSCAT C...Finds outgoing flavours and event type; sets up the kinematics C...and colour flow of the hard scattering. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYUPPR/NUP,KUP(20,7),PUP(20,5),NFUP,IFUP(10,2),Q2UP(0:10) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYUPPR/ DIMENSION WDTP(0:40),WDTE(0:40,0:5),PMQ(2),Z(2),CTHE(2),PHI(2), &KUPPO(20) C...Read out process. ISUB=MINT(1) ISUBSV=ISUB C...Convert H' or A process into equivalent H one. IHIGG=1 KFHIGG=25 IF((ISUB.GE.151.AND.ISUB.LE.160).OR.(ISUB.GE.171.AND. &ISUB.LE.190)) THEN IHIGG=2 IF(MOD(ISUB-1,10).GE.5) IHIGG=3 KFHIGG=33+IHIGG IF(ISUB.EQ.151.OR.ISUB.EQ.156) ISUB=3 IF(ISUB.EQ.152.OR.ISUB.EQ.157) ISUB=102 IF(ISUB.EQ.153.OR.ISUB.EQ.158) ISUB=103 IF(ISUB.EQ.171.OR.ISUB.EQ.176) ISUB=24 IF(ISUB.EQ.172.OR.ISUB.EQ.177) ISUB=26 IF(ISUB.EQ.173.OR.ISUB.EQ.178) ISUB=123 IF(ISUB.EQ.174.OR.ISUB.EQ.179) ISUB=124 IF(ISUB.EQ.181.OR.ISUB.EQ.186) ISUB=121 IF(ISUB.EQ.182.OR.ISUB.EQ.187) ISUB=122 ENDIF C...Choice of subprocess, number of documentation lines. IDOC=6+ISET(ISUB) IF(ISUB.EQ.95) IDOC=8 IF(ISET(ISUB).EQ.5.OR.ISET(ISUB).EQ.6) IDOC=9 IF(ISET(ISUB).EQ.11) IDOC=4+NUP MINT(3)=IDOC-6 IF(IDOC.GE.9.AND.ISET(ISUB).LE.4) IDOC=IDOC+2 MINT(4)=IDOC IPU1=MINT(84)+1 IPU2=MINT(84)+2 IPU3=MINT(84)+3 IPU4=MINT(84)+4 IPU5=MINT(84)+5 IPU6=MINT(84)+6 C...Reset K, P and V vectors. Store incoming particles. DO 110 JT=1,MSTP(126)+20 I=MINT(83)+JT DO 100 J=1,5 K(I,J)=0 P(I,J)=0. V(I,J)=0. 100 CONTINUE 110 CONTINUE DO 130 JT=1,2 I=MINT(83)+JT K(I,1)=21 K(I,2)=MINT(10+JT) DO 120 J=1,5 P(I,J)=VINT(285+5*JT+J) 120 CONTINUE 130 CONTINUE MINT(6)=2 KFRES=0 C...Store incoming partons in their CM-frame. SH=VINT(44) SHR=SQRT(SH) SHP=VINT(26)*VINT(2) SHPR=SQRT(SHP) SHUSER=SHR IF(ISET(ISUB).GE.3.AND.ISET(ISUB).LE.5) SHUSER=SHPR DO 140 JT=1,2 I=MINT(84)+JT K(I,1)=14 K(I,2)=MINT(14+JT) K(I,3)=MINT(83)+2+JT P(I,3)=0.5*SHUSER*(-1.)**(JT-1) P(I,4)=0.5*SHUSER 140 CONTINUE C...Copy incoming partons to documentation lines. DO 160 JT=1,2 I1=MINT(83)+4+JT I2=MINT(84)+JT K(I1,1)=21 K(I1,2)=K(I2,2) K(I1,3)=I1-2 DO 150 J=1,5 P(I1,J)=P(I2,J) 150 CONTINUE 160 CONTINUE C...Choose new quark/lepton flavour for relevant annihilation graphs. IF(ISUB.EQ.12.OR.ISUB.EQ.53.OR.ISUB.EQ.54.OR.ISUB.EQ.58) THEN IGLGA=21 IF(ISUB.EQ.58) IGLGA=22 CALL PYWIDT(IGLGA,SH,WDTP,WDTE) 170 RKFL=(WDTE(0,1)+WDTE(0,2)+WDTE(0,4))*RLU(0) DO 180 I=1,MDCY(IGLGA,3) KFLF=KFDP(I+MDCY(IGLGA,2)-1,1) RKFL=RKFL-(WDTE(I,1)+WDTE(I,2)+WDTE(I,4)) IF(RKFL.LE.0.) GOTO 190 180 CONTINUE 190 CONTINUE IF(ISUB.EQ.12.AND.MSTP(5).EQ.1.AND.IABS(MINT(15)).LE.2.AND. & IABS(KFLF).GE.3) THEN FACQQB=VINT(58)**2*4./9.*(VINT(45)**2+VINT(46)**2)/ & VINT(44)**2 FACCIB=VINT(46)**2/PARU(155)**4 IF(FACQQB/(FACQQB+FACCIB).LT.RLU(0)) GOTO 170 ELSEIF(ISUB.EQ.54) THEN IF((KCHG(IABS(KFLF),1)/2.)**2.LT.RLU(0)) GOTO 170 ELSEIF(ISUB.EQ.58) THEN IF((KCHG(IABS(KFLF),1)/3.)**2.LT.RLU(0)) GOTO 170 ENDIF ENDIF C...Final state flavours and colour flow: default values. JS=1 MINT(21)=MINT(15) MINT(22)=MINT(16) MINT(23)=0 MINT(24)=0 KCC=20 KCS=ISIGN(1,MINT(15)) IF(ISET(ISUB).EQ.11) THEN C...User-defined processes: find products. IRUP=0 DO 200 IUP=3,NUP IF(KUP(IUP,1).NE.1) THEN ELSEIF(IRUP.LE.5) THEN IRUP=IRUP+1 MINT(20+IRUP)=KUP(IUP,2) ENDIF 200 CONTINUE ELSEIF(ISUB.LE.10) THEN IF(ISUB.EQ.1) THEN C...f + f~ -> gamma*/Z0. KFRES=23 ELSEIF(ISUB.EQ.2) THEN C...f + f~' -> W+/- . KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) KFRES=ISIGN(24,KCH1+KCH2) ELSEIF(ISUB.EQ.3) THEN C...f + f~ -> H0 (or H'0, or A0). KFRES=KFHIGG ELSEIF(ISUB.EQ.4) THEN C...gamma + W+/- -> W+/-. ELSEIF(ISUB.EQ.5) THEN C...Z0 + Z0 -> H0. XH=SH/SHP MINT(21)=MINT(15) MINT(22)=MINT(16) PMQ(1)=ULMASS(MINT(21)) PMQ(2)=ULMASS(MINT(22)) 210 JT=INT(1.5+RLU(0)) ZMIN=2.*PMQ(JT)/SHPR ZMAX=1.-PMQ(3-JT)/SHPR-(SH-PMQ(JT)**2)/(SHPR*(SHPR-PMQ(3-JT))) ZMAX=MIN(1.-XH,ZMAX) Z(JT)=ZMIN+(ZMAX-ZMIN)*RLU(0) IF(-1.+(1.+XH)/(1.-Z(JT))-XH/(1.-Z(JT))**2.LT. & (1.-XH)**2/(4.*XH)*RLU(0)) GOTO 210 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 210 C1=SQRT(SQC1) C2=1.+2.*(PMAS(23,1)**2-PMQ(JT)**2)/(Z(JT)*SHP) CTHE(JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(JT)=MIN(1.,MAX(-1.,CTHE(JT))) Z(3-JT)=1.-XH/(1.-Z(JT)) SQC1=1.-4.*PMQ(3-JT)**2/(Z(3-JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 210 C1=SQRT(SQC1) C2=1.+2.*(PMAS(23,1)**2-PMQ(3-JT)**2)/(Z(3-JT)*SHP) CTHE(3-JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(3-JT)=MIN(1.,MAX(-1.,CTHE(3-JT))) PHIR=PARU(2)*RLU(0) CPHI=COS(PHIR) ANG=CTHE(1)*CTHE(2)-SQRT(1.-CTHE(1)**2)*SQRT(1.-CTHE(2)**2)*CPHI Z1=2.-Z(JT) Z2=ANG*SQRT(Z(JT)**2-4.*PMQ(JT)**2/SHP) Z3=1.-Z(JT)-XH+(PMQ(1)**2+PMQ(2)**2)/SHP Z(3-JT)=2./(Z1**2-Z2**2)*(Z1*Z3+Z2*SQRT(Z3**2-(Z1**2-Z2**2)* & PMQ(3-JT)**2/SHP)) ZMIN=2.*PMQ(3-JT)/SHPR ZMAX=1.-PMQ(JT)/SHPR-(SH-PMQ(3-JT)**2)/(SHPR*(SHPR-PMQ(JT))) ZMAX=MIN(1.-XH,ZMAX) IF(Z(3-JT).LT.ZMIN.OR.Z(3-JT).GT.ZMAX) GOTO 210 KCC=22 KFRES=25 ELSEIF(ISUB.EQ.6) THEN C...Z0 + W+/- -> W+/-. ELSEIF(ISUB.EQ.7) THEN C...W+ + W- -> Z0. ELSEIF(ISUB.EQ.8) THEN C...W+ + W- -> H0. XH=SH/SHP 220 DO 250 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 230 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 230 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 240 230 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 240 PMQ(JT)=ULMASS(MINT(20+JT)) 250 CONTINUE JT=INT(1.5+RLU(0)) ZMIN=2.*PMQ(JT)/SHPR ZMAX=1.-PMQ(3-JT)/SHPR-(SH-PMQ(JT)**2)/(SHPR*(SHPR-PMQ(3-JT))) ZMAX=MIN(1.-XH,ZMAX) IF(ZMIN.GE.ZMAX) GOTO 220 Z(JT)=ZMIN+(ZMAX-ZMIN)*RLU(0) IF(-1.+(1.+XH)/(1.-Z(JT))-XH/(1.-Z(JT))**2.LT. & (1.-XH)**2/(4.*XH)*RLU(0)) GOTO 220 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 220 C1=SQRT(SQC1) C2=1.+2.*(PMAS(24,1)**2-PMQ(JT)**2)/(Z(JT)*SHP) CTHE(JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(JT)=MIN(1.,MAX(-1.,CTHE(JT))) Z(3-JT)=1.-XH/(1.-Z(JT)) SQC1=1.-4.*PMQ(3-JT)**2/(Z(3-JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 220 C1=SQRT(SQC1) C2=1.+2.*(PMAS(24,1)**2-PMQ(3-JT)**2)/(Z(3-JT)*SHP) CTHE(3-JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(3-JT)=MIN(1.,MAX(-1.,CTHE(3-JT))) PHIR=PARU(2)*RLU(0) CPHI=COS(PHIR) ANG=CTHE(1)*CTHE(2)-SQRT(1.-CTHE(1)**2)*SQRT(1.-CTHE(2)**2)*CPHI Z1=2.-Z(JT) Z2=ANG*SQRT(Z(JT)**2-4.*PMQ(JT)**2/SHP) Z3=1.-Z(JT)-XH+(PMQ(1)**2+PMQ(2)**2)/SHP Z(3-JT)=2./(Z1**2-Z2**2)*(Z1*Z3+Z2*SQRT(Z3**2-(Z1**2-Z2**2)* & PMQ(3-JT)**2/SHP)) ZMIN=2.*PMQ(3-JT)/SHPR ZMAX=1.-PMQ(JT)/SHPR-(SH-PMQ(3-JT)**2)/(SHPR*(SHPR-PMQ(JT))) ZMAX=MIN(1.-XH,ZMAX) IF(Z(3-JT).LT.ZMIN.OR.Z(3-JT).GT.ZMAX) GOTO 220 KCC=22 KFRES=25 ELSEIF(ISUB.EQ.10) THEN C...f + f' -> f + f' (gamma/Z/W exchange); th = (p(f)-p(f))**2. IF(MINT(2).EQ.1) THEN KCC=22 ELSE C...W exchange: need to mix flavours according to CKM matrix. DO 270 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 260 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 260 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 270 260 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 270 CONTINUE KCC=22 ENDIF ENDIF ELSEIF(ISUB.LE.20) THEN IF(ISUB.EQ.11) THEN C...f + f' -> f + f' (g exchange); th = (p(f)-p(f))**2. KCC=MINT(2) IF(MINT(15)*MINT(16).LT.0) KCC=KCC+2 ELSEIF(ISUB.EQ.12) THEN C...f + f~ -> f' + f~'; th = (p(f)-p(f'))**2. MINT(21)=ISIGN(KFLF,MINT(15)) MINT(22)=-MINT(21) KCC=4 ELSEIF(ISUB.EQ.13) THEN C...f + f~ -> g + g; th arbitrary. MINT(21)=21 MINT(22)=21 KCC=MINT(2)+4 ELSEIF(ISUB.EQ.14) THEN C...f + f~ -> g + gamma; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=21 MINT(23-JS)=22 KCC=17+JS ELSEIF(ISUB.EQ.15) THEN C...f + f~ -> g + Z0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=21 MINT(23-JS)=23 KCC=17+JS ELSEIF(ISUB.EQ.16) THEN C...f + f~' -> g + W+/-; th = (p(f)-p(W-))**2 or (p(f~')-p(W+))**2. KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) IF(MINT(15)*(KCH1+KCH2).LT.0) JS=2 MINT(20+JS)=21 MINT(23-JS)=ISIGN(24,KCH1+KCH2) KCC=17+JS ELSEIF(ISUB.EQ.17) THEN C...f + f~ -> g + H0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=21 MINT(23-JS)=25 KCC=17+JS ELSEIF(ISUB.EQ.18) THEN C...f + f~ -> gamma + gamma; th arbitrary. MINT(21)=22 MINT(22)=22 ELSEIF(ISUB.EQ.19) THEN C...f + f~ -> gamma + Z0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=22 MINT(23-JS)=23 ELSEIF(ISUB.EQ.20) THEN C...f + f~' -> gamma + W+/-; th = (p(f)-p(W-))**2 or (p(f~')-p(W+))**2. KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) IF(MINT(15)*(KCH1+KCH2).LT.0) JS=2 MINT(20+JS)=22 MINT(23-JS)=ISIGN(24,KCH1+KCH2) ENDIF ELSEIF(ISUB.LE.30) THEN IF(ISUB.EQ.21) THEN C...f + f~ -> gamma + H0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=22 MINT(23-JS)=25 ELSEIF(ISUB.EQ.22) THEN C...f + f~ -> Z0 + Z0; th arbitrary. MINT(21)=23 MINT(22)=23 ELSEIF(ISUB.EQ.23) THEN C...f + f~' -> Z0 + W+/-; th = (p(f)-p(W-))**2 or (p(f~')-p(W+))**2. KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) IF(MINT(15)*(KCH1+KCH2).LT.0) JS=2 MINT(20+JS)=23 MINT(23-JS)=ISIGN(24,KCH1+KCH2) ELSEIF(ISUB.EQ.24) THEN C...f + f~ -> Z0 + H0 (or H'0, or A0); th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=23 MINT(23-JS)=KFHIGG ELSEIF(ISUB.EQ.25) THEN C...f + f~ -> W+ + W-; th = (p(f)-p(W-))**2. MINT(21)=-ISIGN(24,MINT(15)) MINT(22)=-MINT(21) ELSEIF(ISUB.EQ.26) THEN C...f + f~' -> W+/- + H0 (or H'0, or A0); C...th = (p(f)-p(W-))**2 or (p(f~')-p(W+))**2. KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) IF(MINT(15)*(KCH1+KCH2).GT.0) JS=2 MINT(20+JS)=ISIGN(24,KCH1+KCH2) MINT(23-JS)=KFHIGG ELSEIF(ISUB.EQ.27) THEN C...f + f~ -> H0 + H0. ELSEIF(ISUB.EQ.28) THEN C...f + g -> f + g; th = (p(f)-p(f))**2. KCC=MINT(2)+6 IF(MINT(15).EQ.21) KCC=KCC+2 IF(MINT(15).NE.21) KCS=ISIGN(1,MINT(15)) IF(MINT(16).NE.21) KCS=ISIGN(1,MINT(16)) ELSEIF(ISUB.EQ.29) THEN C...f + g -> f + gamma; th = (p(f)-p(f))**2. IF(MINT(15).EQ.21) JS=2 MINT(23-JS)=22 KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.30) THEN C...f + g -> f + Z0; th = (p(f)-p(f))**2. IF(MINT(15).EQ.21) JS=2 MINT(23-JS)=23 KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ENDIF ELSEIF(ISUB.LE.40) THEN IF(ISUB.EQ.31) THEN C...f + g -> f' + W+/-; th = (p(f)-p(f'))**2; choose flavour f'. IF(MINT(15).EQ.21) JS=2 I=MINT(14+JS) IA=IABS(I) MINT(23-JS)=ISIGN(24,KCHG(IA,1)*I) RVCKM=VINT(180+I)*RLU(0) DO 280 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 280 MINT(20+JS)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 290 280 CONTINUE 290 KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.32) THEN C...f + g -> f + H0; th = (p(f)-p(f))**2. IF(MINT(15).EQ.21) JS=2 MINT(23-JS)=25 KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.33) THEN C...f + gamma -> f + g; th=(p(f)-p(f))**2. IF(MINT(15).EQ.22) JS=2 MINT(23-JS)=21 KCC=24+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.34) THEN C...f + gamma -> f + gamma; th=(p(f)-p(f))**2. IF(MINT(15).EQ.22) JS=2 KCC=22 KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.35) THEN C...f + gamma -> f + Z0; th=(p(f)-p(f))**2. IF(MINT(15).EQ.22) JS=2 MINT(23-JS)=23 KCC=22 ELSEIF(ISUB.EQ.36) THEN C...f + gamma -> f' + W+/-; th=(p(f)-p(f'))**2. IF(MINT(15).EQ.22) JS=2 I=MINT(14+JS) IA=IABS(I) MINT(23-JS)=ISIGN(24,KCHG(IA,1)*I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 300 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 300 MINT(20+JS)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 310 300 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JS)=ISIGN(IB,I) ENDIF 310 KCC=22 ELSEIF(ISUB.EQ.37) THEN C...f + gamma -> f + H0. ELSEIF(ISUB.EQ.38) THEN C...f + Z0 -> f + g. ELSEIF(ISUB.EQ.39) THEN C...f + Z0 -> f + gamma. ELSEIF(ISUB.EQ.40) THEN C...f + Z0 -> f + Z0. ENDIF ELSEIF(ISUB.LE.50) THEN IF(ISUB.EQ.41) THEN C...f + Z0 -> f' + W+/-. ELSEIF(ISUB.EQ.42) THEN C...f + Z0 -> f + H0. ELSEIF(ISUB.EQ.43) THEN C...f + W+/- -> f' + g. ELSEIF(ISUB.EQ.44) THEN C...f + W+/- -> f' + gamma. ELSEIF(ISUB.EQ.45) THEN C...f + W+/- -> f' + Z0. ELSEIF(ISUB.EQ.46) THEN C...f + W+/- -> f' + W+/-. ELSEIF(ISUB.EQ.47) THEN C...f + W+/- -> f' + H0. ELSEIF(ISUB.EQ.48) THEN C...f + H0 -> f + g. ELSEIF(ISUB.EQ.49) THEN C...f + H0 -> f + gamma. ELSEIF(ISUB.EQ.50) THEN C...f + H0 -> f + Z0. ENDIF ELSEIF(ISUB.LE.60) THEN IF(ISUB.EQ.51) THEN C...f + H0 -> f' + W+/-. ELSEIF(ISUB.EQ.52) THEN C...f + H0 -> f + H0. ELSEIF(ISUB.EQ.53) THEN C...g + g -> f + f~; th arbitrary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(KFLF,KCS) MINT(22)=-MINT(21) KCC=MINT(2)+10 ELSEIF(ISUB.EQ.54) THEN C...g + gamma -> f + f~; th arbitrary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(KFLF,KCS) MINT(22)=-MINT(21) KCC=27 IF(MINT(16).EQ.21) KCC=28 ELSEIF(ISUB.EQ.55) THEN C...g + Z0 -> f + f~. ELSEIF(ISUB.EQ.56) THEN C...g + W+/- -> f + f~'. ELSEIF(ISUB.EQ.57) THEN C...g + H0 -> f + f~. ELSEIF(ISUB.EQ.58) THEN C...gamma + gamma -> f + f~; th arbitrary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(KFLF,KCS) MINT(22)=-MINT(21) KCC=21 ELSEIF(ISUB.EQ.59) THEN C...gamma + Z0 -> f + f~. ELSEIF(ISUB.EQ.60) THEN C...gamma + W+/- -> f + f~'. ENDIF ELSEIF(ISUB.LE.70) THEN IF(ISUB.EQ.61) THEN C...gamma + H0 -> f + f~. ELSEIF(ISUB.EQ.62) THEN C...Z0 + Z0 -> f + f~. ELSEIF(ISUB.EQ.63) THEN C...Z0 + W+/- -> f + f~'. ELSEIF(ISUB.EQ.64) THEN C...Z0 + H0 -> f + f~. ELSEIF(ISUB.EQ.65) THEN C...W+ + W- -> f + f~. ELSEIF(ISUB.EQ.66) THEN C...W+/- + H0 -> f + f~'. ELSEIF(ISUB.EQ.67) THEN C...H0 + H0 -> f + f~. ELSEIF(ISUB.EQ.68) THEN C...g + g -> g + g; th arbitrary. KCC=MINT(2)+12 KCS=(-1)**INT(1.5+RLU(0)) ELSEIF(ISUB.EQ.69) THEN C...gamma + gamma -> W+ + W-; th arbitrary. MINT(21)=24 MINT(22)=-24 KCC=21 ELSEIF(ISUB.EQ.70) THEN C...gamma + W+/- -> Z0 + W+/-; th=(p(W)-p(W))**2. IF(MINT(15).EQ.22) MINT(21)=23 IF(MINT(16).EQ.22) MINT(22)=23 KCC=21 ENDIF ELSEIF(ISUB.LE.80) THEN IF(ISUB.EQ.71.OR.ISUB.EQ.72) THEN C...Z0 + Z0 -> Z0 + Z0; Z0 + Z0 -> W+ + W-. XH=SH/SHP MINT(21)=MINT(15) MINT(22)=MINT(16) PMQ(1)=ULMASS(MINT(21)) PMQ(2)=ULMASS(MINT(22)) 320 JT=INT(1.5+RLU(0)) ZMIN=2.*PMQ(JT)/SHPR ZMAX=1.-PMQ(3-JT)/SHPR-(SH-PMQ(JT)**2)/(SHPR*(SHPR-PMQ(3-JT))) ZMAX=MIN(1.-XH,ZMAX) Z(JT)=ZMIN+(ZMAX-ZMIN)*RLU(0) IF(-1.+(1.+XH)/(1.-Z(JT))-XH/(1.-Z(JT))**2.LT. & (1.-XH)**2/(4.*XH)*RLU(0)) GOTO 320 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 320 C1=SQRT(SQC1) C2=1.+2.*(PMAS(23,1)**2-PMQ(JT)**2)/(Z(JT)*SHP) CTHE(JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(JT)=MIN(1.,MAX(-1.,CTHE(JT))) Z(3-JT)=1.-XH/(1.-Z(JT)) SQC1=1.-4.*PMQ(3-JT)**2/(Z(3-JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 320 C1=SQRT(SQC1) C2=1.+2.*(PMAS(23,1)**2-PMQ(3-JT)**2)/(Z(3-JT)*SHP) CTHE(3-JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(3-JT)=MIN(1.,MAX(-1.,CTHE(3-JT))) PHIR=PARU(2)*RLU(0) CPHI=COS(PHIR) ANG=CTHE(1)*CTHE(2)-SQRT(1.-CTHE(1)**2)*SQRT(1.-CTHE(2)**2)*CPHI Z1=2.-Z(JT) Z2=ANG*SQRT(Z(JT)**2-4.*PMQ(JT)**2/SHP) Z3=1.-Z(JT)-XH+(PMQ(1)**2+PMQ(2)**2)/SHP Z(3-JT)=2./(Z1**2-Z2**2)*(Z1*Z3+Z2*SQRT(Z3**2-(Z1**2-Z2**2)* & PMQ(3-JT)**2/SHP)) ZMIN=2.*PMQ(3-JT)/SHPR ZMAX=1.-PMQ(JT)/SHPR-(SH-PMQ(3-JT)**2)/(SHPR*(SHPR-PMQ(JT))) ZMAX=MIN(1.-XH,ZMAX) IF(Z(3-JT).LT.ZMIN.OR.Z(3-JT).GT.ZMAX) GOTO 320 KCC=22 ELSEIF(ISUB.EQ.73) THEN C...Z0 + W+/- -> Z0 + W+/-. JS=MINT(2) XH=SH/SHP 330 JT=3-MINT(2) I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 340 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 340 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 350 340 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 350 PMQ(JT)=ULMASS(MINT(20+JT)) MINT(23-JT)=MINT(17-JT) PMQ(3-JT)=ULMASS(MINT(23-JT)) JT=INT(1.5+RLU(0)) ZMIN=2.*PMQ(JT)/SHPR ZMAX=1.-PMQ(3-JT)/SHPR-(SH-PMQ(JT)**2)/(SHPR*(SHPR-PMQ(3-JT))) ZMAX=MIN(1.-XH,ZMAX) IF(ZMIN.GE.ZMAX) GOTO 330 Z(JT)=ZMIN+(ZMAX-ZMIN)*RLU(0) IF(-1.+(1.+XH)/(1.-Z(JT))-XH/(1.-Z(JT))**2.LT. & (1.-XH)**2/(4.*XH)*RLU(0)) GOTO 330 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 330 C1=SQRT(SQC1) C2=1.+2.*(PMAS(23,1)**2-PMQ(JT)**2)/(Z(JT)*SHP) CTHE(JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(JT)=MIN(1.,MAX(-1.,CTHE(JT))) Z(3-JT)=1.-XH/(1.-Z(JT)) SQC1=1.-4.*PMQ(3-JT)**2/(Z(3-JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 330 C1=SQRT(SQC1) C2=1.+2.*(PMAS(23,1)**2-PMQ(3-JT)**2)/(Z(3-JT)*SHP) CTHE(3-JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(3-JT)=MIN(1.,MAX(-1.,CTHE(3-JT))) PHIR=PARU(2)*RLU(0) CPHI=COS(PHIR) ANG=CTHE(1)*CTHE(2)-SQRT(1.-CTHE(1)**2)*SQRT(1.-CTHE(2)**2)*CPHI Z1=2.-Z(JT) Z2=ANG*SQRT(Z(JT)**2-4.*PMQ(JT)**2/SHP) Z3=1.-Z(JT)-XH+(PMQ(1)**2+PMQ(2)**2)/SHP Z(3-JT)=2./(Z1**2-Z2**2)*(Z1*Z3+Z2*SQRT(Z3**2-(Z1**2-Z2**2)* & PMQ(3-JT)**2/SHP)) ZMIN=2.*PMQ(3-JT)/SHPR ZMAX=1.-PMQ(JT)/SHPR-(SH-PMQ(3-JT)**2)/(SHPR*(SHPR-PMQ(JT))) ZMAX=MIN(1.-XH,ZMAX) IF(Z(3-JT).LT.ZMIN.OR.Z(3-JT).GT.ZMAX) GOTO 330 KCC=22 ELSEIF(ISUB.EQ.74) THEN C...Z0 + H0 -> Z0 + H0. ELSEIF(ISUB.EQ.75) THEN C...W+ + W- -> gamma + gamma. ELSEIF(ISUB.EQ.76.OR.ISUB.EQ.77) THEN C...W+ + W- -> Z0 + Z0; W+ + W- -> W+ + W-. XH=SH/SHP 360 DO 390 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 370 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 370 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 380 370 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 380 PMQ(JT)=ULMASS(MINT(20+JT)) 390 CONTINUE JT=INT(1.5+RLU(0)) ZMIN=2.*PMQ(JT)/SHPR ZMAX=1.-PMQ(3-JT)/SHPR-(SH-PMQ(JT)**2)/(SHPR*(SHPR-PMQ(3-JT))) ZMAX=MIN(1.-XH,ZMAX) IF(ZMIN.GE.ZMAX) GOTO 360 Z(JT)=ZMIN+(ZMAX-ZMIN)*RLU(0) IF(-1.+(1.+XH)/(1.-Z(JT))-XH/(1.-Z(JT))**2.LT. & (1.-XH)**2/(4.*XH)*RLU(0)) GOTO 360 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 360 C1=SQRT(SQC1) C2=1.+2.*(PMAS(24,1)**2-PMQ(JT)**2)/(Z(JT)*SHP) CTHE(JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(JT)=MIN(1.,MAX(-1.,CTHE(JT))) Z(3-JT)=1.-XH/(1.-Z(JT)) SQC1=1.-4.*PMQ(3-JT)**2/(Z(3-JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 360 C1=SQRT(SQC1) C2=1.+2.*(PMAS(24,1)**2-PMQ(3-JT)**2)/(Z(3-JT)*SHP) CTHE(3-JT)=(C2-(C2**2-C1**2)/(C2+(2.*RLU(0)-1.)*C1))/C1 CTHE(3-JT)=MIN(1.,MAX(-1.,CTHE(3-JT))) PHIR=PARU(2)*RLU(0) CPHI=COS(PHIR) ANG=CTHE(1)*CTHE(2)-SQRT(1.-CTHE(1)**2)*SQRT(1.-CTHE(2)**2)*CPHI Z1=2.-Z(JT) Z2=ANG*SQRT(Z(JT)**2-4.*PMQ(JT)**2/SHP) Z3=1.-Z(JT)-XH+(PMQ(1)**2+PMQ(2)**2)/SHP Z(3-JT)=2./(Z1**2-Z2**2)*(Z1*Z3+Z2*SQRT(Z3**2-(Z1**2-Z2**2)* & PMQ(3-JT)**2/SHP)) ZMIN=2.*PMQ(3-JT)/SHPR ZMAX=1.-PMQ(JT)/SHPR-(SH-PMQ(3-JT)**2)/(SHPR*(SHPR-PMQ(JT))) ZMAX=MIN(1.-XH,ZMAX) IF(Z(3-JT).LT.ZMIN.OR.Z(3-JT).GT.ZMAX) GOTO 360 KCC=22 ELSEIF(ISUB.EQ.78) THEN C...W+/- + H0 -> W+/- + H0. ELSEIF(ISUB.EQ.79) THEN C...H0 + H0 -> H0 + H0. ELSEIF(ISUB.EQ.80) THEN C...q + gamma -> q' + pi+/-; th=(p(q)-p(q'))**2. IF(MINT(15).EQ.22) JS=2 I=MINT(14+JS) IA=IABS(I) MINT(23-JS)=ISIGN(211,KCHG(IA,1)*I) IB=3-IA MINT(20+JS)=ISIGN(IB,I) KCC=22 ENDIF ELSEIF(ISUB.LE.90) THEN IF(ISUB.EQ.81) THEN C...q + q~ -> Q + Q~; th = (p(q)-p(Q))**2. MINT(21)=ISIGN(MINT(55),MINT(15)) MINT(22)=-MINT(21) KCC=4 ELSEIF(ISUB.EQ.82) THEN C...g + g -> Q + Q~; th arbitrary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(MINT(55),KCS) MINT(22)=-MINT(21) KCC=MINT(2)+10 ELSEIF(ISUB.EQ.83) THEN C...f + q -> f' + Q; th = (p(f) - p(f'))**2. KFOLD=MINT(16) IF(MINT(2).EQ.2) KFOLD=MINT(15) KFAOLD=IABS(KFOLD) IF(KFAOLD.GT.10) THEN KFANEW=KFAOLD+2*MOD(KFAOLD,2)-1 ELSE RCKM=VINT(180+KFOLD)*RLU(0) IPM=(5-ISIGN(1,KFOLD))/2 KFANEW=-MOD(KFAOLD+1,2) 400 KFANEW=KFANEW+2 IDC=MDCY(KFAOLD,2)+(KFANEW+1)/2+2 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.IPM) THEN IF(MOD(KFAOLD,2).EQ.0) RCKM=RCKM-VCKM(KFAOLD/2,(KFANEW+1)/2) IF(MOD(KFAOLD,2).EQ.1) RCKM=RCKM-VCKM(KFANEW/2,(KFAOLD+1)/2) ENDIF IF(KFANEW.LE.6.AND.RCKM.GT.0.) GOTO 400 ENDIF IF(MINT(2).EQ.1) THEN MINT(21)=ISIGN(MINT(55),MINT(15)) MINT(22)=ISIGN(KFANEW,MINT(16)) ELSE MINT(21)=ISIGN(KFANEW,MINT(15)) MINT(22)=ISIGN(MINT(55),MINT(16)) ENDIF KCC=22 ELSEIF(ISUB.EQ.84) THEN C...g + gamma -> Q + Q~; th arbitary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(MINT(55),KCS) MINT(22)=-MINT(21) KCC=27 IF(MINT(16).EQ.21) KCC=28 ELSEIF(ISUB.EQ.85) THEN C...gamma + gamma -> F + F~; th arbitary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(MINT(56),KCS) MINT(22)=-MINT(21) KCC=21 ELSEIF(ISUB.GE.86.AND.ISUB.LE.89) THEN C...g + g -> (J/Psi, chi_0c, chi_1c or chi_2c) + g MINT(21)=KFPR(ISUB,1) MINT(22)=KFPR(ISUB,2) KCC=24 KCS=(-1)**INT(1.5+RLU(0)) ENDIF ELSEIF(ISUB.LE.100) THEN IF(ISUB.EQ.95) THEN C...Low-pT ( = energyless g + g -> g + g). KCC=MINT(2)+12 KCS=(-1)**INT(1.5+RLU(0)) ELSEIF(ISUB.EQ.96) THEN C...Multiple interactions (should be reassigned to QCD process). ENDIF ELSEIF(ISUB.LE.110) THEN IF(ISUB.EQ.101) THEN C...g + g -> gamma*/Z0. KCC=21 KFRES=22 ELSEIF(ISUB.EQ.102) THEN C...g + g -> H0 (or H'0, or A0). KCC=21 KFRES=KFHIGG ELSEIF(ISUB.EQ.103) THEN C...gamma + gamma -> H0 (or H'0, or A0). KCC=21 KFRES=KFHIGG ELSEIF(ISUB.EQ.110) THEN C...f + f~ -> gamma + H0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=22 MINT(23-JS)=KFHIGG ENDIF ELSEIF(ISUB.LE.120) THEN IF(ISUB.EQ.111) THEN C...f + f~ -> g + H0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(20+JS)=21 MINT(23-JS)=25 KCC=17+JS ELSEIF(ISUB.EQ.112) THEN C...f + g -> f + H0; th = (p(f) - p(f))**2. IF(MINT(15).EQ.21) JS=2 MINT(23-JS)=25 KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.113) THEN C...g + g -> g + H0; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(23-JS)=25 KCC=22+JS KCS=(-1)**INT(1.5+RLU(0)) ELSEIF(ISUB.EQ.114) THEN C...g + g -> gamma + gamma; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(21)=22 MINT(22)=22 KCC=21 ELSEIF(ISUB.EQ.115) THEN C...g + g -> g + gamma; th arbitrary. IF(RLU(0).GT.0.5) JS=2 MINT(23-JS)=22 KCC=22+JS KCS=(-1)**INT(1.5+RLU(0)) ELSEIF(ISUB.EQ.116) THEN C...g + g -> gamma + Z0. ELSEIF(ISUB.EQ.117) THEN C...g + g -> Z0 + Z0. ELSEIF(ISUB.EQ.118) THEN C...g + g -> W+ + W-. ENDIF ELSEIF(ISUB.LE.140) THEN IF(ISUB.EQ.121) THEN C...g + g -> Q + Q~ + H0. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(KFPR(ISUBSV,2),KCS) MINT(22)=-MINT(21) KCC=11+INT(0.5+RLU(0)) KFRES=KFHIGG ELSEIF(ISUB.EQ.122) THEN C...q + q~ -> Q + Q~ + H0. MINT(21)=ISIGN(KFPR(ISUBSV,2),MINT(15)) MINT(22)=-MINT(21) KCC=4 KFRES=KFHIGG ELSEIF(ISUB.EQ.123) THEN C...f + f' -> f + f' + H0 (or H'0, or A0) (Z0 + Z0 -> H0 as C...inner process). KCC=22 KFRES=KFHIGG ELSEIF(ISUB.EQ.124) THEN C...f + f' -> f" + f"' + H0 (or H'0, or A) (W+ + W- -> H0 as C...inner process). DO 420 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 410 J=1,MSTP(1) IB=2*J-1+MOD(IA,2) IPM=(5-ISIGN(1,I))/2 IDC=J+MDCY(IA,2)+2 IF(MDME(IDC,1).NE.1.AND.MDME(IDC,1).NE.IPM) GOTO 410 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 420 410 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 420 CONTINUE KCC=22 KFRES=KFHIGG ELSEIF(ISUB.EQ.131) THEN C...g + g -> Z0 + q + q~. MINT(21)=KFPR(131,1) MINT(22)=KFPR(131,2) MINT(23)=-MINT(22) KCC=MINT(2)+10 KCS=1 ENDIF ELSEIF(ISUB.LE.160) THEN IF(ISUB.EQ.141) THEN C...f + f~ -> gamma*/Z0/Z'0. KFRES=32 ELSEIF(ISUB.EQ.142) THEN C...f + f~' -> W'+/- . KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) KFRES=ISIGN(34,KCH1+KCH2) ELSEIF(ISUB.EQ.143) THEN C...f + f~' -> H+/-. KCH1=KCHG(IABS(MINT(15)),1)*ISIGN(1,MINT(15)) KCH2=KCHG(IABS(MINT(16)),1)*ISIGN(1,MINT(16)) KFRES=ISIGN(37,KCH1+KCH2) ELSEIF(ISUB.EQ.144) THEN C...f + f~' -> R. KFRES=ISIGN(40,MINT(15)+MINT(16)) ELSEIF(ISUB.EQ.145) THEN C...q + l -> LQ (leptoquark). IF(IABS(MINT(16)).LE.8) JS=2 KFRES=ISIGN(39,MINT(14+JS)) KCC=28+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.147.OR.ISUB.EQ.148) THEN C...q + g -> q* (excited quark). IF(MINT(15).EQ.21) JS=2 KFRES=MINT(14+JS)+ISIGN(6,MINT(14+JS)) KCC=30+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.149) THEN C...g + g -> eta_techni. KFRES=38 KCC=23 KCS=(-1)**INT(1.5+RLU(0)) ENDIF ELSE IF(ISUB.EQ.161) THEN C...f + g -> f' + H+/-; th = (p(f)-p(f'))**2. IF(MINT(15).EQ.21) JS=2 I=MINT(14+JS) IA=IABS(I) MINT(23-JS)=ISIGN(37,KCHG(IA,1)*I) IB=IA+MOD(IA,2)-MOD(IA+1,2) MINT(20+JS)=ISIGN(IB,I) KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.162) THEN C...q + g -> LQ + l~; LQ=leptoquark; th=(p(q)-p(LQ))^2. IF(MINT(15).EQ.21) JS=2 MINT(20+JS)=ISIGN(39,MINT(14+JS)) KFLQL=KFDP(MDCY(39,2),2) MINT(23-JS)=-ISIGN(KFLQL,MINT(14+JS)) KCC=15+JS KCS=ISIGN(1,MINT(14+JS)) ELSEIF(ISUB.EQ.163) THEN C...g + g -> LQ + LQ~; LQ=leptoquark; th arbitrary. KCS=(-1)**INT(1.5+RLU(0)) MINT(21)=ISIGN(39,KCS) MINT(22)=-MINT(21) KCC=MINT(2)+10 ELSEIF(ISUB.EQ.164) THEN C...q + q~ -> LQ + LQ~; LQ=leptoquark; th=(p(q)-p(LQ))**2. MINT(21)=ISIGN(39,MINT(15)) MINT(22)=-MINT(21) KCC=4 ELSEIF(ISUB.EQ.165) THEN C...q + q~ -> l- + l+; th=(p(q)-p(l-))**2. MINT(21)=ISIGN(KFPR(ISUB,1),MINT(15)) MINT(22)=-MINT(21) ELSEIF(ISUB.EQ.166) THEN C...q + q~' -> l + nu; th=(p(u)-p(nu))**2 or (p(u~)-p(nu~))**2. IF(MOD(MINT(15),2).EQ.0) THEN MINT(21)=ISIGN(KFPR(ISUB,1)+1,MINT(15)) MINT(22)=ISIGN(KFPR(ISUB,1),MINT(16)) ELSE MINT(21)=ISIGN(KFPR(ISUB,1),MINT(15)) MINT(22)=ISIGN(KFPR(ISUB,1)+1,MINT(16)) ENDIF ENDIF ENDIF IF(ISET(ISUB).EQ.11) THEN C...Store documentation for user-defined processes. BEZUP=(PUP(1,4)-PUP(2,4))/(PUP(1,4)+PUP(2,4)) KUPPO(1)=MINT(83)+5 KUPPO(2)=MINT(83)+6 I=MINT(83)+6 DO 440 IUP=3,NUP KUPPO(IUP)=0 IF(MSTP(128).GE.2.AND.KUP(IUP,3).NE.0) THEN IDOC=IDOC-1 MINT(4)=MINT(4)-1 GOTO 440 ENDIF I=I+1 KUPPO(IUP)=I K(I,1)=21 K(I,2)=KUP(IUP,2) K(I,3)=0 IF(KUP(IUP,3).NE.0) K(I,3)=KUPPO(KUP(IUP,3)) K(I,4)=0 K(I,5)=0 DO 430 J=1,5 P(I,J)=PUP(IUP,J) 430 CONTINUE 440 CONTINUE CALL LUDBRB(MINT(83)+7,MINT(83)+4+NUP,0.,VINT(24),0D0,0D0, & -DBLE(BEZUP)) C...Store final state partons for user-defined processes. N=IPU2 DO 460 IUP=3,NUP N=N+1 K(N,1)=1 IF(KUP(IUP,1).NE.1) K(N,1)=11 K(N,2)=KUP(IUP,2) IF(MSTP(128).LE.0.OR.KUP(IUP,3).EQ.0) THEN K(N,3)=KUPPO(IUP) ELSE K(N,3)=MINT(84)+KUP(IUP,3) ENDIF K(N,4)=0 K(N,5)=0 DO 450 J=1,5 P(N,J)=PUP(IUP,J) 450 CONTINUE 460 CONTINUE CALL LUDBRB(IPU3,N,0.,VINT(24),0D0,0D0,-DBLE(BEZUP)) C...Arrange colour flow for user-defined processes. N=MINT(84) DO 470 IUP=1,NUP N=N+1 IF(KCHG(LUCOMP(K(N,2)),2).EQ.0) GOTO 470 IF(K(N,1).EQ.1) K(N,1)=3 IF(K(N,1).EQ.11) K(N,1)=14 IF(KUP(IUP,4).NE.0) K(N,4)=K(N,4)+MSTU(5)*(KUP(IUP,4)+MINT(84)) IF(KUP(IUP,5).NE.0) K(N,5)=K(N,5)+MSTU(5)*(KUP(IUP,5)+MINT(84)) IF(KUP(IUP,6).NE.0) K(N,4)=K(N,4)+KUP(IUP,6)+MINT(84) IF(KUP(IUP,7).NE.0) K(N,5)=K(N,5)+KUP(IUP,7)+MINT(84) 470 CONTINUE ELSEIF(IDOC.EQ.7) THEN C...Resonance not decaying; store kinematics. I=MINT(83)+7 K(IPU3,1)=1 K(IPU3,2)=KFRES K(IPU3,3)=I P(IPU3,4)=SHUSER P(IPU3,5)=SHUSER K(I,1)=21 K(I,2)=KFRES P(I,4)=SHUSER P(I,5)=SHUSER N=IPU3 MINT(21)=KFRES MINT(22)=0 C...Special cases: colour flow in g + g -> eta_techni, q + l -> LQ C...and q + g -> q*. IF(KFRES.EQ.38.OR.IABS(KFRES).EQ.39.OR.(MSTP(6).EQ.1.AND. & (IABS(KFRES).EQ.7.OR.IABS(KFRES).EQ.8))) THEN K(IPU3,1)=3 DO 480 J=1,2 JC=J IF(KCS.EQ.-1) JC=3-J IF(ICOL(KCC,1,JC).NE.0.AND.K(IPU1,1).EQ.14) K(IPU1,J+3)= & MINT(84)+ICOL(KCC,1,JC) IF(ICOL(KCC,2,JC).NE.0.AND.K(IPU2,1).EQ.14) K(IPU2,J+3)= & MINT(84)+ICOL(KCC,2,JC) IF(ICOL(KCC,3,JC).NE.0.AND.K(IPU3,1).EQ.3) K(IPU3,J+3)= & MSTU(5)*(MINT(84)+ICOL(KCC,3,JC)) 480 CONTINUE ELSE K(IPU1,4)=IPU2 K(IPU1,5)=IPU2 K(IPU2,4)=IPU1 K(IPU2,5)=IPU1 ENDIF ELSEIF(IDOC.EQ.8) THEN C...2 -> 2 processes: store outgoing partons in their CM-frame. DO 490 JT=1,2 I=MINT(84)+2+JT K(I,1)=1 IF(IABS(MINT(20+JT)).LE.100) THEN IF(KCHG(IABS(MINT(20+JT)),2).NE.0) K(I,1)=3 ENDIF K(I,2)=MINT(20+JT) K(I,3)=MINT(83)+IDOC+JT-2 KFAA=IABS(K(I,2)) IF(KFAA.GE.23.OR.(KFAA.EQ.6.AND.KFPR(ISUBSV,1).NE.0.AND. & MSTP(48).GE.1).OR.((KFAA.EQ.7.OR.KFAA.EQ.8.OR.KFAA.EQ.17.OR. & KFAA.EQ.18).AND.KFPR(ISUBSV,1).NE.0.AND.MSTP(49).GE.1)) THEN P(I,5)=SQRT(VINT(63+MOD(JS+JT,2))) ELSE P(I,5)=ULMASS(K(I,2)) ENDIF 490 CONTINUE IF(P(IPU3,5)+P(IPU4,5).GE.SHR) THEN KFA1=IABS(MINT(21)) KFA2=IABS(MINT(22)) IF((KFA1.GT.3.AND.KFA1.NE.21).OR.(KFA2.GT.3.AND.KFA2.NE.21)) & THEN MINT(51)=1 RETURN ENDIF P(IPU3,5)=0. P(IPU4,5)=0. ENDIF P(IPU3,4)=0.5*(SHR+(P(IPU3,5)**2-P(IPU4,5)**2)/SHR) P(IPU3,3)=SQRT(MAX(0.,P(IPU3,4)**2-P(IPU3,5)**2)) P(IPU4,4)=SHR-P(IPU3,4) P(IPU4,3)=-P(IPU3,3) N=IPU4 MINT(7)=MINT(83)+7 MINT(8)=MINT(83)+8 C...Rotate outgoing partons using cos(theta)=(th-uh)/lam(sh,sqm3,sqm4). CALL LUDBRB(IPU3,IPU4,ACOS(VINT(23)),VINT(24),0D0,0D0,0D0) ELSEIF(IDOC.EQ.9.AND.ISET(ISUB).EQ.5) THEN C...2 -> 3 processes (alt 1): store outgoing partons in their CM frame. DO 500 JT=1,2 I=MINT(84)+2+JT K(I,1)=1 IF(IABS(MINT(20+JT)).LE.100) THEN IF(KCHG(IABS(MINT(20+JT)),2).NE.0) K(I,1)=3 ENDIF K(I,2)=MINT(20+JT) K(I,3)=MINT(83)+IDOC+JT-3 IF(IABS(K(I,2)).LE.22) THEN P(I,5)=ULMASS(K(I,2)) ELSE P(I,5)=SQRT(VINT(63+MOD(JS+JT,2))) ENDIF PT=SQRT(MAX(0.,VINT(197+5*JT)-P(I,5)**2+VINT(196+5*JT)**2)) P(I,1)=PT*COS(VINT(198+5*JT)) P(I,2)=PT*SIN(VINT(198+5*JT)) 500 CONTINUE K(IPU5,1)=1 K(IPU5,2)=KFRES K(IPU5,3)=MINT(83)+IDOC P(IPU5,5)=SHR P(IPU5,1)=-P(IPU3,1)-P(IPU4,1) P(IPU5,2)=-P(IPU3,2)-P(IPU4,2) PMS1=P(IPU3,5)**2+P(IPU3,1)**2+P(IPU3,2)**2 PMS2=P(IPU4,5)**2+P(IPU4,1)**2+P(IPU4,2)**2 PMS3=P(IPU5,5)**2+P(IPU5,1)**2+P(IPU5,2)**2 PMT3=SQRT(PMS3) P(IPU5,3)=PMT3*SINH(VINT(211)) P(IPU5,4)=PMT3*COSH(VINT(211)) PMS12=(SHPR-P(IPU5,4))**2-P(IPU5,3)**2 SQL12=(PMS12-PMS1-PMS2)**2-4.*PMS1*PMS2 IF(SQL12.LE.0.) THEN MINT(51)=1 RETURN ENDIF P(IPU3,3)=(-P(IPU5,3)*(PMS12+PMS1-PMS2)+ & VINT(213)*(SHPR-P(IPU5,4))*SQRT(SQL12))/(2.*PMS12) P(IPU4,3)=-P(IPU3,3)-P(IPU5,3) P(IPU3,4)=SQRT(PMS1+P(IPU3,3)**2) P(IPU4,4)=SQRT(PMS2+P(IPU4,3)**2) MINT(23)=KFRES N=IPU5 MINT(7)=MINT(83)+7 MINT(8)=MINT(83)+8 ELSEIF(IDOC.EQ.9) THEN C...2 -> 3 processes: store outgoing partons in their CM frame. DO 510 JT=1,3 I=MINT(84)+2+JT K(I,1)=1 IF(IABS(MINT(20+JT)).LE.10.OR.MINT(20+JT).EQ.21) K(I,1)=3 K(I,2)=MINT(20+JT) K(I,3)=MINT(83)+IDOC+JT-3 IF(JT.EQ.1) THEN P(I,5)=SQRT(VINT(63)) ELSE P(I,5)=PMAS(KFPR(ISUB,2),1) ENDIF 510 CONTINUE P(IPU3,4)=0.5*(SHR+(VINT(63)-VINT(64))/SHR) P(IPU3,3)=SQRT(MAX(0.,P(IPU3,4)**2-P(IPU3,5)**2)) P(IPU4,4)=0.5*SQRT(VINT(64)) P(IPU4,3)=SQRT(MAX(0.,P(IPU4,4)**2-P(IPU4,5)**2)) P(IPU5,4)=P(IPU4,4) P(IPU5,3)=-P(IPU4,3) N=IPU5 MINT(7)=MINT(83)+7 MINT(8)=MINT(83)+9 C...Rotate and boost outgoing partons. CALL LUDBRB(IPU4,IPU5,ACOS(VINT(83)),VINT(84),0D0,0D0,0D0) CALL LUDBRB(IPU4,IPU5,0.,0.,0D0,0D0, & -DBLE(P(IPU3,3)/(SHR-P(IPU3,4)))) CALL LUDBRB(IPU3,IPU5,ACOS(VINT(23)),VINT(24),0D0,0D0,0D0) ELSEIF(IDOC.EQ.11) THEN C...Z0 + Z0 -> H0, W+ + W- -> H0: store Higgs and outgoing partons. PHI(1)=PARU(2)*RLU(0) PHI(2)=PHI(1)-PHIR DO 520 JT=1,2 I=MINT(84)+2+JT K(I,1)=1 IF(IABS(MINT(20+JT)).LE.10.OR.MINT(20+JT).EQ.21) K(I,1)=3 K(I,2)=MINT(20+JT) K(I,3)=MINT(83)+IDOC+JT-2 P(I,5)=ULMASS(K(I,2)) IF(0.5*SHPR*Z(JT).LE.P(I,5)) P(I,5)=0. PABS=SQRT(MAX(0.,(0.5*SHPR*Z(JT))**2-P(I,5)**2)) PTABS=PABS*SQRT(MAX(0.,1.-CTHE(JT)**2)) P(I,1)=PTABS*COS(PHI(JT)) P(I,2)=PTABS*SIN(PHI(JT)) P(I,3)=PABS*CTHE(JT)*(-1)**(JT+1) P(I,4)=0.5*SHPR*Z(JT) IZW=MINT(83)+6+JT K(IZW,1)=21 K(IZW,2)=23 IF(ISUB.EQ.8) K(IZW,2)=ISIGN(24,LUCHGE(MINT(14+JT))) K(IZW,3)=IZW-2 P(IZW,1)=-P(I,1) P(IZW,2)=-P(I,2) P(IZW,3)=(0.5*SHPR-PABS*CTHE(JT))*(-1)**(JT+1) P(IZW,4)=0.5*SHPR*(1.-Z(JT)) P(IZW,5)=-SQRT(MAX(0.,P(IZW,3)**2+PTABS**2-P(IZW,4)**2)) 520 CONTINUE I=MINT(83)+9 K(IPU5,1)=1 K(IPU5,2)=KFRES K(IPU5,3)=I P(IPU5,5)=SHR P(IPU5,1)=-P(IPU3,1)-P(IPU4,1) P(IPU5,2)=-P(IPU3,2)-P(IPU4,2) P(IPU5,3)=-P(IPU3,3)-P(IPU4,3) P(IPU5,4)=SHPR-P(IPU3,4)-P(IPU4,4) K(I,1)=21 K(I,2)=KFRES DO 530 J=1,5 P(I,J)=P(IPU5,J) 530 CONTINUE N=IPU5 MINT(23)=KFRES ELSEIF(IDOC.EQ.12) THEN C...Z0 and W+/- scattering: store bosons and outgoing partons. PHI(1)=PARU(2)*RLU(0) PHI(2)=PHI(1)-PHIR JTRAN=INT(1.5+RLU(0)) DO 540 JT=1,2 I=MINT(84)+2+JT K(I,1)=1 IF(IABS(MINT(20+JT)).LE.10.OR.MINT(20+JT).EQ.21) K(I,1)=3 K(I,2)=MINT(20+JT) K(I,3)=MINT(83)+IDOC+JT-2 P(I,5)=ULMASS(K(I,2)) IF(0.5*SHPR*Z(JT).LE.P(I,5)) P(I,5)=0. PABS=SQRT(MAX(0.,(0.5*SHPR*Z(JT))**2-P(I,5)**2)) PTABS=PABS*SQRT(MAX(0.,1.-CTHE(JT)**2)) P(I,1)=PTABS*COS(PHI(JT)) P(I,2)=PTABS*SIN(PHI(JT)) P(I,3)=PABS*CTHE(JT)*(-1)**(JT+1) P(I,4)=0.5*SHPR*Z(JT) IZW=MINT(83)+6+JT K(IZW,1)=21 IF(MINT(14+JT).EQ.MINT(20+JT)) THEN K(IZW,2)=23 ELSE K(IZW,2)=ISIGN(24,LUCHGE(MINT(14+JT))-LUCHGE(MINT(20+JT))) ENDIF K(IZW,3)=IZW-2 P(IZW,1)=-P(I,1) P(IZW,2)=-P(I,2) P(IZW,3)=(0.5*SHPR-PABS*CTHE(JT))*(-1)**(JT+1) P(IZW,4)=0.5*SHPR*(1.-Z(JT)) P(IZW,5)=-SQRT(MAX(0.,P(IZW,3)**2+PTABS**2-P(IZW,4)**2)) IPU=MINT(84)+4+JT K(IPU,1)=3 K(IPU,2)=KFPR(ISUB,JT) IF(ISUB.EQ.72.AND.JT.EQ.JTRAN) K(IPU,2)=-K(IPU,2) IF(ISUB.EQ.73.OR.ISUB.EQ.77) K(IPU,2)=K(IZW,2) K(IPU,3)=MINT(83)+8+JT IF(IABS(K(IPU,2)).LE.10.OR.K(IPU,2).EQ.21) THEN P(IPU,5)=ULMASS(K(IPU,2)) ELSE P(IPU,5)=SQRT(VINT(63+MOD(JS+JT,2))) ENDIF MINT(22+JT)=K(IPU,2) 540 CONTINUE C...Find rotation and boost for hard scattering subsystem. I1=MINT(83)+7 I2=MINT(83)+8 BEXCM=(P(I1,1)+P(I2,1))/(P(I1,4)+P(I2,4)) BEYCM=(P(I1,2)+P(I2,2))/(P(I1,4)+P(I2,4)) BEZCM=(P(I1,3)+P(I2,3))/(P(I1,4)+P(I2,4)) GAMCM=(P(I1,4)+P(I2,4))/SHR BEPCM=BEXCM*P(I1,1)+BEYCM*P(I1,2)+BEZCM*P(I1,3) PX=P(I1,1)+GAMCM*(GAMCM/(1.+GAMCM)*BEPCM-P(I1,4))*BEXCM PY=P(I1,2)+GAMCM*(GAMCM/(1.+GAMCM)*BEPCM-P(I1,4))*BEYCM PZ=P(I1,3)+GAMCM*(GAMCM/(1.+GAMCM)*BEPCM-P(I1,4))*BEZCM THECM=ULANGL(PZ,SQRT(PX**2+PY**2)) PHICM=ULANGL(PX,PY) C...Store hard scattering subsystem. Rotate and boost it. SQLAM=(SH-P(IPU5,5)**2-P(IPU6,5)**2)**2-4.*P(IPU5,5)**2* & P(IPU6,5)**2 PABS=SQRT(MAX(0.,SQLAM/(4.*SH))) CTHWZ=VINT(23) STHWZ=SQRT(MAX(0.,1.-CTHWZ**2)) PHIWZ=VINT(24)-PHICM P(IPU5,1)=PABS*STHWZ*COS(PHIWZ) P(IPU5,2)=PABS*STHWZ*SIN(PHIWZ) P(IPU5,3)=PABS*CTHWZ P(IPU5,4)=SQRT(PABS**2+P(IPU5,5)**2) P(IPU6,1)=-P(IPU5,1) P(IPU6,2)=-P(IPU5,2) P(IPU6,3)=-P(IPU5,3) P(IPU6,4)=SQRT(PABS**2+P(IPU6,5)**2) CALL LUDBRB(IPU5,IPU6,THECM,PHICM,DBLE(BEXCM),DBLE(BEYCM), & DBLE(BEZCM)) DO 560 JT=1,2 I1=MINT(83)+8+JT I2=MINT(84)+4+JT K(I1,1)=21 K(I1,2)=K(I2,2) DO 550 J=1,5 P(I1,J)=P(I2,J) 550 CONTINUE 560 CONTINUE N=IPU6 MINT(7)=MINT(83)+9 MINT(8)=MINT(83)+10 ENDIF IF(ISET(ISUB).EQ.11) THEN ELSEIF(IDOC.GE.8.AND.ISET(ISUB).NE.6) THEN C...Store colour connection indices. DO 570 J=1,2 JC=J IF(KCS.EQ.-1) JC=3-J IF(ICOL(KCC,1,JC).NE.0.AND.K(IPU1,1).EQ.14) K(IPU1,J+3)= & K(IPU1,J+3)+MINT(84)+ICOL(KCC,1,JC) IF(ICOL(KCC,2,JC).NE.0.AND.K(IPU2,1).EQ.14) K(IPU2,J+3)= & K(IPU2,J+3)+MINT(84)+ICOL(KCC,2,JC) IF(ICOL(KCC,3,JC).NE.0.AND.K(IPU3,1).EQ.3) K(IPU3,J+3)= & MSTU(5)*(MINT(84)+ICOL(KCC,3,JC)) IF(ICOL(KCC,4,JC).NE.0.AND.K(IPU4,1).EQ.3) K(IPU4,J+3)= & MSTU(5)*(MINT(84)+ICOL(KCC,4,JC)) 570 CONTINUE C...Copy outgoing partons to documentation lines. IMAX=2 IF(IDOC.EQ.9) IMAX=3 DO 590 I=1,IMAX I1=MINT(83)+IDOC-IMAX+I I2=MINT(84)+2+I K(I1,1)=21 K(I1,2)=K(I2,2) IF(IDOC.LE.9) K(I1,3)=0 IF(IDOC.GE.11) K(I1,3)=MINT(83)+2+I DO 580 J=1,5 P(I1,J)=P(I2,J) 580 CONTINUE 590 CONTINUE ELSEIF(IDOC.EQ.9) THEN C...Store colour connection indices. DO 600 J=1,2 JC=J IF(KCS.EQ.-1) JC=3-J IF(ICOL(KCC,1,JC).NE.0.AND.K(IPU1,1).EQ.14) K(IPU1,J+3)= & K(IPU1,J+3)+MINT(84)+ICOL(KCC,1,JC)+ & MAX(0,MIN(1,ICOL(KCC,1,JC)-2)) IF(ICOL(KCC,2,JC).NE.0.AND.K(IPU2,1).EQ.14) K(IPU2,J+3)= & K(IPU2,J+3)+MINT(84)+ICOL(KCC,2,JC)+ & MAX(0,MIN(1,ICOL(KCC,2,JC)-2)) IF(ICOL(KCC,3,JC).NE.0.AND.K(IPU4,1).EQ.3) K(IPU4,J+3)= & MSTU(5)*(MINT(84)+ICOL(KCC,3,JC)) IF(ICOL(KCC,4,JC).NE.0.AND.K(IPU5,1).EQ.3) K(IPU5,J+3)= & MSTU(5)*(MINT(84)+ICOL(KCC,4,JC)) 600 CONTINUE C...Copy outgoing partons to documentation lines. DO 620 I=1,3 I1=MINT(83)+IDOC-3+I I2=MINT(84)+2+I K(I1,1)=21 K(I1,2)=K(I2,2) K(I1,3)=0 DO 610 J=1,5 P(I1,J)=P(I2,J) 610 CONTINUE 620 CONTINUE ENDIF C...Low-pT events: remove gluons used for string drawing purposes. IF(ISUB.EQ.95) THEN K(IPU3,1)=K(IPU3,1)+10 K(IPU4,1)=K(IPU4,1)+10 DO 630 J=41,66 VINT(J)=0. 630 CONTINUE DO 650 I=MINT(83)+5,MINT(83)+8 DO 640 J=1,5 P(I,J)=0. 640 CONTINUE 650 CONTINUE ENDIF RETURN END C********************************************************************* SUBROUTINE PYSSPA(IPU1,IPU2) C...Generates spacelike parton showers. IMPLICIT DOUBLE PRECISION(D) COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/ DIMENSION KFLS(4),IS(2),XS(2),ZS(2),Q2S(2),TEVCSV(2),TEVESV(2), &XFS(2,-25:25),XFA(-25:25),XFB(-25:25),XFN(-25:25),WTAPC(-25:25), &WTAPE(-25:25),WTSF(-25:25),THE2(2),ALAM(2),DQ2(3),DPC(3),DPD(4), &DPB(4),ROBO(5),MORE(2),KFBEAM(2),Q2MNCS(2),KCFI(2),NFIS(2), &IFIS(2,2),THEFIS(2,2),ISFI(2) C...Read out basic information; set global Q^2 scale. IPUS1=IPU1 IPUS2=IPU2 ISUB=MINT(1) Q2MX=VINT(56) IF(ISET(ISUB).EQ.2) Q2MX=PARP(67)*VINT(56) C...Initialize QCD evolution and check phase space. Q2MNC=PARP(62)**2 Q2MNCS(1)=Q2MNC IF(MSTP(66).EQ.1.AND.MINT(11).EQ.22.AND.MINT(107).EQ.1) &Q2MNCS(1)=MAX(Q2MNC,VINT(282)) Q2MNCS(2)=Q2MNC IF(MSTP(66).EQ.1.AND.MINT(12).EQ.22.AND.MINT(107).EQ.1) &Q2MNCS(2)=MAX(Q2MNC,VINT(282)) MCEV=0 XEC0=2.*PARP(65)/VINT(1) ALAMS=PARU(112) PARU(112)=PARP(61) FQ2C=1. TCMX=0. IF(MINT(47).GE.2.AND.(MINT(47).NE.5.OR.MSTP(12).GE.1)) THEN MCEV=1 IF(MSTP(64).EQ.1) FQ2C=PARP(63) IF(MSTP(64).EQ.2) FQ2C=PARP(64) TCMX=LOG(FQ2C*Q2MX/PARP(61)**2) IF(Q2MX.LT.MAX(Q2MNC,2.*PARP(61)**2).OR.TCMX.LT.0.2) & MCEV=0 ENDIF C...Initialize QED evolution and check phase space. Q2MNE=PARP(68)**2 MEEV=0 XEE=1E-6 SPME=PMAS(11,1)**2 TEMX=0. FWTE=10. IF(MINT(45).EQ.3.OR.MINT(46).EQ.3) THEN MEEV=1 TEMX=LOG(Q2MX/SPME) IF(Q2MX.LE.Q2MNE.OR.TEMX.LT.0.2) MEEV=0 ENDIF IF(MCEV.EQ.0.AND.MEEV.EQ.0) RETURN C...Initial values: flavours, momenta, virtualities. NS=N 100 N=NS DO 120 JT=1,2 MORE(JT)=1 KFBEAM(JT)=MINT(10+JT) IF(MINT(18+JT).EQ.1)KFBEAM(JT)=22 KFLS(JT)=MINT(14+JT) KFLS(JT+2)=KFLS(JT) XS(JT)=VINT(40+JT) IF(MINT(18+JT).EQ.1) XS(JT)=VINT(40+JT)/VINT(154+JT) ZS(JT)=1. Q2S(JT)=Q2MX TEVCSV(JT)=TCMX ALAM(JT)=PARP(61) THE2(JT)=100. TEVESV(JT)=TEMX DO 110 KFL=-25,25 XFS(JT,KFL)=XSFX(JT,KFL) 110 CONTINUE 120 CONTINUE DSH=VINT(44) IF(ISET(ISUB).GE.3.AND.ISET(ISUB).LE.5) DSH=VINT(26)*VINT(2) C...Find if interference with final state partons. MFIS=0 IF(MSTP(67).GE.1.AND.MSTP(67).LE.3) MFIS=MSTP(67) IF(MFIS.NE.0) THEN DO 140 I=1,2 KCFI(I)=0 KCA=LUCOMP(IABS(KFLS(I))) IF(KCA.NE.0) KCFI(I)=KCHG(KCA,2)*ISIGN(1,KFLS(I)) NFIS(I)=0 IF(KCFI(I).NE.0) THEN IF(I.EQ.1) IPFS=IPUS1 IF(I.EQ.2) IPFS=IPUS2 DO 130 J=1,2 ICSI=MOD(K(IPFS,3+J),MSTU(5)) IF(ICSI.GT.0.AND.ICSI.NE.IPUS1.AND.ICSI.NE.IPUS2.AND. & (KCFI(I).EQ.(-1)**(J+1).OR.KCFI(I).EQ.2)) THEN NFIS(I)=NFIS(I)+1 IFIS(I,NFIS(I))=ICSI THEFIS(I,NFIS(I))=ULANGL(P(ICSI,3),SQRT(P(ICSI,1)**2+ & P(ICSI,2)**2)) IF(I.EQ.2) THEFIS(I,NFIS(I))=PARU(1)-THEFIS(I,NFIS(I)) ENDIF 130 CONTINUE ENDIF 140 CONTINUE IF(NFIS(1)+NFIS(2).EQ.0) MFIS=0 ENDIF C...Pick up leg with highest virtuality. 150 N=N+1 JT=1 IF(N.GT.NS+1.AND.Q2S(2).GT.Q2S(1)) JT=2 IF(MORE(JT).EQ.0) JT=3-JT KFLB=KFLS(JT) XB=XS(JT) DO 160 KFL=-25,25 XFB(KFL)=XFS(JT,KFL) 160 CONTINUE DSHR=2D0*SQRT(DSH) DSHZ=DSH/DBLE(ZS(JT)) C...Check if allowed to branch. MCEV=0 IF(IABS(KFLB).LE.10.OR.KFLB.EQ.21) THEN MCEV=1 XEC=MAX(XEC0,XB*(1./(1.-PARP(66))-1.)) IF(XB.GE.1.-2.*XEC) MCEV=0 ENDIF MEEV=0 IF(MINT(44+JT).EQ.3) THEN MEEV=1 IF(XB.GE.1.-2.*XEE) MEEV=0 IF((IABS(KFLB).LE.10.OR.KFLB.EQ.21).AND.XB.GE.1.-2.*XEC) MEEV=0 C***Currently kill QED shower for resolved photoproduction. IF(MINT(18+JT).EQ.1) MEEV=0 C***Currently kill shower for W inside electron. IF(IABS(KFLB).EQ.24) THEN MCEV=0 MEEV=0 ENDIF ENDIF IF(MCEV.EQ.0.AND.MEEV.EQ.0) THEN Q2B=0. GOTO 250 ENDIF C...Maximum Q2 with or without Q2 ordering. Effective Lambda and n_f. Q2B=Q2S(JT) TEVCB=TEVCSV(JT) TEVEB=TEVESV(JT) IF(MSTP(62).LE.1) THEN Q2B=0.5*(1./ZS(JT)+1.)*Q2S(JT)+0.5*(1./ZS(JT)-1.)*(Q2S(3-JT)- & SNGL(DSH)+SQRT((SNGL(DSH)+Q2S(1)+Q2S(2))**2+8.*Q2S(1)*Q2S(2)* & ZS(JT)/(1.-ZS(JT)))) IF(MCEV.EQ.1) TEVCB=LOG(FQ2C*Q2B/ALAM(JT)**2) IF(MEEV.EQ.1) TEVEB=LOG(Q2B/SPME) ENDIF IF(MCEV.EQ.1) THEN ALSDUM=ULALPS(FQ2C*Q2B) TEVCB=TEVCB+2.*LOG(ALAM(JT)/PARU(117)) ALAM(JT)=PARU(117) B0=(33.-2.*MSTU(118))/6. ENDIF TEVCBS=TEVCB TEVEBS=TEVEB C...Select side for interference with final state partons. IF(MFIS.GE.1.AND.N.LE.NS+2) THEN IFI=N-NS ISFI(IFI)=0 IF(IABS(KCFI(IFI)).EQ.1.AND.NFIS(IFI).EQ.1) THEN ISFI(IFI)=1 ELSEIF(KCFI(IFI).EQ.2.AND.NFIS(IFI).EQ.1) THEN IF(RLU(0).GT.0.5) ISFI(IFI)=1 ELSEIF(KCFI(IFI).EQ.2.AND.NFIS(IFI).EQ.2) THEN ISFI(IFI)=1 IF(RLU(0).GT.0.5) ISFI(IFI)=2 ENDIF ENDIF C...Calculate Altarelli-Parisi weights. DO 170 KFL=-25,25 WTAPC(KFL)=0. WTAPE(KFL)=0. WTSF(KFL)=0. 170 CONTINUE C...q -> q, g -> q. IF(IABS(KFLB).LE.10) THEN WTAPC(KFLB)=(8./3.)*LOG((1.-XEC-XB)*(XB+XEC)/(XEC*(1.-XEC))) WTAPC(21)=0.5*(XB/(XB+XEC)-XB/(1.-XEC)) C...f -> f, gamma -> f. ELSEIF(IABS(KFLB).LE.20) THEN WTAPF1=LOG((1.-XEE-XB)*(XB+XEE)/(XEE*(1.-XEE))) WTAPF2=LOG((1.-XEE-XB)*(1.-XEE)/(XEE*(XB+XEE))) WTAPE(KFLB)=2.*(WTAPF1+WTAPF2) IF(MSTP(12).GE.1) WTAPE(22)=XB/(XB+XEE)-XB/(1.-XEE) C...f -> g, g -> g. ELSEIF(KFLB.EQ.21) THEN WTAPQ=(16./3.)*(SQRT((1.-XEC)/XB)-SQRT((XB+XEC)/XB)) DO 180 KFL=1,MSTP(58) WTAPC(KFL)=WTAPQ WTAPC(-KFL)=WTAPQ 180 CONTINUE WTAPC(21)=6.*LOG((1.-XEC-XB)/XEC) C...f -> gamma, W+, W-. ELSEIF(KFLB.EQ.22) THEN WTAPF=LOG((1.-XEE-XB)*(1.-XEE)/(XEE*(XB+XEE)))/XB WTAPE(11)=WTAPF WTAPE(-11)=WTAPF ELSEIF(KFLB.EQ.24) THEN WTAPE(-11)=1./(4.*PARU(102))*LOG((1.-XEE-XB)*(1.-XEE)/ & (XEE*(XB+XEE)))/XB ELSEIF(KFLB.EQ.-24) THEN WTAPE(11)=1./(4.*PARU(102))*LOG((1.-XEE-XB)*(1.-XEE)/ & (XEE*(XB+XEE)))/XB ENDIF C...Calculate structure function weights and sum. NTRY=0 190 NTRY=NTRY+1 IF(NTRY.GT.500) THEN MINT(51)=1 RETURN ENDIF WTSUMC=0. WTSUME=0. XFBO=MAX(1E-10,XFB(KFLB)) DO 200 KFL=-25,25 WTSF(KFL)=XFB(KFL)/XFBO WTSUMC=WTSUMC+WTAPC(KFL)*WTSF(KFL) WTSUME=WTSUME+WTAPE(KFL)*WTSF(KFL) 200 CONTINUE WTSUMC=MAX(0.0001,WTSUMC) WTSUME=MAX(0.0001/FWTE,WTSUME) C...Choose new t: fix alpha_s, alpha_s(Q^2), alpha_s(k_T^2). 210 IF(MCEV.EQ.1) THEN IF(MSTP(64).LE.0) THEN TEVCB=TEVCB+LOG(RLU(0))*PARU(2)/(PARU(111)*WTSUMC) ELSEIF(MSTP(64).EQ.1) THEN TEVCB=TEVCB*EXP(MAX(-50.,LOG(RLU(0))*B0/WTSUMC)) ELSE TEVCB=TEVCB*EXP(MAX(-50.,LOG(RLU(0))*B0/(5.*WTSUMC))) ENDIF ENDIF IF(MEEV.EQ.1) THEN TEVEB=TEVEB*EXP(MAX(-50.,LOG(RLU(0))*PARU(2)/ & (PARU(101)*FWTE*WTSUME*TEMX))) ENDIF C...Translate t into Q2 scale; choose between QCD and QED evolution. 220 IF(MCEV.EQ.1) Q2CB=ALAM(JT)**2*EXP(MAX(-50.,TEVCB))/FQ2C IF(MEEV.EQ.1) Q2EB=SPME*EXP(MAX(-50.,TEVEB)) MCE=0 IF(MCEV.EQ.0.AND.MEEV.EQ.0) THEN ELSEIF(MCEV.EQ.1.AND.MEEV.EQ.0) THEN IF(Q2CB.GT.Q2MNCS(JT)) MCE=1 ELSEIF(MCEV.EQ.0.AND.MEEV.EQ.1) THEN IF(Q2EB.GT.Q2MNE) MCE=2 ELSEIF(Q2MNCS(JT).GT.Q2MNE) THEN MCE=1 IF(Q2EB.GT.Q2CB.OR.Q2CB.LE.Q2MNCS(JT)) MCE=2 IF(MCE.EQ.2.AND.Q2EB.LE.Q2MNE) MCE=0 ELSE MCE=2 IF(Q2CB.GT.Q2EB.OR.Q2EB.LE.Q2MNE) MCE=1 IF(MCE.EQ.1.AND.Q2CB.LE.Q2MNCS(JT)) MCE=0 ENDIF C...Evolution possibly ended. Update t values. IF(MCE.EQ.0) THEN Q2B=0. GOTO 250 ELSEIF(MCE.EQ.1) THEN Q2B=Q2CB Q2REF=FQ2C*Q2B IF(MEEV.EQ.1) TEVEB=LOG(Q2B/SPME) ELSE Q2B=Q2EB Q2REF=Q2B IF(MCEV.EQ.1) TEVCB=LOG(FQ2C*Q2B/ALAM(JT)**2) ENDIF C...Select flavour for branching parton. IF(MCE.EQ.1) WTRAN=RLU(0)*WTSUMC IF(MCE.EQ.2) WTRAN=RLU(0)*WTSUME KFLA=-25 230 KFLA=KFLA+1 IF(MCE.EQ.1) WTRAN=WTRAN-WTAPC(KFLA)*WTSF(KFLA) IF(MCE.EQ.2) WTRAN=WTRAN-WTAPE(KFLA)*WTSF(KFLA) IF(KFLA.LE.24.AND.WTRAN.GT.0.) GOTO 230 IF(KFLA.EQ.25) THEN Q2B=0. GOTO 250 ENDIF C...Choose z value and corrective weight. WTZ=0. C...q -> q + g. IF(IABS(KFLA).LE.10.AND.IABS(KFLB).LE.10) THEN Z=1.-((1.-XB-XEC)/(1.-XEC))* & (XEC*(1.-XEC)/((XB+XEC)*(1.-XB-XEC)))**RLU(0) WTZ=0.5*(1.+Z**2) C...q -> g + q. ELSEIF(IABS(KFLA).LE.10.AND.KFLB.EQ.21) THEN Z=XB/(SQRT(XB+XEC)+RLU(0)*(SQRT(1.-XEC)-SQRT(XB+XEC)))**2 WTZ=0.5*(1.+(1.-Z)**2)*SQRT(Z) C...f -> f + gamma. ELSEIF(IABS(KFLA).LE.20.AND.IABS(KFLB).LE.20) THEN IF(WTAPF1.GT.RLU(0)*(WTAPF1+WTAPF2)) THEN Z=1.-((1.-XB-XEE)/(1.-XEE))* & (XEE*(1.-XEE)/((XB+XEE)*(1.-XB-XEE)))**RLU(0) ELSE Z=XB+XB*(XEE/(1.-XEE))* & ((1.-XB-XEE)*(1.-XEE)/(XEE*(XB+XEE)))**RLU(0) ENDIF WTZ=0.5*(1.+Z**2)*(Z-XB)/(1.-XB) C...f -> gamma + f. ELSEIF(IABS(KFLA).LE.20.AND.KFLB.EQ.22) THEN Z=XB+XB*(XEE/(1.-XEE))* & ((1.-XB-XEE)*(1.-XEE)/(XEE*(XB+XEE)))**RLU(0) WTZ=0.5*(1.+(1.-Z)**2)*XB*(Z-XB)/Z C...f -> W+- + f'. ELSEIF(IABS(KFLA).LE.20.AND.IABS(KFLB).EQ.24) THEN Z=XB+XB*(XEE/(1.-XEE))* & ((1.-XB-XEE)*(1.-XEE)/(XEE*(XB+XEE)))**RLU(0) WTZ=0.5*(1.+(1.-Z)**2)*(XB*(Z-XB)/Z)*(Q2B/(Q2B+PMAS(24,1)**2)) C...g -> q + q~. ELSEIF(KFLA.EQ.21.AND.IABS(KFLB).LE.10) THEN Z=XB/(1.-XEC)+RLU(0)*(XB/(XB+XEC)-XB/(1.-XEC)) WTZ=1.-2.*Z*(1.-Z) C...g -> g + g. ELSEIF(KFLA.EQ.21.AND.KFLB.EQ.21) THEN Z=1./(1.+((1.-XEC-XB)/XB)*(XEC/(1.-XEC-XB))**RLU(0)) WTZ=(1.-Z*(1.-Z))**2 C...gamma -> f + f~. ELSEIF(KFLA.EQ.22.AND.IABS(KFLB).LE.20) THEN Z=XB/(1.-XEE)+RLU(0)*(XB/(XB+XEE)-XB/(1.-XEE)) WTZ=1.-2.*Z*(1.-Z) ENDIF IF(MCE.EQ.2) WTZ=(WTZ/FWTE)*(TEVEB/TEMX) C...Option with resummation of soft gluon emission as effective z shift. IF(MCE.EQ.1) THEN IF(MSTP(65).GE.1) THEN RSOFT=6. IF(KFLB.NE.21) RSOFT=8./3. Z=Z*(TEVCB/TEVCSV(JT))**(RSOFT*XEC/((XB+XEC)*B0)) IF(Z.LE.XB) GOTO 210 ENDIF C...Option with alpha_s(k_T^2): demand k_T^2 > cutoff, reweight. IF(MSTP(64).GE.2) THEN IF((1.-Z)*Q2B.LT.Q2MNCS(JT)) GOTO 210 ALPRAT=TEVCB/(TEVCB+LOG(1.-Z)) IF(ALPRAT.LT.5.*RLU(0)) GOTO 210 IF(ALPRAT.GT.5.) WTZ=WTZ*ALPRAT/5. ENDIF C...Impose angular constraint in first branching from interference C...with final state partons. IF(MFIS.GE.1.AND.N.LE.NS+2) THEN THE2D=(4.*Q2B)/(DSH*(1.-Z)) IF(N.EQ.NS+1.AND.ISFI(1).GE.1) THEN IF(THE2D.GT.THEFIS(1,ISFI(1))**2) GOTO 210 ELSEIF(N.EQ.NS+2.AND.ISFI(2).GE.1) THEN IF(THE2D.GT.THEFIS(2,ISFI(2))**2) GOTO 210 ENDIF ENDIF C...Option with angular ordering requirement. IF(MSTP(62).GE.3) THEN THE2T=(4.*Z**2*Q2B)/(VINT(2)*(1.-Z)*XB**2) IF(THE2T.GT.THE2(JT)) GOTO 210 ENDIF ENDIF C...Weighting with new structure functions. IF(MSTP(57).NE.2) THEN CALL PYSTFU(KFBEAM(JT),XB,Q2REF,XFN) ELSE CALL PYSTFL(KFBEAM(JT),XB,Q2REF,XFN) ENDIF XFBN=XFN(KFLB) IF(XFBN.LT.1E-20) THEN IF(KFLA.EQ.KFLB) THEN TEVCB=TEVCBS TEVEB=TEVEBS WTAPC(KFLB)=0. WTAPE(KFLB)=0. GOTO 190 ELSEIF(MCE.EQ.1.AND.TEVCBS-TEVCB.GT.0.2) THEN TEVCB=0.5*(TEVCBS+TEVCB) GOTO 220 ELSEIF(MCE.EQ.2.AND.TEVEBS-TEVEB.GT.0.2) THEN TEVEB=0.5*(TEVEBS+TEVEB) GOTO 220 ELSE XFBN=1E-10 XFN(KFLB)=XFBN ENDIF ENDIF DO 240 KFL=-25,25 XFB(KFL)=XFN(KFL) 240 CONTINUE XA=XB/Z IF(MSTP(57).NE.2) THEN CALL PYSTFU(KFBEAM(JT),XA,Q2REF,XFA) ELSE CALL PYSTFL(KFBEAM(JT),XA,Q2REF,XFA) ENDIF XFAN=XFA(KFLA) IF(XFAN.LT.1E-20) GOTO 190 WTSFA=WTSF(KFLA) IF(WTZ*XFAN/XFBN.LT.RLU(0)*WTSFA) GOTO 190 C...Define two hard scatterers in their CM-frame. 250 IF(N.EQ.NS+2) THEN DQ2(JT)=Q2B DPLCM=SQRT((DSH+DQ2(1)+DQ2(2))**2-4D0*DQ2(1)*DQ2(2))/DSHR DO 270 JR=1,2 I=NS+JR IF(JR.EQ.1) IPO=IPUS1 IF(JR.EQ.2) IPO=IPUS2 DO 260 J=1,5 K(I,J)=0 P(I,J)=0. V(I,J)=0. 260 CONTINUE K(I,1)=14 K(I,2)=KFLS(JR+2) K(I,4)=IPO K(I,5)=IPO P(I,3)=DPLCM*(-1)**(JR+1) P(I,4)=(DSH+DQ2(3-JR)-DQ2(JR))/DSHR P(I,5)=-SQRT(SNGL(DQ2(JR))) K(IPO,1)=14 K(IPO,3)=I K(IPO,4)=MOD(K(IPO,4),MSTU(5))+MSTU(5)*I K(IPO,5)=MOD(K(IPO,5),MSTU(5))+MSTU(5)*I 270 CONTINUE C...Find maximum allowed mass of timelike parton. ELSEIF(N.GT.NS+2) THEN JR=3-JT DQ2(3)=Q2B DPC(1)=P(IS(1),4) DPC(2)=P(IS(2),4) DPC(3)=0.5*(ABS(P(IS(1),3))+ABS(P(IS(2),3))) DPD(1)=DSH+DQ2(JR)+DQ2(JT) DPD(2)=DSHZ+DQ2(JR)+DQ2(3) DPD(3)=SQRT(DPD(1)**2-4D0*DQ2(JR)*DQ2(JT)) DPD(4)=SQRT(DPD(2)**2-4D0*DQ2(JR)*DQ2(3)) IKIN=0 IF(Q2S(JR).GE.0.25*Q2MNC.AND.DPD(1)-DPD(3).GE. & 1D-10*DPD(1)) IKIN=1 IF(IKIN.EQ.0) DMSMA=(DQ2(JT)/DBLE(ZS(JT))-DQ2(3))*(DSH/ & (DSH+DQ2(JT))-DSH/(DSHZ+DQ2(3))) IF(IKIN.EQ.1) DMSMA=(DPD(1)*DPD(2)-DPD(3)*DPD(4))/(2.* & DQ2(JR))-DQ2(JT)-DQ2(3) C...Generate timelike parton shower (if required). IT=N DO 280 J=1,5 K(IT,J)=0 P(IT,J)=0. V(IT,J)=0. 280 CONTINUE K(IT,1)=3 C...f -> f + g (gamma). IF(IABS(KFLB).LE.20.AND.IABS(KFLS(JT+2)).LE.20) THEN K(IT,2)=21 IF(IABS(KFLB).GE.11) K(IT,2)=22 C...f -> g (gamma, W+-) + f. ELSEIF(IABS(KFLB).LE.20.AND.IABS(KFLS(JT+2)).GT.20) THEN K(IT,2)=KFLB IF(KFLS(JT+2).EQ.24) THEN K(IT,2)=-12 ELSEIF(KFLS(JT+2).EQ.-24) THEN K(IT,2)=12 ENDIF C...g (gamma) -> f + f~, g + g. ELSE K(IT,2)=-KFLS(JT+2) IF(KFLS(JT+2).GT.20) K(IT,2)=KFLS(JT+2) ENDIF P(IT,5)=ULMASS(K(IT,2)) IF(SNGL(DMSMA).LE.P(IT,5)**2) GOTO 100 IF(MSTP(63).GE.1.AND.MCE.EQ.1) THEN MSTJ48=MSTJ(48) PARJ85=PARJ(85) P(IT,4)=(DSHZ-DSH-P(IT,5)**2)/DSHR P(IT,3)=SQRT(P(IT,4)**2-P(IT,5)**2) IF(MSTP(63).EQ.1) THEN Q2TIM=DMSMA ELSEIF(MSTP(63).EQ.2) THEN Q2TIM=MIN(SNGL(DMSMA),PARP(71)*Q2S(JT)) ELSE Q2TIM=DMSMA MSTJ(48)=1 IF(IKIN.EQ.0) DPT2=DMSMA*(DSHZ+DQ2(3))/(DSH+DQ2(JT)) IF(IKIN.EQ.1) DPT2=DMSMA*(0.5*DPD(1)*DPD(2)+0.5*DPD(3)* & DPD(4)-DQ2(JR)*(DQ2(JT)+DQ2(3)))/(4.*DSH*DPC(3)**2) PARJ(85)=SQRT(MAX(0.,SNGL(DPT2)))* & (1./P(IT,4)+1./P(IS(JT),4)) ENDIF CALL LUSHOW(IT,0,SQRT(Q2TIM)) MSTJ(48)=MSTJ48 PARJ(85)=PARJ85 IF(N.GE.IT+1) P(IT,5)=P(IT+1,5) ENDIF C...Reconstruct kinematics of branching: timelike parton shower. DMS=P(IT,5)**2 IF(IKIN.EQ.0) DPT2=(DMSMA-DMS)*(DSHZ+DQ2(3))/(DSH+DQ2(JT)) IF(IKIN.EQ.1) DPT2=(DMSMA-DMS)*(0.5*DPD(1)*DPD(2)+0.5*DPD(3)* & DPD(4)-DQ2(JR)*(DQ2(JT)+DQ2(3)+DMS))/(4.*DSH*DPC(3)**2) IF(DPT2.LT.0.) GOTO 100 DPB(1)=(0.5*DPD(2)-DPC(JR)*(DSHZ+DQ2(JR)-DQ2(JT)-DMS)/ & DSHR)/DPC(3)-DPC(3) P(IT,1)=SQRT(SNGL(DPT2)) P(IT,3)=DPB(1)*(-1)**(JT+1) P(IT,4)=SQRT(DPT2+DPB(1)**2+DMS) IF(N.GE.IT+1) THEN DPB(1)=SQRT(DPB(1)**2+DPT2) DPB(2)=SQRT(DPB(1)**2+DMS) DPB(3)=P(IT+1,3) DPB(4)=SQRT(DPB(3)**2+DMS) DBEZ=(DPB(4)*DPB(1)-DPB(3)*DPB(2))/(DPB(4)*DPB(2)-DPB(3)* & DPB(1)) CALL LUDBRB(IT+1,N,0.,0.,0D0,0D0,DBEZ) THE=ULANGL(P(IT,3),P(IT,1)) CALL LUDBRB(IT+1,N,THE,0.,0D0,0D0,0D0) ENDIF C...Reconstruct kinematics of branching: spacelike parton. DO 290 J=1,5 K(N+1,J)=0 P(N+1,J)=0. V(N+1,J)=0. 290 CONTINUE K(N+1,1)=14 K(N+1,2)=KFLB P(N+1,1)=P(IT,1) P(N+1,3)=P(IT,3)+P(IS(JT),3) P(N+1,4)=P(IT,4)+P(IS(JT),4) P(N+1,5)=-SQRT(SNGL(DQ2(3))) C...Define colour flow of branching. K(IS(JT),3)=N+1 K(IT,3)=N+1 IM1=N+1 IM2=N+1 C...f -> f + gamma (Z, W). IF(IABS(K(IT,2)).GE.22) THEN K(IT,1)=1 ID1=IS(JT) ID2=IS(JT) C...f -> gamma (Z, W) + f. ELSEIF(IABS(K(IS(JT),2)).GE.22) THEN ID1=IT ID2=IT C...gamma -> q + q~, g + g. ELSEIF(K(N+1,2).EQ.22) THEN ID1=IS(JT) ID2=IT IM1=ID2 IM2=ID1 C...q -> q + g. ELSEIF(K(N+1,2).GT.0.AND.K(N+1,2).NE.21.AND.K(IT,2).EQ.21) THEN ID1=IT ID2=IS(JT) C...q -> g + q. ELSEIF(K(N+1,2).GT.0.AND.K(N+1,2).NE.21) THEN ID1=IS(JT) ID2=IT C...q~ -> q~ + g. ELSEIF(K(N+1,2).LT.0.AND.K(IT,2).EQ.21) THEN ID1=IS(JT) ID2=IT C...q~ -> g + q~. ELSEIF(K(N+1,2).LT.0) THEN ID1=IT ID2=IS(JT) C...g -> g + g; g -> q + q~. ELSEIF((K(IT,2).EQ.21.AND.RLU(0).GT.0.5).OR.K(IT,2).LT.0) THEN ID1=IS(JT) ID2=IT ELSE ID1=IT ID2=IS(JT) ENDIF IF(IM1.EQ.N+1) K(IM1,4)=K(IM1,4)+ID1 IF(IM2.EQ.N+1) K(IM2,5)=K(IM2,5)+ID2 K(ID1,4)=K(ID1,4)+MSTU(5)*IM1 K(ID2,5)=K(ID2,5)+MSTU(5)*IM2 IF(ID1.NE.ID2) THEN K(ID1,5)=K(ID1,5)+MSTU(5)*ID2 K(ID2,4)=K(ID2,4)+MSTU(5)*ID1 ENDIF N=N+1 C...Boost to new CM-frame. DBSVX=DBLE((P(N,1)+P(IS(JR),1))/(P(N,4)+P(IS(JR),4))) DBSVZ=DBLE((P(N,3)+P(IS(JR),3))/(P(N,4)+P(IS(JR),4))) IF(DBSVX**2+DBSVZ**2.GE.1D0) GOTO 100 CALL LUDBRB(NS+1,N,0.,0.,-DBSVX,0D0,-DBSVZ) IR=N+(JT-1)*(IS(1)-N) CALL LUDBRB(NS+1,N,-ULANGL(P(IR,3),P(IR,1)),PARU(2)*RLU(0), & 0D0,0D0,0D0) ENDIF C...Update kinematics variables. IS(JT)=N DQ2(JT)=Q2B IF(MSTP(62).GE.3) THE2(JT)=THE2T DSH=DSHZ C...Save quantities; loop back. Q2S(JT)=Q2B IF((MCEV.EQ.1.AND.Q2B.GE.0.25*Q2MNC).OR. &(MEEV.EQ.1.AND.Q2B.GE.Q2MNE)) THEN KFLS(JT+2)=KFLS(JT) KFLS(JT)=KFLA XS(JT)=XA ZS(JT)=Z DO 300 KFL=-25,25 XFS(JT,KFL)=XFA(KFL) 300 CONTINUE TEVCSV(JT)=TEVCB TEVESV(JT)=TEVEB ELSE MORE(JT)=0 IF(JT.EQ.1) IPU1=N IF(JT.EQ.2) IPU2=N ENDIF IF(N.GT.MSTU(4)-MSTU(32)-10) THEN CALL LUERRM(11,'(PYSSPA:) no more memory left in LUJETS') IF(MSTU(21).GE.1) N=NS IF(MSTU(21).GE.1) RETURN ENDIF IF(MORE(1).EQ.1.OR.MORE(2).EQ.1) GOTO 150 C...Boost hard scattering partons to frame of shower initiators. DO 310 J=1,3 ROBO(J+2)=(P(NS+1,J)+P(NS+2,J))/(P(NS+1,4)+P(NS+2,4)) 310 CONTINUE K(N+2,1)=1 DO 320 J=1,5 P(N+2,J)=P(NS+1,J) 320 CONTINUE ROBOT=ROBO(3)**2+ROBO(4)**2+ROBO(5)**2 IF(ROBOT.GE.0.999999) THEN ROBOT=1.00001*SQRT(ROBOT) ROBO(3)=ROBO(3)/ROBOT ROBO(4)=ROBO(4)/ROBOT ROBO(5)=ROBO(5)/ROBOT ENDIF CALL LUDBRB(N+2,N+2,0.,0.,-DBLE(ROBO(3)),-DBLE(ROBO(4)), &-DBLE(ROBO(5))) ROBO(2)=ULANGL(P(N+2,1),P(N+2,2)) ROBO(1)=ULANGL(P(N+2,3),SQRT(P(N+2,1)**2+P(N+2,2)**2)) CALL LUDBRB(MINT(83)+5,NS,ROBO(1),ROBO(2),DBLE(ROBO(3)), &DBLE(ROBO(4)),DBLE(ROBO(5))) C...Store user information. Reset Lambda value. K(IPU1,3)=MINT(83)+3 K(IPU2,3)=MINT(83)+4 DO 330 JT=1,2 MINT(12+JT)=KFLS(JT) VINT(140+JT)=XS(JT) IF(MINT(18+JT).EQ.1) VINT(140+JT)=VINT(154+JT)*XS(JT) 330 CONTINUE PARU(112)=ALAMS RETURN END C********************************************************************* SUBROUTINE PYRESD C...Allows resonances to decay (including parton showers for hadronic C...channels). IMPLICIT DOUBLE PRECISION(D) COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT4/ DIMENSION IREF(20,8),KDCY(3),KFL1(3),KFL2(3),KEQL(3),NSD(3), &ILIN(6),HGZ(2,3),COUP(6,4),CORL(2,2,2),PK(6,4),PKK(6,6), &CTHE(3),PHI(3),WDTP(0:40),WDTE(0:40,0:5),DBEZQQ(3),DPMO(5) COMPLEX FGK,HA(6,6),HC(6,6) C...The F, Xi and Xj functions of Gunion and Kunszt C...(Phys. Rev. D33, 665, plus errata from the authors). FGK(I1,I2,I3,I4,I5,I6)=4.*HA(I1,I3)*HC(I2,I6)*(HA(I1,I5)* &HC(I1,I4)+HA(I3,I5)*HC(I3,I4)) DIGK(DT,DU)=-4.*D34*D56+DT*(3.*DT+4.*DU)+DT**2*(DT*DU/(D34*D56)- &2.*(1./D34+1./D56)*(DT+DU)+2.*(D34/D56+D56/D34)) DJGK(DT,DU)=8.*(D34+D56)**2-8.*(D34+D56)*(DT+DU)-6.*DT*DU- &2.*DT*DU*(DT*DU/(D34*D56)-2.*(1./D34+1./D56)*(DT+DU)+ &2.*(D34/D56+D56/D34)) C...Some general constants. XW=PARU(102) SQMZ=PMAS(23,1)**2 SQMW=PMAS(24,1)**2 SH=VINT(44) C...Define initial one, two or three objects. ISUB=MINT(1) DO 100 JT=1,8 IREF(1,J)=0 100 CONTINUE IF(ISET(ISUB).EQ.1.OR.ISET(ISUB).EQ.3) THEN IREF(1,1)=MINT(84)+2+ISET(ISUB) IREF(1,4)=MINT(83)+6+ISET(ISUB) ELSEIF(ISET(ISUB).EQ.2.OR.ISET(ISUB).EQ.4) THEN IREF(1,1)=MINT(84)+1+ISET(ISUB) IREF(1,2)=MINT(84)+2+ISET(ISUB) IREF(1,4)=MINT(83)+5+ISET(ISUB) IREF(1,5)=MINT(83)+6+ISET(ISUB) ELSEIF(ISET(ISUB).EQ.5) THEN IREF(1,1)=MINT(84)+3 IREF(1,2)=MINT(84)+4 IREF(1,3)=MINT(84)+5 IREF(1,4)=MINT(83)+7 IREF(1,5)=MINT(83)+8 IREF(1,6)=MINT(83)+9 ELSEIF(ISET(ISUB).EQ.6) THEN IREF(1,1)=MINT(84)+4 IREF(1,2)=MINT(84)+5 IREF(1,3)=MINT(84)+3 IREF(1,4)=MINT(83)+8 IREF(1,5)=MINT(83)+9 IREF(1,6)=MINT(83)+7 ENDIF C...Check if initial resonance has been moved (in resonance + jet). DO 120 JT=1,3 IF(IREF(1,JT).GT.0) THEN IF(K(IREF(1,JT),1).GT.10) THEN KFA=IABS(K(IREF(1,JT),2)) IF(KFA.EQ.6.OR.(MSTP(6).NE.1.AND.(KFA.EQ.7.OR.KFA.EQ.8))) & THEN DO 110 I=IREF(1,JT)+1,N IF(K(I,1).LE.10.AND.K(I,2).EQ.K(IREF(1,JT),2)) IREF(1,JT)=I 110 CONTINUE ELSE KDA=MOD(K(IREF(1,JT),4),MSTU(4)) IF(KFA.GE.23.AND.KFA.LE.40.AND.KDA.GT.1) IREF(1,JT)=KDA ENDIF ENDIF ENDIF 120 CONTINUE C...Loop over decay history. NP=1 IP=0 130 IP=IP+1 NINH=0 JTMAX=2 IF(IP.EQ.1.AND.IREF(1,2).EQ.0) JTMAX=1 IF(IP.EQ.1.AND.IREF(1,3).NE.0) JTMAX=3 NSAV=N C...Start treatment of one or two resonances in parallel. 140 N=NSAV DO 170 JT=1,JTMAX ID=IREF(IP,JT) KDCY(JT)=0 KFL1(JT)=0 KFL2(JT)=0 KEQL(JT)=0 NSD(JT)=ID IF(ID.EQ.0) GOTO 160 KFA=IABS(K(ID,2)) IF((KFA.LT.23.OR.KFA.GT.40).AND.KFA.NE.6.AND.KFA.NE.7.AND. &KFA.NE.8.AND.KFA.NE.17.AND.KFA.NE.18) GOTO 160 IF(MSTP(48).LE.0.AND.KFA.EQ.6) GOTO 160 IF(MSTP(6).NE.1.AND.MSTP(49).LE.0.AND.(KFA.EQ.7.OR.KFA.EQ.8.OR. &KFA.EQ.17.OR.KFA.EQ.18)) GOTO 160 IF(K(ID,1).GT.10.OR.MDCY(KFA,1).EQ.0) GOTO 160 C...Select decay channel. KFB=0 IF(ISET(ISUB).NE.6.OR.JT.NE.3) THEN IF(ISUB.EQ.1.OR.ISUB.EQ.15.OR.ISUB.EQ.19.OR.ISUB.EQ.22.OR. & ISUB.EQ.30.OR.ISUB.EQ.35.OR.ISUB.EQ.141) MINT(61)=1 CALL PYWIDT(KFA,P(ID,5)**2,WDTP,WDTE) IF(KCHG(KFA,3).EQ.0) THEN IPM=2 ELSE IPM=(5-ISIGN(1,K(ID,2)))/2 ENDIF IF(JTMAX.GE.2.AND.JT.LE.2) KFB=IABS(K(IREF(IP,3-JT),2)) WDTE0S=WDTE(0,1)+WDTE(0,IPM)+WDTE(0,4) IF(KFB.EQ.KFA) WDTE0S=WDTE0S+WDTE(0,5) IF(WDTE0S.LE.0.) GOTO 160 RKFL=WDTE0S*RLU(0) IDL=0 150 IDL=IDL+1 IDC=IDL+MDCY(KFA,2)-1 RKFL=RKFL-(WDTE(IDL,1)+WDTE(IDL,IPM)+WDTE(IDL,4)) IF(KFB.EQ.KFA) RKFL=RKFL-WDTE(IDL,5) IF(IDL.LT.MDCY(KFA,3).AND.RKFL.GT.0.) GOTO 150 ELSE IDC=MINT(35) ENDIF C...Read out and classify decay channel chosen. KFL1(JT)=KFDP(IDC,1)*ISIGN(1,K(ID,2)) KFC1A=IABS(KFL1(JT)) IF(KFC1A.GT.100) KFC1A=LUCOMP(KFC1A) IF(KCHG(KFC1A,3).EQ.0) KFL1(JT)=IABS(KFL1(JT)) KFL2(JT)=KFDP(IDC,2)*ISIGN(1,K(ID,2)) KFC2A=IABS(KFL2(JT)) IF(KFC2A.GT.100) KFC2A=LUCOMP(KFC2A) IF(KCHG(KFC2A,3).EQ.0) KFL2(JT)=IABS(KFL2(JT)) KDCY(JT)=2 IF(IABS(KFL1(JT)).LE.10.OR.KFL1(JT).EQ.21) KDCY(JT)=1 IF(IABS(KFL1(JT)).GE.23.AND.IABS(KFL1(JT)).LE.40) KDCY(JT)=3 IF(KFB.EQ.KFA) KEQL(JT)=MDME(IDC,1) NSD(JT)=N HGZ(JT,1)=VINT(111) HGZ(JT,2)=VINT(112) HGZ(JT,3)=VINT(114) C...Select masses and check that mass sum not too large. IF(MSTP(42).LE.0.OR.(PMAS(KFC1A,2).LT.PARP(41).AND. &PMAS(KFC2A,2).LT.PARP(41))) THEN P(N+1,5)=PMAS(KFC1A,1) P(N+2,5)=PMAS(KFC2A,1) IF(P(N+1,5)+P(N+2,5)+PARJ(64).GT.P(ID,5)) THEN CALL LUERRM(13,'(PYRESD:) daughter masses too large') MINT(51)=1 RETURN ENDIF ELSEIF(IP.EQ.1) THEN CALL PYOFSH(2,KFA,KFL1(JT),KFL2(JT),P(ID,5),P(N+1,5),P(N+2,5)) IF(MINT(51).EQ.1) RETURN ELSE CALL PYOFSH(7,KFA,KFL1(JT),KFL2(JT),P(ID,5),P(N+1,5),P(N+2,5)) IF(MINT(51).EQ.1) RETURN ENDIF C...Fill decay products, prepared for parton showers for quarks. C...Special cases, done by hand, for techni-eta, t, leptoquark and q*. MSTU(10)=1 IF(KFA.EQ.38.OR.KFA.EQ.39.OR.((MSTP(6).EQ.1.OR.MSTP(49).GE.1).AND. &(KFA.EQ.7.OR.KFA.EQ.8)).OR.KFA.EQ.6) THEN MSTU(19)=1 CALL LU2ENT(N+1,KFL1(JT),KFL2(JT),P(ID,5)) ISID=4 IF(K(ID,2).LT.0) ISID=5 IF(KFA.EQ.38) THEN IF(KFC1A.EQ.21.AND.RLU(0).GT.0.5) ISID=9-ISID K(N-1,1)=3 K(N,1)=3 K(ID,ISID)=K(ID,ISID)+(N-1) K(ID,9-ISID)=K(ID,9-ISID)+N K(N-1,ISID)=MSTU(5)*ID K(N-1,9-ISID)=MSTU(5)*N K(N,ISID)=MSTU(5)*(N-1) K(N,9-ISID)=MSTU(5)*ID ELSEIF(KFA.EQ.6.OR.(MSTP(6).NE.1.AND.(KFA.EQ.7.OR.KFA.EQ.8))) & THEN K(N-1,1)=1 K(N,1)=3 K(ID,ISID)=K(ID,ISID)+N K(N,ISID)=MSTU(5)*ID ELSEIF(KFA.EQ.39) THEN K(N-1,1)=3 K(N,1)=1 K(ID,ISID)=K(ID,ISID)+(N-1) K(N-1,ISID)=MSTU(5)*ID ELSEIF(KFL1(JT).NE.21) THEN K(N-1,1)=1 K(N,1)=3 K(ID,ISID)=K(ID,ISID)+N K(N,ISID)=MSTU(5)*ID ELSE K(N-1,1)=3 K(N,1)=3 K(ID,ISID)=K(ID,ISID)+(N-1) K(N-1,ISID)=MSTU(5)*ID K(N-1,9-ISID)=MSTU(5)*N K(N,ISID)=MSTU(5)*(N-1) ENDIF ELSEIF(KDCY(JT).EQ.1) THEN CALL LU2ENT(-(N+1),KFL1(JT),KFL2(JT),P(ID,5)) ELSE CALL LU2ENT(N+1,KFL1(JT),KFL2(JT),P(ID,5)) ENDIF MSTU(10)=2 160 IF(KFA.GE.23.AND.KFA.LE.40.AND.KFL1(JT).EQ.0) NINH=NINH+1 170 CONTINUE C...Check for allowed combinations. Skip if no decays. IF(JTMAX.GE.2) THEN IF(KEQL(1).EQ.4.AND.KEQL(2).EQ.4) GOTO 140 IF(KEQL(1).EQ.5.AND.KEQL(2).EQ.5) GOTO 140 ENDIF IF(JTMAX.EQ.1.AND.KDCY(1).EQ.0) GOTO 480 IF(JTMAX.EQ.2.AND.KDCY(1).EQ.0.AND.KDCY(2).EQ.0) GOTO 480 IF(JTMAX.EQ.3.AND.KDCY(1).EQ.0.AND.KDCY(2).EQ.0.AND. &KDCY(3).EQ.0) GOTO 480 C...Order incoming partons and outgoing resonances. IF(JTMAX.EQ.2.AND.MSTP(47).GE.1.AND.NINH.EQ.0) THEN ILIN(1)=MINT(84)+1 IF(K(MINT(84)+1,2).GT.0) ILIN(1)=MINT(84)+2 IF(K(ILIN(1),2).EQ.21) ILIN(1)=2*MINT(84)+3-ILIN(1) ILIN(2)=2*MINT(84)+3-ILIN(1) IMIN=1 IF(IREF(IP,7).EQ.25.OR.IREF(IP,7).EQ.35.OR.IREF(IP,7). & EQ.36) IMIN=3 IMAX=2 IORD=1 IF(K(IREF(IP,1),2).EQ.23) IORD=2 IF(K(IREF(IP,1),2).EQ.24.AND.K(IREF(IP,2),2).EQ.-24) IORD=2 IAKIPD=IABS(K(IREF(IP,IORD),2)) IF(IAKIPD.EQ.25.OR.IAKIPD.EQ.35.OR.IAKIPD.EQ.36) IORD=3-IORD IF(KDCY(IORD).EQ.0) IORD=3-IORD C...Order decay products of resonances. DO 180 JT=IORD,3-IORD,3-2*IORD IF(KDCY(JT).EQ.0) THEN ILIN(IMAX+1)=NSD(JT) IMAX=IMAX+1 ELSEIF(K(NSD(JT)+1,2).GT.0) THEN ILIN(IMAX+1)=N+2*JT-1 ILIN(IMAX+2)=N+2*JT IMAX=IMAX+2 K(N+2*JT-1,2)=K(NSD(JT)+1,2) K(N+2*JT,2)=K(NSD(JT)+2,2) ELSE ILIN(IMAX+1)=N+2*JT ILIN(IMAX+2)=N+2*JT-1 IMAX=IMAX+2 K(N+2*JT-1,2)=K(NSD(JT)+1,2) K(N+2*JT,2)=K(NSD(JT)+2,2) ENDIF 180 CONTINUE C...Find charge, isospin, left- and righthanded couplings. DO 200 I=IMIN,IMAX DO 190 J=1,4 COUP(I,J)=0. 190 CONTINUE KFA=IABS(K(ILIN(I),2)) IF(KFA.EQ.0.OR.KFA.GT.20) GOTO 200 COUP(I,1)=KCHG(KFA,1)/3. COUP(I,2)=(-1)**MOD(KFA,2) COUP(I,4)=-2.*COUP(I,1)*XW COUP(I,3)=COUP(I,2)+COUP(I,4) 200 CONTINUE C...Full propagator dependence and flavour correlations for 2 gamma*/Z. IF(ISUB.EQ.22) THEN DO 230 I=3,5,2 I1=IORD IF(I.EQ.5) I1=3-IORD DO 220 J1=1,2 DO 210 J2=1,2 CORL(I/2,J1,J2)=COUP(1,1)**2*HGZ(I1,1)*COUP(I,1)**2/16.+ & COUP(1,1)*COUP(1,J1+2)*HGZ(I1,2)*COUP(I,1)*COUP(I,J2+2)/4.+ & COUP(1,J1+2)**2*HGZ(I1,3)*COUP(I,J2+2)**2 210 CONTINUE 220 CONTINUE 230 CONTINUE COWT12=(CORL(1,1,1)+CORL(1,1,2))*(CORL(2,1,1)+CORL(2,1,2))+ & (CORL(1,2,1)+CORL(1,2,2))*(CORL(2,2,1)+CORL(2,2,2)) COMX12=(CORL(1,1,1)+CORL(1,1,2)+CORL(1,2,1)+CORL(1,2,2))* & (CORL(2,1,1)+CORL(2,1,2)+CORL(2,2,1)+CORL(2,2,2)) IF(COWT12.LT.RLU(0)*COMX12) GOTO 140 ENDIF ENDIF C...Select angular orientation type - Z'/W' only. MZPWP=0 IF(ISUB.EQ.141) THEN IF(RLU(0).LT.PARU(130)) MZPWP=1 IF(IP.EQ.2) THEN IF(IABS(K(IREF(2,1),2)).EQ.37) MZPWP=2 IAKIR=IABS(K(IREF(2,2),2)) IF(IAKIR.EQ.25.OR.IAKIR.EQ.35.OR.IAKIR.EQ.36) MZPWP=2 ENDIF IF(IP.GE.3) MZPWP=2 ELSEIF(ISUB.EQ.142) THEN IF(RLU(0).LT.PARU(136)) MZPWP=1 IF(IP.EQ.2) THEN IAKIR=IABS(K(IREF(2,2),2)) IF(IAKIR.EQ.25.OR.IAKIR.EQ.35.OR.IAKIR.EQ.36) MZPWP=2 ENDIF IF(IP.GE.3) MZPWP=2 ENDIF C...Select random angles (begin of weighting procedure). 240 DO 250 JT=1,JTMAX IF(KDCY(JT).EQ.0) GOTO 250 IF(ISET(ISUB).EQ.6.AND.JT.EQ.3) GOTO 250 IF(JTMAX.EQ.1) THEN CTHE(JT)=VINT(13)+(VINT(33)-VINT(13)+VINT(34)-VINT(14))*RLU(0) IF(CTHE(JT).GT.VINT(33)) CTHE(JT)=CTHE(JT)+VINT(14)-VINT(33) PHI(JT)=VINT(24) ELSE CTHE(JT)=2.*RLU(0)-1. PHI(JT)=PARU(2)*RLU(0) ENDIF 250 CONTINUE IF(JTMAX.EQ.2.AND.MSTP(47).GE.1.AND.NINH.EQ.0) THEN C...Construct massless four-vectors. DO 270 I=N+1,N+4 K(I,1)=1 DO 260 J=1,5 P(I,J)=0. V(I,J)=0. 260 CONTINUE 270 CONTINUE DO 280 JT=1,JTMAX IF(KDCY(JT).EQ.0) GOTO 280 ID=IREF(IP,JT) P(N+2*JT-1,3)=0.5*P(ID,5) P(N+2*JT-1,4)=0.5*P(ID,5) P(N+2*JT,3)=-0.5*P(ID,5) P(N+2*JT,4)=0.5*P(ID,5) CALL LUDBRB(N+2*JT-1,N+2*JT,ACOS(CTHE(JT)),PHI(JT),DBLE(P(ID,1)/ & P(ID,4)),DBLE(P(ID,2)/P(ID,4)),DBLE(P(ID,3)/P(ID,4))) 280 CONTINUE C...Store incoming and outgoing momenta, with random rotation to C...avoid accidental zeroes in HA expressions. DO 300 I=1,IMAX K(N+4+I,1)=1 P(N+4+I,4)=SQRT(P(ILIN(I),1)**2+P(ILIN(I),2)**2+P(ILIN(I),3)**2+ & P(ILIN(I),5)**2) P(N+4+I,5)=P(ILIN(I),5) DO 290 J=1,3 P(N+4+I,J)=P(ILIN(I),J) 290 CONTINUE 300 CONTINUE 310 THERR=ACOS(2.*RLU(0)-1.) PHIRR=PARU(2)*RLU(0) CALL LUDBRB(N+5,N+4+IMAX,THERR,PHIRR,0D0,0D0,0D0) DO 330 I=1,IMAX IF(P(N+4+I,1)**2+P(N+4+I,2)**2.LT.1E-4*P(N+4+I,4)**2) GOTO 310 DO 320 J=1,4 PK(I,J)=P(N+4+I,J) 320 CONTINUE 330 CONTINUE C...Calculate internal products. IF(ISUB.EQ.22.OR.ISUB.EQ.23.OR.ISUB.EQ.25.OR.ISUB.EQ.141.OR. & ISUB.EQ.142) THEN DO 350 I1=IMIN,IMAX-1 DO 340 I2=I1+1,IMAX HA(I1,I2)=SQRT((PK(I1,4)-PK(I1,3))*(PK(I2,4)+PK(I2,3))/ & (1E-20+PK(I1,1)**2+PK(I1,2)**2))*CMPLX(PK(I1,1),PK(I1,2))- & SQRT((PK(I1,4)+PK(I1,3))*(PK(I2,4)-PK(I2,3))/ & (1E-20+PK(I2,1)**2+PK(I2,2)**2))*CMPLX(PK(I2,1),PK(I2,2)) HC(I1,I2)=CONJG(HA(I1,I2)) IF(I1.LE.2) HA(I1,I2)=CMPLX(0.,1.)*HA(I1,I2) IF(I1.LE.2) HC(I1,I2)=CMPLX(0.,1.)*HC(I1,I2) HA(I2,I1)=-HA(I1,I2) HC(I2,I1)=-HC(I1,I2) 340 CONTINUE 350 CONTINUE ENDIF DO 370 I=1,2 DO 360 J=1,4 PK(I,J)=-PK(I,J) 360 CONTINUE 370 CONTINUE DO 390 I1=IMIN,IMAX-1 DO 380 I2=I1+1,IMAX PKK(I1,I2)=2.*(PK(I1,4)*PK(I2,4)-PK(I1,1)*PK(I2,1)- & PK(I1,2)*PK(I2,2)-PK(I1,3)*PK(I2,3)) PKK(I2,I1)=PKK(I1,I2) 380 CONTINUE 390 CONTINUE ENDIF KFAGM=IABS(IREF(IP,7)) IF(MSTP(47).LE.0.OR.NINH.NE.0) THEN C...Isotropic decay selected by user. WT=1. WTMAX=1. ELSEIF(IREF(IP,7).EQ.25.OR.IREF(IP,7).EQ.35.OR. &IREF(IP,7).EQ.36) THEN C...Angular weight for H0 -> Z0 + Z0 or W+ + W- -> 4 quarks/leptons. WT=16.*PKK(3,5)*PKK(4,6) IF(IP.EQ.1) WTMAX=SH**2 IF(IP.GE.2) WTMAX=P(IREF(IP,8),5)**4 KFA=IABS(K(IREF(IP,1),2)) IF(KFA.NE.23.AND.KFA.NE.24) WT=WTMAX ELSEIF((KFAGM.EQ.6.OR.(MSTP(6).NE.1.AND.(KFAGM.EQ.7.OR. &KFAGM.EQ.8.OR.KFAGM.EQ.17.OR.KFAGM.EQ.18))).AND. &IABS(K(IREF(IP,1),2)).EQ.24) THEN C...Angular correlation in f -> f' + W -> f' + 2 quarks/leptons. I1=IREF(IP,8) IF(MOD(KFAGM,2).EQ.0) THEN I2=N+1 I3=N+2 ELSE I2=N+2 I3=N+1 ENDIF I4=IREF(IP,2) WT=(P(I1,4)*P(I2,4)-P(I1,1)*P(I2,1)-P(I1,2)*P(I2,2)- & P(I1,3)*P(I2,3))*(P(I3,4)*P(I4,4)-P(I3,1)*P(I4,1)- & P(I3,2)*P(I4,2)-P(I3,3)*P(I4,3)) WTMAX=(P(I1,5)**4-P(IREF(IP,1),5)**4)/8. IF(KFAGM.EQ.6.AND.MSTP(48).LE.1) WT=WTMAX IF(KFAGM.NE.6.AND.MSTP(49).LE.1) WT=WTMAX ELSEIF(ISUB.EQ.1) THEN C...Angular weight for gamma*/Z0 -> 2 quarks/leptons. EI=KCHG(IABS(MINT(15)),1)/3. AI=SIGN(1.,EI+0.1) VI=AI-4.*EI*XW EF=KCHG(IABS(KFL1(1)),1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ASYM=2.*(EI*AI*VINT(112)*EF*AF+4.*VI*AI*VINT(114)*VF*AF)/ & (EI**2*VINT(111)*EF**2+EI*VI*VINT(112)*EF*VF+ & (VI**2+AI**2)*VINT(114)*(VF**2+AF**2)) WT=1.+ASYM*CTHE(1)*ISIGN(1,MINT(15)*KFL1(1))+CTHE(1)**2 WTMAX=2.+ABS(ASYM) ELSEIF(ISUB.EQ.2) THEN C...Angular weight for W+/- -> 2 quarks/leptons. WT=(1.+CTHE(1)*ISIGN(1,MINT(15)*KFL1(1)))**2 WTMAX=4. ELSEIF(ISUB.EQ.15.OR.ISUB.EQ.19) THEN C...Angular weight for f + f~ -> gluon/gamma + (gamma*/Z0) -> C...-> gluon/gamma + 2 quarks/leptons. CLILF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,3)*HGZ(2,2)*COUP(3,1)*COUP(3,3)/4.+ & COUP(1,3)**2*HGZ(2,3)*COUP(3,3)**2 CLIRF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,3)*HGZ(2,2)*COUP(3,1)*COUP(3,4)/4.+ & COUP(1,3)**2*HGZ(2,3)*COUP(3,4)**2 CRILF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,4)*HGZ(2,2)*COUP(3,1)*COUP(3,3)/4.+ & COUP(1,4)**2*HGZ(2,3)*COUP(3,3)**2 CRIRF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,4)*HGZ(2,2)*COUP(3,1)*COUP(3,4)/4.+ & COUP(1,4)**2*HGZ(2,3)*COUP(3,4)**2 WT=(CLILF+CRIRF)*(PKK(1,3)**2+PKK(2,4)**2)+ & (CLIRF+CRILF)*(PKK(1,4)**2+PKK(2,3)**2) WTMAX=(CLILF+CLIRF+CRILF+CRIRF)* & ((PKK(1,3)+PKK(1,4))**2+(PKK(2,3)+PKK(2,4))**2) ELSEIF(ISUB.EQ.16.OR.ISUB.EQ.20) THEN C...Angular weight for f + f~' -> gluon/gamma + W+/- -> C...-> gluon/gamma + 2 quarks/leptons. WT=PKK(1,3)**2+PKK(2,4)**2 WTMAX=(PKK(1,3)+PKK(1,4))**2+(PKK(2,3)+PKK(2,4))**2 ELSEIF(ISUB.EQ.22) THEN C...Angular weight for f + f~ -> Z0 + Z0 -> 4 quarks/leptons. S34=P(IREF(IP,IORD),5)**2 S56=P(IREF(IP,3-IORD),5)**2 TI=PKK(1,3)+PKK(1,4)+S34 UI=PKK(1,5)+PKK(1,6)+S56 FGK135=ABS(FGK(1,2,3,4,5,6)/TI+FGK(1,2,5,6,3,4)/UI)**2 FGK145=ABS(FGK(1,2,4,3,5,6)/TI+FGK(1,2,5,6,4,3)/UI)**2 FGK136=ABS(FGK(1,2,3,4,6,5)/TI+FGK(1,2,6,5,3,4)/UI)**2 FGK146=ABS(FGK(1,2,4,3,6,5)/TI+FGK(1,2,6,5,4,3)/UI)**2 FGK253=ABS(FGK(2,1,5,6,3,4)/TI+FGK(2,1,3,4,5,6)/UI)**2 FGK263=ABS(FGK(2,1,6,5,3,4)/TI+FGK(2,1,3,4,6,5)/UI)**2 FGK254=ABS(FGK(2,1,5,6,4,3)/TI+FGK(2,1,4,3,5,6)/UI)**2 FGK264=ABS(FGK(2,1,6,5,4,3)/TI+FGK(2,1,4,3,6,5)/UI)**2 WT= & CORL(1,1,1)*CORL(2,1,1)*FGK135+CORL(1,1,2)*CORL(2,1,1)*FGK145+ & CORL(1,1,1)*CORL(2,1,2)*FGK136+CORL(1,1,2)*CORL(2,1,2)*FGK146+ & CORL(1,2,1)*CORL(2,2,1)*FGK253+CORL(1,2,2)*CORL(2,2,1)*FGK263+ & CORL(1,2,1)*CORL(2,2,2)*FGK254+CORL(1,2,2)*CORL(2,2,2)*FGK264 WTMAX=16.*((CORL(1,1,1)+CORL(1,1,2))*(CORL(2,1,1)+CORL(2,1,2))+ & (CORL(1,2,1)+CORL(1,2,2))*(CORL(2,2,1)+CORL(2,2,2)))*S34*S56* & ((TI**2+UI**2+2.*SH*(S34+S56))/(TI*UI)-S34*S56*(1./TI**2+ & 1./UI**2)) ELSEIF(ISUB.EQ.23) THEN C...Angular weight for f + f~' -> Z0 + W+/- -> 4 quarks/leptons. D34=P(IREF(IP,IORD),5)**2 D56=P(IREF(IP,3-IORD),5)**2 DT=PKK(1,3)+PKK(1,4)+D34 DU=PKK(1,5)+PKK(1,6)+D56 FACBW=1./((SH-SQMW)**2+SQMW*PMAS(24,2)**2) CAWZ=COUP(2,3)/SNGL(DT)-2.*(1.-XW)*COUP(1,2)*(SH-SQMW)*FACBW CBWZ=COUP(1,3)/SNGL(DU)+2.*(1.-XW)*COUP(1,2)*(SH-SQMW)*FACBW FGK135=ABS(CAWZ*FGK(1,2,3,4,5,6)+CBWZ*FGK(1,2,5,6,3,4)) FGK136=ABS(CAWZ*FGK(1,2,3,4,6,5)+CBWZ*FGK(1,2,6,5,3,4)) WT=(COUP(5,3)*FGK135)**2+(COUP(5,4)*FGK136)**2 WTMAX=4.*D34*D56*(COUP(5,3)**2+COUP(5,4)**2)*(CAWZ**2* & DIGK(DT,DU)+CBWZ**2*DIGK(DU,DT)+CAWZ*CBWZ*DJGK(DT,DU)) ELSEIF(ISUB.EQ.24.OR.ISUB.EQ.171.OR.ISUB.EQ.176) THEN C...Angular weight for f + f~ -> Z0 + H0 -> 2 quarks/leptons + H0 C...(or H'0, or A0). WT=((COUP(1,3)*COUP(3,3))**2+(COUP(1,4)*COUP(3,4))**2)* & PKK(1,3)*PKK(2,4)+((COUP(1,3)*COUP(3,4))**2+(COUP(1,4)* & COUP(3,3))**2)*PKK(1,4)*PKK(2,3) WTMAX=(COUP(1,3)**2+COUP(1,4)**2)*(COUP(3,3)**2+COUP(3,4)**2)* & (PKK(1,3)+PKK(1,4))*(PKK(2,3)+PKK(2,4)) ELSEIF(ISUB.EQ.25) THEN C...Angular weight for f + f~ -> W+ + W- -> 4 quarks/leptons. D34=P(IREF(IP,IORD),5)**2 D56=P(IREF(IP,3-IORD),5)**2 DT=PKK(1,3)+PKK(1,4)+D34 DU=PKK(1,5)+PKK(1,6)+D56 FACBW=1./((SH-SQMZ)**2+SQMZ*PMAS(23,2)**2) CDWW=(COUP(1,3)*SQMZ*(SH-SQMZ)*FACBW+COUP(1,2))/SH CAWW=CDWW+0.5*(COUP(1,2)+1.)/SNGL(DT) CBWW=CDWW+0.5*(COUP(1,2)-1.)/SNGL(DU) CCWW=COUP(1,4)*SQMZ*(SH-SQMZ)*FACBW/SH FGK135=ABS(CAWW*FGK(1,2,3,4,5,6)-CBWW*FGK(1,2,5,6,3,4)) FGK253=ABS(FGK(2,1,5,6,3,4)-FGK(2,1,3,4,5,6)) WT=FGK135**2+(CCWW*FGK253)**2 WTMAX=4.*D34*D56*(CAWW**2*DIGK(DT,DU)+CBWW**2*DIGK(DU,DT)-CAWW* & CBWW*DJGK(DT,DU)+CCWW**2*(DIGK(DT,DU)+DIGK(DU,DT)-DJGK(DT,DU))) ELSEIF(ISUB.EQ.26.OR.ISUB.EQ.172.OR.ISUB.EQ.177) THEN C...Angular weight for f + f~' -> W+/- + H0 -> 2 quarks/leptons + H0 C...(or H'0, or A0). WT=PKK(1,3)*PKK(2,4) WTMAX=(PKK(1,3)+PKK(1,4))*(PKK(2,3)+PKK(2,4)) ELSEIF(ISUB.EQ.30.OR.ISUB.EQ.35) THEN C...Angular weight for f + g/gamma -> f + (gamma*/Z0) C...-> f + 2 quarks/leptons. CLILF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,3)*HGZ(2,2)*COUP(3,1)*COUP(3,3)/4.+ & COUP(1,3)**2*HGZ(2,3)*COUP(3,3)**2 CLIRF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,3)*HGZ(2,2)*COUP(3,1)*COUP(3,4)/4.+ & COUP(1,3)**2*HGZ(2,3)*COUP(3,4)**2 CRILF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,4)*HGZ(2,2)*COUP(3,1)*COUP(3,3)/4.+ & COUP(1,4)**2*HGZ(2,3)*COUP(3,3)**2 CRIRF=COUP(1,1)**2*HGZ(2,1)*COUP(3,1)**2/16.+ & COUP(1,1)*COUP(1,4)*HGZ(2,2)*COUP(3,1)*COUP(3,4)/4.+ & COUP(1,4)**2*HGZ(2,3)*COUP(3,4)**2 IF(K(ILIN(1),2).GT.0) WT=(CLILF+CRIRF)*(PKK(1,4)**2+ & PKK(3,5)**2)+(CLIRF+CRILF)*(PKK(1,3)**2+PKK(4,5)**2) IF(K(ILIN(1),2).LT.0) WT=(CLILF+CRIRF)*(PKK(1,3)**2+ & PKK(4,5)**2)+(CLIRF+CRILF)*(PKK(1,4)**2+PKK(3,5)**2) WTMAX=(CLILF+CLIRF+CRILF+CRIRF)* & ((PKK(1,3)+PKK(1,4))**2+(PKK(3,5)+PKK(4,5))**2) ELSEIF(ISUB.EQ.31) THEN C...Angular weight for f + g -> f' + W+/- -> f' + 2 quarks/leptons. IF(K(ILIN(1),2).GT.0) WT=PKK(1,4)**2+PKK(3,5)**2 IF(K(ILIN(1),2).LT.0) WT=PKK(1,3)**2+PKK(4,5)**2 WTMAX=(PKK(1,3)+PKK(1,4))**2+(PKK(3,5)+PKK(4,5))**2 ELSEIF(ISUB.EQ.71.OR.ISUB.EQ.72.OR.ISUB.EQ.73.OR.ISUB.EQ.76.OR. &ISUB.EQ.77) THEN C...Angular weight for V_L1 + V_L2 -> V_L3 + V_L4 (V = Z/W). WT=16.*PKK(3,5)*PKK(4,6) WTMAX=SH**2 ELSEIF(ISUB.EQ.110) THEN C...Angular weight for f + f~ -> gamma + H0 -> gamma + X is isotropic. WT=1. WTMAX=1. ELSEIF(ISUB.EQ.141) THEN IF(IP.EQ.1.AND.(KDCY(1).EQ.1.OR.KDCY(1).EQ.2)) THEN C...Angular weight for f + f~ -> gamma*/Z0/Z'0 -> 2 quarks/leptons. C...Couplings of incoming flavour. KFAI=IABS(MINT(15)) EI=KCHG(KFAI,1)/3. AI=SIGN(1.,EI+0.1) VI=AI-4.*EI*XW KFAIC=1 IF(KFAI.LE.10.AND.MOD(KFAI,2).EQ.0) KFAIC=2 IF(KFAI.GT.10.AND.MOD(KFAI,2).NE.0) KFAIC=3 IF(KFAI.GT.10.AND.MOD(KFAI,2).EQ.0) KFAIC=4 VPI=PARU(119+2*KFAIC) API=PARU(120+2*KFAIC) C...Couplings of final flavour. KFAF=IABS(KFL1(1)) EF=KCHG(KFAF,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW KFAFC=1 IF(KFAF.LE.10.AND.MOD(KFAF,2).EQ.0) KFAFC=2 IF(KFAF.GT.10.AND.MOD(KFAF,2).NE.0) KFAFC=3 IF(KFAF.GT.10.AND.MOD(KFAF,2).EQ.0) KFAFC=4 VPF=PARU(119+2*KFAFC) APF=PARU(120+2*KFAFC) C...Asymmetry and weight. ASYM=2.*(EI*AI*VINT(112)*EF*AF+EI*API*VINT(113)*EF*APF+ & 4.*VI*AI*VINT(114)*VF*AF+(VI*API+VPI*AI)*VINT(115)* & (VF*APF+VPF*AF)+4.*VPI*API*VINT(116)*VPF*APF)/ & (EI**2*VINT(111)*EF**2+EI*VI*VINT(112)*EF*VF+ & EI*VPI*VINT(113)*EF*VPF+(VI**2+AI**2)*VINT(114)* & (VF**2+AF**2)+(VI*VPI+AI*API)*VINT(115)*(VF*VPF+AF*APF)+ & (VPI**2+API**2)*VINT(116)*(VPF**2+APF**2)) WT=1.+ASYM*CTHE(1)*ISIGN(1,MINT(15)*KFL1(1))+CTHE(1)**2 WTMAX=2.+ABS(ASYM) ELSEIF(IP.EQ.1.AND.IABS(KFL1(1)).EQ.24) THEN C...Angular weight for f + f~ -> Z' -> W+ + W-. RM1=P(NSD(1)+1,5)**2/SH RM2=P(NSD(1)+2,5)**2/SH CCOS2=-(1./16.)*((1.-RM1-RM2)**2-4.*RM1*RM2)* & (1.-2.*RM1-2.*RM2+RM1**2+RM2**2+10.*RM1*RM2) CFLAT=-CCOS2+0.5*(RM1+RM2)*(1.-2.*RM1-2.*RM2+(RM2-RM1)**2) WT=CFLAT+CCOS2*CTHE(1)**2 WTMAX=CFLAT+MAX(0.,CCOS2) ELSEIF(IP.EQ.1.AND.(KFL1(1).EQ.25.OR.KFL1(1).EQ.35.OR. & IABS(KFL1(1)).EQ.37)) THEN C...Angular weight for f + f~ -> Z' -> H0 + A0, H'0 + A0, H+ + H-. WT=1.-CTHE(1)**2 WTMAX=1. ELSEIF(IP.EQ.1.AND.KDCY(1).EQ.3) THEN C...Angular weight for f + f~ -> Z' -> Z0 + H0. RM1=P(NSD(1)+1,5)**2/SH RM2=P(NSD(1)+2,5)**2/SH FLAM2=MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2) WT=1.+FLAM2*(1.-CTHE(1)**2)/(8.*RM1) WTMAX=1.+FLAM2/(8.*RM1) ELSEIF(MZPWP.EQ.0) THEN C...Angular weight for f + f~ -> Z' -> W+ + W- -> 4 quarks/leptons C...(W:s like if intermediate Z). D34=P(IREF(IP,IORD),5)**2 D56=P(IREF(IP,3-IORD),5)**2 DT=PKK(1,3)+PKK(1,4)+D34 DU=PKK(1,5)+PKK(1,6)+D56 FGK135=ABS(FGK(1,2,3,4,5,6)-FGK(1,2,5,6,3,4)) FGK253=ABS(FGK(2,1,5,6,3,4)-FGK(2,1,3,4,5,6)) WT=(COUP(1,3)*FGK135)**2+(COUP(1,4)*FGK253)**2 WTMAX=4.*D34*D56*(COUP(1,3)**2+COUP(1,4)**2)* & (DIGK(DT,DU)+DIGK(DU,DT)-DJGK(DT,DU)) ELSEIF(MZPWP.EQ.1) THEN C...Angular weight for f + f~ -> Z' -> W+ + W- -> 4 quarks/leptons C...(W:s approximately longitudinal, like if intermediate H). WT=16.*PKK(3,5)*PKK(4,6) WTMAX=SH**2 ELSE C...Angular weight for f + f~ -> Z' -> H+ + H-, Z0 + H0, H0 + A0, C...H'0 + A0 -> 4 quarks/leptons. WT=1. WTMAX=1. ENDIF ELSEIF(ISUB.EQ.142) THEN IF(IP.EQ.1.AND.(KDCY(1).EQ.1.OR.KDCY(1).EQ.2)) THEN C...Angular weight for f + f~' -> W'+/- -> 2 quarks/leptons. KFAI=IABS(MINT(15)) KFAIC=1 IF(KFAI.GT.10) KFAIC=2 VI=PARU(129+2*KFAIC) AI=PARU(130+2*KFAIC) KFAF=IABS(KFL1(1)) KFAFC=1 IF(KFAF.GT.10) KFAFC=2 VF=PARU(129+2*KFAFC) AF=PARU(130+2*KFAFC) ASYM=8.*VI*AI*VF*AF/((VI**2+AI**2)*(VF**2+AF**2)) WT=1.+ASYM*CTHE(1)*ISIGN(1,MINT(15)*KFL1(1))+CTHE(1)**2 WTMAX=2.+ABS(ASYM) ELSEIF(IP.EQ.1.AND.IABS(KFL2(1)).EQ.23) THEN C...Angular weight for f + f~' -> W'+/- -> W+/- + Z0. RM1=P(NSD(1)+1,5)**2/SH RM2=P(NSD(1)+2,5)**2/SH CCOS2=-(1./16.)*((1.-RM1-RM2)**2-4.*RM1*RM2)* & (1.-2.*RM1-2.*RM2+RM1**2+RM2**2+10.*RM1*RM2) CFLAT=-CCOS2+0.5*(RM1+RM2)*(1.-2.*RM1-2.*RM2+(RM2-RM1)**2) WT=CFLAT+CCOS2*CTHE(1)**2 WTMAX=CFLAT+MAX(0.,CCOS2) ELSEIF(IP.EQ.1.AND.KDCY(1).EQ.3) THEN C...Angular weight for f + f~ -> W'+/- -> W+/- + H0. RM1=P(NSD(1)+1,5)**2/SH RM2=P(NSD(1)+2,5)**2/SH FLAM2=MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2) WT=1.+FLAM2*(1.-CTHE(1)**2)/(8.*RM1) WTMAX=1.+FLAM2/(8.*RM1) ELSEIF(MZPWP.EQ.0) THEN C...Angular weight for f + f~' -> W' -> W + Z0 -> 4 quarks/leptons C...(W/Z like if intermediate W). D34=P(IREF(IP,IORD),5)**2 D56=P(IREF(IP,3-IORD),5)**2 DT=PKK(1,3)+PKK(1,4)+D34 DU=PKK(1,5)+PKK(1,6)+D56 FGK135=ABS(FGK(1,2,3,4,5,6)-FGK(1,2,5,6,3,4)) FGK136=ABS(FGK(1,2,3,4,6,5)-FGK(1,2,6,5,3,4)) WT=(COUP(5,3)*FGK135)**2+(COUP(5,4)*FGK136)**2 WTMAX=4.*D34*D56*(COUP(5,3)**2+COUP(5,4)**2)* & (DIGK(DT,DU)+DIGK(DU,DT)-DJGK(DT,DU)) ELSEIF(MZPWP.EQ.1) THEN C...Angular weight for f + f~' -> W' -> W + Z0 -> 4 quarks/leptons C...(W/Z approximately longitudinal, like if intermediate H). WT=16.*PKK(3,5)*PKK(4,6) WTMAX=SH**2 ELSE C...Angular weight for f + f~ -> W' -> W + H0 -> whatever. WT=1. WTMAX=1. ENDIF ELSEIF(ISUB.EQ.145.OR.ISUB.EQ.162.OR.ISUB.EQ.163.OR.ISUB.EQ.164) &THEN C...Isotropic decay of leptoquarks (assumed spin 0). WT=1. WTMAX=1. ELSEIF(ISUB.EQ.147.OR.ISUB.EQ.148) THEN C...Decays of (spin 1/2) q* -> q + (g,gamma) or (Z0,W+-). SIDE=1. IF(MINT(16).EQ.21) SIDE=-1. IF(IP.EQ.1.AND.(KFL1(1).EQ.21.OR.KFL1(1).EQ.22)) THEN WT=1.+SIDE*CTHE(1) WTMAX=2. ELSEIF(IP.EQ.1) THEN RM1=P(NSD(1)+1,5)**2/SH WT=1.+SIDE*CTHE(1)*(1.-0.5*RM1)/(1.+0.5*RM1) WTMAX=1.+(1.-0.5*RM1)/(1.+0.5*RM1) ELSE C...W/Z decay assumed isotropic, since not known. WT=1. WTMAX=1. ENDIF ELSEIF(ISUB.EQ.149) THEN C...Isotropic decay of techni-eta. WT=1. WTMAX=1. C...Obtain correct angular distribution by rejection techniques. ELSE WT=1. WTMAX=1. ENDIF IF(WT.LT.RLU(0)*WTMAX) GOTO 240 C...Construct massive four-vectors using angles chosen. Mark decayed C...resonances, add documentation lines. Shower evolution. 400 DO 470 JT=1,JTMAX IF(KDCY(JT).EQ.0) GOTO 470 ID=IREF(IP,JT) IF(ISET(ISUB).NE.6.OR.JT.NE.3) THEN DO 410 J=1,5 DPMO(J)=P(ID,J) 410 CONTINUE DPMO(4)=SQRT(DPMO(1)**2+DPMO(2)**2+DPMO(3)**2+DPMO(5)**2) CALL LUDBRB(NSD(JT)+1,NSD(JT)+2,ACOS(CTHE(JT)),PHI(JT), & DPMO(1)/DPMO(4),DPMO(2)/DPMO(4),DPMO(3)/DPMO(4)) ELSE C...Z + q + q~ : angles already known, in rest frame of system. DO 420 J=1,3 DBEZQQ(J)=(P(ID,J)+P(ID+1,J)+P(ID+2,J))/(P(ID,4)+P(ID+1,4)+ & P(ID+2,4)) 420 CONTINUE K(N+1,1)=1 DO 430 J=1,5 P(N+1,J)=P(ID,J) 430 CONTINUE CALL LUDBRB(N+1,N+1,0.,0.,-DBEZQQ(1),-DBEZQQ(2),-DBEZQQ(3)) PHIZQQ=ULANGL(P(N+1,1),P(N+1,2)) THEZQQ=ULANGL(P(N+1,3),SQRT(P(N+1,1)**2+P(N+1,2)**2)) CALL LUDBRB(NSD(JT)+1,NSD(JT)+2,ACOS(VINT(81)),VINT(82), & 0D0,0D0,DBLE(SQRT(P(N+1,1)**2+P(N+1,2)**2+P(N+1,3)**2)/ & P(N+1,4))) CALL LUDBRB(NSD(JT)+1,NSD(JT)+2,THEZQQ,PHIZQQ,DBEZQQ(1), & DBEZQQ(2),DBEZQQ(3)) ENDIF K(ID,1)=K(ID,1)+10 KFA=IABS(K(ID,2)) IF(KFA.EQ.38.OR.KFA.EQ.39.OR.((MSTP(6).EQ.1.OR.MSTP(49).GE.1).AND. &(KFA.EQ.7.OR.KFA.EQ.8)).OR.(MSTP(48).GE.1.AND.KFA.EQ.6)) THEN C...Do not kill colour flow through techni-eta, t, leptoquark or q*! ELSE K(ID,4)=NSD(JT)+1 K(ID,5)=NSD(JT)+2 ENDIF IDOC=MINT(83)+MINT(4) DO 450 I=NSD(JT)+1,NSD(JT)+2 I1=MINT(83)+MINT(4)+1 K(I,3)=I1 IF(MSTP(128).GE.1) K(I,3)=ID IF(MSTP(128).LE.1.AND.MINT(4).LT.MSTP(126)) THEN MINT(4)=MINT(4)+1 K(I1,1)=21 K(I1,2)=K(I,2) K(I1,3)=IREF(IP,JT+3) DO 440 J=1,5 P(I1,J)=P(I,J) 440 CONTINUE ENDIF 450 CONTINUE C...Shower - top currently special case. NSHBEF=N IF(MSTP(71).GE.1.AND.(KDCY(JT).LE.2.OR.KFA.EQ.6.OR.(MSTP(6).NE.1 &.AND.(KFA.EQ.7.OR.KFA.EQ.8)))) &CALL LUSHOW(NSD(JT)+1,NSD(JT)+2,P(ID,5)) NSHAFT=N C...Check if new resonances were produced. KNSDA1=IABS(K(NSD(JT)+1,2)) KNSDA2=IABS(K(NSD(JT)+2,2)) IF(KNSDA1.EQ.6.OR.KNSDA2.EQ.6.OR.(MSTP(6).NE.1.AND. &(KNSDA1.EQ.7.OR.KNSDA2.EQ.7.OR.KNSDA1.EQ.8.OR.KNSDA2.EQ.8))) THEN NSD1=0 NSD2=0 DO 460 I=NSD(JT)+1,N IF(K(I,1).LT.10.AND.K(I,2).EQ.K(NSD(JT)+1,2)) NSD1=I IF(K(I,1).LT.10.AND.K(I,2).EQ.K(NSD(JT)+2,2)) NSD2=I 460 CONTINUE IF(NSD1.NE.0.AND.NSD2.NE.0) THEN NP=NP+1 IREF(NP,1)=NSD1 IREF(NP,2)=NSD2 IREF(NP,3)=0 IREF(NP,4)=IDOC+1 IREF(NP,5)=IDOC+2 IREF(NP,6)=0 IREF(NP,7)=K(IREF(IP,JT),2) IREF(NP,8)=IREF(IP,JT) ENDIF ELSEIF(KDCY(JT).EQ.3.OR.KFA.EQ.6.OR.(MSTP(6).NE.1.AND. &(KFA.EQ.7.OR.KFA.EQ.8))) THEN NP=NP+1 IREF(NP,1)=NSD(JT)+1 IREF(NP,2)=NSD(JT)+2 IF(NSHAFT-NSHBEF.GT.0) THEN IREF(NP,1)=NSHBEF+2 IREF(NP,2)=NSHBEF+3 ENDIF IREF(NP,3)=0 IREF(NP,4)=IDOC+1 IREF(NP,5)=IDOC+2 IREF(NP,6)=0 IREF(NP,7)=K(IREF(IP,JT),2) IREF(NP,8)=IREF(IP,JT) ENDIF 470 CONTINUE C...Fill information for 2 -> 1 -> 2. Loop back if needed. IF(JTMAX.EQ.1.AND.KDCY(1).NE.0) THEN MINT(7)=MINT(83)+6+2*ISET(ISUB) MINT(8)=MINT(83)+7+2*ISET(ISUB) MINT(25)=KFL1(1) MINT(26)=KFL2(1) VINT(23)=CTHE(1) RM3=P(N-1,5)**2/SH RM4=P(N,5)**2/SH BE34=SQRT(MAX(0.,(1.-RM3-RM4)**2-4.*RM3*RM4)) VINT(45)=-0.5*SH*(1.-RM3-RM4-BE34*CTHE(1)) VINT(46)=-0.5*SH*(1.-RM3-RM4+BE34*CTHE(1)) VINT(48)=0.25*SH*BE34**2*MAX(0.,1.-CTHE(1)**2) VINT(47)=SQRT(VINT(48)) ENDIF 480 IF(IP.LT.NP) GOTO 130 RETURN END C********************************************************************* SUBROUTINE PYMULT(MMUL) C...Initializes treatment of multiple interactions, selects kinematics C...of hardest interaction if low-pT physics included in run, and C...generates all non-hardest interactions. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT7/SIGT(0:6,0:6,0:5) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT5/, &/PYINT7/ DIMENSION NMUL(20),SIGM(20),KSTR(500,2),VINTSV(80) SAVE XT2,XT2FAC,XC2,XTS,IRBIN,RBIN,NMUL,SIGM C...Initialization of multiple interaction treatment. IF(MMUL.EQ.1) THEN IF(MSTP(122).GE.1) WRITE(MSTU(11),5000) MSTP(82) ISUB=96 MINT(1)=96 VINT(63)=0. VINT(64)=0. VINT(143)=1. VINT(144)=1. C...Loop over phase space points: xT2 choice in 20 bins. 100 SIGSUM=0. DO 120 IXT2=1,20 NMUL(IXT2)=MSTP(83) SIGM(IXT2)=0. DO 110 ITRY=1,MSTP(83) RSCA=0.05*((21-IXT2)-RLU(0)) XT2=VINT(149)*(1.+VINT(149))/(VINT(149)+RSCA)-VINT(149) XT2=MAX(0.01*VINT(149),XT2) VINT(25)=XT2 C...Choose tau and y*. Calculate cos(theta-hat). IF(RLU(0).LE.COEF(ISUB,1)) THEN TAUT=(2.*(1.+SQRT(1.-XT2))/XT2-1.)**RLU(0) TAU=XT2*(1.+TAUT)**2/(4.*TAUT) ELSE TAU=XT2*(1.+TAN(RLU(0)*ATAN(SQRT(1./XT2-1.)))**2) ENDIF VINT(21)=TAU CALL PYKLIM(2) RYST=RLU(0) MYST=1 IF(RYST.GT.COEF(ISUB,8)) MYST=2 IF(RYST.GT.COEF(ISUB,8)+COEF(ISUB,9)) MYST=3 CALL PYKMAP(2,MYST,RLU(0)) VINT(23)=SQRT(MAX(0.,1.-XT2/TAU))*(-1)**INT(1.5+RLU(0)) C...Calculate differential cross-section. VINT(71)=0.5*VINT(1)*SQRT(XT2) CALL PYSIGH(NCHN,SIGS) SIGM(IXT2)=SIGM(IXT2)+SIGS 110 CONTINUE SIGSUM=SIGSUM+SIGM(IXT2) 120 CONTINUE SIGSUM=SIGSUM/(20.*MSTP(83)) C...Reject result if sigma(parton-parton) is smaller than hadronic one. IF(SIGSUM.LT.1.1*SIGT(0,0,5)) THEN IF(MSTP(122).GE.1) WRITE(MSTU(11),5100) PARP(82),SIGSUM PARP(82)=0.9*PARP(82) VINT(149)=4.*PARP(82)**2/VINT(2) GOTO 100 ENDIF IF(MSTP(122).GE.1) WRITE(MSTU(11),5200) PARP(82), SIGSUM C...Start iteration to find k factor. YKE=SIGSUM/SIGT(0,0,5) SO=0.5 XI=0. YI=0. XK=0.5 IIT=0 130 IF(IIT.EQ.0) THEN XK=2.*XK ELSEIF(IIT.EQ.1) THEN XK=0.5*XK ELSE XK=XI+(YKE-YI)*(XF-XI)/(YF-YI) ENDIF C...Evaluate overlap integrals. IF(MSTP(82).EQ.2) THEN SP=0.5*PARU(1)*(1.-EXP(-XK)) SOP=SP/PARU(1) ELSE IF(MSTP(82).EQ.3) DELTAB=0.02 IF(MSTP(82).EQ.4) DELTAB=MIN(0.01,0.05*PARP(84)) SP=0. SOP=0. B=-0.5*DELTAB 140 B=B+DELTAB IF(MSTP(82).EQ.3) THEN OV=EXP(-B**2)/PARU(2) ELSE CQ2=PARP(84)**2 OV=((1.-PARP(83))**2*EXP(-MIN(50.,B**2))+2.*PARP(83)* & (1.-PARP(83))*2./(1.+CQ2)*EXP(-MIN(50.,B**2*2./(1.+CQ2)))+ & PARP(83)**2/CQ2*EXP(-MIN(50.,B**2/CQ2)))/PARU(2) ENDIF PACC=1.-EXP(-MIN(50.,PARU(1)*XK*OV)) SP=SP+PARU(2)*B*DELTAB*PACC SOP=SOP+PARU(2)*B*DELTAB*OV*PACC IF(B.LT.1..OR.B*PACC.GT.1E-6) GOTO 140 ENDIF YK=PARU(1)*XK*SO/SP C...Continue iteration until convergence. IF(YK.LT.YKE) THEN XI=XK YI=YK IF(IIT.EQ.1) IIT=2 ELSE XF=XK YF=YK IF(IIT.EQ.0) IIT=1 ENDIF IF(ABS(YK-YKE).GE.1E-5*YKE) GOTO 130 C...Store some results for subsequent use. VINT(145)=SIGSUM VINT(146)=SOP/SO VINT(147)=SOP/SP C...Initialize iteration in xT2 for hardest interaction. ELSEIF(MMUL.EQ.2) THEN IF(MSTP(82).LE.0) THEN ELSEIF(MSTP(82).EQ.1) THEN XT2=1. XT2FAC=XSEC(96,1)/SIGT(0,0,5)*VINT(149)/(1.-VINT(149)) ELSEIF(MSTP(82).EQ.2) THEN XT2=1. XT2FAC=VINT(146)*XSEC(96,1)/SIGT(0,0,5)*VINT(149)* & (1.+VINT(149)) ELSE XC2=4.*CKIN(3)**2/VINT(2) IF(CKIN(3).LE.CKIN(5).OR.MINT(82).GE.2) XC2=0. ENDIF ELSEIF(MMUL.EQ.3) THEN C...Low-pT or multiple interactions (first semihard interaction): C...choose xT2 according to dpT2/pT2**2*exp(-(sigma above pT2)/norm) C...or (MSTP(82)>=2) dpT2/(pT2+pT0**2)**2*exp(-....). ISUB=MINT(1) IF(MSTP(82).LE.0) THEN XT2=0. ELSEIF(MSTP(82).EQ.1) THEN XT2=XT2FAC*XT2/(XT2FAC-XT2*LOG(RLU(0))) ELSEIF(MSTP(82).EQ.2) THEN IF(XT2.LT.1..AND.EXP(-XT2FAC*XT2/(VINT(149)*(XT2+ & VINT(149)))).GT.RLU(0)) XT2=1. IF(XT2.GE.1.) THEN XT2=(1.+VINT(149))*XT2FAC/(XT2FAC-(1.+VINT(149))*LOG(1.- & RLU(0)*(1.-EXP(-XT2FAC/(VINT(149)*(1.+VINT(149)))))))- & VINT(149) ELSE XT2=-XT2FAC/LOG(EXP(-XT2FAC/(XT2+VINT(149)))+RLU(0)* & (EXP(-XT2FAC/VINT(149))-EXP(-XT2FAC/(XT2+VINT(149)))))- & VINT(149) ENDIF XT2=MAX(0.01*VINT(149),XT2) ELSE XT2=(XC2+VINT(149))*(1.+VINT(149))/(1.+VINT(149)- & RLU(0)*(1.-XC2))-VINT(149) XT2=MAX(0.01*VINT(149),XT2) ENDIF VINT(25)=XT2 C...Low-pT: choose xT2, tau, y* and cos(theta-hat) fixed. IF(MSTP(82).LE.1.AND.XT2.LT.VINT(149)) THEN IF(MINT(82).EQ.1) NGEN(0,1)=NGEN(0,1)-1 IF(MINT(82).EQ.1) NGEN(ISUB,1)=NGEN(ISUB,1)-1 ISUB=95 MINT(1)=ISUB VINT(21)=0.01*VINT(149) VINT(22)=0. VINT(23)=0. VINT(25)=0.01*VINT(149) ELSE C...Multiple interactions (first semihard interaction). C...Choose tau and y*. Calculate cos(theta-hat). IF(RLU(0).LE.COEF(ISUB,1)) THEN TAUT=(2.*(1.+SQRT(1.-XT2))/XT2-1.)**RLU(0) TAU=XT2*(1.+TAUT)**2/(4.*TAUT) ELSE TAU=XT2*(1.+TAN(RLU(0)*ATAN(SQRT(1./XT2-1.)))**2) ENDIF VINT(21)=TAU CALL PYKLIM(2) RYST=RLU(0) MYST=1 IF(RYST.GT.COEF(ISUB,8)) MYST=2 IF(RYST.GT.COEF(ISUB,8)+COEF(ISUB,9)) MYST=3 CALL PYKMAP(2,MYST,RLU(0)) VINT(23)=SQRT(MAX(0.,1.-XT2/TAU))*(-1)**INT(1.5+RLU(0)) ENDIF VINT(71)=0.5*VINT(1)*SQRT(VINT(25)) C...Store results of cross-section calculation. ELSEIF(MMUL.EQ.4) THEN ISUB=MINT(1) XTS=VINT(25) IF(ISET(ISUB).EQ.1) XTS=VINT(21) IF(ISET(ISUB).EQ.2.OR.ISET(ISUB).EQ.6) & XTS=(4.*VINT(48)+2.*VINT(63)+2.*VINT(64))/VINT(2) IF(ISET(ISUB).GE.3.AND.ISET(ISUB).LE.5) XTS=VINT(26) RBIN=MAX(0.000001,MIN(0.999999,XTS*(1.+VINT(149))/ & (XTS+VINT(149)))) IRBIN=INT(1.+20.*RBIN) IF(ISUB.EQ.96.AND.MSTP(171).EQ.0) THEN NMUL(IRBIN)=NMUL(IRBIN)+1 SIGM(IRBIN)=SIGM(IRBIN)+VINT(153) ENDIF C...Choose impact parameter. ELSEIF(MMUL.EQ.5) THEN IF(MSTP(82).EQ.3) THEN VINT(148)=RLU(0)/(PARU(2)*VINT(147)) ELSE RTYPE=RLU(0) CQ2=PARP(84)**2 IF(RTYPE.LT.(1.-PARP(83))**2) THEN B2=-LOG(RLU(0)) ELSEIF(RTYPE.LT.1.-PARP(83)**2) THEN B2=-0.5*(1.+CQ2)*LOG(RLU(0)) ELSE B2=-CQ2*LOG(RLU(0)) ENDIF VINT(148)=((1.-PARP(83))**2*EXP(-MIN(50.,B2))+2.*PARP(83)* & (1.-PARP(83))*2./(1.+CQ2)*EXP(-MIN(50.,B2*2./(1.+CQ2)))+ & PARP(83)**2/CQ2*EXP(-MIN(50.,B2/CQ2)))/(PARU(2)*VINT(147)) ENDIF C...Multiple interactions (variable impact parameter) : reject with C...probability exp(-overlap*cross-section above pT/normalization). RNCOR=(IRBIN-20.*RBIN)*NMUL(IRBIN) SIGCOR=(IRBIN-20.*RBIN)*SIGM(IRBIN) DO 150 IBIN=IRBIN+1,20 RNCOR=RNCOR+NMUL(IBIN) SIGCOR=SIGCOR+SIGM(IBIN) 150 CONTINUE SIGABV=(SIGCOR/RNCOR)*VINT(149)*(1.-XTS)/(XTS+VINT(149)) IF(MSTP(171).EQ.1) SIGABV=SIGABV*VINT(2)/VINT(289) VINT(150)=EXP(-MIN(50.,VINT(146)*VINT(148)* & SIGABV/SIGT(0,0,5))) C...Generate additional multiple semihard interactions. ELSEIF(MMUL.EQ.6) THEN ISUBSV=MINT(1) DO 160 J=11,80 VINTSV(J)=VINT(J) 160 CONTINUE ISUB=96 MINT(1)=96 C...Reconstruct strings in hard scattering. NMAX=MINT(84)+4 IF(ISET(ISUBSV).EQ.1) NMAX=MINT(84)+2 IF(ISET(ISUBSV).EQ.11) NMAX=MINT(84)+2+MINT(3) NSTR=0 DO 180 I=MINT(84)+1,NMAX KCS=KCHG(LUCOMP(K(I,2)),2)*ISIGN(1,K(I,2)) IF(KCS.EQ.0) GOTO 180 DO 170 J=1,4 IF(KCS.EQ.1.AND.(J.EQ.2.OR.J.EQ.4)) GOTO 170 IF(KCS.EQ.-1.AND.(J.EQ.1.OR.J.EQ.3)) GOTO 170 IF(J.LE.2) THEN IST=MOD(K(I,J+3)/MSTU(5),MSTU(5)) ELSE IST=MOD(K(I,J+1),MSTU(5)) ENDIF IF(IST.LT.MINT(84).OR.IST.GT.I) GOTO 170 IF(KCHG(LUCOMP(K(IST,2)),2).EQ.0) GOTO 170 NSTR=NSTR+1 IF(J.EQ.1.OR.J.EQ.4) THEN KSTR(NSTR,1)=I KSTR(NSTR,2)=IST ELSE KSTR(NSTR,1)=IST KSTR(NSTR,2)=I ENDIF 170 CONTINUE 180 CONTINUE C...Set up starting values for iteration in xT2. XT2=VINT(25) IF(ISET(ISUBSV).EQ.1) XT2=VINT(21) IF(ISET(ISUBSV).EQ.2.OR.ISET(ISUBSV).EQ.6) & XT2=(4.*VINT(48)+2.*VINT(63)+2.*VINT(64))/VINT(2) IF(ISET(ISUBSV).GE.3.AND.ISET(ISUBSV).LE.5) XT2=VINT(26) IF(MSTP(82).LE.1) THEN XT2FAC=XSEC(ISUB,1)*VINT(149)/((1.-VINT(149))*SIGT(0,0,5)) ELSE XT2FAC=VINT(146)*VINT(148)*XSEC(ISUB,1)/SIGT(0,0,5)* & VINT(149)*(1.+VINT(149)) ENDIF VINT(63)=0. VINT(64)=0. VINT(143)=1.-VINT(141) VINT(144)=1.-VINT(142) C...Iterate downwards in xT2. 190 IF(MSTP(82).LE.1) THEN XT2=XT2FAC*XT2/(XT2FAC-XT2*LOG(RLU(0))) IF(XT2.LT.VINT(149)) GOTO 240 ELSE IF(XT2.LE.0.01*VINT(149)) GOTO 240 XT2=XT2FAC*(XT2+VINT(149))/(XT2FAC-(XT2+VINT(149))* & LOG(RLU(0)))-VINT(149) IF(XT2.LE.0.) GOTO 240 XT2=MAX(0.01*VINT(149),XT2) ENDIF VINT(25)=XT2 C...Choose tau and y*. Calculate cos(theta-hat). IF(RLU(0).LE.COEF(ISUB,1)) THEN TAUT=(2.*(1.+SQRT(1.-XT2))/XT2-1.)**RLU(0) TAU=XT2*(1.+TAUT)**2/(4.*TAUT) ELSE TAU=XT2*(1.+TAN(RLU(0)*ATAN(SQRT(1./XT2-1.)))**2) ENDIF VINT(21)=TAU CALL PYKLIM(2) RYST=RLU(0) MYST=1 IF(RYST.GT.COEF(ISUB,8)) MYST=2 IF(RYST.GT.COEF(ISUB,8)+COEF(ISUB,9)) MYST=3 CALL PYKMAP(2,MYST,RLU(0)) VINT(23)=SQRT(MAX(0.,1.-XT2/TAU))*(-1)**INT(1.5+RLU(0)) C...Check that x not used up. Accept or reject kinematical variables. X1M=SQRT(TAU)*EXP(VINT(22)) X2M=SQRT(TAU)*EXP(-VINT(22)) IF(VINT(143)-X1M.LT.0.01.OR.VINT(144)-X2M.LT.0.01) GOTO 190 VINT(71)=0.5*VINT(1)*SQRT(XT2) CALL PYSIGH(NCHN,SIGS) IF(SIGS.LT.XSEC(ISUB,1)*RLU(0)) GOTO 190 C...Reset K, P and V vectors. Select some variables. DO 210 I=N+1,N+2 DO 200 J=1,5 K(I,J)=0 P(I,J)=0. V(I,J)=0. 200 CONTINUE 210 CONTINUE RFLAV=RLU(0) PT=0.5*VINT(1)*SQRT(XT2) PHI=PARU(2)*RLU(0) CTH=VINT(23) C...Add first parton to event record. K(N+1,1)=3 K(N+1,2)=21 IF(RFLAV.GE.MAX(PARP(85),PARP(86))) K(N+1,2)= & 1+INT((2.+PARJ(2))*RLU(0)) P(N+1,1)=PT*COS(PHI) P(N+1,2)=PT*SIN(PHI) P(N+1,3)=0.25*VINT(1)*(VINT(41)*(1.+CTH)-VINT(42)*(1.-CTH)) P(N+1,4)=0.25*VINT(1)*(VINT(41)*(1.+CTH)+VINT(42)*(1.-CTH)) P(N+1,5)=0. C...Add second parton to event record. K(N+2,1)=3 K(N+2,2)=21 IF(K(N+1,2).NE.21) K(N+2,2)=-K(N+1,2) P(N+2,1)=-P(N+1,1) P(N+2,2)=-P(N+1,2) P(N+2,3)=0.25*VINT(1)*(VINT(41)*(1.-CTH)-VINT(42)*(1.+CTH)) P(N+2,4)=0.25*VINT(1)*(VINT(41)*(1.-CTH)+VINT(42)*(1.+CTH)) P(N+2,5)=0. IF(RFLAV.LT.PARP(85).AND.NSTR.GE.1) THEN C....Choose relevant string pieces to place gluons on. DO 230 I=N+1,N+2 DMIN=1E8 DO 220 ISTR=1,NSTR I1=KSTR(ISTR,1) I2=KSTR(ISTR,2) DIST=(P(I,4)*P(I1,4)-P(I,1)*P(I1,1)-P(I,2)*P(I1,2)- & P(I,3)*P(I1,3))*(P(I,4)*P(I2,4)-P(I,1)*P(I2,1)- & P(I,2)*P(I2,2)-P(I,3)*P(I2,3))/MAX(1.,P(I1,4)*P(I2,4)- & P(I1,1)*P(I2,1)-P(I1,2)*P(I2,2)-P(I1,3)*P(I2,3)) IF(ISTR.EQ.1.OR.DIST.LT.DMIN) THEN DMIN=DIST IST1=I1 IST2=I2 ISTM=ISTR ENDIF 220 CONTINUE C....Colour flow adjustments, new string pieces. IF(K(IST1,4)/MSTU(5).EQ.IST2) K(IST1,4)=MSTU(5)*I+ & MOD(K(IST1,4),MSTU(5)) IF(MOD(K(IST1,5),MSTU(5)).EQ.IST2) K(IST1,5)= & MSTU(5)*(K(IST1,5)/MSTU(5))+I K(I,5)=MSTU(5)*IST1 K(I,4)=MSTU(5)*IST2 IF(K(IST2,5)/MSTU(5).EQ.IST1) K(IST2,5)=MSTU(5)*I+ & MOD(K(IST2,5),MSTU(5)) IF(MOD(K(IST2,4),MSTU(5)).EQ.IST1) K(IST2,4)= & MSTU(5)*(K(IST2,4)/MSTU(5))+I KSTR(ISTM,2)=I KSTR(NSTR+1,1)=I KSTR(NSTR+1,2)=IST2 NSTR=NSTR+1 230 CONTINUE C...String drawing and colour flow for gluon loop. ELSEIF(K(N+1,2).EQ.21) THEN K(N+1,4)=MSTU(5)*(N+2) K(N+1,5)=MSTU(5)*(N+2) K(N+2,4)=MSTU(5)*(N+1) K(N+2,5)=MSTU(5)*(N+1) KSTR(NSTR+1,1)=N+1 KSTR(NSTR+1,2)=N+2 KSTR(NSTR+2,1)=N+2 KSTR(NSTR+2,2)=N+1 NSTR=NSTR+2 C...String drawing and colour flow for qq~ pair. ELSE K(N+1,4)=MSTU(5)*(N+2) K(N+2,5)=MSTU(5)*(N+1) KSTR(NSTR+1,1)=N+1 KSTR(NSTR+1,2)=N+2 NSTR=NSTR+1 ENDIF C...Update remaining energy; iterate. N=N+2 IF(N.GT.MSTU(4)-MSTU(32)-10) THEN CALL LUERRM(11,'(PYMULT:) no more memory left in LUJETS') IF(MSTU(21).GE.1) RETURN ENDIF MINT(31)=MINT(31)+1 VINT(151)=VINT(151)+VINT(41) VINT(152)=VINT(152)+VINT(42) VINT(143)=VINT(143)-VINT(41) VINT(144)=VINT(144)-VINT(42) IF(MINT(31).LT.240) GOTO 190 240 CONTINUE MINT(1)=ISUBSV DO 250 J=11,80 VINT(J)=VINTSV(J) 250 CONTINUE ENDIF C...Format statements for printout. 5000 FORMAT(/1X,'****** PYMULT: initialization of multiple inter', &'actions for MSTP(82) =',I2,' ******') 5100 FORMAT(8X,'pT0 =',F5.2,' GeV gives sigma(parton-parton) =',1P, &E9.2,' mb: rejected') 5200 FORMAT(8X,'pT0 =',F5.2,' GeV gives sigma(parton-parton) =',1P, &E9.2,' mb: accepted') RETURN END C********************************************************************* SUBROUTINE PYREMN(IPU1,IPU2) C...Adds on target remnants (one or two from each side) and C...includes primordial kT for hadron beams. IMPLICIT DOUBLE PRECISION(D) COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/ DIMENSION KFLCH(2),KFLSP(2),CHI(2),PMS(0:6),IS(2),ISN(2),ROBO(5), &PSYS(0:2,5),PMIN(0:2),QOLD(4),QNEW(4),DBE(3),PSUM(4) C...Find event type and remaining energy. ISUB=MINT(1) NS=N IF(MINT(50).EQ.0.OR.MSTP(81).LE.0) THEN VINT(143)=1.-VINT(141) VINT(144)=1.-VINT(142) ENDIF C...Define initial partons. NTRY=0 100 NTRY=NTRY+1 DO 130 JT=1,2 I=MINT(83)+JT+2 IF(JT.EQ.1) IPU=IPU1 IF(JT.EQ.2) IPU=IPU2 K(I,1)=21 K(I,2)=K(IPU,2) K(I,3)=I-2 PMS(JT)=0. VINT(156+JT)=0. VINT(158+JT)=0. IF(MINT(47).EQ.1) THEN DO 110 J=1,5 P(I,J)=P(I-2,J) 110 CONTINUE ELSEIF(ISUB.EQ.95) THEN K(I,2)=21 ELSE P(I,5)=P(IPU,5) C...No primordial kT, or chosen according to truncated Gaussian or C...exponential, or (for photon) predetermined or power law. 120 IF(MINT(40+JT).EQ.2.AND.MINT(10+JT).NE.22) THEN IF(MSTP(91).LE.0) THEN PT=0. ELSEIF(MSTP(91).EQ.1) THEN PT=PARP(91)*SQRT(-LOG(RLU(0))) ELSE RPT1=RLU(0) RPT2=RLU(0) PT=-PARP(92)*LOG(RPT1*RPT2) ENDIF IF(PT.GT.PARP(93)) GOTO 120 ELSEIF(MINT(10+JT).EQ.22.AND.MSTP(14).EQ.3) THEN PT=SQRT(VINT(282)) IF(NTRY.GT.10) PT=PT*0.8**(NTRY-10) ELSEIF(IABS(MINT(14+JT)).LE.8.OR.MINT(14+JT).EQ.21) THEN IF(MSTP(93).LE.0) THEN PT=0. ELSEIF(MSTP(93).EQ.1) THEN PT=PARP(99)*SQRT(-LOG(RLU(0))) ELSEIF(MSTP(93).EQ.2) THEN RPT1=RLU(0) RPT2=RLU(0) PT=-PARP(99)*LOG(RPT1*RPT2) ELSEIF(MSTP(93).EQ.3) THEN HA=PARP(99)**2 HB=PARP(100)**2 PT=SQRT(MAX(0.,HA*(HA+HB)/(HA+HB-RLU(0)*HB)-HA)) ELSE HA=PARP(99)**2 HB=PARP(100)**2 IF(MSTP(93).EQ.5) HB=MIN(VINT(48),PARP(100)**2) PT=SQRT(MAX(0.,HA*((HA+HB)/HA)**RLU(0)-HA)) ENDIF IF(PT.GT.PARP(100)) GOTO 120 ELSE PT=0. ENDIF VINT(156+JT)=PT PHI=PARU(2)*RLU(0) P(I,1)=PT*COS(PHI) P(I,2)=PT*SIN(PHI) PMS(JT)=P(I,5)**2+P(I,1)**2+P(I,2)**2 ENDIF 130 CONTINUE IF(MINT(47).EQ.1) RETURN C...Kinematics construction for initial partons. I1=MINT(83)+3 I2=MINT(83)+4 IF(ISUB.EQ.95) THEN SHS=0. SHR=0. ELSE SHS=VINT(141)*VINT(142)*VINT(2)+(P(I1,1)+P(I2,1))**2+ & (P(I1,2)+P(I2,2))**2 SHR=SQRT(MAX(0.,SHS)) IF((SHS-PMS(1)-PMS(2))**2-4.*PMS(1)*PMS(2).LE.0.) GOTO 100 P(I1,4)=0.5*(SHR+(PMS(1)-PMS(2))/SHR) P(I1,3)=SQRT(MAX(0.,P(I1,4)**2-PMS(1))) P(I2,4)=SHR-P(I1,4) P(I2,3)=-P(I1,3) C...Transform partons to overall CM-frame. ROBO(3)=(P(I1,1)+P(I2,1))/SHR ROBO(4)=(P(I1,2)+P(I2,2))/SHR CALL LUDBRB(I1,I2,0.,0.,-DBLE(ROBO(3)),-DBLE(ROBO(4)),0D0) ROBO(2)=ULANGL(P(I1,1),P(I1,2)) CALL LUDBRB(I1,I2,0.,-ROBO(2),0D0,0D0,0D0) ROBO(1)=ULANGL(P(I1,3),P(I1,1)) CALL LUDBRB(I1,I2,-ROBO(1),0.,0D0,0D0,0D0) CALL LUDBRB(I1,MINT(52),ROBO(1),ROBO(2),DBLE(ROBO(3)), & DBLE(ROBO(4)),0D0) ROBO(5)=MAX(-0.999999,MIN(0.999999,(VINT(141)-VINT(142))/ & (VINT(141)+VINT(142)))) CALL LUDBRB(I1,MINT(52),0.,0.,0D0,0D0,DBLE(ROBO(5))) ENDIF C...Optionally fix up x and Q2 definitions for leptoproduction. IF(MSTP(23).GE.1.AND.(MINT(43).EQ.2.OR.MINT(43).EQ.3).AND. &(ISUB.EQ.10.OR.ISUB.EQ.83)) THEN C...Find where incoming and outgoing leptons/partons are sitting. LESD=1 IF(MINT(42).EQ.1) LESD=2 LPIN=MINT(83)+3-LESD LEIN=MINT(84)+LESD LQIN=MINT(84)+3-LESD LEOUT=MINT(84)+2+LESD LQOUT=MINT(84)+5-LESD IF(K(LEIN,3).GT.LEIN) LEIN=K(LEIN,3) IF(K(LQIN,3).GT.LQIN) LQIN=K(LQIN,3) LSCMS=0 DO 140 I=MINT(84)+5,N IF(K(I,2).EQ.94) THEN LSCMS=I LEOUT=I+LESD LQOUT=I+3-LESD ENDIF 140 CONTINUE LQBG=IPU1 IF(LESD.EQ.1) LQBG=IPU2 C...Calculate actual and wanted momentum transfer. XNOM=VINT(43-LESD) Q2NOM=-VINT(45) HPK=2.*(P(LPIN,4)*P(LEIN,4)-P(LPIN,1)*P(LEIN,1)- & P(LPIN,2)*P(LEIN,2)-P(LPIN,3)*P(LEIN,3))* & (P(MINT(83)+LESD,4)*VINT(40+LESD)/P(LEIN,4)) HPT2=MAX(0.,Q2NOM*(1.-Q2NOM/(XNOM*HPK))) FAC=SQRT(HPT2/(P(LEOUT,1)**2+P(LEOUT,2)**2)) P(N+1,1)=FAC*P(LEOUT,1) P(N+1,2)=FAC*P(LEOUT,2) P(N+1,3)=0.25*((HPK-Q2NOM/XNOM)/P(LPIN,4)- & Q2NOM/(P(MINT(83)+LESD,4)*VINT(40+LESD)))*(-1)**(LESD+1) P(N+1,4)=SQRT(P(LEOUT,5)**2+P(N+1,1)**2+P(N+1,2)**2+ & P(N+1,3)**2) DO 150 J=1,4 QOLD(J)=P(LEIN,J)-P(LEOUT,J) QNEW(J)=P(LEIN,J)-P(N+1,J) 150 CONTINUE C...Boost outgoing electron and daughters. IF(LSCMS.EQ.0) THEN DO 160 J=1,4 P(LEOUT,J)=P(N+1,J) 160 CONTINUE ELSE DO 170 J=1,3 P(N+2,J)=(P(N+1,J)-P(LEOUT,J))/(P(N+1,4)+P(LEOUT,4)) 170 CONTINUE PINV=2./(1.+P(N+2,1)**2+P(N+2,2)**2+P(N+2,3)**2) DO 180 J=1,3 DBE(J)=PINV*P(N+2,J) 180 CONTINUE DO 200 I=LSCMS+1,N IORIG=I 190 IORIG=K(IORIG,3) IF(IORIG.GT.LEOUT) GOTO 190 IF(I.EQ.LEOUT.OR.IORIG.EQ.LEOUT) & CALL LUDBRB(I,I,0.,0.,DBE(1),DBE(2),DBE(3)) 200 CONTINUE ENDIF C...Copy shower initiator and all outgoing partons. NCOP=N+1 K(NCOP,3)=LQBG DO 210 J=1,5 P(NCOP,J)=P(LQBG,J) 210 CONTINUE DO 240 I=MINT(84)+1,N ICOP=0 IF(K(I,1).GT.10) GOTO 240 IF(I.EQ.LQBG.OR.I.EQ.LQOUT) THEN ICOP=I ELSE IORIG=I 220 IORIG=K(IORIG,3) IF(IORIG.EQ.LQBG.OR.IORIG.EQ.LQOUT) THEN ICOP=IORIG ELSEIF(IORIG.GT.MINT(84).AND.IORIG.LE.N) THEN GOTO 220 ENDIF ENDIF IF(ICOP.NE.0) THEN NCOP=NCOP+1 K(NCOP,3)=I DO 230 J=1,5 P(NCOP,J)=P(I,J) 230 CONTINUE ENDIF 240 CONTINUE C...Calculate relative rescaling factors. SLC=3-2*LESD PLCSUM=0. DO 250 I=N+2,NCOP PLCSUM=PLCSUM+(P(I,4)+SLC*P(I,3)) 250 CONTINUE DO 260 I=N+2,NCOP V(I,1)=(P(I,4)+SLC*P(I,3))/PLCSUM 260 CONTINUE C...Transfer extra three-momentum of current. DO 280 I=N+2,NCOP DO 270 J=1,3 P(I,J)=P(I,J)+V(I,1)*(QNEW(J)-QOLD(J)) 270 CONTINUE P(I,4)=SQRT(P(I,5)**2+P(I,1)**2+P(I,2)**2+P(I,3)**2) 280 CONTINUE C...Iterate change of initiator momentum to get energy right. ITER=0 290 ITER=ITER+1 PEEX=-P(N+1,4)-QNEW(4) PEMV=-P(N+1,3)/P(N+1,4) DO 300 I=N+2,NCOP PEEX=PEEX+P(I,4) PEMV=PEMV+V(I,1)*P(I,3)/P(I,4) 300 CONTINUE IF(ABS(PEMV).LT.1E-10) THEN MINT(51)=1 MINT(57)=MINT(57)+1 RETURN ENDIF PZCH=-PEEX/PEMV P(N+1,3)=P(N+1,3)+PZCH P(N+1,4)=SQRT(P(N+1,5)**2+P(N+1,1)**2+P(N+1,2)**2+P(N+1,3)**2) DO 310 I=N+2,NCOP P(I,3)=P(I,3)+V(I,1)*PZCH P(I,4)=SQRT(P(I,5)**2+P(I,1)**2+P(I,2)**2+P(I,3)**2) 310 CONTINUE IF(ITER.LT.10.AND.ABS(PEEX).GT.1E-6*P(N+1,4)) GOTO 290 C...Modify momenta in event record. HBE=2.*(P(N+1,4)+P(LQBG,4))*(P(N+1,3)-P(LQBG,3))/ & ((P(N+1,4)+P(LQBG,4))**2+(P(N+1,3)-P(LQBG,3))**2) IF(ABS(HBE).GT.0.999999) THEN MINT(51)=1 MINT(57)=MINT(57)+1 RETURN ENDIF I=MINT(83)+5-LESD CALL LUDBRB(I,I,0.,0.,0D0,0D0,DBLE(HBE)) DO 330 I=N+1,NCOP ICOP=K(I,3) DO 320 J=1,4 P(ICOP,J)=P(I,J) 320 CONTINUE 330 CONTINUE ENDIF C...Check minimum invariant mass of remnant system(s). PSYS(0,4)=P(I1,4)+P(I2,4)+0.5*VINT(1)*(VINT(151)+VINT(152)) PSYS(0,3)=P(I1,3)+P(I2,3)+0.5*VINT(1)*(VINT(151)-VINT(152)) PMS(0)=MAX(0.,PSYS(0,4)**2-PSYS(0,3)**2) PMIN(0)=SQRT(PMS(0)) DO 340 JT=1,2 PSYS(JT,4)=0.5*VINT(1)*VINT(142+JT) PMIN(JT)=0. IF(MINT(44+JT).EQ.1) GOTO 340 CALL PYSPLI(MINT(10+JT),MINT(12+JT),KFLCH(JT),KFLSP(JT)) IF(KFLCH(JT).NE.0) PMIN(JT)=PMIN(JT)+ULMASS(KFLCH(JT)) IF(KFLSP(JT).NE.0) PMIN(JT)=PMIN(JT)+ULMASS(KFLSP(JT)) IF(KFLCH(JT)*KFLSP(JT).NE.0) PMIN(JT)=PMIN(JT)+0.5*PARP(111) PMIN(JT)=SQRT(PMIN(JT)**2+P(MINT(83)+JT+2,1)**2+ &P(MINT(83)+JT+2,2)**2) 340 CONTINUE IF(PMIN(0)+PMIN(1)+PMIN(2).GT.VINT(1).OR.(MINT(45).GE.2.AND. &PMIN(1).GT.PSYS(1,4)).OR.(MINT(46).GE.2.AND.PMIN(2).GT. &PSYS(2,4))) THEN MINT(51)=1 MINT(57)=MINT(57)+1 RETURN ENDIF C...Loop over two remnants; skip if none there. I=NS DO 400 JT=1,2 ISN(JT)=0 IF(MINT(44+JT).EQ.1) GOTO 400 IF(JT.EQ.1) IPU=IPU1 IF(JT.EQ.2) IPU=IPU2 C...Store first remnant parton. I=I+1 IS(JT)=I ISN(JT)=1 DO 350 J=1,5 K(I,J)=0 P(I,J)=0. V(I,J)=0. 350 CONTINUE K(I,1)=1 K(I,2)=KFLSP(JT) K(I,3)=MINT(83)+JT P(I,5)=ULMASS(K(I,2)) C...First parton colour connections and kinematics. KCOL=KCHG(LUCOMP(KFLSP(JT)),2) IF(KCOL.EQ.2) THEN K(I,1)=3 K(I,4)=MSTU(5)*IPU+IPU K(I,5)=MSTU(5)*IPU+IPU K(IPU,4)=MOD(K(IPU,4),MSTU(5))+MSTU(5)*I K(IPU,5)=MOD(K(IPU,5),MSTU(5))+MSTU(5)*I ELSEIF(KCOL.NE.0) THEN K(I,1)=3 KFLS=(3-KCOL*ISIGN(1,KFLSP(JT)))/2 K(I,KFLS+3)=IPU K(IPU,6-KFLS)=MOD(K(IPU,6-KFLS),MSTU(5))+MSTU(5)*I ENDIF IF(KFLCH(JT).EQ.0) THEN P(I,1)=-P(MINT(83)+JT+2,1) P(I,2)=-P(MINT(83)+JT+2,2) PMS(JT)=P(I,5)**2+P(I,1)**2+P(I,2)**2 PSYS(JT,3)=SQRT(MAX(0.,PSYS(JT,4)**2-PMS(JT)))*(-1)**(JT-1) P(I,3)=PSYS(JT,3) P(I,4)=PSYS(JT,4) C...When extra remnant parton or hadron: store extra remnant. ELSE I=I+1 ISN(JT)=2 DO 360 J=1,5 K(I,J)=0 P(I,J)=0. V(I,J)=0. 360 CONTINUE K(I,1)=1 K(I,2)=KFLCH(JT) K(I,3)=MINT(83)+JT P(I,5)=ULMASS(K(I,2)) C...Find parton colour connections of extra remnant. KCOL=KCHG(LUCOMP(KFLCH(JT)),2) IF(KCOL.EQ.2) THEN K(I,1)=3 K(I,4)=MSTU(5)*IPU+IPU K(I,5)=MSTU(5)*IPU+IPU K(IPU,4)=MOD(K(IPU,4),MSTU(5))+MSTU(5)*I K(IPU,5)=MOD(K(IPU,5),MSTU(5))+MSTU(5)*I ELSEIF(KCOL.NE.0) THEN K(I,1)=3 KFLS=(3-KCOL*ISIGN(1,KFLCH(JT)))/2 K(I,KFLS+3)=IPU K(IPU,6-KFLS)=MOD(K(IPU,6-KFLS),MSTU(5))+MSTU(5)*I ENDIF C...Relative transverse momentum when two remnants. LOOP=0 370 LOOP=LOOP+1 CALL LUPTDI(1,P(I-1,1),P(I-1,2)) IF(IABS(MINT(10+JT)).LT.20) THEN P(I-1,1)=0. P(I-1,2)=0. ENDIF PMS(JT+2)=P(I-1,5)**2+P(I-1,1)**2+P(I-1,2)**2 P(I,1)=-P(MINT(83)+JT+2,1)-P(I-1,1) P(I,2)=-P(MINT(83)+JT+2,2)-P(I-1,2) PMS(JT+4)=P(I,5)**2+P(I,1)**2+P(I,2)**2 C...Meson or baryon; photon as meson. For splitup below. IMB=1 IF(MOD(MINT(10+JT)/1000,10).NE.0) IMB=2 C***Relative distribution for electron into two electrons. Temporary! IF(IABS(MINT(10+JT)).LT.20.AND.MINT(14+JT).EQ.-MINT(10+JT)) & THEN CHI(JT)=RLU(0) C...Relative distribution of electron energy into electron plus parton. ELSEIF(IABS(MINT(10+JT)).LT.20) THEN XHRD=VINT(140+JT) XE=VINT(154+JT) CHI(JT)=(XE-XHRD)/(1.-XHRD) C...Relative distribution of energy for particle into two jets. ELSEIF(IABS(KFLCH(JT)).LE.10.OR.KFLCH(JT).EQ.21) THEN CHIK=PARP(92+2*IMB) IF(MSTP(92).LE.1) THEN IF(IMB.EQ.1) CHI(JT)=RLU(0) IF(IMB.EQ.2) CHI(JT)=1.-SQRT(RLU(0)) ELSEIF(MSTP(92).EQ.2) THEN CHI(JT)=1.-RLU(0)**(1./(1.+CHIK)) ELSEIF(MSTP(92).EQ.3) THEN CUT=2.*0.3/VINT(1) 380 CHI(JT)=RLU(0)**2 IF((CHI(JT)**2/(CHI(JT)**2+CUT**2))**0.25*(1.-CHI(JT))**CHIK & .LT.RLU(0)) GOTO 380 ELSE CUT=2.*0.3/VINT(1) CUTR=(1.+SQRT(1.+CUT**2))/CUT 390 CHIR=CUT*CUTR**RLU(0) CHI(JT)=(CHIR**2-CUT**2)/(2.*CHIR) IF((1.-CHI(JT))**CHIK.LT.RLU(0)) GOTO 390 ENDIF C...Relative distribution of energy for particle into jet plus particle. ELSE IF(MSTP(92).LE.1) THEN IF(IMB.EQ.1) CHI(JT)=RLU(0) IF(IMB.EQ.2) CHI(JT)=1.-SQRT(RLU(0)) ELSE CHI(JT)=1.-RLU(0)**(1./(1.+PARP(93+2*IMB))) ENDIF IF(MOD(KFLCH(JT)/1000,10).NE.0) CHI(JT)=1.-CHI(JT) ENDIF C...Construct total transverse mass; reject if too large. PMS(JT)=PMS(JT+4)/CHI(JT)+PMS(JT+2)/(1.-CHI(JT)) IF(PMS(JT).GT.PSYS(JT,4)**2) THEN IF(LOOP.LT.10) THEN GOTO 370 ELSE MINT(51)=1 MINT(57)=MINT(57)+1 RETURN ENDIF ENDIF PSYS(JT,3)=SQRT(PSYS(JT,4)**2-PMS(JT))*(-1)**(JT-1) VINT(158+JT)=CHI(JT) C...Subdivide longitudinal momentum according to value selected above. PW1=CHI(JT)*(PSYS(JT,4)+ABS(PSYS(JT,3))) P(IS(JT)+1,4)=0.5*(PW1+PMS(JT+4)/PW1) P(IS(JT)+1,3)=0.5*(PW1-PMS(JT+4)/PW1)*(-1)**(JT-1) P(IS(JT),4)=PSYS(JT,4)-P(IS(JT)+1,4) P(IS(JT),3)=PSYS(JT,3)-P(IS(JT)+1,3) ENDIF 400 CONTINUE N=I C...Check if longitudinal boosts needed - if so pick two systems. PDEV=ABS(PSYS(0,4)+PSYS(1,4)+PSYS(2,4)-VINT(1))+ &ABS(PSYS(0,3)+PSYS(1,3)+PSYS(2,3)) IF(PDEV.LE.1E-6*VINT(1)) RETURN IF(ISN(1).EQ.0) THEN IR=0 IL=2 ELSEIF(ISN(2).EQ.0) THEN IR=1 IL=0 ELSEIF(VINT(143).GT.0.2.AND.VINT(144).GT.0.2) THEN IR=1 IL=2 ELSEIF(VINT(143).GT.0.2) THEN IR=1 IL=0 ELSEIF(VINT(144).GT.0.2) THEN IR=0 IL=2 ELSEIF(PMS(1)/PSYS(1,4)**2.GT.PMS(2)/PSYS(2,4)**2) THEN IR=1 IL=0 ELSE IR=0 IL=2 ENDIF IG=3-IR-IL C...E+-pL wanted for system to be modified. IF((IG.EQ.1.AND.ISN(1).EQ.0).OR.(IG.EQ.2.AND.ISN(2).EQ.0)) THEN PPB=VINT(1) PNB=VINT(1) ELSE PPB=VINT(1)-(PSYS(IG,4)+PSYS(IG,3)) PNB=VINT(1)-(PSYS(IG,4)-PSYS(IG,3)) ENDIF C...To keep x and Q2 in leptoproduction: do not count scattered lepton. IF(MSTP(23).GE.1.AND.(MINT(43).EQ.2.OR.MINT(43).EQ.3).AND. &(ISUB.EQ.10.OR.ISUB.EQ.83).AND.IG.NE.0) THEN PMTB=PPB*PNB PMTR=PMS(IR) PMTL=PMS(IL) SQLAM=SQRT(MAX(0.,(PMTB-PMTR-PMTL)**2-4.*PMTR*PMTL)) SQSGN=SIGN(1.,PSYS(IR,3)*PSYS(IL,4)-PSYS(IL,3)*PSYS(IR,4)) RKR=(PMTB+PMTR-PMTL+SQLAM*SQSGN)/(2.*(PSYS(IR,4)+PSYS(IR,3)) & *PNB) RKL=(PMTB+PMTL-PMTR+SQLAM*SQSGN)/(2.*(PSYS(IL,4)-PSYS(IL,3)) & *PPB) BER=(RKR**2-1.)/(RKR**2+1.) BEL=-(RKL**2-1.)/(RKL**2+1.) PPB=PPB-(PSYS(0,4)+PSYS(0,3)) PNB=PNB-(PSYS(0,4)-PSYS(0,3)) DO 410 J=1,4 PSYS(0,J)=0. 410 CONTINUE DO 440 I=MINT(84)+1,NS IF(K(I,1).GT.10) GOTO 440 INCL=0 IORIG=I 420 IF(IORIG.EQ.LQOUT.OR.IORIG.EQ.LPIN+2) INCL=1 IORIG=K(IORIG,3) IF(IORIG.GT.LPIN) GOTO 420 IF(INCL.EQ.0) GOTO 440 DO 430 J=1,4 PSYS(0,J)=PSYS(0,J)+P(I,J) 430 CONTINUE 440 CONTINUE PMS(0)=MAX(0.,PSYS(0,4)**2-PSYS(0,3)**2) PPB=PPB+(PSYS(0,4)+PSYS(0,3)) PNB=PNB+(PSYS(0,4)-PSYS(0,3)) ENDIF C...Construct longitudinal boosts. PMTB=PPB*PNB PMTR=PMS(IR) PMTL=PMS(IL) SQLAM=SQRT(MAX(0.,(PMTB-PMTR-PMTL)**2-4.*PMTR*PMTL)) IF(SQLAM.LE.1E-6*PMTB) THEN MINT(51)=1 MINT(57)=MINT(57)+1 RETURN ENDIF SQSGN=SIGN(1.,PSYS(IR,3)*PSYS(IL,4)-PSYS(IL,3)*PSYS(IR,4)) RKR=(PMTB+PMTR-PMTL+SQLAM*SQSGN)/(2.*(PSYS(IR,4)+PSYS(IR,3))*PNB) RKL=(PMTB+PMTL-PMTR+SQLAM*SQSGN)/(2.*(PSYS(IL,4)-PSYS(IL,3))*PPB) BER=(RKR**2-1.)/(RKR**2+1.) BEL=-(RKL**2-1.)/(RKL**2+1.) C...Perform longitudinal boosts. IF(IR.EQ.1) THEN CALL LUDBRB(IS(1),IS(1)+ISN(1)-1,0.,0.,0D0,0D0,DBLE(BER)) ELSEIF(MSTP(23).GE.1.AND.(MINT(43).EQ.2.OR.MINT(43).EQ.3).AND. &(ISUB.EQ.10.OR.ISUB.EQ.83)) THEN DO 460 I=I1,NS INCL=0 IORIG=I 450 IF(IORIG.EQ.LQOUT.OR.IORIG.EQ.LPIN+2) INCL=1 IORIG=K(IORIG,3) IF(IORIG.GT.LPIN) GOTO 450 IF(INCL.EQ.1) CALL LUDBRB(I,I,0.,0.,0D0,0D0,DBLE(BER)) 460 CONTINUE ELSE CALL LUDBRB(I1,NS,0.,0.,0D0,0D0,DBLE(BER)) ENDIF IF(IL.EQ.2) THEN CALL LUDBRB(IS(2),IS(2)+ISN(2)-1,0.,0.,0D0,0D0,DBLE(BEL)) ELSEIF(MSTP(23).GE.1.AND.(MINT(43).EQ.2.OR.MINT(43).EQ.3).AND. &(ISUB.EQ.10.OR.ISUB.EQ.83)) THEN DO 480 I=I1,NS INCL=0 IORIG=I 470 IF(IORIG.EQ.LQOUT.OR.IORIG.EQ.LPIN+2) INCL=1 IORIG=K(IORIG,3) IF(IORIG.GT.LPIN) GOTO 470 IF(INCL.EQ.1) CALL LUDBRB(I,I,0.,0.,0D0,0D0,DBLE(BEL)) 480 CONTINUE ELSE CALL LUDBRB(I1,NS,0.,0.,0D0,0D0,DBLE(BEL)) ENDIF C...Final check that energy-momentum conservation worked. PESUM=0. PZSUM=0. DO 490 I=MINT(84)+1,N IF(K(I,1).GT.10) GOTO 490 PESUM=PESUM+P(I,4) PZSUM=PZSUM+P(I,3) 490 CONTINUE PDEV=ABS(PESUM-VINT(1))+ABS(PZSUM) IF(PDEV.GT.1E-4*VINT(1)) MINT(51)=1 C...Calculate rotation and boost from overall CM frame to C...hadronic CM frame in leptoproduction. MINT(91)=0 IF(MINT(82).EQ.1.AND.(MINT(43).EQ.2.OR.MINT(43).EQ.3)) THEN MINT(91)=1 LESD=1 IF(MINT(42).EQ.1) LESD=2 LPIN=MINT(83)+3-LESD C...Sum upp momenta of everything not lepton or photon to define boost. DO 500 J=1,4 PSUM(J)=0. 500 CONTINUE DO 520 I=1,N IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 520 IF(IABS(K(I,2)).GE.11.AND.IABS(K(I,2)).LE.20) GOTO 520 IF(K(I,2).EQ.22) GOTO 520 DO 510 J=1,4 PSUM(J)=PSUM(J)+P(I,J) 510 CONTINUE 520 CONTINUE VINT(223)=-PSUM(1)/PSUM(4) VINT(224)=-PSUM(2)/PSUM(4) VINT(225)=-PSUM(3)/PSUM(4) C...Boost incoming hadron to hadronic CM frame to determine rotations. K(N+1,1)=1 DO 530 J=1,5 P(N+1,J)=P(LPIN,J) V(N+1,J)=V(LPIN,J) 530 CONTINUE CALL LUDBRB(N+1,N+1,0.,0.,DBLE(VINT(223)),DBLE(VINT(224)), & DBLE(VINT(225))) VINT(222)=-ULANGL(P(N+1,1),P(N+1,2)) CALL LUDBRB(N+1,N+1,0.,VINT(222),0D0,0D0,0D0) IF(LESD.EQ.2) THEN VINT(221)=-ULANGL(P(N+1,3),P(N+1,1)) ELSE VINT(221)=ULANGL(-P(N+1,3),P(N+1,1)) ENDIF ENDIF RETURN END C********************************************************************* SUBROUTINE PYDIFF C...Handles diffractive and elastic scattering. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUJETS/,/LUDAT1/ SAVE /PYPARS/,/PYINT1/ DOUBLE PRECISION DBETAZ C...Reset K, P and V vectors. Store incoming particles. DO 110 JT=1,MSTP(126)+10 I=MINT(83)+JT DO 100 J=1,5 K(I,J)=0 P(I,J)=0. V(I,J)=0. 100 CONTINUE 110 CONTINUE N=MINT(84) MINT(3)=0 MINT(21)=0 MINT(22)=0 MINT(23)=0 MINT(24)=0 MINT(4)=4 DO 130 JT=1,2 I=MINT(83)+JT K(I,1)=21 K(I,2)=MINT(10+JT) DO 120 J=1,5 P(I,J)=VINT(285+5*JT+J) 120 CONTINUE 130 CONTINUE MINT(6)=2 C...Subprocess; kinematics. SQLAM=(VINT(2)-VINT(63)-VINT(64))**2-4.*VINT(63)*VINT(64) PZ=SQRT(SQLAM)/(2.*VINT(1)) DO 190 JT=1,2 I=MINT(83)+JT PE=(VINT(2)+VINT(62+JT)-VINT(65-JT))/(2.*VINT(1)) KFH=MINT(102+JT) C...Elastically scattered particle. IF(MINT(16+JT).LE.0) THEN N=N+1 K(N,1)=1 K(N,2)=KFH K(N,3)=I+2 P(N,3)=PZ*(-1)**(JT+1) P(N,4)=PE P(N,5)=SQRT(VINT(62+JT)) C...Decay rho from elastic scattering of gamma with sin**2(theta) C...distribution of decay products (in rho rest frame). IF(KFH.EQ.113.AND.MINT(10+JT).EQ.22.AND.MSTP(102).EQ.1) THEN NSAV=N DBETAZ=DBLE(P(N,3))/SQRT(DBLE(P(N,3))**2+DBLE(P(N,5))**2) P(N,3)=0. P(N,4)=P(N,5) CALL LUDECY(NSAV) IF(N.EQ.NSAV+2.AND.IABS(K(NSAV+1,2)).EQ.211) THEN PHI=ULANGL(P(NSAV+1,1),P(NSAV+1,2)) CALL LUDBRB(NSAV+1,NSAV+2,0.,-PHI,0D0,0D0,0D0) THE=ULANGL(P(NSAV+1,3),P(NSAV+1,1)) CALL LUDBRB(NSAV+1,NSAV+2,-THE,0.,0D0,0D0,0D0) 140 CTHE=2.*RLU(0)-1. IF(1.-CTHE**2.LT.RLU(0)) GOTO 140 CALL LUDBRB(NSAV+1,NSAV+2,ACOS(CTHE),PHI,0D0,0D0,0D0) ENDIF CALL LUDBRB(NSAV,NSAV+2,0.,0.,0D0,0D0,DBETAZ) ENDIF C...Diffracted particle: low-mass system to two particles. ELSEIF(VINT(62+JT).LT.(VINT(66+JT)+PARP(103))**2) THEN N=N+2 K(N-1,1)=1 K(N,1)=1 K(N-1,3)=I+2 K(N,3)=I+2 PMMAS=SQRT(VINT(62+JT)) NTRY=0 150 NTRY=NTRY+1 IF(NTRY.LT.20) THEN CALL PYSPLI(KFH,21,KFL1,KFL2) CALL LUKFDI(KFL1,0,KFL3,KF1) IF(KF1.EQ.0) GOTO 150 CALL LUKFDI(KFL2,-KFL3,KFLDUM,KF2) IF(KF2.EQ.0) GOTO 150 ELSE KF1=KFH KF2=111 ENDIF PM1=ULMASS(KF1) PM2=ULMASS(KF2) IF(PM1+PM2+PARJ(64).GT.PMMAS) GOTO 150 K(N-1,2)=KF1 K(N,2)=KF2 P(N-1,5)=PM1 P(N,5)=PM2 PZP=SQRT(MAX(0.,(PMMAS**2-PM1**2-PM2**2)**2-4.*PM1**2*PM2**2))/ & (2.*PMMAS) P(N-1,3)=PZP P(N,3)=-PZP P(N-1,4)=SQRT(PM1**2+PZP**2) P(N,4)=SQRT(PM2**2+PZP**2) CALL LUDBRB(N-1,N,ACOS(2.*RLU(0)-1.),PARU(2)*RLU(0),0D0,0D0,0D0) DBETAZ=DBLE(PZ)*(-1)**(JT+1)/SQRT(DBLE(PZ)**2+DBLE(PMMAS)**2) CALL LUDBRB(N-1,N,0.,0.,0D0,0D0,DBETAZ) C...Diffracted particle: valence quark kicked out. ELSEIF(MSTP(101).EQ.1.OR.(MSTP(101).EQ.3.AND.RLU(0).LT.PARP(101))) &THEN N=N+2 K(N-1,1)=2 K(N,1)=1 K(N-1,3)=I+2 K(N,3)=I+2 CALL PYSPLI(KFH,21,K(N,2),K(N-1,2)) P(N-1,5)=ULMASS(K(N-1,2)) P(N,5)=ULMASS(K(N,2)) SQLAM=(VINT(62+JT)-P(N-1,5)**2-P(N,5)**2)**2- & 4.*P(N-1,5)**2*P(N,5)**2 P(N-1,3)=(PE*SQRT(SQLAM)+PZ*(VINT(62+JT)+P(N-1,5)**2- & P(N,5)**2))/(2.*VINT(62+JT))*(-1)**(JT+1) P(N-1,4)=SQRT(P(N-1,3)**2+P(N-1,5)**2) P(N,3)=PZ*(-1)**(JT+1)-P(N-1,3) P(N,4)=SQRT(P(N,3)**2+P(N,5)**2) C...Diffracted particle: gluon kicked out. ELSE N=N+3 K(N-2,1)=2 K(N-1,1)=2 K(N,1)=1 K(N-2,3)=I+2 K(N-1,3)=I+2 K(N,3)=I+2 CALL PYSPLI(KFH,21,K(N,2),K(N-2,2)) K(N-1,2)=21 P(N-2,5)=ULMASS(K(N-2,2)) P(N-1,5)=0. P(N,5)=ULMASS(K(N,2)) C...Energy distribution for particle into two jets. 160 IMB=1 IF(MOD(KFH/1000,10).NE.0) IMB=2 CHIK=PARP(92+2*IMB) IF(MSTP(92).LE.1) THEN IF(IMB.EQ.1) CHI=RLU(0) IF(IMB.EQ.2) CHI=1.-SQRT(RLU(0)) ELSEIF(MSTP(92).EQ.2) THEN CHI=1.-RLU(0)**(1./(1.+CHIK)) ELSEIF(MSTP(92).EQ.3) THEN CUT=2.*0.3/VINT(1) 170 CHI=RLU(0)**2 IF((CHI**2/(CHI**2+CUT**2))**0.25*(1.-CHI)**CHIK.LT. & RLU(0)) GOTO 170 ELSE CUT=2.*0.3/VINT(1) CUTR=(1.+SQRT(1.+CUT**2))/CUT 180 CHIR=CUT*CUTR**RLU(0) CHI=(CHIR**2-CUT**2)/(2.*CHIR) IF((1.-CHI)**CHIK.LT.RLU(0)) GOTO 180 ENDIF IF(CHI.LT.P(N,5)**2/VINT(62+JT).OR.CHI.GT.1.-P(N-2,5)**2/ & VINT(62+JT)) GOTO 160 SQM=P(N-2,5)**2/(1.-CHI)+P(N,5)**2/CHI IF((SQRT(SQM)+PARJ(32))**2.GE.VINT(62+JT)) GOTO 160 PZI=(PE*(VINT(62+JT)-SQM)+PZ*(VINT(62+JT)+SQM))/ & (2.*VINT(62+JT)) PEI=SQRT(PZI**2+SQM) PQQP=(1.-CHI)*(PEI+PZI) P(N-2,3)=0.5*(PQQP-P(N-2,5)**2/PQQP)*(-1)**(JT+1) P(N-2,4)=SQRT(P(N-2,3)**2+P(N-2,5)**2) P(N-1,3)=(PZ-PZI)*(-1)**(JT+1) P(N-1,4)=ABS(P(N-1,3)) P(N,3)=PZI*(-1)**(JT+1)-P(N-2,3) P(N,4)=SQRT(P(N,3)**2+P(N,5)**2) ENDIF C...Documentation lines. K(I+2,1)=21 IF(MINT(16+JT).EQ.0) K(I+2,2)=KFH IF(MINT(16+JT).NE.0) K(I+2,2)=10*(KFH/10) K(I+2,3)=I P(I+2,3)=PZ*(-1)**(JT+1) P(I+2,4)=PE P(I+2,5)=SQRT(VINT(62+JT)) 190 CONTINUE C...Rotate outgoing partons/particles using cos(theta). IF(VINT(23).LT.0.9) THEN CALL LUDBRB(MINT(83)+3,N,ACOS(VINT(23)),VINT(24),0D0,0D0,0D0) ELSE CALL LUDBRB(MINT(83)+3,N,ASIN(VINT(59)),VINT(24),0D0,0D0,0D0) ENDIF RETURN END C********************************************************************* SUBROUTINE PYDOCU C...Handles the decumentation of the process in MSTI and PARI, C...and also computes cross-sections based on accumulated statistics. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) SAVE /LUJETS/,/LUDAT1/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT5/ C...Calculate Monte Carlo estimates of cross-sections. ISUB=MINT(1) IF(MSTP(111).NE.-1) NGEN(ISUB,3)=NGEN(ISUB,3)+1 NGEN(0,3)=NGEN(0,3)+1 XSEC(0,3)=0. DO 100 I=1,200 IF(I.EQ.96.OR.I.EQ.97) THEN XSEC(I,3)=0. ELSEIF(MSUB(95).EQ.1.AND.(I.EQ.11.OR.I.EQ.12.OR.I.EQ.13.OR. &I.EQ.28.OR.I.EQ.53.OR.I.EQ.68)) THEN XSEC(I,3)=XSEC(96,2)*NGEN(I,3)/MAX(1.,FLOAT(NGEN(96,1))* & FLOAT(NGEN(96,2))) ELSEIF(NGEN(I,1).EQ.0) THEN XSEC(I,3)=0. ELSEIF(NGEN(I,2).EQ.0) THEN XSEC(I,3)=XSEC(I,2)*NGEN(0,3)/(FLOAT(NGEN(I,1))* & FLOAT(NGEN(0,2))) ELSE XSEC(I,3)=XSEC(I,2)*NGEN(I,3)/(FLOAT(NGEN(I,1))* & FLOAT(NGEN(I,2))) ENDIF XSEC(0,3)=XSEC(0,3)+XSEC(I,3) 100 CONTINUE C...Rescale to known low-pT cross-section for standard QCD processes. IF(MSUB(95).EQ.1) THEN XSECH=XSEC(11,3)+XSEC(12,3)+XSEC(13,3)+XSEC(28,3)+XSEC(53,3)+ & XSEC(68,3)+XSEC(95,3) XSECW=XSEC(97,2)/MAX(1.,FLOAT(NGEN(97,1))) IF(XSECH.GT.1E-10.AND.XSECW.GT.1E-10) THEN FAC=XSECW/XSECH XSEC(11,3)=FAC*XSEC(11,3) XSEC(12,3)=FAC*XSEC(12,3) XSEC(13,3)=FAC*XSEC(13,3) XSEC(28,3)=FAC*XSEC(28,3) XSEC(53,3)=FAC*XSEC(53,3) XSEC(68,3)=FAC*XSEC(68,3) XSEC(95,3)=FAC*XSEC(95,3) XSEC(0,3)=XSEC(0,3)-XSECH+XSECW ENDIF ENDIF C...Reset information on hard interaction. DO 110 J=1,200 MSTI(J)=0 PARI(J)=0. 110 CONTINUE C...Copy integer valued information from MINT into MSTI. DO 120 J=1,31 MSTI(J)=MINT(J) 120 CONTINUE C...Store cross-section variables in PARI. PARI(1)=XSEC(0,3) PARI(2)=XSEC(0,3)/MINT(5) PARI(9)=VINT(99) PARI(10)=VINT(100) VINT(98)=VINT(98)+VINT(100) IF(MSTP(142).EQ.1) PARI(2)=XSEC(0,3)/VINT(98) C...Store kinematics variables in PARI. PARI(11)=VINT(1) PARI(12)=VINT(2) IF(ISUB.NE.95) THEN DO 130 J=13,26 PARI(J)=VINT(30+J) 130 CONTINUE PARI(31)=VINT(141) PARI(32)=VINT(142) PARI(33)=VINT(41) PARI(34)=VINT(42) PARI(35)=PARI(33)-PARI(34) PARI(36)=VINT(21) PARI(37)=VINT(22) PARI(38)=VINT(26) PARI(39)=VINT(157) PARI(40)=VINT(158) PARI(41)=VINT(23) PARI(42)=2.*VINT(47)/VINT(1) ENDIF C...Store information on scattered partons in PARI. IF(ISUB.NE.95.AND.MINT(7)*MINT(8).NE.0) THEN DO 140 IS=7,8 I=MINT(IS) PARI(36+IS)=P(I,3)/VINT(1) PARI(38+IS)=P(I,4)/VINT(1) PR=MAX(1E-20,P(I,5)**2+P(I,1)**2+P(I,2)**2) PARI(40+IS)=SIGN(LOG(MIN((SQRT(PR+P(I,3)**2)+ABS(P(I,3)))/ & SQRT(PR),1E20)),P(I,3)) PR=MAX(1E-20,P(I,1)**2+P(I,2)**2) PARI(42+IS)=SIGN(LOG(MIN((SQRT(PR+P(I,3)**2)+ABS(P(I,3)))/ & SQRT(PR),1E20)),P(I,3)) PARI(44+IS)=P(I,3)/SQRT(1E-20+P(I,1)**2+P(I,2)**2+P(I,3)**2) PARI(46+IS)=ULANGL(P(I,3),SQRT(P(I,1)**2+P(I,2)**2)) PARI(48+IS)=ULANGL(P(I,1),P(I,2)) 140 CONTINUE ENDIF C...Store sum up transverse and longitudinal momenta. PARI(65)=2.*PARI(17) IF(ISUB.LE.90.OR.ISUB.GE.95) THEN DO 150 I=MSTP(126)+1,N IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 150 PT=SQRT(P(I,1)**2+P(I,2)**2) PARI(69)=PARI(69)+PT IF(I.LE.MINT(52)) PARI(66)=PARI(66)+PT IF(I.GT.MINT(52).AND.I.LE.MINT(53)) PARI(68)=PARI(68)+PT 150 CONTINUE PARI(67)=PARI(68) PARI(71)=VINT(151) PARI(72)=VINT(152) PARI(73)=VINT(151) PARI(74)=VINT(152) ELSE PARI(66)=PARI(65) PARI(69)=PARI(65) ENDIF C...Store various other pieces of information into PARI. PARI(61)=VINT(148) PARI(75)=VINT(155) PARI(76)=VINT(156) PARI(77)=VINT(159) PARI(78)=VINT(160) PARI(81)=VINT(138) C...Set information for LUTABU. IF(ISET(ISUB).EQ.1.OR.ISET(ISUB).EQ.3) THEN MSTU(161)=MINT(21) MSTU(162)=0 ELSEIF(ISET(ISUB).EQ.5) THEN MSTU(161)=MINT(23) MSTU(162)=0 ELSE MSTU(161)=MINT(21) MSTU(162)=MINT(22) ENDIF RETURN END C********************************************************************* SUBROUTINE PYFRAM(IFRAME) C...Performs transformations between different coordinate frames. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/ C...Check that transformation can and should be done. IF(IFRAME.EQ.1.OR.IFRAME.EQ.2.OR.(IFRAME.EQ.3.AND. &MINT(91).EQ.1)) THEN IF(IFRAME.EQ.MINT(6)) RETURN ELSE WRITE(MSTU(11),5000) IFRAME,MINT(6) RETURN ENDIF IF(MINT(6).EQ.1) THEN C...Transform from fixed target or user specified frame to C...overall CM frame. CALL LUROBO(0.,0.,-VINT(8),-VINT(9),-VINT(10)) CALL LUROBO(0.,-VINT(7),0.,0.,0.) CALL LUROBO(-VINT(6),0.,0.,0.,0.) ELSEIF(MINT(6).EQ.3) THEN C...Transform from hadronic CM frame in DIS to overall CM frame. CALL LUROBO(-VINT(221),-VINT(222),-VINT(223),-VINT(224), & -VINT(225)) ENDIF IF(IFRAME.EQ.1) THEN C...Transform from overall CM frame to fixed target or user specified C...frame. CALL LUROBO(VINT(6),VINT(7),VINT(8),VINT(9),VINT(10)) ELSEIF(IFRAME.EQ.3) THEN C...Transform from overall CM frame to hadronic CM frame in DIS. CALL LUROBO(0.,0.,VINT(223),VINT(224),VINT(225)) CALL LUROBO(0.,VINT(222),0.,0.,0.) CALL LUROBO(VINT(221),0.,0.,0.,0.) ENDIF C...Set information about new frame. MINT(6)=IFRAME MSTI(6)=IFRAME 5000 FORMAT(1X,'Error: illegal values in subroutine PYFRAM.',1X, &'No transformation performed.'/1X,'IFRAME =',1X,I5,'; MINT(6) =', &1X,I5) RETURN END C********************************************************************* SUBROUTINE PYWIDT(KFLR,SH,WDTP,WDTE) C...Calculates full and partial widths of resonances. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) SAVE /LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT4/ DIMENSION WDTP(0:40),WDTE(0:40,0:5),MOFSV(3,2),WIDWSV(3,2), &WID2SV(3,2) SAVE MOFSV,WIDWSV,WID2SV DATA MOFSV/6*0/,WIDWSV/6*0./,WID2SV/6*0./ C...Some common constants. KFLA=IABS(KFLR) KFHIGG=25 IHIGG=1 IF(KFLA.EQ.35.OR.KFLA.EQ.36) THEN KFHIGG=KFLA IHIGG=KFLA-33 ENDIF AEM=ULALEM(SH) XW=PARU(102) AS=ULALPS(SH) RADC=1.+AS/PARU(1) C...Reset width information. DO 110 I=0,40 WDTP(I)=0. DO 100 J=0,5 WDTE(I,J)=0. 100 CONTINUE 110 CONTINUE IF(KFLA.EQ.6) THEN C...t quark. DO 120 I=1,MDCY(6,3) IDC=I+MDCY(6,2)-1 IF(MDME(IDC,1).LT.0) GOTO 120 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 120 IF(I.GE.4.AND.I.LE.7) THEN C...t -> W + q. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)*VCKM(3,I-3)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.-RM2)**2+(1.+RM2)*RM1-2.*RM1**2) IF(KFLR.GT.0) THEN WID2=WIDS(24,2) IF(I.EQ.7.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,2) ELSE WID2=WIDS(24,3) IF(I.EQ.7.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,3) ENDIF ELSEIF(I.EQ.9) THEN C...t -> H + b. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.+RM2-RM1)*(RM2*PARU(141)**2+1./PARU(141)**2)+4.*RM2) WID2=WIDS(37,2) IF(KFLR.LT.0) WID2=WIDS(37,3) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 120 CONTINUE ELSEIF(KFLA.EQ.7) THEN C...l or d* (masked as particle code 7). DO 130 I=1,MDCY(7,3) IDC=I+MDCY(7,2)-1 IF(MDME(IDC,1).LT.0) GOTO 130 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 130 IF(MSTP(6).NE.1) THEN IF(I.GE.4.AND.I.LE.7) THEN C...l -> W + q. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)*VCKM(I-3,4)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.-RM2)**2+(1.+RM2)*RM1-2.*RM1**2) IF(KFLR.GT.0) THEN WID2=WIDS(24,3) IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WID2*WIDS(26,2) IF(I.EQ.7.AND.MSTP(49).GE.1) WID2=WID2*WIDS(28,2) ELSE WID2=WIDS(24,2) IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WID2*WIDS(26,3) IF(I.EQ.7.AND.MSTP(49).GE.1) WID2=WID2*WIDS(28,3) ENDIF WID2=WIDS(24,3) IF(KFLR.LT.0) WID2=WIDS(24,2) ELSEIF(I.EQ.9.OR.I.EQ.10) THEN C...l -> H + q. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.+RM2-RM1)*(PARU(141)**2+RM2/PARU(141)**2)+4.*RM2) IF(KFLR.GT.0) THEN WID2=WIDS(37,3) IF(I.EQ.10.AND.MSTP(48).GE.1) WID2=WID2*WIDS(26,2) ELSE WID2=WIDS(37,2) IF(I.EQ.10.AND.MSTP(48).GE.1) WID2=WID2*WIDS(26,3) ENDIF ENDIF ELSE IF(I.EQ.1) THEN C...d* -> g + d. WDTP(I)=AS*PARU(159)**2*SH/(3.*PARU(155)**2) WID2=1. ELSEIF(I.EQ.2) THEN C...d* -> gamma + d. QF=-PARU(157)/2.+PARU(158)/6. WDTP(I)=AEM*QF**2*SH/(4.*PARU(155)**2) WID2=1. ELSEIF(I.EQ.3) THEN C...d* -> Z0 + d. QF=-PARU(157)*(1.-XW)/2.-PARU(158)*XW/6. WDTP(I)=AEM*QF**2*SH/(8.*XW*(1.-XW)*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) WID2=WIDS(23,2) ELSEIF(I.EQ.4) THEN C...d* -> W- + u. WDTP(I)=AEM*PARU(157)**2*SH/(16.*XW*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) IF(KFLR.GT.0) WID2=WIDS(24,3) IF(KFLR.LT.0) WID2=WIDS(24,2) ENDIF ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 130 CONTINUE ELSEIF(KFLA.EQ.8) THEN C...h or u* (masked as particle code 8). DO 140 I=1,MDCY(8,3) IDC=I+MDCY(8,2)-1 IF(MDME(IDC,1).LT.0) GOTO 140 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 140 IF(MSTP(6).NE.1) THEN IF(I.GE.4.AND.I.LE.7) THEN C...h -> W + q. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)*VCKM(4,I-3)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.-RM2)**2+(1.+RM2)*RM1-2.*RM1**2) IF(KFLR.GT.0) THEN WID2=WIDS(24,2) IF(I.EQ.7.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,2) ELSE WID2=WIDS(24,3) IF(I.EQ.7.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,3) ENDIF ELSEIF(I.EQ.9.OR.I.EQ.10) THEN C...h -> H + q. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.+RM2-RM1)*(RM2*PARU(141)**2+1./PARU(141)**2)+4.*RM2) IF(KFLR.GT.0) THEN WID2=WIDS(37,2) IF(I.EQ.10.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,2) ELSE WID2=WIDS(37,3) IF(I.EQ.10.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,3) ENDIF ENDIF ELSE IF(I.EQ.1) THEN C...u* -> g + u. WDTP(I)=AS*PARU(159)**2*SH/(3.*PARU(155)**2) WID2=1. ELSEIF(I.EQ.2) THEN C...u* -> gamma + u. QF=PARU(157)/2.+PARU(158)/6. WDTP(I)=AEM*QF**2*SH/(4.*PARU(155)**2) WID2=1. ELSEIF(I.EQ.3) THEN C...u* -> Z0 + u. QF=PARU(157)*(1.-XW)/2.-PARU(158)*XW/6. WDTP(I)=AEM*QF**2*SH/(8.*XW*(1.-XW)*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) WID2=WIDS(23,2) ELSEIF(I.EQ.4) THEN C...u* -> W+ + d. WDTP(I)=AEM*PARU(157)**2*SH/(16.*XW*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) IF(KFLR.GT.0) WID2=WIDS(24,2) IF(KFLR.LT.0) WID2=WIDS(24,3) ENDIF ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 140 CONTINUE ELSEIF(KFLA.EQ.17) THEN C...chi or e* (masked as particle code 17). DO 150 I=1,MDCY(17,3) IDC=I+MDCY(17,2)-1 IF(MDME(IDC,1).LT.0) GOTO 150 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 150 IF(MSTP(6).NE.1) THEN IF(I.EQ.4) THEN C...chi -> W + nu_chi. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.-RM2)**2+(1.+RM2)*RM1-2.*RM1**2) IF(KFLR.GT.0) THEN WID2=WIDS(24,3) IF(MSTP(49).GE.1) WID2=WID2*WIDS(30,2) ELSE WID2=WIDS(24,2) IF(MSTP(49).GE.1) WID2=WID2*WIDS(30,3) ENDIF ELSEIF(I.EQ.6) THEN C...chi -> H + nu_chi. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.+RM2-RM1)*(PARU(141)**2+RM2/PARU(141)**2)+4.*RM2) IF(KFLR.GT.0) THEN WID2=WIDS(37,3) IF(MSTP(49).GE.1) WID2=WID2*WIDS(30,2) ELSE WID2=WIDS(37,2) IF(MSTP(49).GE.1) WID2=WID2*WIDS(30,3) ENDIF ENDIF ELSE IF(I.EQ.2) THEN C...e* -> gamma + e. QF=-PARU(157)/2.-PARU(158)/2. WDTP(I)=AEM*QF**2*SH/(4.*PARU(155)**2) WID2=1. ELSEIF(I.EQ.3) THEN C...e* -> Z0 + e. QF=-PARU(157)*(1.-XW)/2.+PARU(158)*XW/2. WDTP(I)=AEM*QF**2*SH/(8.*XW*(1.-XW)*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) WID2=WIDS(23,2) ELSEIF(I.EQ.4) THEN C...e* -> W- + nu. WDTP(I)=AEM*PARU(157)**2*SH/(16.*XW*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) IF(KFLR.GT.0) WID2=WIDS(24,3) IF(KFLR.LT.0) WID2=WIDS(24,2) ENDIF ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 150 CONTINUE ELSEIF(KFLA.EQ.18) THEN C...nu_chi or nu*_e (masked as particle code 18). DO 160 I=1,MDCY(18,3) IDC=I+MDCY(18,2)-1 IF(MDME(IDC,1).LT.0) GOTO 160 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 160 IF(MSTP(6).NE.1) THEN IF(I.EQ.2) THEN C...nu_chi -> W + chi. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.-RM2)**2+(1.+RM2)*RM1-2.*RM1**2) IF(KFLR.GT.0) THEN WID2=WIDS(24,2) IF(MSTP(49).GE.1) WID2=WID2*WIDS(29,2) ELSE WID2=WIDS(24,3) IF(MSTP(49).GE.1) WID2=WID2*WIDS(29,3) ENDIF ELSEIF(I.EQ.3) THEN C...nu_chi -> H + chi. WDTP(I)=AEM*SH/(16.*PMAS(24,1)**2*XW)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))* & ((1.+RM2-RM1)*(RM2*PARU(141)**2+1./PARU(141)**2)+4.*RM2) IF(KFLR.GT.0) THEN WID2=WIDS(37,2) IF(MSTP(49).GE.1) WID2=WID2*WIDS(29,2) ELSE WID2=WIDS(37,3) IF(MSTP(49).GE.1) WID2=WID2*WIDS(29,3) ENDIF ENDIF ELSE IF(I.EQ.1) THEN C...nu*_e -> Z0 + nu*_e. QF=PARU(157)*(1.-XW)/2.+PARU(158)*XW/2. WDTP(I)=AEM*QF**2*SH/(8.*XW*(1.-XW)*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) WID2=WIDS(23,2) ELSEIF(I.EQ.2) THEN C...nu*_e -> W+ + e. WDTP(I)=AEM*PARU(157)**2*SH/(16.*XW*PARU(155)**2)* & (1.-RM1)**2*(2.+RM1) IF(KFLR.GT.0) WID2=WIDS(24,2) IF(KFLR.LT.0) WID2=WIDS(24,3) ENDIF ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 160 CONTINUE ELSEIF(KFLA.EQ.21) THEN C...QCD: DO 170 I=1,MDCY(21,3) IDC=I+MDCY(21,2)-1 IF(MDME(IDC,1).LT.0) GOTO 170 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 170 WID2=1. IF(I.LE.8) THEN C...QCD -> q + q~ WDTP(I)=(1.+2.*RM1)*SQRT(MAX(0.,1.-4.*RM1)) IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((I.EQ.7.OR.I.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(20+I,1) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 170 CONTINUE ELSEIF(KFLA.EQ.22) THEN C...QED photon. DO 180 I=1,MDCY(22,3) IDC=I+MDCY(22,2)-1 IF(MDME(IDC,1).LT.0) GOTO 180 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 180 WID2=1. IF(I.LE.8) THEN C...QED -> q + q~. EF=KCHG(I,1)/3. FCOF=3.*RADC IF(I.GE.6.AND.MSTP(35).GE.1) FCOF=FCOF*PYHFTH(SH,SH*RM1,1.) WDTP(I)=FCOF*EF**2*(1.+2.*RM1)*SQRT(MAX(0.,1.-4.*RM1)) IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((I.EQ.7.OR.I.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(20+I,1) ELSEIF(I.LE.12) THEN C...QED -> l+ + l-. EF=KCHG(9+2*(I-8),1)/3. WDTP(I)=EF**2*(1.+2.*RM1)*SQRT(MAX(0.,1.-4.*RM1)) IF(I.EQ.12.AND.MSTP(49).GE.1) WID2=WIDS(29,1) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 180 CONTINUE ELSEIF(KFLA.EQ.23) THEN C...Z0: ICASE=1 XWC=1./(16.*XW*(1.-XW)) FACH=AEM/3.*XWC*SH 190 CONTINUE IF(MINT(61).GE.1.AND.ICASE.EQ.2) THEN VINT(111)=0. VINT(112)=0. VINT(114)=0. ENDIF IF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN EI=KCHG(IABS(MINT(15)),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW SQMZ=PMAS(23,1)**2 HZ=FACH*WDTP(0) IF(MSTP(43).EQ.1.OR.MSTP(43).EQ.3) VINT(111)=1. IF(MSTP(43).EQ.3) VINT(112)= & 2.*XWC*SH*(SH-SQMZ)/((SH-SQMZ)**2+HZ**2) IF(MSTP(43).EQ.2.OR.MSTP(43).EQ.3) VINT(114)= & XWC**2*SH**2/((SH-SQMZ)**2+HZ**2) ENDIF DO 200 I=1,MDCY(23,3) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 200 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 200 WID2=1. IF(I.LE.8) THEN C...Z0 -> q + q~ EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW FCOF=3.*RADC IF(I.GE.6.AND.MSTP(35).GE.1) FCOF=FCOF*PYHFTH(SH,SH*RM1,1.) IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((I.EQ.7.OR.I.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(20+I,1) ELSEIF(I.LE.16) THEN C...Z0 -> l+ + l-, nu + nu~ EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW FCOF=1. IF((I.EQ.15.OR.I.EQ.16).AND.MSTP(49).GE.1) WID2=WIDS(14+I,1) ENDIF BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(ICASE.EQ.1) THEN WDTP(I)=FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ELSEIF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN WDTP(I)=FCOF*((EI**2*VINT(111)*EF**2+EI*VI*VINT(112)* & EF*VF+(VI**2+AI**2)*VINT(114)*VF**2)*(1.+2.*RM1)+ & (VI**2+AI**2)*VINT(114)*AF**2*(1.-4.*RM1))*BE34 ELSEIF(MINT(61).EQ.2.AND.ICASE.EQ.2) THEN FGGF=FCOF*EF**2*(1.+2.*RM1)*BE34 FGZF=FCOF*EF*VF*(1.+2.*RM1)*BE34 FZZF=FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF IF(ICASE.EQ.1) WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN IF((ICASE.EQ.1.AND.MINT(61).NE.1).OR. & (ICASE.EQ.2.AND.MINT(61).EQ.1)) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF IF(MINT(61).EQ.2.AND.ICASE.EQ.2) THEN IF(MSTP(43).EQ.1.OR.MSTP(43).EQ.3) VINT(111)= & VINT(111)+FGGF*WID2 IF(MSTP(43).EQ.3) VINT(112)=VINT(112)+FGZF*WID2 IF(MSTP(43).EQ.2.OR.MSTP(43).EQ.3) VINT(114)= & VINT(114)+FZZF*WID2 ENDIF ENDIF 200 CONTINUE IF(MINT(61).GE.1) ICASE=3-ICASE IF(ICASE.EQ.2) GOTO 190 ELSEIF(KFLA.EQ.24) THEN C...W+/-: DO 210 I=1,MDCY(24,3) IDC=I+MDCY(24,2)-1 IF(MDME(IDC,1).LT.0) GOTO 210 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 210 WID2=1. IF(I.LE.16) THEN C...W+/- -> q + q~' FCOF=3.*RADC*VCKM((I-1)/4+1,MOD(I-1,4)+1) IF(KFLR.GT.0) THEN IF(MOD(I,4).EQ.3.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF(MOD(I,4).EQ.0.AND.MSTP(49).GE.1) WID2=WIDS(28,2) IF(I.GE.13.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,3) ELSE IF(MOD(I,4).EQ.3.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF(MOD(I,4).EQ.0.AND.MSTP(49).GE.1) WID2=WIDS(28,3) IF(I.GE.13.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,2) ENDIF ELSEIF(I.LE.20) THEN C...W+/- -> l+/- + nu FCOF=1. IF(KFLR.GT.0) THEN IF(I.EQ.20.AND.MSTP(49).GE.1) WID2=WIDS(29,3)*WIDS(30,2) ELSE IF(I.EQ.20.AND.MSTP(49).GE.1) WID2=WIDS(29,2)*WIDS(30,3) ENDIF ENDIF WDTP(I)=FCOF*(2.-RM1-RM2-(RM1-RM2)**2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 210 CONTINUE ELSEIF(KFLA.EQ.25.OR.KFLA.EQ.35.OR.KFLA.EQ.36) THEN C...H0 (or H'0, or A0): DO 250 I=1,MDCY(KFHIGG,3) IDC=I+MDCY(KFHIGG,2)-1 IF(MDME(IDC,1).LT.0) GOTO 250 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(I.NE.16.AND.I.NE.17.AND.SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 250 WID2=1. IF(I.LE.8) THEN C...H0 -> q + q~ WDTP(I)=3.*RM1*(1.-4.*RM1)*SQRT(MAX(0.,1.-4.*RM1))*RADC IF(MSTP(37).EQ.1) WDTP(I)=WDTP(I)* & (LOG(MAX(4.,PARP(37)**2*RM1*SH/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN IF(MOD(I,2).EQ.1) WDTP(I)=WDTP(I)*PARU(151+10*IHIGG)**2 IF(MOD(I,2).EQ.0) WDTP(I)=WDTP(I)*PARU(152+10*IHIGG)**2 ENDIF IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((I.EQ.7.OR.I.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(20+I,1) ELSEIF(I.LE.12) THEN C...H0 -> l+ + l- WDTP(I)=RM1*(1.-4.*RM1)*SQRT(MAX(0.,1.-4.*RM1)) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) WDTP(I)=WDTP(I)* & PARU(153+10*IHIGG)**2 IF(I.EQ.12.AND.MSTP(49).GE.1) WID2=WIDS(29,1) ELSEIF(I.EQ.13) THEN C...H0 -> g + g; quark loop contribution only ETARE=0. ETAIM=0. DO 220 J=1,2*MSTP(1) EPS=(2.*PMAS(J,1))**2/SH C...Loop integral; function of eps=4m^2/shat; different for A0. IF(EPS.LE.1.) THEN IF(EPS.GT.1.E-4) THEN ROOT=SQRT(1.-EPS) RLN=LOG((1.+ROOT)/(1.-ROOT)) ELSE RLN=LOG(4./EPS-2.) ENDIF PHIRE=-0.25*(RLN**2-PARU(1)**2) PHIIM=0.5*PARU(1)*RLN ELSE PHIRE=(ASIN(1./SQRT(EPS)))**2 PHIIM=0. ENDIF IF(IHIGG.LE.2) THEN ETAREJ=-0.5*EPS*(1.+(1.-EPS)*PHIRE) ETAIMJ=-0.5*EPS*(1.-EPS)*PHIIM ELSE ETAREJ=-0.5*EPS*PHIRE ETAIMJ=-0.5*EPS*PHIIM ENDIF C...Couplings (=1 for standard model Higgs). IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN IF(MOD(J,2).EQ.1) THEN ETAREJ=ETAREJ*PARU(151+10*IHIGG) ETAIMJ=ETAIMJ*PARU(151+10*IHIGG) ELSE ETAREJ=ETAREJ*PARU(152+10*IHIGG) ETAIMJ=ETAIMJ*PARU(152+10*IHIGG) ENDIF ENDIF ETARE=ETARE+ETAREJ ETAIM=ETAIM+ETAIMJ 220 CONTINUE ETA2=ETARE**2+ETAIM**2 WDTP(I)=(AS/PARU(1))**2*ETA2 ELSEIF(I.EQ.14) THEN C...H0 -> gamma + gamma; quark, lepton, W+- and H+- loop contributions ETARE=0. ETAIM=0. JMAX=3*MSTP(1)+1 IF(MSTP(4).GE.1.OR.IHIGG.GE.2) JMAX=JMAX+1 DO 230 J=1,JMAX IF(J.LE.2*MSTP(1)) THEN EJ=KCHG(J,1)/3. EPS=(2.*PMAS(J,1))**2/SH ELSEIF(J.LE.3*MSTP(1)) THEN JL=2*(J-2*MSTP(1))-1 EJ=KCHG(10+JL,1)/3. EPS=(2.*PMAS(10+JL,1))**2/SH ELSEIF(J.EQ.3*MSTP(1)+1) THEN EPS=(2.*PMAS(24,1))**2/SH ELSE EPS=(2.*PMAS(37,1))**2/SH ENDIF C...Loop integral; function of eps=4m^2/shat. IF(EPS.LE.1.) THEN IF(EPS.GT.1.E-4) THEN ROOT=SQRT(1.-EPS) RLN=LOG((1.+ROOT)/(1.-ROOT)) ELSE RLN=LOG(4./EPS-2.) ENDIF PHIRE=-0.25*(RLN**2-PARU(1)**2) PHIIM=0.5*PARU(1)*RLN ELSE PHIRE=(ASIN(1./SQRT(EPS)))**2 PHIIM=0. ENDIF IF(J.LE.3*MSTP(1)) THEN C...Fermion loops: loop integral different for A0; charges. IF(IHIGG.LE.2) THEN PHIPRE=-0.5*EPS*(1.+(1.-EPS)*PHIRE) PHIPIM=-0.5*EPS*(1.-EPS)*PHIIM ELSE PHIPRE=-0.5*EPS*PHIRE PHIPIM=-0.5*EPS*PHIIM ENDIF IF(J.LE.2*MSTP(1).AND.MOD(J,2).EQ.1) THEN EJC=3.*EJ**2 EJH=PARU(151+10*IHIGG) ELSEIF(J.LE.2*MSTP(1)) THEN EJC=3.*EJ**2 EJH=PARU(152+10*IHIGG) ELSE EJC=EJ**2 EJH=PARU(153+10*IHIGG) ENDIF IF(MSTP(4).EQ.0.AND.IHIGG.EQ.1) EJH=1. ETAREJ=EJC*EJH*PHIPRE ETAIMJ=EJC*EJH*PHIPIM ELSEIF(J.EQ.3*MSTP(1)+1) THEN C...W loops: loop integral and charges. ETAREJ=0.5+0.75*EPS*(1.+(2.-EPS)*PHIRE) ETAIMJ=0.75*EPS*(2.-EPS)*PHIIM IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN ETAREJ=ETAREJ*PARU(155+10*IHIGG) ETAIMJ=ETAIMJ*PARU(155+10*IHIGG) ENDIF ELSE C...Charged H loops: loop integral and charges. FACHHH=(PMAS(24,1)/PMAS(37,1))**2* & PARU(158+10*IHIGG+2*(IHIGG/3)) ETAREJ=EPS*(1.-EPS*PHIRE)*FACHHH ETAIMJ=-EPS**2*PHIIM*FACHHH ENDIF ETARE=ETARE+ETAREJ ETAIM=ETAIM+ETAIMJ 230 CONTINUE ETA2=ETARE**2+ETAIM**2 WDTP(I)=(AEM/PARU(1))**2*0.5*ETA2 ELSEIF(I.EQ.15) THEN C...H0 -> gamma + Z0; quark, lepton, W and H+- loop contributions ETARE=0. ETAIM=0. JMAX=3*MSTP(1)+1 IF(MSTP(4).GE.1.OR.IHIGG.GE.2) JMAX=JMAX+1 DO 240 J=1,JMAX IF(J.LE.2*MSTP(1)) THEN EJ=KCHG(J,1)/3. AJ=SIGN(1.,EJ+0.1) VJ=AJ-4.*EJ*XW EPS=(2.*PMAS(J,1))**2/SH EPSP=(2.*PMAS(J,1)/PMAS(23,1))**2 ELSEIF(J.LE.3*MSTP(1)) THEN JL=2*(J-2*MSTP(1))-1 EJ=KCHG(10+JL,1)/3. AJ=SIGN(1.,EJ+0.1) VJ=AJ-4.*EJ*XW EPS=(2.*PMAS(10+JL,1))**2/SH EPSP=(2.*PMAS(10+JL,1)/PMAS(23,1))**2 ELSE EPS=(2.*PMAS(24,1))**2/SH EPSP=(2.*PMAS(24,1)/PMAS(23,1))**2 ENDIF C...Loop integrals; functions of eps=4m^2/shat and eps'=4m^2/m_Z^2. IF(EPS.LE.1.) THEN ROOT=SQRT(1.-EPS) IF(EPS.GT.1.E-4) THEN RLN=LOG((1.+ROOT)/(1.-ROOT)) ELSE RLN=LOG(4./EPS-2.) ENDIF PHIRE=-0.25*(RLN**2-PARU(1)**2) PHIIM=0.5*PARU(1)*RLN PSIRE=0.5*ROOT*RLN PSIIM=-0.5*ROOT*PARU(1) ELSE PHIRE=(ASIN(1./SQRT(EPS)))**2 PHIIM=0. PSIRE=SQRT(EPS-1.)*ASIN(1./SQRT(EPS)) PSIIM=0. ENDIF IF(EPSP.LE.1.) THEN ROOT=SQRT(1.-EPSP) IF(EPSP.GT.1.E-4) THEN RLN=LOG((1.+ROOT)/(1.-ROOT)) ELSE RLN=LOG(4./EPSP-2.) ENDIF PHIREP=-0.25*(RLN**2-PARU(1)**2) PHIIMP=0.5*PARU(1)*RLN PSIREP=0.5*ROOT*RLN PSIIMP=-0.5*ROOT*PARU(1) ELSE PHIREP=(ASIN(1./SQRT(EPSP)))**2 PHIIMP=0. PSIREP=SQRT(EPSP-1.)*ASIN(1./SQRT(EPSP)) PSIIMP=0. ENDIF FXYRE=EPS*EPSP/(8.*(EPS-EPSP))*(1.+EPS*EPSP/(EPS-EPSP)*(PHIRE- & PHIREP)+2.*EPS/(EPS-EPSP)*(PSIRE-PSIREP)) FXYIM=EPS**2*EPSP/(8.*(EPS-EPSP)**2)*(EPSP*(PHIIM-PHIIMP)+ & 2.*(PSIIM-PSIIMP)) F1RE=-EPS*EPSP/(2.*(EPS-EPSP))*(PHIRE-PHIREP) F1IM=-EPS*EPSP/(2.*(EPS-EPSP))*(PHIIM-PHIIMP) IF(J.LE.3*MSTP(1)) THEN C...Fermion loops: loop integral different for A0; charges. IF(IHIGG.EQ.3) FXYRE=0. IF(IHIGG.EQ.3) FXYIM=0. IF(J.LE.2*MSTP(1).AND.MOD(J,2).EQ.1) THEN EJC=-3.*EJ*VJ EJH=PARU(151+10*IHIGG) ELSEIF(J.LE.2*MSTP(1)) THEN EJC=-3.*EJ*VJ EJH=PARU(152+10*IHIGG) ELSE EJC=-EJ*VJ EJH=PARU(153+10*IHIGG) ENDIF IF(MSTP(4).EQ.0.AND.IHIGG.EQ.1) EJH=1. ETAREJ=EJC*EJH*(FXYRE-0.25*F1RE) ETAIMJ=EJC*EJH*(FXYIM-0.25*F1IM) ELSEIF(J.EQ.3*MSTP(1)+1) THEN C...W loops: loop integral and charges. HEPS=(1.+2./EPS)*XW/(1.-XW)-(5.+2./EPS) ETAREJ=-(1.-XW)*((3.-XW/(1.-XW))*F1RE+HEPS*FXYRE) ETAIMJ=-(1.-XW)*((3.-XW/(1.-XW))*F1IM+HEPS*FXYIM) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN ETAREJ=ETAREJ*PARU(155+10*IHIGG) ETAIMJ=ETAIMJ*PARU(155+10*IHIGG) ENDIF ELSE C...Charged H loops: loop integral and charges. FACHHH=(PMAS(24,1)/PMAS(37,1))**2*(1.-2.*XW)* & PARU(158+10*IHIGG+2*(IHIGG/3)) ETAREJ=FACHHH*FXYRE ETAIMJ=FACHHH*FXYIM ENDIF ETARE=ETARE+ETAREJ ETAIM=ETAIM+ETAIMJ 240 CONTINUE ETA2=(ETARE**2+ETAIM**2)/(XW*(1.-XW)) WDTP(I)=(AEM/PARU(1))**2*(1.-PMAS(23,1)**2/SH)**3*ETA2 WID2=WIDS(23,2) ELSEIF(I.LE.17) THEN C...H0 -> Z0 + Z0, W+ + W- PM1=PMAS(IABS(KFDP(IDC,1)),1) PG1=PMAS(IABS(KFDP(IDC,1)),2) IF(MINT(62).GE.1) THEN IF(MSTP(42).EQ.0.OR.(4.*(PM1+10.*PG1)**2.LT.SH.AND. & CKIN(46).LT.CKIN(45).AND.CKIN(48).LT.CKIN(47).AND. & MAX(CKIN(45),CKIN(47)).LT.PM1-10.*PG1)) THEN MOFSV(IHIGG,I-15)=0 WIDW=(1.-4.*RM1+12.*RM1**2)*SQRT(MAX(0.,1.-4.*RM1)) WID2=1. ELSE MOFSV(IHIGG,I-15)=1 RMAS=SQRT(MAX(0.,SH)) CALL PYOFSH(1,KFLA,KFDP(IDC,1),KFDP(IDC,2),RMAS,WIDW,WID2) WIDWSV(IHIGG,I-15)=WIDW WID2SV(IHIGG,I-15)=WID2 ENDIF ELSE IF(MOFSV(IHIGG,I-15).EQ.0) THEN WIDW=(1.-4.*RM1+12.*RM1**2)*SQRT(MAX(0.,1.-4.*RM1)) WID2=1. ELSE WIDW=WIDWSV(IHIGG,I-15) WID2=WID2SV(IHIGG,I-15) ENDIF ENDIF WDTP(I)=WIDW/(2.*(18-I)) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) WDTP(I)=WDTP(I)* & PARU(138+I+10*IHIGG)**2 WID2=WID2*WIDS(7+I,1) ELSEIF(I.EQ.18.AND.KFLA.EQ.35) THEN C***H'0 -> Z0 + H0 (not yet implemented). ELSEIF(I.EQ.19.AND.KFLA.EQ.35) THEN C...H'0 -> H0 + H0. WDTP(I)=PARU(176)**2*0.25*PMAS(23,1)**4/SH**2* & SQRT(MAX(0.,1.-4.*RM1)) WID2=WIDS(25,2)**2 ELSEIF(I.EQ.20.AND.KFLA.EQ.35) THEN C...H'0 -> A0 + A0. WDTP(I)=PARU(177)**2*0.25*PMAS(23,1)**4/SH**2* & SQRT(MAX(0.,1.-4.*RM1)) WID2=WIDS(36,2)**2 ELSEIF(I.EQ.18.AND.KFLA.EQ.36) THEN C...A0 -> Z0 + H0. WDTP(I)=PARU(186)**2*0.5*SQRT(MAX(0.,(1.-RM1-RM2)**2- & 4.*RM1*RM2))**3 WID2=WIDS(23,2)*WIDS(25,2) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 250 CONTINUE ELSEIF(KFLA.EQ.32) THEN C...Z'0: ICASE=1 XWC=1./(16.*XW*(1.-XW)) FACH=AEM/3.*XWC*SH VINT(117)=0. 260 CONTINUE IF(MINT(61).GE.1.AND.ICASE.EQ.2) THEN VINT(111)=0. VINT(112)=0. VINT(113)=0. VINT(114)=0. VINT(115)=0. VINT(116)=0. ENDIF IF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN KFAI=IABS(MINT(15)) EI=KCHG(KFAI,1)/3. AI=SIGN(1.,EI+0.1) VI=AI-4.*EI*XW KFAIC=1 IF(KFAI.LE.10.AND.MOD(KFAI,2).EQ.0) KFAIC=2 IF(KFAI.GT.10.AND.MOD(KFAI,2).NE.0) KFAIC=3 IF(KFAI.GT.10.AND.MOD(KFAI,2).EQ.0) KFAIC=4 VPI=PARU(119+2*KFAIC) API=PARU(120+2*KFAIC) SQMZ=PMAS(23,1)**2 HZ=FACH*VINT(117) SQMZP=PMAS(32,1)**2 HZP=FACH*WDTP(0) IF(MSTP(44).EQ.1.OR.MSTP(44).EQ.4.OR.MSTP(44).EQ.5.OR. & MSTP(44).EQ.7) VINT(111)=1. IF(MSTP(44).EQ.4.OR.MSTP(44).EQ.7) VINT(112)= & 2.*XWC*SH*(SH-SQMZ)/((SH-SQMZ)**2+HZ**2) IF(MSTP(44).EQ.5.OR.MSTP(44).EQ.7) VINT(113)= & 2.*XWC*SH*(SH-SQMZP)/((SH-SQMZP)**2+HZP**2) IF(MSTP(44).EQ.2.OR.MSTP(44).EQ.4.OR.MSTP(44).EQ.6.OR. & MSTP(44).EQ.7) VINT(114)=XWC**2*SH**2/((SH-SQMZ)**2+HZ**2) IF(MSTP(44).EQ.6.OR.MSTP(44).EQ.7) VINT(115)= & 2.*XWC**2*SH**2*((SH-SQMZ)*(SH-SQMZP)+HZ*HZP)/ & (((SH-SQMZ)**2+HZ**2)*((SH-SQMZP)**2+HZP**2)) IF(MSTP(44).EQ.3.OR.MSTP(44).EQ.5.OR.MSTP(44).EQ.6.OR. & MSTP(44).EQ.7) VINT(116)=XWC**2*SH**2/((SH-SQMZP)**2+HZP**2) ENDIF DO 270 I=1,MDCY(32,3) IDC=I+MDCY(32,2)-1 IF(MDME(IDC,1).LT.0) GOTO 270 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1..OR.MDME(IDC,1).LT.0) GOTO 270 WID2=1. IF(I.LE.16) THEN IF(I.LE.8) THEN C...Z'0 -> q + q~ EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW VPF=PARU(123-2*MOD(I,2)) APF=PARU(124-2*MOD(I,2)) FCOF=3.*RADC IF(I.GE.6.AND.MSTP(35).GE.1) FCOF=FCOF*PYHFTH(SH,SH*RM1,1.) IF(I.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((I.EQ.7.OR.I.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(20+I,1) ELSEIF(I.LE.16) THEN C...Z'0 -> l+ + l-, nu + nu~ EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW VPF=PARU(127-2*MOD(I,2)) APF=PARU(128-2*MOD(I,2)) FCOF=1. IF((I.EQ.15.OR.I.EQ.16).AND.MSTP(49).GE.1) WID2=WIDS(14+I,1) ENDIF BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(ICASE.EQ.1) THEN WDTPZ=FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 WDTP(I)=FCOF*(VPF**2*(1.+2.*RM1)+APF**2*(1.-4.*RM1))*BE34 ELSEIF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN WDTP(I)=FCOF*((EI**2*VINT(111)*EF**2+EI*VI*VINT(112)* & EF*VF+EI*VPI*VINT(113)*EF*VPF+(VI**2+AI**2)*VINT(114)* & VF**2+(VI*VPI+AI*API)*VINT(115)*VF*VPF+(VPI**2+API**2)* & VINT(116)*VPF**2)*(1.+2.*RM1)+((VI**2+AI**2)*VINT(114)* & AF**2+(VI*VPI+AI*API)*VINT(115)*AF*APF+(VPI**2+API**2)* & VINT(116)*APF**2)*(1.-4.*RM1))*BE34 ELSEIF(MINT(61).EQ.2) THEN FGGF=FCOF*EF**2*(1.+2.*RM1)*BE34 FGZF=FCOF*EF*VF*(1.+2.*RM1)*BE34 FGZPF=FCOF*EF*VPF*(1.+2.*RM1)*BE34 FZZF=FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 FZZPF=FCOF*(VF*VPF*(1.+2.*RM1)+AF*APF*(1.-4.*RM1))*BE34 FZPZPF=FCOF*(VPF**2*(1.+2.*RM1)+APF**2*(1.-4.*RM1))*BE34 ENDIF ELSEIF(I.EQ.17) THEN C...Z'0 -> W+ + W- WDTPZP=PARU(129)**2*(1.-XW)**2* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))**3* & (1.+10.*RM1+10.*RM2+RM1**2+RM2**2+10.*RM1*RM2) IF(ICASE.EQ.1) THEN WDTPZ=0. WDTP(I)=WDTPZP ELSEIF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN WDTP(I)=(VPI**2+API**2)*VINT(116)*WDTPZP ELSEIF(MINT(61).EQ.2) THEN FGGF=0. FGZF=0. FGZPF=0. FZZF=0. FZZPF=0. FZPZPF=WDTPZP ENDIF WID2=WIDS(24,1) ELSEIF(I.EQ.18) THEN C...Z'0 -> H+ + H- CZC=2.*(1.-2.*XW) BE34C=(1.-4.*RM1)*SQRT(MAX(0.,1.-4.*RM1)) IF(ICASE.EQ.1) THEN WDTPZ=0.25*PARU(142)**2*CZC**2*BE34C WDTP(I)=0.25*PARU(143)**2*CZC**2*BE34C ELSEIF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN WDTP(I)=0.25*(EI**2*VINT(111)+PARU(142)*EI*VI*VINT(112)* & CZC+PARU(143)*EI*VPI*VINT(113)*CZC+PARU(142)**2* & (VI**2+AI**2)*VINT(114)*CZC**2+PARU(142)*PARU(143)* & (VI*VPI+AI*API)*VINT(115)*CZC**2+PARU(143)**2* & (VPI**2+API**2)*VINT(116)*CZC**2)*BE34C ELSEIF(MINT(61).EQ.2) THEN FGGF=0.25*BE34C FGZF=0.25*PARU(142)*CZC*BE34C FGZPF=0.25*PARU(143)*CZC*BE34C FZZF=0.25*PARU(142)**2*CZC**2*BE34C FZZPF=0.25*PARU(142)*PARU(143)*CZC**2*BE34C FZPZPF=0.25*PARU(143)**2*CZC**2*BE34C ENDIF WID2=WIDS(37,1) ELSEIF(I.EQ.19) THEN C...Z'0 -> Z0 + gamma. ELSEIF(I.EQ.20) THEN C...Z'0 -> Z0 + H0 FLAM=SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) WDTPZP=PARU(145)**2*4.*ABS(1.-2.*XW)*(3.*RM1+0.25*FLAM**2)* & FLAM IF(ICASE.EQ.1) THEN WDTPZ=0. WDTP(I)=WDTPZP ELSEIF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN WDTP(I)=(VPI**2+API**2)*VINT(116)*WDTPZP ELSEIF(MINT(61).EQ.2) THEN FGGF=0. FGZF=0. FGZPF=0. FZZF=0. FZZPF=0. FZPZPF=WDTPZP ENDIF WID2=WIDS(23,2)*WIDS(25,2) ELSEIF(I.EQ.21.OR.I.EQ.22) THEN C...Z' -> H0 + A0 or H'0 + A0. BE34C=SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))**3 IF(I.EQ.21) THEN CZAH=PARU(186) CZPAH=PARU(188) ELSE CZAH=PARU(187) CZPAH=PARU(189) ENDIF IF(ICASE.EQ.1) THEN WDTPZ=CZAH**2*BE34C WDTP(I)=CZPAH**2*BE34C ELSEIF(MINT(61).EQ.1.AND.ICASE.EQ.2) THEN WDTP(I)=(CZAH**2*(VI**2+AI**2)*VINT(114)+CZAH*CZPAH* & (VI*VPI+AI*API)*VINT(115)+CZPAH**2*(VPI**2+API**2)* & VINT(116))*BE34C ELSEIF(MINT(61).EQ.2) THEN FGGF=0. FGZF=0. FGZPF=0. FZZF=CZAH**2*BE34C FZZPF=CZAH*CZPAH*BE34C FZPZPF=CZPAH**2*BE34C ENDIF IF(I.EQ.21) WID2=WIDS(25,2)*WIDS(36,2) IF(I.EQ.22) WID2=WIDS(35,2)*WIDS(36,2) ENDIF IF(ICASE.EQ.1) THEN VINT(117)=VINT(117)+WDTPZ WDTP(0)=WDTP(0)+WDTP(I) ENDIF IF(MDME(IDC,1).GT.0) THEN IF((ICASE.EQ.1.AND.MINT(61).NE.1).OR. & (ICASE.EQ.2.AND.MINT(61).EQ.1)) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF IF(MINT(61).EQ.2.AND.ICASE.EQ.2) THEN IF(MSTP(44).EQ.1.OR.MSTP(44).EQ.4.OR.MSTP(44).EQ.5.OR. & MSTP(44).EQ.7) VINT(111)=VINT(111)+FGGF*WID2 IF(MSTP(44).EQ.4.OR.MSTP(44).EQ.7) VINT(112)=VINT(112)+ & FGZF*WID2 IF(MSTP(44).EQ.5.OR.MSTP(44).EQ.7) VINT(113)=VINT(113)+ & FGZPF*WID2 IF(MSTP(44).EQ.2.OR.MSTP(44).EQ.4.OR.MSTP(44).EQ.6.OR. & MSTP(44).EQ.7) VINT(114)=VINT(114)+FZZF*WID2 IF(MSTP(44).EQ.6.OR.MSTP(44).EQ.7) VINT(115)=VINT(115)+ & FZZPF*WID2 IF(MSTP(44).EQ.3.OR.MSTP(44).EQ.5.OR.MSTP(44).EQ.6.OR. & MSTP(44).EQ.7) VINT(116)=VINT(116)+FZPZPF*WID2 ENDIF ENDIF 270 CONTINUE IF(MINT(61).GE.1) ICASE=3-ICASE IF(ICASE.EQ.2) GOTO 260 ELSEIF(KFLA.EQ.34) THEN C...W'+/-: DO 280 I=1,MDCY(34,3) IDC=I+MDCY(34,2)-1 IF(MDME(IDC,1).LT.0) GOTO 280 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 280 WID2=1. IF(I.LE.20) THEN IF(I.LE.16) THEN C...W'+/- -> q + q~' FCOF=3.*RADC*(PARU(131)**2+PARU(132)**2)* & VCKM((I-1)/4+1,MOD(I-1,4)+1) IF(KFLR.GT.0) THEN IF(MOD(I,4).EQ.3.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF(MOD(I,4).EQ.0.AND.MSTP(49).GE.1) WID2=WIDS(28,2) IF(I.GE.13.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,3) ELSE IF(MOD(I,4).EQ.3.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF(MOD(I,4).EQ.0.AND.MSTP(49).GE.1) WID2=WIDS(28,3) IF(I.GE.13.AND.MSTP(49).GE.1) WID2=WID2*WIDS(27,2) ENDIF ELSEIF(I.LE.20) THEN C...W'+/- -> l+/- + nu FCOF=PARU(133)**2+PARU(134)**2 IF(KFLR.GT.0) THEN IF(I.EQ.20.AND.MSTP(49).GE.1) WID2=WIDS(29,3)*WIDS(30,2) ELSE IF(I.EQ.20.AND.MSTP(49).GE.1) WID2=WIDS(29,2)*WIDS(30,3) ENDIF ENDIF WDTP(I)=FCOF*0.5*(2.-RM1-RM2-(RM1-RM2)**2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) ELSEIF(I.EQ.21) THEN C...W'+/- -> W+/- + Z0 WDTP(I)=PARU(135)**2*0.5*(1.-XW)*(RM1/RM2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))**3* & (1.+10.*RM1+10.*RM2+RM1**2+RM2**2+10.*RM1*RM2) IF(KFLR.GT.0) WID2=WIDS(24,2)*WIDS(23,2) IF(KFLR.LT.0) WID2=WIDS(24,3)*WIDS(23,2) ELSEIF(I.EQ.23) THEN C...W'+/- -> W+/- + H0 FLAM=SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) WDTP(I)=PARU(146)**2*2.*(3.*RM1+0.25*FLAM**2)*FLAM IF(KFLR.GT.0) WID2=WIDS(24,2)*WIDS(25,2) IF(KFLR.LT.0) WID2=WIDS(24,3)*WIDS(25,2) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 280 CONTINUE ELSEIF(KFLA.EQ.37) THEN C...H+/-: DO 290 I=1,MDCY(37,3) IDC=I+MDCY(37,2)-1 IF(MDME(IDC,1).LT.0) GOTO 290 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 290 WID2=1. IF(I.LE.4) THEN C...H+/- -> q + q~' RM1R=RM1 IF(MSTP(37).EQ.1) RM1R=RM1* & (LOG(MAX(4.,PARP(37)**2*RM1*SH/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) WDTP(I)=3.*RADC*((RM1R*PARU(141)**2+RM2/PARU(141)**2)* & (1.-RM1R-RM2)-4.*RM1R*RM2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) IF(KFLR.GT.0) THEN IF(I.EQ.3.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF(I.EQ.4.AND.MSTP(49).GE.1) WID2=WIDS(27,3)*WIDS(28,2) ELSE IF(I.EQ.3.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF(I.EQ.4.AND.MSTP(49).GE.1) WID2=WIDS(27,2)*WIDS(28,3) ENDIF ELSEIF(I.LE.8) THEN C...H+/- -> l+/- + nu WDTP(I)=((RM1*PARU(141)**2+RM2/PARU(141)**2)*(1.-RM1-RM2)- & 4.*RM1*RM2)*SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) IF(KFLR.GT.0) THEN IF(I.EQ.8.AND.MSTP(49).GE.1) WID2=WIDS(29,3)*WIDS(30,2) ELSE IF(I.EQ.8.AND.MSTP(49).GE.1) WID2=WIDS(29,2)*WIDS(30,3) ENDIF ELSEIF(I.EQ.9) THEN C...H+/- -> W+/- + H0. WDTP(I)=PARU(195)**2*0.5*SQRT(MAX(0.,(1.-RM1-RM2)**2- & 4.*RM1*RM2))**3 IF(KFLR.GT.0) WID2=WIDS(24,2)*WIDS(25,2) IF(KFLR.LT.0) WID2=WIDS(24,3)*WIDS(25,2) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 290 CONTINUE ELSEIF(KFLA.EQ.38) THEN C...Techni-eta. DO 300 I=1,MDCY(38,3) IDC=I+MDCY(38,2)-1 IF(MDME(IDC,1).LT.0) GOTO 300 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 300 WID2=1. IF(I.LE.2) THEN WDTP(I)=RM1*SH*SQRT(MAX(0.,1.-4.*RM1))/ & (4.*PARU(1)*PARP(46)**2) IF(I.EQ.2.AND.MSTP(48).GE.1) WID2=WIDS(26,1) ELSE WDTP(I)=5.*AS**2*SH/(96.*PARU(1)**3*PARP(46)**2) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 300 CONTINUE ELSEIF(KFLA.EQ.39) THEN C...LQ (leptoquark). DO 310 I=1,MDCY(39,3) IDC=I+MDCY(39,2)-1 IF(MDME(IDC,1).LT.0) GOTO 310 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 310 WDTP(I)=PARU(151)*SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2))**3 WID2=1. WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 310 CONTINUE ELSEIF(KFLA.EQ.40) THEN C...R: DO 320 I=1,MDCY(40,3) IDC=I+MDCY(40,2)-1 IF(MDME(IDC,1).LT.0) GOTO 320 RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SH RM2=PMAS(IABS(KFDP(IDC,2)),1)**2/SH IF(SQRT(RM1)+SQRT(RM2).GT.1.) GOTO 320 WID2=1. IF(I.LE.6) THEN C...R -> q + q~' FCOF=3.*RADC ELSEIF(I.LE.9) THEN C...R -> l+ + l'- FCOF=1. ENDIF WDTP(I)=FCOF*(2.-RM1-RM2-(RM1-RM2)**2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) IF(KFLR.GT.0) THEN IF(I.EQ.4.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF(I.EQ.5.AND.MSTP(49).GE.1) WID2=WIDS(27,3) IF(I.EQ.6.AND.MSTP(49).GE.1) WID2=WIDS(26,2)*WIDS(28,3) IF(I.EQ.9.AND.MSTP(49).GE.1) WID2=WIDS(29,3) ELSE IF(I.EQ.4.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF(I.EQ.5.AND.MSTP(49).GE.1) WID2=WIDS(27,2) IF(I.EQ.6.AND.MSTP(49).GE.1) WID2=WIDS(26,3)*WIDS(28,2) IF(I.EQ.9.AND.MSTP(49).GE.1) WID2=WIDS(29,2) ENDIF WDTP(0)=WDTP(0)+WDTP(I) IF(MDME(IDC,1).GT.0) THEN WDTE(I,MDME(IDC,1))=WDTP(I)*WID2 WDTE(0,MDME(IDC,1))=WDTE(0,MDME(IDC,1))+WDTE(I,MDME(IDC,1)) WDTE(I,0)=WDTE(I,MDME(IDC,1)) WDTE(0,0)=WDTE(0,0)+WDTE(I,0) ENDIF 320 CONTINUE ENDIF MINT(61)=0 MINT(62)=0 RETURN END C*********************************************************************** SUBROUTINE PYOFSH(MOFSH,KFMO,KFD1,KFD2,PMMO,RET1,RET2) C...Calculates partial width and differential cross-section maxima C...of channels/processes not allowed on mass-shell, and selects C...masses in such channels/processes. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) SAVE /LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT5/ DIMENSION KFD(2),MBW(2),PMD(2),PGD(2),PMG(2),PML(2),PMU(2), &PMH(2),ATL(2),ATU(2),ATH(2),RMG(2),INX1(100),XPT1(100), &FPT1(100),INX2(100),XPT2(100),FPT2(100),WDTP(0:40), &WDTE(0:40,0:5) C...Find if particles equal, maximum mass, matrix elements, etc. MINT(51)=0 ISUB=MINT(1) KFD(1)=IABS(KFD1) KFD(2)=IABS(KFD2) MEQL=0 IF(KFD(1).EQ.KFD(2)) MEQL=1 MLM=0 IF(MOFSH.GE.2.AND.MEQL.EQ.1) MLM=INT(1.5+RLU(0)) IF(MOFSH.LE.2.OR.MOFSH.EQ.7) THEN NOFF=44 PMMX=PMMO ELSE NOFF=40 PMMX=VINT(1) IF(CKIN(2).GT.CKIN(1)) PMMX=MIN(CKIN(2),VINT(1)) ENDIF MMED=0 IF((KFMO.EQ.25.OR.KFMO.EQ.35.OR.KFMO.EQ.36).AND.MEQL.EQ.1.AND. &(KFD(1).EQ.23.OR.KFD(1).EQ.24)) MMED=1 IF((KFMO.EQ.32.OR.IABS(KFMO).EQ.34).AND.(KFD(1).EQ.23.OR. &KFD(1).EQ.24).AND.(KFD(2).EQ.23.OR.KFD(2).EQ.24)) MMED=2 IF((KFMO.EQ.32.OR.IABS(KFMO).EQ.34).AND.(KFD(2).EQ.25.OR. &KFD(2).EQ.35.OR.KFD(2).EQ.36)) MMED=3 LOOP=1 C...Find where Breit-Wigners are required, else select discrete masses. 100 DO 110 I=1,2 KFCA=KFD(I) IF(KFCA.GT.100) KFCA=LUCOMP(KFCA) IF(KFCA.GT.0) THEN PMD(I)=PMAS(KFCA,1) PGD(I)=PMAS(KFCA,2) ELSE PMD(I)=0. PGD(I)=0. ENDIF IF(MSTP(42).LE.0.OR.PGD(I).LT.PARP(41)) THEN MBW(I)=0 PMG(I)=PMD(I) ELSE MBW(I)=1 ENDIF 110 CONTINUE C...Find allowed mass range and Breit-Wigner parameters. DO 120 I=1,2 IF(MOFSH.EQ.1.AND.LOOP.EQ.1.AND.MBW(I).EQ.1) THEN PML(I)=PARP(42) PMU(I)=PMMX-PARP(42) IF(MBW(3-I).EQ.0) PMU(I)=MIN(PMU(I),PMMX-PMD(3-I)) IF(PMU(I).LT.PML(I)+PARJ(64)) MBW(I)=-1 ELSEIF((MBW(I).EQ.1.OR.MOFSH.GE.5).AND.MOFSH.NE.7) THEN ILM=I IF(MLM.EQ.2) ILM=3-I PML(I)=MAX(CKIN(NOFF+2*ILM-1),PARP(42)) IF(MOFSH.GE.5.AND.I.EQ.2) PML(I)=MAX(PML(I),2.*PMAS(KFD2,1)) PMU(I)=PMMX-MAX(CKIN(NOFF+5-2*ILM),PARP(42)) IF(MOFSH.GE.5.AND.I.EQ.1) PMU(I)=MIN(PMU(I),PMMX-2.* & PMAS(KFD2,1)) IF(CKIN(NOFF+2*ILM).GT.CKIN(NOFF+2*ILM-1)) PMU(I)=MIN(PMU(I), & CKIN(NOFF+2*ILM)) IF(MBW(3-I).EQ.0) PMU(I)=MIN(PMU(I),PMMX-PMD(3-I)) IF(I.EQ.MLM) PMU(I)=MIN(PMU(I),0.5*PMMX) IF(MEQL.EQ.0) PMH(I)=MIN(PMU(I),0.5*PMMX) IF(PMU(I).LT.PML(I)+PARJ(64)) MBW(I)=-1 IF(MBW(I).EQ.1) THEN ATL(I)=ATAN((PML(I)**2-PMD(I)**2)/(PMD(I)*PGD(I))) ATU(I)=ATAN((PMU(I)**2-PMD(I)**2)/(PMD(I)*PGD(I))) IF(MEQL.EQ.0) ATH(I)=ATAN((PMH(I)**2-PMD(I)**2)/(PMD(I)* & PGD(I))) ENDIF ELSEIF(MBW(I).EQ.1.AND.MOFSH.EQ.7) THEN ILM=I IF(MLM.EQ.2) ILM=3-I PML(I)=PARP(42) PMU(I)=PMMX-PARP(42) IF(MBW(3-I).EQ.0) PMU(I)=MIN(PMU(I),PMMX-PMD(3-I)) IF(I.EQ.MLM) PMU(I)=MIN(PMU(I),0.5*PMMX) IF(MEQL.EQ.0) PMH(I)=MIN(PMU(I),0.5*PMMX) IF(PMU(I).LT.PML(I)+PARJ(64)) MBW(I)=-1 IF(MBW(I).EQ.1) THEN ATL(I)=ATAN((PML(I)**2-PMD(I)**2)/(PMD(I)*PGD(I))) ATU(I)=ATAN((PMU(I)**2-PMD(I)**2)/(PMD(I)*PGD(I))) IF(MEQL.EQ.0) ATH(I)=ATAN((PMH(I)**2-PMD(I)**2)/(PMD(I)* & PGD(I))) ENDIF ENDIF 120 CONTINUE IF(MBW(1).LT.0.OR.MBW(2).LT.0.OR.(MBW(1).EQ.0.AND.MBW(2).EQ.0)) &THEN CALL LUERRM(13,'(PYOFSH:) no allowed decay product masses') MINT(51)=1 RETURN ENDIF C...Calculation of partial width of resonance. IF(MOFSH.EQ.1) THEN C..If only one integration, pick that to be the inner. IF(MBW(1).EQ.0) THEN PM2=PMD(1) PMD(1)=PMD(2) PGD(1)=PGD(2) PML(1)=PML(2) PMU(1)=PMU(2) ELSEIF(MBW(2).EQ.0) THEN PM2=PMD(2) ENDIF C...Start outer loop of integration. IF(MBW(1).EQ.1.AND.MBW(2).EQ.1) THEN ATL2=ATAN((PML(2)**2-PMD(2)**2)/(PMD(2)*PGD(2))) ATU2=ATAN((PMU(2)**2-PMD(2)**2)/(PMD(2)*PGD(2))) NPT2=1 XPT2(1)=1. INX2(1)=0 FMAX2=0. ENDIF 130 IF(MBW(1).EQ.1.AND.MBW(2).EQ.1) THEN PM2S=PMD(2)**2+PMD(2)*PGD(2)*TAN(ATL2+XPT2(NPT2)*(ATU2-ATL2)) PM2=MIN(PMU(2),MAX(PML(2),SQRT(MAX(0.,PM2S)))) ENDIF RM2=(PM2/PMMX)**2 C...Start inner loop of integration. PML1=PML(1) PMU1=MIN(PMU(1),PMMX-PM2) IF(MEQL.EQ.1) PMU1=MIN(PMU1,PM2) ATL1=ATAN((PML1**2-PMD(1)**2)/(PMD(1)*PGD(1))) ATU1=ATAN((PMU1**2-PMD(1)**2)/(PMD(1)*PGD(1))) IF(PML1+PARJ(64).GE.PMU1.OR.ATL1+1E-7.GE.ATU1) THEN FUNC2=0. GOTO 180 ENDIF NPT1=1 XPT1(1)=1. INX1(1)=0 FMAX1=0. 140 PM1S=PMD(1)**2+PMD(1)*PGD(1)*TAN(ATL1+XPT1(NPT1)*(ATU1-ATL1)) PM1=MIN(PMU1,MAX(PML1,SQRT(MAX(0.,PM1S)))) RM1=(PM1/PMMX)**2 C...Evaluate function value - inner loop. FUNC1=SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) IF(MMED.EQ.1) FUNC1=FUNC1*((1.-RM1-RM2)**2+8.*RM1*RM2) IF(MMED.EQ.2) FUNC1=FUNC1**3*(1.+10.*RM1+10.*RM2+RM1**2+ & RM2**2+10.*RM1*RM2) IF(FUNC1.GT.FMAX1) FMAX1=FUNC1 FPT1(NPT1)=FUNC1 C...Go to next position in inner loop. IF(NPT1.EQ.1) THEN NPT1=NPT1+1 XPT1(NPT1)=0. INX1(NPT1)=1 GOTO 140 ELSEIF(NPT1.LE.8) THEN NPT1=NPT1+1 IF(NPT1.LE.4.OR.NPT1.EQ.6) ISH1=1 ISH1=ISH1+1 XPT1(NPT1)=0.5*(XPT1(ISH1)+XPT1(INX1(ISH1))) INX1(NPT1)=INX1(ISH1) INX1(ISH1)=NPT1 GOTO 140 ELSEIF(NPT1.LT.100) THEN ISN1=ISH1 150 ISH1=ISH1+1 IF(ISH1.GT.NPT1) ISH1=2 IF(ISH1.EQ.ISN1) GOTO 160 DFPT1=ABS(FPT1(ISH1)-FPT1(INX1(ISH1))) IF(DFPT1.LT.PARP(43)*FMAX1) GOTO 150 NPT1=NPT1+1 XPT1(NPT1)=0.5*(XPT1(ISH1)+XPT1(INX1(ISH1))) INX1(NPT1)=INX1(ISH1) INX1(ISH1)=NPT1 GOTO 140 ENDIF C...Calculate integral over inner loop. 160 FSUM1=0. DO 170 IPT1=2,NPT1 FSUM1=FSUM1+0.5*(FPT1(IPT1)+FPT1(INX1(IPT1)))* & (XPT1(INX1(IPT1))-XPT1(IPT1)) 170 CONTINUE FUNC2=FSUM1*(ATU1-ATL1)/PARU(1) 180 IF(MBW(1).EQ.1.AND.MBW(2).EQ.1) THEN IF(FUNC2.GT.FMAX2) FMAX2=FUNC2 FPT2(NPT2)=FUNC2 C...Go to next position in outer loop. IF(NPT2.EQ.1) THEN NPT2=NPT2+1 XPT2(NPT2)=0. INX2(NPT2)=1 GOTO 130 ELSEIF(NPT2.LE.8) THEN NPT2=NPT2+1 IF(NPT2.LE.4.OR.NPT2.EQ.6) ISH2=1 ISH2=ISH2+1 XPT2(NPT2)=0.5*(XPT2(ISH2)+XPT2(INX2(ISH2))) INX2(NPT2)=INX2(ISH2) INX2(ISH2)=NPT2 GOTO 130 ELSEIF(NPT2.LT.100) THEN ISN2=ISH2 190 ISH2=ISH2+1 IF(ISH2.GT.NPT2) ISH2=2 IF(ISH2.EQ.ISN2) GOTO 200 DFPT2=ABS(FPT2(ISH2)-FPT2(INX2(ISH2))) IF(DFPT2.LT.PARP(43)*FMAX2) GOTO 190 NPT2=NPT2+1 XPT2(NPT2)=0.5*(XPT2(ISH2)+XPT2(INX2(ISH2))) INX2(NPT2)=INX2(ISH2) INX2(ISH2)=NPT2 GOTO 130 ENDIF C...Calculate integral over outer loop. 200 FSUM2=0. DO 210 IPT2=2,NPT2 FSUM2=FSUM2+0.5*(FPT2(IPT2)+FPT2(INX2(IPT2)))* & (XPT2(INX2(IPT2))-XPT2(IPT2)) 210 CONTINUE FSUM2=FSUM2*(ATU2-ATL2)/PARU(1) IF(MEQL.EQ.1) FSUM2=2.*FSUM2 ELSE FSUM2=FUNC2 ENDIF C...Save result; second integration for user-selected mass range. IF(LOOP.EQ.1) WIDW=FSUM2 WID2=FSUM2 IF(LOOP.EQ.1.AND.(CKIN(46).GE.CKIN(45).OR.CKIN(48).GE.CKIN(47). & OR.MAX(CKIN(45),CKIN(47)).GE.1.01*PARP(42))) THEN LOOP=2 GOTO 100 ENDIF RET1=WIDW RET2=WID2/WIDW C...Select two decay product masses of a resonance. ELSEIF(MOFSH.EQ.2.OR.MOFSH.EQ.7) THEN 220 DO 230 I=1,2 IF(MBW(I).EQ.0) GOTO 230 PMBW=PMD(I)**2+PMD(I)*PGD(I)*TAN(ATL(I)+RLU(0)*(ATU(I)-ATL(I))) PMG(I)=MIN(PMU(I),MAX(PML(I),SQRT(MAX(0.,PMBW)))) RMG(I)=(PMG(I)/PMMX)**2 230 CONTINUE IF((MEQL.EQ.1.AND.PMG(MAX(1,MLM)).GT.PMG(MIN(2,3-MLM))).OR. & PMG(1)+PMG(2)+PARJ(64).GT.PMMX) GOTO 220 C...Weight with matrix element (if none known, use beta factor). FLAM=SQRT(MAX(0.,(1.-RMG(1)-RMG(2))**2-4.*RMG(1)*RMG(2))) IF(MMED.EQ.1) THEN WTBE=FLAM*((1.-RMG(1)-RMG(2))**2+8.*RMG(1)*RMG(2)) ELSEIF(MMED.EQ.2) THEN WTBE=FLAM**3*(1.+10.*RMG(1)+10.*RMG(2)+RMG(1)**2+ & RMG(2)**2+10.*RMG(1)*RMG(2)) ELSEIF(MMED.EQ.3) THEN WTBE=FLAM*(RMG(1)+FLAM**2/12.) ELSE WTBE=FLAM ENDIF IF(WTBE.LT.RLU(0)) GOTO 220 RET1=PMG(1) RET2=PMG(2) C...Find suitable set of masses for initialization of 2 -> 2 processes. ELSEIF(MOFSH.EQ.3) THEN IF(MBW(1).NE.0.AND.MBW(2).EQ.0) THEN PMG(1)=MIN(PMD(1),0.5*(PML(1)+PMU(1))) PMG(2)=PMD(2) ELSEIF(MBW(2).NE.0.AND.MBW(1).EQ.0) THEN PMG(1)=PMD(1) PMG(2)=MIN(PMD(2),0.5*(PML(2)+PMU(2))) ELSE IDIV=-1 240 IDIV=IDIV+1 PMG(1)=MIN(PMD(1),0.1*(IDIV*PML(1)+(10-IDIV)*PMU(1))) PMG(2)=MIN(PMD(2),0.1*(IDIV*PML(2)+(10-IDIV)*PMU(2))) IF(IDIV.LE.9.AND.PMG(1)+PMG(2).GT.0.9*PMMX) GOTO 240 ENDIF RET1=PMG(1) RET2=PMG(2) C...Evaluate importance of excluded tails of Breit-Wigners. IF(MEQL.EQ.0.AND.MBW(1).EQ.1.AND.MBW(2).EQ.1.AND.PMD(1)+PMD(2). & GT.PMMX.AND.PMH(1).GT.PML(1).AND.PMH(2).GT.PML(2)) MEQL=2 IF(MEQL.LE.1) THEN VINT(80)=1. DO 250 I=1,2 IF(MBW(I).NE.0) VINT(80)=VINT(80)*1.25*(ATU(I)-ATL(I))/PARU(1) 250 CONTINUE ELSE VINT(80)=(1.25/PARU(1))**2*MAX((ATU(1)-ATL(1))* & (ATH(2)-ATL(2)),(ATH(1)-ATL(1))*(ATU(2)-ATL(2))) ENDIF IF((ISUB.EQ.15.OR.ISUB.EQ.19.OR.ISUB.EQ.30.OR.ISUB.EQ.35).AND. & MSTP(43).NE.2) VINT(80)=2.*VINT(80) IF(ISUB.EQ.22.AND.MSTP(43).NE.2) VINT(80)=4.*VINT(80) IF(MEQL.GE.1) VINT(80)=2.*VINT(80) C...Pick one particle to be the lighter (if improves efficiency). ELSEIF(MOFSH.EQ.4) THEN IF(MEQL.EQ.0.AND.MBW(1).EQ.1.AND.MBW(2).EQ.1.AND.PMD(1)+PMD(2). & GT.PMMX.AND.PMH(1).GT.PML(1).AND.PMH(2).GT.PML(2)) MEQL=2 260 IF(MEQL.EQ.2) MLM=INT(1.5+RLU(0)) C...Select two masses according to Breit-Wigner + flat in s + 1/s. DO 270 I=1,2 IF(MBW(I).EQ.0) GOTO 270 PMV=PMU(I) IF(MEQL.EQ.2.AND.I.EQ.MLM) PMV=PMH(I) ATV=ATU(I) IF(MEQL.EQ.2.AND.I.EQ.MLM) ATV=ATH(I) RBR=RLU(0) IF((ISUB.EQ.15.OR.ISUB.EQ.19.OR.ISUB.EQ.22.OR.ISUB.EQ.30.OR. & ISUB.EQ.35).AND.MSTP(43).NE.2) RBR=2.*RBR IF(RBR.LT.0.8) THEN PMSR=PMD(I)**2+PMD(I)*PGD(I)*TAN(ATL(I)+RLU(0)*(ATV-ATL(I))) PMG(I)=MIN(PMV,MAX(PML(I),SQRT(MAX(0.,PMSR)))) ELSEIF(RBR.LT.0.9) THEN PMG(I)=SQRT(MAX(0.,PML(I)**2+RLU(0)*(PMV**2-PML(I)**2))) ELSEIF(RBR.LT.1.5) THEN PMG(I)=PML(I)*(PMV/PML(I))**RLU(0) ELSE PMG(I)=SQRT(MAX(0.,PML(I)**2*PMV**2/(PML(I)**2+RLU(0)* & (PMV**2-PML(I)**2)))) ENDIF 270 CONTINUE IF((MEQL.GE.1.AND.PMG(MAX(1,MLM)).GT.PMG(MIN(2,3-MLM))).OR. & PMG(1)+PMG(2)+PARJ(64).GT.PMMX) THEN IF(MINT(48).EQ.1) THEN NGEN(0,1)=NGEN(0,1)+1 NGEN(MINT(1),1)=NGEN(MINT(1),1)+1 GOTO 260 ELSE MINT(51)=1 RETURN ENDIF ENDIF RET1=PMG(1) RET2=PMG(2) C...Give weight for selected mass distribution. VINT(80)=1. DO 280 I=1,2 IF(MBW(I).EQ.0) GOTO 280 PMV=PMU(I) IF(MEQL.EQ.2.AND.I.EQ.MLM) PMV=PMH(I) ATV=ATU(I) IF(MEQL.EQ.2.AND.I.EQ.MLM) ATV=ATH(I) F0=PMD(I)*PGD(I)/((PMG(I)**2-PMD(I)**2)**2+ & (PMD(I)*PGD(I))**2)/PARU(1) F1=1. F2=1./PMG(I)**2 F3=1./PMG(I)**4 FI0=(ATV-ATL(I))/PARU(1) FI1=PMV**2-PML(I)**2 FI2=2.*LOG(PMV/PML(I)) FI3=1./PML(I)**2-1./PMV**2 IF((ISUB.EQ.15.OR.ISUB.EQ.19.OR.ISUB.EQ.22.OR.ISUB.EQ.30.OR. & ISUB.EQ.35).AND.MSTP(43).NE.2) THEN VINT(80)=VINT(80)*20./(8.+(FI0/F0)*(F1/FI1+6.*F2/FI2+ & 5.*F3/FI3)) ELSE VINT(80)=VINT(80)*10./(8.+(FI0/F0)*(F1/FI1+F2/FI2)) ENDIF VINT(80)=VINT(80)*FI0 280 CONTINUE IF(MEQL.GE.1) VINT(80)=2.*VINT(80) ELSEIF(MOFSH.EQ.5) THEN C...Find suitable set of masses for initialization of 2 -> 3 process. IDIV=6 290 IDIV=IDIV-1 IF(MBW(1).EQ.0) THEN PMG(1)=PMD(1) ELSE PMSR=PMD(1)**2+PMD(1)*PGD(1)*TAN(ATL(1)+0.1*IDIV*(ATU(1)- & ATL(1))) PMG(1)=MIN(PMU(1),MAX(PML(1),SQRT(MAX(0.,PMSR)))) ENDIF PMG(2)=PML(2)*(PMU(2)/PML(2))**(0.1*IDIV) IF(IDIV.GE.1.AND.PMG(1)+PMG(2).GT.0.9*PMMX) GOTO 290 RET1=PMG(1) RET2=PMG(2) C...Evaluate size of selected phase space volume. VINT(80)=2.*LOG(PMU(2)/PML(2)) IF(MBW(1).NE.0) VINT(80)=VINT(80)*1.25*(ATU(1)-ATL(1))/PARU(1) C...Pick decay angles. VINT(81)=0. VINT(82)=0.5*PARU(1) VINT(83)=1. VINT(84)=0. C...Select flavour of resonance decays. KFA=KFPR(ISUB,1) CALL PYWIDT(KFA,PMG(1)**2,WDTP,WDTE) IF(KCHG(KFA,3).EQ.0) THEN IPM=2 ELSE IPM=(5-ISIGN(1,KFA))/2 ENDIF WDTE0S=WDTE(0,1)+WDTE(0,IPM)+WDTE(0,4) IF(WDTE0S.LE.0.) THEN CALL LUERRM(12,'(PYOFSH:) no allowed resonace decay channel') MINT(51)=1 RETURN ENDIF WDTEC=0. DO 300 IDL=1,MDCY(KFA,3) WDTEK=WDTE(IDL,1)+WDTE(IDL,IPM)+WDTE(IDL,4) IF(WDTEK.GT.WDTEC) THEN IDC=IDL+MDCY(KFA,2)-1 WDTEC=WDTEK ENDIF 300 CONTINUE MINT(35)=IDC C...Compensating factor for all flavours. KFL=IABS(KFDP(IDC,1)) QFL=KCHG(KFL,1)/3. AFL=SIGN(1.,QFL+0.1) VFL=AFL-4.*PARU(102)*QFL WDTEK=VFL**2+AFL**2 VINT(80)=VINT(80)*WDTE0S/WDTEK ELSEIF(MOFSH.EQ.6) THEN C...Select two masses, one basically Breit-Wigner, other dm^2/m^2. IF(MBW(1).NE.0) THEN RBR=RLU(0) IF(RBR.LT.0.8) THEN PMSR=PMD(1)**2+PMD(1)*PGD(1)*TAN(ATL(1)+RLU(0)* & (ATU(1)-ATL(1))) PMG(1)=MIN(PMU(1),MAX(PML(1),SQRT(MAX(0.,PMSR)))) ELSEIF(RBR.LT.0.9) THEN PMG(1)=SQRT(MAX(0.,PML(1)**2+RLU(0)*(PMU(1)**2-PML(1)**2))) ELSE PMG(1)=PML(1)*(PMU(1)/PML(1))**RLU(0) ENDIF ENDIF PMG(2)=PML(2)*(PMU(2)/PML(2))**RLU(0) IF(SQRT(MAX(0.,1.-(PML(2)/PMG(2))**2)).LT.RLU(0).OR. & PMG(1)+PMG(2)+PARJ(64).GT.PMMX) THEN MINT(51)=1 RETURN ENDIF RET1=PMG(1) RET2=PMG(2) C...Give weight for selected mass distribution. VINT(80)=2.*LOG(PMU(2)/PML(2)) IF(MBW(1).NE.0) THEN F0=PMD(1)*PGD(1)/((PMG(1)**2-PMD(1)**2)**2+ & (PMD(1)*PGD(1))**2)/PARU(1) F1=1. F2=1./PMG(1)**2 FI0=(ATU(1)-ATL(1))/PARU(1) FI1=PMU(1)**2-PML(1)**2 FI2=2.*LOG(PMU(1)/PML(1)) VINT(80)=VINT(80)*10.*FI0/(8.+(FI0/F0)*(F1/FI1+F2/FI2)) ENDIF C...Select decay angles. VINT(81)=2.*RLU(0)-1. VINT(82)=PARU(2)*RLU(0) VINT(83)=2.*RLU(0)-1. VINT(84)=PARU(2)*RLU(0) C...Select flavour of resonance decays. KFA=KFPR(ISUB,1) CALL PYWIDT(KFA,PMG(1)**2,WDTP,WDTE) IF(KCHG(KFA,3).EQ.0) THEN IPM=2 ELSE IPM=(5-ISIGN(1,KFA))/2 ENDIF WDTE0S=WDTE(0,1)+WDTE(0,IPM)+WDTE(0,4) IF(WDTE0S.LE.0.) THEN CALL LUERRM(12,'(PYOFSH:) no allowed resonace decay channel') MINT(51)=1 RETURN ENDIF RKFL=WDTE0S*RLU(0) IDL=0 310 IDL=IDL+1 IDC=IDL+MDCY(KFA,2)-1 RKFL=RKFL-(WDTE(IDL,1)+WDTE(IDL,IPM)+WDTE(IDL,4)) IF(IDL.LT.MDCY(KFA,3).AND.RKFL.GT.0.) GOTO 310 MINT(35)=IDC C...Compensating factor for all flavours. KFL=IABS(KFDP(IDC,1)) QFL=KCHG(KFL,1)/3. AFL=SIGN(1.,QFL+0.1) VFL=AFL-4.*PARU(102)*QFL WDTEK=VFL**2+AFL**2 VINT(80)=VINT(80)*WDTE0S/WDTEK ENDIF RETURN END C*********************************************************************** SUBROUTINE PYKLIM(ILIM) C...Checks generated variables against pre-set kinematical limits; C...also calculates limits on variables used in generation. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/ C...Common kinematical expressions. MINT(51)=0 ISUB=MINT(1) ISTSB=ISET(ISUB) IF(ISUB.EQ.96) GOTO 110 SQM3=VINT(63) SQM4=VINT(64) IF(ILIM.NE.0) THEN IF(ABS(SQM3).LT.1E-4.AND.ABS(SQM4).LT.1E-4) THEN CKIN09=MAX(CKIN(9),CKIN(13)) CKIN10=MIN(CKIN(10),CKIN(14)) CKIN11=MAX(CKIN(11),CKIN(15)) CKIN12=MIN(CKIN(12),CKIN(16)) ELSE CKIN09=MAX(CKIN(9),MIN(0.,CKIN(13))) CKIN10=MIN(CKIN(10),MAX(0.,CKIN(14))) CKIN11=MAX(CKIN(11),MIN(0.,CKIN(15))) CKIN12=MIN(CKIN(12),MAX(0.,CKIN(16))) ENDIF ENDIF IF(ILIM.NE.1) THEN TAU=VINT(21) RM3=SQM3/(TAU*VINT(2)) RM4=SQM4/(TAU*VINT(2)) BE34=SQRT(MAX(1E-20,(1.-RM3-RM4)**2-4.*RM3*RM4)) ENDIF PTHMIN=CKIN(3) IF(MIN(SQM3,SQM4).LT.CKIN(6)**2.AND.ISTSB.NE.1.AND.ISTSB.NE.3) &PTHMIN=MAX(CKIN(3),CKIN(5)) IF(ILIM.EQ.0) THEN C...Check generated values of tau, y*, cos(theta-hat), and tau' against C...pre-set kinematical limits. YST=VINT(22) CTH=VINT(23) TAUP=VINT(26) TAUE=TAU IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUE=TAUP X1=SQRT(TAUE)*EXP(YST) X2=SQRT(TAUE)*EXP(-YST) XF=X1-X2 IF(MINT(47).NE.1) THEN IF(TAU*VINT(2).LT.CKIN(1)**2) MINT(51)=1 IF(CKIN(2).GE.0..AND.TAU*VINT(2).GT.CKIN(2)**2) MINT(51)=1 IF(YST.LT.CKIN(7).OR.YST.GT.CKIN(8)) MINT(51)=1 IF(XF.LT.CKIN(25).OR.XF.GT.CKIN(26)) MINT(51)=1 ENDIF IF(MINT(45).NE.1) THEN IF(X1.LT.CKIN(21).OR.X1.GT.CKIN(22)) MINT(51)=1 ENDIF IF(MINT(46).NE.1) THEN IF(X2.LT.CKIN(23).OR.X2.GT.CKIN(24)) MINT(51)=1 ENDIF IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) THEN PTH=0.5*BE34*SQRT(TAU*VINT(2)*MAX(0.,1.-CTH**2)) EXPY3=MAX(1.E-10,(1.+RM3-RM4+BE34*CTH)/ & MAX(1.E-10,(1.+RM3-RM4-BE34*CTH))) EXPY4=MAX(1.E-10,(1.-RM3+RM4-BE34*CTH)/ & MAX(1.E-10,(1.-RM3+RM4+BE34*CTH))) Y3=YST+0.5*LOG(EXPY3) Y4=YST+0.5*LOG(EXPY4) YLARGE=MAX(Y3,Y4) YSMALL=MIN(Y3,Y4) ETALAR=10. ETASMA=-10. STH=SQRT(MAX(0.,1.-CTH**2)) EXSQ3=SQRT(MAX(1E-20,((1.+RM3-RM4)*COSH(YST)+BE34*SINH(YST)* & CTH)**2-4.*RM3)) EXSQ4=SQRT(MAX(1E-20,((1.-RM3+RM4)*COSH(YST)-BE34*SINH(YST)* & CTH)**2-4.*RM4)) IF(STH.GE.1.E-6) THEN EXPET3=((1.+RM3-RM4)*SINH(YST)+BE34*COSH(YST)*CTH+EXSQ3)/ & (BE34*STH) EXPET4=((1.-RM3+RM4)*SINH(YST)-BE34*COSH(YST)*CTH+EXSQ4)/ & (BE34*STH) ETA3=LOG(MIN(1.E10,MAX(1.E-10,EXPET3))) ETA4=LOG(MIN(1.E10,MAX(1.E-10,EXPET4))) ETALAR=MAX(ETA3,ETA4) ETASMA=MIN(ETA3,ETA4) ENDIF CTS3=((1.+RM3-RM4)*SINH(YST)+BE34*COSH(YST)*CTH)/EXSQ3 CTS4=((1.-RM3+RM4)*SINH(YST)-BE34*COSH(YST)*CTH)/EXSQ4 CTSLAR=MIN(1.,MAX(CTS3,CTS4)) CTSSMA=MAX(-1.,MIN(CTS3,CTS4)) SH=TAU*VINT(2) RPTS=4.*VINT(71)**2/SH BE34L=SQRT(MAX(0.,(1.-RM3-RM4)**2-4.*RM3*RM4-RPTS)) RM34=MAX(1E-20,2.*RM3*RM4) RSQM=1.+RM34 IF(2.*VINT(71)**2/(VINT(21)*VINT(2)).LT.0.0001) & RM34=MAX(RM34,2.*VINT(71)**2/(VINT(21)*VINT(2))) RTHM=(4.*RM3*RM4+RPTS)/(1.-RM3-RM4+BE34L) THA=0.5*SH*MAX(RTHM,1.-RM3-RM4-BE34*CTH) UHA=0.5*SH*MAX(RTHM,1.-RM3-RM4+BE34*CTH) IF(PTH.LT.PTHMIN) MINT(51)=1 IF(CKIN(4).GE.0..AND.PTH.GT.CKIN(4)) MINT(51)=1 IF(YLARGE.LT.CKIN(9).OR.YLARGE.GT.CKIN(10)) MINT(51)=1 IF(YSMALL.LT.CKIN(11).OR.YSMALL.GT.CKIN(12)) MINT(51)=1 IF(ETALAR.LT.CKIN(13).OR.ETALAR.GT.CKIN(14)) MINT(51)=1 IF(ETASMA.LT.CKIN(15).OR.ETASMA.GT.CKIN(16)) MINT(51)=1 IF(CTSLAR.LT.CKIN(17).OR.CTSLAR.GT.CKIN(18)) MINT(51)=1 IF(CTSSMA.LT.CKIN(19).OR.CTSSMA.GT.CKIN(20)) MINT(51)=1 IF(CTH.LT.CKIN(27).OR.CTH.GT.CKIN(28)) MINT(51)=1 IF(THA.LT.CKIN(35)) MINT(51)=1 IF(CKIN(36).GE.0..AND.THA.GT.CKIN(36)) MINT(51)=1 IF(UHA.LT.CKIN(37)) MINT(51)=1 IF(CKIN(38).GE.0..AND.UHA.GT.CKIN(38)) MINT(51)=1 ENDIF IF(ISTSB.GE.3.AND.ISTSB.LE.5) THEN IF(TAUP*VINT(2).LT.CKIN(31)**2) MINT(51)=1 IF(CKIN(32).GE.0..AND.TAUP*VINT(2).GT.CKIN(32)**2) MINT(51)=1 ENDIF C...Additional p_T cuts on 2 -> 3 process. IF(ISTSB.EQ.6) THEN KFQ=KFPR(131,2) PMQQ=SQRT(VINT(64)) PMQ=PMAS(KFQ,1) PZQ=SQRT(MAX(0.,(0.5*PMQQ)**2-PMQ**2)) DO 100 I=MINT(84)+1,MINT(84)+2 K(I,1)=1 P(I,1)=0. P(I,2)=0. P(I,3)=PZQ*(-1.)**(I-1) P(I,4)=0.5*PMQQ P(I,5)=PMQ 100 CONTINUE PEQQ=0.5*SQRT(TAU*VINT(2))*(1.+(VINT(64)-VINT(63))/ & (TAU*VINT(2))) PZQQ=SQRT(MAX(0.,PEQQ**2-VINT(64))) CALL LUDBRB(MINT(84)+1,MINT(84)+2,ACOS(VINT(83)),VINT(84), & 0D0,0D0,-DBLE(PZQQ/PEQQ)) CALL LUDBRB(MINT(84)+1,MINT(84)+2,ACOS(VINT(23)),VINT(24), & 0D0,0D0,0D0) PTQ2=SQRT(P(MINT(84)+1,1)**2+P(MINT(84)+1,2)**2) PTQ3=SQRT(P(MINT(84)+2,1)**2+P(MINT(84)+2,2)**2) PTMNQ=MIN(PTQ2,PTQ3) PTMXQ=MAX(PTQ2,PTQ3) IF(PTMNQ.LT.CKIN(51)) MINT(51)=1 IF(CKIN(52).GE.0..AND.PTMNQ.GT.CKIN(52)) MINT(51)=1 IF(PTMXQ.LT.CKIN(53)) MINT(51)=1 IF(CKIN(54).GE.0..AND.PTMXQ.GT.CKIN(54)) MINT(51)=1 VINT(85)=PTMNQ VINT(86)=PTMXQ ENDIF ELSEIF(ILIM.EQ.1) THEN C...Calculate limits on tau C...0) due to definition TAUMN0=0. TAUMX0=1. C...1) due to limits on subsystem mass TAUMN1=CKIN(1)**2/VINT(2) TAUMX1=1. IF(CKIN(2).GE.0.) TAUMX1=CKIN(2)**2/VINT(2) C...2) due to limits on pT-hat (and non-overlapping rapidity intervals) TM3=SQRT(SQM3+PTHMIN**2) TM4=SQRT(SQM4+PTHMIN**2) YDCOSH=1. IF(CKIN09.GT.CKIN12) YDCOSH=COSH(CKIN09-CKIN12) TAUMN2=(TM3**2+2.*TM3*TM4*YDCOSH+TM4**2)/VINT(2) TAUMX2=1. C...3) due to limits on pT-hat and cos(theta-hat) CTH2MN=MIN(CKIN(27)**2,CKIN(28)**2) CTH2MX=MAX(CKIN(27)**2,CKIN(28)**2) TAUMN3=0. IF(CKIN(27)*CKIN(28).GT.0.) TAUMN3= & (SQRT(SQM3+PTHMIN**2/(1.-CTH2MN))+ & SQRT(SQM4+PTHMIN**2/(1.-CTH2MN)))**2/VINT(2) TAUMX3=1. IF(CKIN(4).GE.0..AND.CTH2MX.LT.1.) TAUMX3= & (SQRT(SQM3+CKIN(4)**2/(1.-CTH2MX))+ & SQRT(SQM4+CKIN(4)**2/(1.-CTH2MX)))**2/VINT(2) C...4) due to limits on x1 and x2 TAUMN4=CKIN(21)*CKIN(23) TAUMX4=CKIN(22)*CKIN(24) C...5) due to limits on xF TAUMN5=0. TAUMX5=MAX(1.-CKIN(25),1.+CKIN(26)) C...6) due to limits on that and uhat TAUMN6=(SQM3+SQM4+CKIN(35)+CKIN(37))/VINT(2) TAUMX6=1. IF(CKIN(36).GT.0..AND.CKIN(38).GT.0.) TAUMX6= & (SQM3+SQM4+CKIN(36)+CKIN(38))/VINT(2) C...Net effect of all separate limits. VINT(11)=MAX(TAUMN0,TAUMN1,TAUMN2,TAUMN3,TAUMN4,TAUMN5,TAUMN6) VINT(31)=MIN(TAUMX0,TAUMX1,TAUMX2,TAUMX3,TAUMX4,TAUMX5,TAUMX6) IF(MINT(47).EQ.1.AND.(ISTSB.EQ.1.OR.ISTSB.EQ.2.OR.ISTSB.EQ.6)) & THEN VINT(11)=0.99999 VINT(31)=1.00001 ENDIF IF(VINT(31).LE.VINT(11)) MINT(51)=1 ELSEIF(ILIM.EQ.2) THEN C...Calculate limits on y* TAUE=TAU IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUE=VINT(26) TAURT=SQRT(TAUE) C...0) due to kinematics YSTMN0=LOG(TAURT) YSTMX0=-YSTMN0 C...1) due to explicit limits YSTMN1=CKIN(7) YSTMX1=CKIN(8) C...2) due to limits on x1 YSTMN2=LOG(MAX(TAUE,CKIN(21))/TAURT) YSTMX2=LOG(MAX(TAUE,CKIN(22))/TAURT) C...3) due to limits on x2 YSTMN3=-LOG(MAX(TAUE,CKIN(24))/TAURT) YSTMX3=-LOG(MAX(TAUE,CKIN(23))/TAURT) C...4) due to limits on xF YEPMN4=0.5*ABS(CKIN(25))/TAURT YSTMN4=SIGN(LOG(MAX(1E-20,SQRT(1.+YEPMN4**2)+YEPMN4)),CKIN(25)) YEPMX4=0.5*ABS(CKIN(26))/TAURT YSTMX4=SIGN(LOG(MAX(1E-20,SQRT(1.+YEPMX4**2)+YEPMX4)),CKIN(26)) C...5) due to simultaneous limits on y-large and y-small YEPSMN=(RM3-RM4)*SINH(CKIN09-CKIN11) YEPSMX=(RM3-RM4)*SINH(CKIN10-CKIN12) YDIFMN=ABS(LOG(MAX(1E-20,SQRT(1.+YEPSMN**2)-YEPSMN))) YDIFMX=ABS(LOG(MAX(1E-20,SQRT(1.+YEPSMX**2)-YEPSMX))) YSTMN5=0.5*(CKIN09+CKIN11-YDIFMN) YSTMX5=0.5*(CKIN10+CKIN12+YDIFMX) C...6) due to simultaneous limits on cos(theta-hat) and y-large or C... y-small CTHLIM=SQRT(MAX(0.,1.-4.*PTHMIN**2/(BE34**2*TAUE*VINT(2)))) RZMN=BE34*MAX(CKIN(27),-CTHLIM) RZMX=BE34*MIN(CKIN(28),CTHLIM) YEX3MX=(1.+RM3-RM4+RZMX)/MAX(1E-10,1.+RM3-RM4-RZMX) YEX4MX=(1.+RM4-RM3-RZMN)/MAX(1E-10,1.+RM4-RM3+RZMN) YEX3MN=MAX(1E-10,1.+RM3-RM4+RZMN)/(1.+RM3-RM4-RZMN) YEX4MN=MAX(1E-10,1.+RM4-RM3-RZMX)/(1.+RM4-RM3+RZMX) YSTMN6=CKIN09-0.5*LOG(MAX(YEX3MX,YEX4MX)) YSTMX6=CKIN12-0.5*LOG(MIN(YEX3MN,YEX4MN)) C...Net effect of all separate limits. VINT(12)=MAX(YSTMN0,YSTMN1,YSTMN2,YSTMN3,YSTMN4,YSTMN5,YSTMN6) VINT(32)=MIN(YSTMX0,YSTMX1,YSTMX2,YSTMX3,YSTMX4,YSTMX5,YSTMX6) IF(MINT(47).EQ.1) THEN VINT(12)=-0.00001 VINT(32)=0.00001 ELSEIF(MINT(47).EQ.2) THEN VINT(12)=0.99999*YSTMX0 VINT(32)=1.00001*YSTMX0 ELSEIF(MINT(47).EQ.3) THEN VINT(12)=-1.00001*YSTMX0 VINT(32)=-0.99999*YSTMX0 ENDIF IF(VINT(32).LE.VINT(12)) MINT(51)=1 ELSEIF(ILIM.EQ.3) THEN C...Calculate limits on cos(theta-hat) YST=VINT(22) C...0) due to definition CTNMN0=-1. CTNMX0=0. CTPMN0=0. CTPMX0=1. C...1) due to explicit limits CTNMN1=MIN(0.,CKIN(27)) CTNMX1=MIN(0.,CKIN(28)) CTPMN1=MAX(0.,CKIN(27)) CTPMX1=MAX(0.,CKIN(28)) C...2) due to limits on pT-hat CTNMN2=-SQRT(MAX(0.,1.-4.*PTHMIN**2/(BE34**2*TAU*VINT(2)))) CTPMX2=-CTNMN2 CTNMX2=0. CTPMN2=0. IF(CKIN(4).GE.0.) THEN CTNMX2=-SQRT(MAX(0.,1.-4.*CKIN(4)**2/(BE34**2*TAU*VINT(2)))) CTPMN2=-CTNMX2 ENDIF C...3) due to limits on y-large and y-small CTNMN3=MIN(0.,MAX((1.+RM3-RM4)/BE34*TANH(CKIN11-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN10-YST))) CTNMX3=MIN(0.,(1.+RM3-RM4)/BE34*TANH(CKIN12-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN09-YST)) CTPMN3=MAX(0.,(1.+RM3-RM4)/BE34*TANH(CKIN09-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN12-YST)) CTPMX3=MAX(0.,MIN((1.+RM3-RM4)/BE34*TANH(CKIN10-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN11-YST))) C...4) due to limits on that CTNMN4=-1. CTNMX4=0. CTPMN4=0. CTPMX4=1. SH=TAU*VINT(2) IF(CKIN(35).GT.0.) THEN CTLIM=(1.-RM3-RM4-2.*CKIN(35)/SH)/BE34 IF(CTLIM.GT.0.) THEN CTPMX4=CTLIM ELSE CTPMX4=0. CTNMX4=CTLIM ENDIF ENDIF IF(CKIN(36).GT.0.) THEN CTLIM=(1.-RM3-RM4-2.*CKIN(36)/SH)/BE34 IF(CTLIM.LT.0.) THEN CTNMN4=CTLIM ELSE CTNMN4=0. CTPMN4=CTLIM ENDIF ENDIF C...5) due to limits on uhat CTNMN5=-1. CTNMX5=0. CTPMN5=0. CTPMX5=1. IF(CKIN(37).GT.0.) THEN CTLIM=(2.*CKIN(37)/SH-(1.-RM3-RM4))/BE34 IF(CTLIM.LT.0.) THEN CTNMN5=CTLIM ELSE CTNMN5=0. CTPMN5=CTLIM ENDIF ENDIF IF(CKIN(38).GT.0.) THEN CTLIM=(2.*CKIN(38)/SH-(1.-RM3-RM4))/BE34 IF(CTLIM.GT.0.) THEN CTPMX5=CTLIM ELSE CTPMX5=0. CTNMX5=CTLIM ENDIF ENDIF C...Net effect of all separate limits. VINT(13)=MAX(CTNMN0,CTNMN1,CTNMN2,CTNMN3,CTNMN4,CTNMN5) VINT(33)=MIN(CTNMX0,CTNMX1,CTNMX2,CTNMX3,CTNMX4,CTNMX5) VINT(14)=MAX(CTPMN0,CTPMN1,CTPMN2,CTPMN3,CTPMN4,CTPMN5) VINT(34)=MIN(CTPMX0,CTPMX1,CTPMX2,CTPMX3,CTPMX4,CTPMX5) IF(VINT(33).LE.VINT(13).AND.VINT(34).LE.VINT(14)) MINT(51)=1 ELSEIF(ILIM.EQ.4) THEN C...Calculate limits on tau' C...0) due to kinematics TAPMN0=TAU IF((ISTSB.EQ.5.OR.ISTSB.EQ.6).AND.KFPR(ISUB,2).GT.0) THEN PQRAT=2.*PMAS(KFPR(ISUB,2),1)/VINT(1) TAPMN0=(SQRT(TAU)+PQRAT)**2 ENDIF TAPMX0=1. C...1) due to explicit limits TAPMN1=CKIN(31)**2/VINT(2) TAPMX1=1. IF(CKIN(32).GE.0.) TAPMX1=CKIN(32)**2/VINT(2) C...Net effect of all separate limits. VINT(16)=MAX(TAPMN0,TAPMN1) VINT(36)=MIN(TAPMX0,TAPMX1) IF(MINT(47).EQ.1) THEN VINT(16)=0.99999 VINT(36)=1.00001 ENDIF IF(VINT(36).LE.VINT(16)) MINT(51)=1 ENDIF RETURN C...Special case for low-pT and multiple interactions: C...effective kinematical limits for tau, y*, cos(theta-hat). 110 IF(ILIM.EQ.0) THEN ELSEIF(ILIM.EQ.1) THEN IF(MSTP(82).LE.1) VINT(11)=4.*PARP(81)**2/VINT(2) IF(MSTP(82).GE.2) VINT(11)=PARP(82)**2/VINT(2) VINT(31)=1. ELSEIF(ILIM.EQ.2) THEN VINT(12)=0.5*LOG(VINT(21)) VINT(32)=-VINT(12) ELSEIF(ILIM.EQ.3) THEN IF(MSTP(82).LE.1) ST2EFF=4.*PARP(81)**2/(VINT(21)*VINT(2)) IF(MSTP(82).GE.2) ST2EFF=0.01*PARP(82)**2/(VINT(21)*VINT(2)) VINT(13)=-SQRT(MAX(0.,1.-ST2EFF)) VINT(33)=0. VINT(14)=0. VINT(34)=-VINT(13) ENDIF RETURN END C********************************************************************* SUBROUTINE PYKMAP(IVAR,MVAR,VVAR) C...Maps a uniform distribution into a distribution of a kinematical C...variable according to one of the possibilities allowed. It is C...assumed that kinematical limits have been set by a PYKLIM call. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/ C...Convert VVAR to tau variable. ISUB=MINT(1) ISTSB=ISET(ISUB) IF(IVAR.EQ.1) THEN TAUMIN=VINT(11) TAUMAX=VINT(31) IF(MVAR.EQ.3.OR.MVAR.EQ.4) THEN TAURE=VINT(73) GAMRE=VINT(74) ELSEIF(MVAR.EQ.5.OR.MVAR.EQ.6) THEN TAURE=VINT(75) GAMRE=VINT(76) ENDIF IF(MINT(47).EQ.1.AND.(ISTSB.EQ.1.OR.ISTSB.EQ.2.OR.ISTSB.EQ.6)) & THEN TAU=1. ELSEIF(MVAR.EQ.1) THEN TAU=TAUMIN*(TAUMAX/TAUMIN)**VVAR ELSEIF(MVAR.EQ.2) THEN TAU=TAUMAX*TAUMIN/(TAUMIN+(TAUMAX-TAUMIN)*VVAR) ELSEIF(MVAR.EQ.3.OR.MVAR.EQ.5) THEN RATGEN=(TAURE+TAUMAX)/(TAURE+TAUMIN)*TAUMIN/TAUMAX TAU=TAURE*TAUMIN/((TAURE+TAUMIN)*RATGEN**VVAR-TAUMIN) ELSEIF(MVAR.EQ.4.OR.MVAR.EQ.6) THEN AUPP=ATAN((TAUMAX-TAURE)/GAMRE) ALOW=ATAN((TAUMIN-TAURE)/GAMRE) TAU=TAURE+GAMRE*TAN(ALOW+(AUPP-ALOW)*VVAR) ELSE AUPP=LOG(MAX(2E-6,1.-TAUMAX)) ALOW=LOG(MAX(2E-6,1.-TAUMIN)) TAU=1.-EXP(AUPP+VVAR*(ALOW-AUPP)) ENDIF VINT(21)=MIN(TAUMAX,MAX(TAUMIN,TAU)) C...Convert VVAR to y* variable. ELSEIF(IVAR.EQ.2) THEN YSTMIN=VINT(12) YSTMAX=VINT(32) TAUE=VINT(21) IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUE=VINT(26) IF(MINT(47).EQ.1) THEN YST=0. ELSEIF(MINT(47).EQ.2) THEN YST=-0.5*LOG(TAUE) ELSEIF(MINT(47).EQ.3) THEN YST=0.5*LOG(TAUE) ELSEIF(MVAR.EQ.1) THEN YST=YSTMIN+(YSTMAX-YSTMIN)*SQRT(VVAR) ELSEIF(MVAR.EQ.2) THEN YST=YSTMAX-(YSTMAX-YSTMIN)*SQRT(1.-VVAR) ELSEIF(MVAR.EQ.3) THEN AUPP=ATAN(EXP(YSTMAX)) ALOW=ATAN(EXP(YSTMIN)) YST=LOG(TAN(ALOW+(AUPP-ALOW)*VVAR)) ELSEIF(MVAR.EQ.4) THEN YST0=-0.5*LOG(TAUE) AUPP=LOG(MAX(1E-6,EXP(YST0-YSTMIN)-1.)) ALOW=LOG(MAX(1E-6,EXP(YST0-YSTMAX)-1.)) YST=YST0-LOG(1.+EXP(ALOW+VVAR*(AUPP-ALOW))) ELSE YST0=-0.5*LOG(TAUE) AUPP=LOG(MAX(1E-6,EXP(YST0+YSTMIN)-1.)) ALOW=LOG(MAX(1E-6,EXP(YST0+YSTMAX)-1.)) YST=LOG(1.+EXP(AUPP+VVAR*(ALOW-AUPP)))-YST0 ENDIF VINT(22)=MIN(YSTMAX,MAX(YSTMIN,YST)) C...Convert VVAR to cos(theta-hat) variable. ELSEIF(IVAR.EQ.3) THEN RM34=MAX(1E-20,2.*VINT(63)*VINT(64)/(VINT(21)*VINT(2))**2) RSQM=1.+RM34 IF(2.*VINT(71)**2/(VINT(21)*VINT(2)).LT.0.0001) RM34=MAX(RM34, & 2.*VINT(71)**2/(VINT(21)*VINT(2))) CTNMIN=VINT(13) CTNMAX=VINT(33) CTPMIN=VINT(14) CTPMAX=VINT(34) IF(MVAR.EQ.1) THEN ANEG=CTNMAX-CTNMIN APOS=CTPMAX-CTPMIN IF(ANEG.GT.0..AND.VVAR*(ANEG+APOS).LE.ANEG) THEN VCTN=VVAR*(ANEG+APOS)/ANEG CTH=CTNMIN+(CTNMAX-CTNMIN)*VCTN ELSE VCTP=(VVAR*(ANEG+APOS)-ANEG)/APOS CTH=CTPMIN+(CTPMAX-CTPMIN)*VCTP ENDIF ELSEIF(MVAR.EQ.2) THEN RMNMIN=MAX(RM34,RSQM-CTNMIN) RMNMAX=MAX(RM34,RSQM-CTNMAX) RMPMIN=MAX(RM34,RSQM-CTPMIN) RMPMAX=MAX(RM34,RSQM-CTPMAX) ANEG=LOG(RMNMIN/RMNMAX) APOS=LOG(RMPMIN/RMPMAX) IF(ANEG.GT.0..AND.VVAR*(ANEG+APOS).LE.ANEG) THEN VCTN=VVAR*(ANEG+APOS)/ANEG CTH=RSQM-RMNMIN*(RMNMAX/RMNMIN)**VCTN ELSE VCTP=(VVAR*(ANEG+APOS)-ANEG)/APOS CTH=RSQM-RMPMIN*(RMPMAX/RMPMIN)**VCTP ENDIF ELSEIF(MVAR.EQ.3) THEN RMNMIN=MAX(RM34,RSQM+CTNMIN) RMNMAX=MAX(RM34,RSQM+CTNMAX) RMPMIN=MAX(RM34,RSQM+CTPMIN) RMPMAX=MAX(RM34,RSQM+CTPMAX) ANEG=LOG(RMNMAX/RMNMIN) APOS=LOG(RMPMAX/RMPMIN) IF(ANEG.GT.0..AND.VVAR*(ANEG+APOS).LE.ANEG) THEN VCTN=VVAR*(ANEG+APOS)/ANEG CTH=RMNMIN*(RMNMAX/RMNMIN)**VCTN-RSQM ELSE VCTP=(VVAR*(ANEG+APOS)-ANEG)/APOS CTH=RMPMIN*(RMPMAX/RMPMIN)**VCTP-RSQM ENDIF ELSEIF(MVAR.EQ.4) THEN RMNMIN=MAX(RM34,RSQM-CTNMIN) RMNMAX=MAX(RM34,RSQM-CTNMAX) RMPMIN=MAX(RM34,RSQM-CTPMIN) RMPMAX=MAX(RM34,RSQM-CTPMAX) ANEG=1./RMNMAX-1./RMNMIN APOS=1./RMPMAX-1./RMPMIN IF(ANEG.GT.0..AND.VVAR*(ANEG+APOS).LE.ANEG) THEN VCTN=VVAR*(ANEG+APOS)/ANEG CTH=RSQM-1./(1./RMNMIN+ANEG*VCTN) ELSE VCTP=(VVAR*(ANEG+APOS)-ANEG)/APOS CTH=RSQM-1./(1./RMPMIN+APOS*VCTP) ENDIF ELSEIF(MVAR.EQ.5) THEN RMNMIN=MAX(RM34,RSQM+CTNMIN) RMNMAX=MAX(RM34,RSQM+CTNMAX) RMPMIN=MAX(RM34,RSQM+CTPMIN) RMPMAX=MAX(RM34,RSQM+CTPMAX) ANEG=1./RMNMIN-1./RMNMAX APOS=1./RMPMIN-1./RMPMAX IF(ANEG.GT.0..AND.VVAR*(ANEG+APOS).LE.ANEG) THEN VCTN=VVAR*(ANEG+APOS)/ANEG CTH=1./(1./RMNMIN-ANEG*VCTN)-RSQM ELSE VCTP=(VVAR*(ANEG+APOS)-ANEG)/APOS CTH=1./(1./RMPMIN-APOS*VCTP)-RSQM ENDIF ENDIF IF(CTH.LT.0.) CTH=MIN(CTNMAX,MAX(CTNMIN,CTH)) IF(CTH.GT.0.) CTH=MIN(CTPMAX,MAX(CTPMIN,CTH)) VINT(23)=CTH C...Convert VVAR to tau' variable. ELSEIF(IVAR.EQ.4) THEN TAU=VINT(21) TAUPMN=VINT(16) TAUPMX=VINT(36) IF(MINT(47).EQ.1) THEN TAUP=1. ELSEIF(MVAR.EQ.1) THEN TAUP=TAUPMN*(TAUPMX/TAUPMN)**VVAR ELSEIF(MVAR.EQ.2) THEN AUPP=(1.-TAU/TAUPMX)**4 ALOW=(1.-TAU/TAUPMN)**4 TAUP=TAU/MAX(1E-7,1.-(ALOW+(AUPP-ALOW)*VVAR)**0.25) ELSE AUPP=LOG(MAX(2E-6,1.-TAUPMX)) ALOW=LOG(MAX(2E-6,1.-TAUPMN)) TAUP=1.-EXP(AUPP+VVAR*(ALOW-AUPP)) ENDIF VINT(26)=MIN(TAUPMX,MAX(TAUPMN,TAUP)) C...Selection of extra variables needed in 2 -> 3 process: C...pT1, pT2, phi1, phi2, y3 for three outgoing particles. C...Since no options are available, the functions of PYKLIM C...and PYKMAP are joint for these choices. ELSEIF(IVAR.EQ.5) THEN C...Read out total energy and particle masses. MINT(51)=0 MPTPK=1 IF(ISUB.EQ.123.OR.ISUB.EQ.124.OR.ISUB.EQ.173.OR.ISUB.EQ.174. & OR.ISUB.EQ.178.OR.ISUB.EQ.179) MPTPK=2 SHP=VINT(26)*VINT(2) SHPR=SQRT(SHP) PM1=VINT(201) PM2=VINT(206) PM3=SQRT(VINT(21))*VINT(1) IF(PM1+PM2+PM3.GT.0.9999*SHPR) THEN MINT(51)=1 RETURN ENDIF PMRS1=VINT(204)**2 PMRS2=VINT(209)**2 C...Specify coefficients of pT choice; upper and lower limits. IF(MPTPK.EQ.1) THEN HWT1=0.4 HWT2=0.4 ELSE HWT1=0.05 HWT2=0.05 ENDIF HWT3=1.-HWT1-HWT2 PTSMX1=((SHP-PM1**2-(PM2+PM3)**2)**2-(2.*PM1*(PM2+PM3))**2)/ & (4.*SHP) IF(CKIN(52).GT.0.) PTSMX1=MIN(PTSMX1,CKIN(52)**2) PTSMN1=CKIN(51)**2 PTSMX2=((SHP-PM2**2-(PM1+PM3)**2)**2-(2.*PM2*(PM1+PM3))**2)/ & (4.*SHP) IF(CKIN(54).GT.0.) PTSMX2=MIN(PTSMX2,CKIN(54)**2) PTSMN2=CKIN(53)**2 C...Select transverse momenta according to C...dp_T^2 * (a + b/(M^2 + p_T^2) + c/(M^2 + p_T^2)^2). HMX=PMRS1+PTSMX1 HMN=PMRS1+PTSMN1 IF(HMX.LT.1.0001*HMN) THEN MINT(51)=1 RETURN ENDIF HDE=PTSMX1-PTSMN1 RPT=RLU(0) IF(RPT.LT.HWT1) THEN PTS1=PTSMN1+RLU(0)*HDE ELSEIF(RPT.LT.HWT1+HWT2) THEN PTS1=MAX(PTSMN1,HMN*(HMX/HMN)**RLU(0)-PMRS1) ELSE PTS1=MAX(PTSMN1,HMN*HMX/(HMN+RLU(0)*HDE)-PMRS1) ENDIF WTPTS1=HDE/(HWT1+HWT2*HDE/(LOG(HMX/HMN)*(PMRS1+PTS1))+ & HWT3*HMN*HMX/(PMRS1+PTS1)**2) HMX=PMRS2+PTSMX2 HMN=PMRS2+PTSMN2 IF(HMX.LT.1.0001*HMN) THEN MINT(51)=1 RETURN ENDIF HDE=PTSMX2-PTSMN2 RPT=RLU(0) IF(RPT.LT.HWT1) THEN PTS2=PTSMN2+RLU(0)*HDE ELSEIF(RPT.LT.HWT1+HWT2) THEN PTS2=MAX(PTSMN2,HMN*(HMX/HMN)**RLU(0)-PMRS2) ELSE PTS2=MAX(PTSMN2,HMN*HMX/(HMN+RLU(0)*HDE)-PMRS2) ENDIF WTPTS2=HDE/(HWT1+HWT2*HDE/(LOG(HMX/HMN)*(PMRS2+PTS2))+ & HWT3*HMN*HMX/(PMRS2+PTS2)**2) C...Select azimuthal angles and check pT choice. PHI1=PARU(2)*RLU(0) PHI2=PARU(2)*RLU(0) PHIR=PHI2-PHI1 PTS3=MAX(0.,PTS1+PTS2+2.*SQRT(PTS1*PTS2)*COS(PHIR)) IF(PTS3.LT.CKIN(55)**2.OR.(CKIN(56).GT.0..AND.PTS3.GT. & CKIN(56)**2)) THEN MINT(51)=1 RETURN ENDIF C...Calculate transverse masses and check phase space not closed. PMS1=PM1**2+PTS1 PMS2=PM2**2+PTS2 PMS3=PM3**2+PTS3 PMT1=SQRT(PMS1) PMT2=SQRT(PMS2) PMT3=SQRT(PMS3) PM12=(PMT1+PMT2)**2 IF(PMT1+PMT2+PMT3.GT.0.9999*SHPR) THEN MINT(51)=1 RETURN ENDIF C...Select rapidity for particle 3 and check phase space not closed. Y3MAX=LOG((SHP+PMS3-PM12+SQRT(MAX(0.,(SHP-PMS3-PM12)**2- & 4.*PMS3*PM12)))/(2.*SHPR*PMT3)) IF(Y3MAX.LT.1E-6) THEN MINT(51)=1 RETURN ENDIF Y3=(2.*RLU(0)-1.)*0.999999*Y3MAX PZ3=PMT3*SINH(Y3) PE3=PMT3*COSH(Y3) C...Find momentum transfers in two mirror solutions (in 1-2 frame). PZ12=-PZ3 PE12=SHPR-PE3 PMS12=PE12**2-PZ12**2 SQL12=SQRT(MAX(0.,(PMS12-PMS1-PMS2)**2-4.*PMS1*PMS2)) IF(SQL12.LT.1E-6*SHP) THEN MINT(51)=1 RETURN ENDIF PMM1=PMS12+PMS1-PMS2 PMM2=PMS12+PMS2-PMS1 TFAC=-SHPR/(2.*PMS12) T1P=TFAC*(PE12-PZ12)*(PMM1-SQL12) T1N=TFAC*(PE12-PZ12)*(PMM1+SQL12) T2P=TFAC*(PE12+PZ12)*(PMM2-SQL12) T2N=TFAC*(PE12+PZ12)*(PMM2+SQL12) C...Construct relative mirror weights and make choice. IF(MPTPK.EQ.1) THEN WTPU=1. WTNU=1. ELSE WTPU=1./((T1P-PMRS1)*(T2P-PMRS2))**2 WTNU=1./((T1N-PMRS1)*(T2N-PMRS2))**2 ENDIF WTP=WTPU/(WTPU+WTNU) WTN=WTNU/(WTPU+WTNU) EPS=1. IF(WTN.GT.RLU(0)) EPS=-1. C...Store result of variable choice and associated weights. VINT(202)=PTS1 VINT(207)=PTS2 VINT(203)=PHI1 VINT(208)=PHI2 VINT(205)=WTPTS1 VINT(210)=WTPTS2 VINT(211)=Y3 VINT(212)=Y3MAX VINT(213)=EPS IF(EPS.GT.0.) THEN VINT(214)=1./WTP VINT(215)=T1P VINT(216)=T2P ELSE VINT(214)=1./WTN VINT(215)=T1N VINT(216)=T2N ENDIF VINT(217)=-0.5*TFAC*(PE12-PZ12)*(PMM2+EPS*SQL12) VINT(218)=-0.5*TFAC*(PE12+PZ12)*(PMM1+EPS*SQL12) VINT(219)=0.5*(PMS12-PTS3) VINT(220)=SQL12 ENDIF RETURN END C*********************************************************************** SUBROUTINE PYSIGH(NCHN,SIGS) C...Differential matrix elements for all included subprocesses. C...Note that what is coded is (disregarding the COMFAC factor) C...1) for 2 -> 1 processes: s-hat/pi*d(sigma-hat), where, C...when d(sigma-hat) is given in the zero-width limit, the delta C...function in tau is replaced by a (modified) Breit-Wigner: C...1/pi*s*H_res/((s*tau-m_res^2)^2+H_res^2), C...where H_res = s-hat/m_res*Gamma_res(s-hat); C...2) for 2 -> 2 processes: (s-hat)**2/pi*d(sigma-hat)/d(t-hat); C...i.e., dimensionless quantities. C...3) for 2 -> 3 processes: abs(M)^2, where the total cross-section is C...Integral abs(M)^2/(2shat') * (prod_(i=1)^3 d^3p_i/((2pi)^3*2E_i)) * C...(2pi)^4 delta^4(P - sum p_i). C...COMFAC contains the factor pi/s (or equivalent) and C...the conversion factor from GeV^-2 to mb. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT7/SIGT(0:6,0:6,0:5) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYINT7/ DIMENSION X(2),XPQ(-25:25),KFAC(2,-40:40),WDTP(0:40), &WDTE(0:40,0:5),HGZ(6,3),HL3(3),HR3(3),HL4(3),HR4(3) COMPLEX A004,A204,A114,A00U,A20U,A11U COMPLEX CIGTOT,CIZTOT,F0ALP,F1ALP,F2ALP,F0BET,F1BET,F2BET,FIF C...The following gives an interface for process 131, gg -> Zqq, C...to the matrix element package of Ronald Kleiss. COMMON/RKBBVC/RKMQ,RKMZ,RKGZ,RKVQ,RKAQ,RKVL,RKAL SAVE /RKBBVC/ DIMENSION RKG1(0:3),RKG2(0:3),RKQ1(0:3),RKQ2(0:3),RKL1(0:3), &RKL2(0:3) C...Reset number of channels and cross-section. NCHN=0 SIGS=0. C...Convert H' or A process into equivalent H one. ISUB=MINT(1) ISUBSV=ISUB IHIGG=1 KFHIGG=25 IF((ISUB.GE.151.AND.ISUB.LE.160).OR.(ISUB.GE.171.AND. &ISUB.LE.190)) THEN IHIGG=2 IF(MOD(ISUB-1,10).GE.5) IHIGG=3 KFHIGG=33+IHIGG IF(ISUB.EQ.151.OR.ISUB.EQ.156) ISUB=3 IF(ISUB.EQ.152.OR.ISUB.EQ.157) ISUB=102 IF(ISUB.EQ.153.OR.ISUB.EQ.158) ISUB=103 IF(ISUB.EQ.171.OR.ISUB.EQ.176) ISUB=24 IF(ISUB.EQ.172.OR.ISUB.EQ.177) ISUB=26 IF(ISUB.EQ.173.OR.ISUB.EQ.178) ISUB=123 IF(ISUB.EQ.174.OR.ISUB.EQ.179) ISUB=124 IF(ISUB.EQ.181.OR.ISUB.EQ.186) ISUB=121 IF(ISUB.EQ.182.OR.ISUB.EQ.187) ISUB=122 ENDIF C...Read kinematical variables and limits. ISTSB=ISET(ISUBSV) TAUMIN=VINT(11) YSTMIN=VINT(12) CTNMIN=VINT(13) CTPMIN=VINT(14) TAUPMN=VINT(16) TAU=VINT(21) YST=VINT(22) CTH=VINT(23) XT2=VINT(25) TAUP=VINT(26) TAUMAX=VINT(31) YSTMAX=VINT(32) CTNMAX=VINT(33) CTPMAX=VINT(34) TAUPMX=VINT(36) C...Derive kinematical quantities. TAUE=TAU IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUE=TAUP X(1)=SQRT(TAUE)*EXP(YST) X(2)=SQRT(TAUE)*EXP(-YST) IF(MINT(45).EQ.2.AND.ISTSB.GE.1) THEN IF(X(1).GT.0.9999) RETURN ELSEIF(MINT(45).EQ.3) THEN X(1)=MIN(0.9999989,X(1)) ENDIF IF(MINT(46).EQ.2.AND.ISTSB.GE.1) THEN IF(X(2).GT.0.9999) RETURN ELSEIF(MINT(46).EQ.3) THEN X(2)=MIN(0.9999989,X(2)) ENDIF SH=TAU*VINT(2) SQM3=VINT(63) SQM4=VINT(64) RM3=SQM3/SH RM4=SQM4/SH BE34=SQRT(MAX(0.,(1.-RM3-RM4)**2-4.*RM3*RM4)) RPTS=4.*VINT(71)**2/SH BE34L=SQRT(MAX(0.,(1.-RM3-RM4)**2-4.*RM3*RM4-RPTS)) RM34=MAX(1E-20,2.*RM3*RM4) RSQM=1.+RM34 IF(2.*VINT(71)**2/(VINT(21)*VINT(2)).LT.0.0001) RM34=MAX(RM34, &2.*VINT(71)**2/(VINT(21)*VINT(2))) RTHM=(4.*RM3*RM4+RPTS)/(1.-RM3-RM4+BE34L) IF(ISTSB.EQ.0) THEN TH=VINT(45) UH=-0.5*SH*MAX(RTHM,1.-RM3-RM4+BE34*CTH) SQPTH=MAX(VINT(71)**2,0.25*SH*BE34**2*VINT(59)**2) ELSE TH=-0.5*SH*MAX(RTHM,1.-RM3-RM4-BE34*CTH) UH=-0.5*SH*MAX(RTHM,1.-RM3-RM4+BE34*CTH) SQPTH=MAX(VINT(71)**2,0.25*SH*BE34**2*(1.-CTH**2)) ENDIF SH2=SH**2 TH2=TH**2 UH2=UH**2 C...Choice of Q2 scale: hard, structure functions, parton showers. IF(ISTSB.EQ.1.OR.ISTSB.EQ.3.OR.ISTSB.EQ.5) THEN Q2=SH ELSEIF(MOD(ISTSB,2).EQ.0.OR.ISTSB.EQ.9) THEN IF(MSTP(32).EQ.1) THEN Q2=2.*SH*TH*UH/(SH**2+TH**2+UH**2) ELSEIF(MSTP(32).EQ.2) THEN Q2=SQPTH+0.5*(SQM3+SQM4) ELSEIF(MSTP(32).EQ.3) THEN Q2=MIN(-TH,-UH) ELSEIF(MSTP(32).EQ.4) THEN Q2=SH ELSEIF(MSTP(32).EQ.5) THEN Q2=-TH ENDIF IF(ISTSB.EQ.9) Q2=SQPTH IF((ISTSB.EQ.9.AND.MSTP(82).GE.2).OR.(ISTSB.NE.9.AND. & MSTP(85).EQ.1)) Q2=Q2+PARP(82)**2 ENDIF Q2SF=Q2 IF(ISTSB.GE.3.AND.ISTSB.LE.5) THEN Q2SF=PMAS(23,1)**2 IF(ISUB.EQ.8.OR.ISUB.EQ.76.OR.ISUB.EQ.77.OR.ISUB.EQ.124) & Q2SF=PMAS(24,1)**2 IF(ISUB.EQ.121.OR.ISUB.EQ.122) Q2SF= & PMAS(KFPR(ISUBSV,2),1)**2 ENDIF Q2PS=Q2SF IF(MSTP(22).GE.1.AND.(ISUB.EQ.10.OR.ISUB.EQ.83).AND. &(MINT(43).EQ.2.OR.MINT(43).EQ.3)) THEN XBJ=X(2) IF(MINT(43).EQ.3) XBJ=X(1) IF(MSTP(22).EQ.1) THEN Q2PS=-TH ELSEIF(MSTP(22).EQ.2) THEN Q2PS=((1.-XBJ)/XBJ)*(-TH) ELSEIF(MSTP(22).EQ.3) THEN Q2PS=SQRT((1.-XBJ)/XBJ)*(-TH) ELSE Q2PS=(1.-XBJ)*MAX(1.,-LOG(XBJ))*(-TH) ENDIF ENDIF C...Store derived kinematical quantities. VINT(41)=X(1) VINT(42)=X(2) VINT(44)=SH VINT(43)=SQRT(SH) VINT(45)=TH VINT(46)=UH VINT(48)=SQPTH VINT(47)=SQRT(SQPTH) VINT(50)=TAUP*VINT(2) VINT(49)=SQRT(MAX(0.,VINT(50))) VINT(52)=Q2 VINT(51)=SQRT(Q2) VINT(54)=Q2SF VINT(53)=SQRT(Q2SF) VINT(56)=Q2PS VINT(55)=SQRT(Q2PS) C...Calculate parton structure functions. IF(ISTSB.LE.0) GOTO 160 IF(MINT(47).GE.2) THEN DO 110 I=3-MIN(2,MINT(45)),MIN(2,MINT(46)) XSF=X(I) IF(ISTSB.EQ.9) XSF=X(I)/VINT(142+I) IF(MSTP(57).NE.2) THEN CALL PYSTFU(MINT(10+I),XSF,Q2SF,XPQ) ELSE CALL PYSTFL(MINT(10+I),XSF,Q2SF,XPQ) ENDIF DO 100 KFL=-25,25 XSFX(I,KFL)=XPQ(KFL) 100 CONTINUE 110 CONTINUE ENDIF C...Calculate alpha_em, alpha_strong and K-factor. AEM=ULALEM(Q2) IF(MSTP(33).NE.3) AS=ULALPS(Q2) FACK=1. FACA=1. IF(MSTP(33).EQ.1) THEN FACK=PARP(31) ELSEIF(MSTP(33).EQ.2) THEN FACK=PARP(31) FACA=PARP(32)/PARP(31) ELSEIF(MSTP(33).EQ.3) THEN Q2AS=PARP(33)*Q2 IF(ISTSB.EQ.9.AND.MSTP(82).GE.2) Q2AS=Q2AS+ & PARU(112)*PARP(82) AS=ULALPS(Q2AS) ENDIF VINT(138)=1. VINT(57)=AEM VINT(58)=AS C...Set flags for allowed reacting partons/leptons. DO 140 I=1,2 DO 120 J=-25,25 KFAC(I,J)=0 120 CONTINUE IF(MINT(44+I).EQ.1) THEN KFAC(I,MINT(10+I))=1 ELSEIF(MINT(40+I).EQ.1.AND.MSTP(12).EQ.0) THEN KFAC(I,MINT(10+I))=1 KFAC(I,22)=1 KFAC(I,24)=1 KFAC(I,-24)=1 ELSE DO 130 J=-25,25 KFAC(I,J)=KFIN(I,J) IF(IABS(J).GT.MSTP(58).AND.IABS(J).LE.10) KFAC(I,J)=0 IF(XSFX(I,J).LT.1E-10) KFAC(I,J)=0 130 CONTINUE ENDIF 140 CONTINUE C...Lower and upper limit for fermion flavour loops. MIN1=0 MAX1=0 MIN2=0 MAX2=0 DO 150 J=-20,20 IF(KFAC(1,-J).EQ.1) MIN1=-J IF(KFAC(1,J).EQ.1) MAX1=J IF(KFAC(2,-J).EQ.1) MIN2=-J IF(KFAC(2,J).EQ.1) MAX2=J 150 CONTINUE MINA=MIN(MIN1,MIN2) MAXA=MAX(MAX1,MAX2) C...Common conversion factors (including Jacobian) for subprocesses. SQMZ=PMAS(23,1)**2 SQMW=PMAS(24,1)**2 SQMH=PMAS(KFHIGG,1)**2 GMMH=PMAS(KFHIGG,1)*PMAS(KFHIGG,2) SQMZP=PMAS(32,1)**2 SQMWP=PMAS(34,1)**2 SQMHC=PMAS(37,1)**2 SQMLQ=PMAS(39,1)**2 SQMR=PMAS(40,1)**2 XW=PARU(102) IF(ISUB.GE.71.AND.ISUB.LE.77) XW=1.-SQMW/SQMZ XWC=1./(16.*XW*(1.-XW)) C...Phase space integral in tau. COMFAC=PARU(1)*PARU(5)/VINT(2) IF(MINT(41).EQ.2.AND.MINT(42).EQ.2) COMFAC=COMFAC*FACK IF((MINT(47).GE.2.OR.(ISTSB.GE.3.AND.ISTSB.LE.5)).AND. &ISTSB.NE.9) THEN ATAU1=LOG(TAUMAX/TAUMIN) ATAU2=(TAUMAX-TAUMIN)/(TAUMAX*TAUMIN) H1=COEF(ISUBSV,1)+(ATAU1/ATAU2)*COEF(ISUBSV,2)/TAU IF(MINT(72).GE.1) THEN TAUR1=VINT(73) GAMR1=VINT(74) ATAUD=LOG(TAUMAX/TAUMIN*(TAUMIN+TAUR1)/(TAUMAX+TAUR1)) ATAU3=ATAUD/TAUR1 IF(ATAUD.GT.1E-6) H1=H1+ & (ATAU1/ATAU3)*COEF(ISUBSV,3)/(TAU+TAUR1) ATAUD=ATAN((TAUMAX-TAUR1)/GAMR1)-ATAN((TAUMIN-TAUR1)/GAMR1) ATAU4=ATAUD/GAMR1 IF(ATAUD.GT.1E-6) H1=H1+ & (ATAU1/ATAU4)*COEF(ISUBSV,4)*TAU/((TAU-TAUR1)**2+GAMR1**2) ENDIF IF(MINT(72).EQ.2) THEN TAUR2=VINT(75) GAMR2=VINT(76) ATAUD=LOG(TAUMAX/TAUMIN*(TAUMIN+TAUR2)/(TAUMAX+TAUR2)) ATAU5=ATAUD/TAUR2 IF(ATAUD.GT.1E-6) H1=H1+ & (ATAU1/ATAU5)*COEF(ISUBSV,5)/(TAU+TAUR2) ATAUD=ATAN((TAUMAX-TAUR2)/GAMR2)-ATAN((TAUMIN-TAUR2)/GAMR2) ATAU6=ATAUD/GAMR2 IF(ATAUD.GT.1E-6) H1=H1+ & (ATAU1/ATAU6)*COEF(ISUBSV,6)*TAU/((TAU-TAUR2)**2+GAMR2**2) ENDIF IF(MINT(47).EQ.5.AND.(ISTSB.LE.2.OR.ISTSB.GE.6)) THEN ATAU7=LOG(MAX(2E-6,1.-TAUMIN)/MAX(2E-6,1.-TAUMAX)) IF(ATAU7.GT.1E-6) H1=H1+(ATAU1/ATAU7)*COEF(ISUBSV,7)*TAU/ & MAX(2E-6,1.-TAU) ENDIF COMFAC=COMFAC*ATAU1/(TAU*H1) ENDIF C...Phase space integral in y*. IF(MINT(47).GE.4.AND.ISTSB.NE.9) THEN AYST0=YSTMAX-YSTMIN AYST1=0.5*(YSTMAX-YSTMIN)**2 AYST2=AYST1 AYST3=2.*(ATAN(EXP(YSTMAX))-ATAN(EXP(YSTMIN))) H2=(AYST0/AYST1)*COEF(ISUBSV,8)*(YST-YSTMIN)+ & (AYST0/AYST2)*COEF(ISUBSV,9)*(YSTMAX-YST)+ & (AYST0/AYST3)*COEF(ISUBSV,10)/COSH(YST) IF(MINT(45).EQ.3) THEN YST0=-0.5*LOG(TAUE) AYST4=LOG(MAX(1E-6,EXP(YST0-YSTMIN)-1.)/ & MAX(1E-6,EXP(YST0-YSTMAX)-1.)) IF(AYST4.GT.1E-6) H2=H2+(AYST0/AYST4)*COEF(ISUBSV,11)/ & MAX(1E-6,1.-EXP(YST-YST0)) ENDIF IF(MINT(46).EQ.3) THEN YST0=-0.5*LOG(TAUE) AYST5=LOG(MAX(1E-6,EXP(YST0+YSTMAX)-1.)/ & MAX(1E-6,EXP(YST0+YSTMIN)-1.)) IF(AYST5.GT.1E-6) H2=H2+(AYST0/AYST5)*COEF(ISUBSV,12)/ & MAX(1E-6,1.-EXP(-YST-YST0)) ENDIF COMFAC=COMFAC*AYST0/H2 ENDIF C...2 -> 1 processes: reduction in angular part of phase space integral C...for case of decaying resonance. ACTH0=CTNMAX-CTNMIN+CTPMAX-CTPMIN IF((ISTSB.EQ.1.OR.ISTSB.EQ.3.OR.ISTSB.EQ.5).AND. &MDCY(KFPR(ISUBSV,1),1).EQ.1) THEN IF(KFPR(ISUB,1).EQ.25.OR.KFPR(ISUB,1).EQ.37.OR.KFPR(ISUB,1).EQ. & 39) THEN COMFAC=COMFAC*0.5*ACTH0 ELSE COMFAC=COMFAC*0.125*(3.*ACTH0+CTNMAX**3-CTNMIN**3+ & CTPMAX**3-CTPMIN**3) ENDIF C...2 -> 2 processes: angular part of phase space integral. ELSEIF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) THEN ACTH1=LOG((MAX(RM34,RSQM-CTNMIN)*MAX(RM34,RSQM-CTPMIN))/ & (MAX(RM34,RSQM-CTNMAX)*MAX(RM34,RSQM-CTPMAX))) ACTH2=LOG((MAX(RM34,RSQM+CTNMAX)*MAX(RM34,RSQM+CTPMAX))/ & (MAX(RM34,RSQM+CTNMIN)*MAX(RM34,RSQM+CTPMIN))) ACTH3=1./MAX(RM34,RSQM-CTNMAX)-1./MAX(RM34,RSQM-CTNMIN)+ & 1./MAX(RM34,RSQM-CTPMAX)-1./MAX(RM34,RSQM-CTPMIN) ACTH4=1./MAX(RM34,RSQM+CTNMIN)-1./MAX(RM34,RSQM+CTNMAX)+ & 1./MAX(RM34,RSQM+CTPMIN)-1./MAX(RM34,RSQM+CTPMAX) H3=COEF(ISUBSV,13)+ & (ACTH0/ACTH1)*COEF(ISUBSV,14)/MAX(RM34,RSQM-CTH)+ & (ACTH0/ACTH2)*COEF(ISUBSV,15)/MAX(RM34,RSQM+CTH)+ & (ACTH0/ACTH3)*COEF(ISUBSV,16)/MAX(RM34,RSQM-CTH)**2+ & (ACTH0/ACTH4)*COEF(ISUBSV,17)/MAX(RM34,RSQM+CTH)**2 COMFAC=COMFAC*ACTH0*0.5*BE34/H3 C...2 -> 2 processes: take into account final state Breit-Wigners. COMFAC=COMFAC*VINT(80) ENDIF C...2 -> 3, 4 processes: phace space integral in tau'. IF(MINT(47).GE.2.AND.ISTSB.GE.3.AND.ISTSB.LE.5) THEN ATAUP1=LOG(TAUPMX/TAUPMN) ATAUP2=((1.-TAU/TAUPMX)**4-(1.-TAU/TAUPMN)**4)/(4.*TAU) H4=COEF(ISUBSV,18)+ & (ATAUP1/ATAUP2)*COEF(ISUBSV,19)*(1.-TAU/TAUP)**3/TAUP IF(MINT(47).EQ.5) THEN ATAUP3=LOG(MAX(2E-6,1.-TAUPMN)/MAX(2E-6,1.-TAUPMX)) H4=H4+(ATAUP1/ATAUP3)*COEF(ISUBSV,20)*TAUP/MAX(2E-6,1.-TAUP) ENDIF COMFAC=COMFAC*ATAUP1/H4 ENDIF C...2 -> 3, 4 processes: effective W/Z structure functions. IF(ISTSB.EQ.3.OR.ISTSB.EQ.4) THEN IF(1.-TAU/TAUP.GT.1.E-4) THEN FZW=(1.+TAU/TAUP)*LOG(TAUP/TAU)-2.*(1.-TAU/TAUP) ELSE FZW=1./6.*(1.-TAU/TAUP)**3*TAU/TAUP ENDIF COMFAC=COMFAC*FZW ENDIF C...2 -> 3 processes: phase space integrals for pT1, pT2, y3, mirror. IF(ISTSB.EQ.5) THEN COMFAC=COMFAC*VINT(205)*VINT(210)*VINT(212)*VINT(214)/ & (128.*PARU(1)**4*VINT(220))*(TAU**2/TAUP) ENDIF C...2 -> 2 processes: optional dampening by pT^4/(pT0^2+pT^2)^2. IF(MSTP(85).EQ.1.AND.MOD(ISTSB,2).EQ.0) COMFAC=COMFAC* &SQPTH**2/(PARP(82)**2+SQPTH)**2 C...Phase space integral for low-pT and multiple interactions. IF(ISTSB.EQ.9) THEN COMFAC=PARU(1)*PARU(5)*FACK*0.5*VINT(2)/SH2 ATAU1=LOG(2.*(1.+SQRT(1.-XT2))/XT2-1.) ATAU2=2.*ATAN(1./XT2-1.)/SQRT(XT2) H1=COEF(ISUBSV,1)+(ATAU1/ATAU2)*COEF(ISUBSV,2)/SQRT(TAU) COMFAC=COMFAC*ATAU1/H1 AYST0=YSTMAX-YSTMIN AYST1=0.5*(YSTMAX-YSTMIN)**2 AYST3=2.*(ATAN(EXP(YSTMAX))-ATAN(EXP(YSTMIN))) H2=(AYST0/AYST1)*COEF(ISUBSV,8)*(YST-YSTMIN)+ & (AYST0/AYST1)*COEF(ISUBSV,9)*(YSTMAX-YST)+ & (AYST0/AYST3)*COEF(ISUBSV,10)/COSH(YST) COMFAC=COMFAC*AYST0/H2 IF(MSTP(82).LE.1) COMFAC=COMFAC*XT2**2*(1./VINT(149)-1.) C...For MSTP(82)>=2 an additional factor (xT2/(xT2+VINT(149))**2 is C...introduced to make cross-section finite for xT2 -> 0. IF(MSTP(82).GE.2) COMFAC=COMFAC*XT2**2/(VINT(149)* & (1.+VINT(149))) ENDIF C...Strongly interacting Z_L/W_L model of Dobado, Herrero, Terron. IF((MSTP(46).GE.3.AND.MSTP(46).LE.6).AND.(ISUB.EQ.71.OR.ISUB.EQ. &72.OR.ISUB.EQ.73.OR.ISUB.EQ.76.OR.ISUB.EQ.77)) THEN C...Calculate M_R and N_R functions for Higgs-like and QCD-like models. IF(MSTP(46).LE.4) THEN HDTLH=LOG(PMAS(25,1)/PARP(44)) HDTMR=(4.5*PARU(1)/SQRT(3.)-74./9.)/8.+HDTLH/12. HDTNR=-1./18.+HDTLH/6. ELSE HDTNM=0.125*(1./(288.*PARU(1)**2)+(PARP(47)/PARP(45))**2) HDTLQ=LOG(PARP(45)/PARP(44)) HDTMR=-(4.*PARU(1))**2*0.5*HDTNM+HDTLQ/12. HDTNR=(4.*PARU(1))**2*HDTNM+HDTLQ/6. ENDIF C...Calculate lowest and next-to-lowest order partial wave amplitudes. HDTV=1./(16.*PARU(1)*PARP(47)**2) A00L=HDTV*SH A20L=-0.5*A00L A11L=A00L/6. HDTLS=LOG(SH/PARP(44)**2) A004=(HDTV*SH)**2/(4.*PARU(1))*CMPLX((176.*HDTMR+112.*HDTNR)/3.+ & 11./27.-(50./9.)*HDTLS,4.*PARU(1)) A204=(HDTV*SH)**2/(4.*PARU(1))*CMPLX(32.*(HDTMR+2.*HDTNR)/3.+ & 25./54.-(20./9.)*HDTLS,PARU(1)) A114=(HDTV*SH)**2/(6.*PARU(1))*CMPLX(4.*(-2.*HDTMR+HDTNR)- & 1./18.,PARU(1)/6.) C...Unitarize partial wave amplitudes with Pade or K-matrix method. IF(MSTP(46).EQ.3.OR.MSTP(46).EQ.5) THEN A00U=A00L/(1.-A004/A00L) A20U=A20L/(1.-A204/A20L) A11U=A11L/(1.-A114/A11L) ELSE A00U=(A00L+REAL(A004))/(1.-CMPLX(0.,A00L+REAL(A004))) A20U=(A20L+REAL(A204))/(1.-CMPLX(0.,A20L+REAL(A204))) A11U=(A11L+REAL(A114))/(1.-CMPLX(0.,A11L+REAL(A114))) ENDIF ENDIF C...A: 2 -> 1, tree diagrams. 160 IF(ISUB.LE.10) THEN IF(ISUB.EQ.1) THEN C...f + f~ -> gamma*/Z0. MINT(61)=2 CALL PYWIDT(23,SH,WDTP,WDTE) HP0=AEM/3.*SH HP1=AEM/3.*XWC*SH HS=HP1*WDTP(0) FACZ=4.*COMFAC*3. DO 170 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 170 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW HI0=HP0 IF(IABS(I).LE.10) HI0=HI0*FACA/3. HI1=HP1 IF(IABS(I).LE.10) HI1=HI1*FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACZ*(EI**2/SH2*HI0*HP0*VINT(111)+EI*VI*(1.-SQMZ/SH)/ & ((SH-SQMZ)**2+HS**2)*(HI0*HP1+HI1*HP0)*VINT(112)+ & (VI**2+AI**2)/((SH-SQMZ)**2+HS**2)*HI1*HP1*VINT(114)) 170 CONTINUE ELSEIF(ISUB.EQ.2) THEN C...f + f~' -> W+/-. CALL PYWIDT(24,SH,WDTP,WDTE) HP=AEM/(24.*XW)*SH HS=HP*WDTP(0) FACBW=4.*COMFAC/((SH-SQMW)**2+HS**2)*3. DO 190 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 190 IA=IABS(I) DO 180 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 180 JA=IABS(J) IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 180 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 180 KCHW=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 HI=HP*2. IF(IA.LE.10) HI=HI*VCKM((IA+1)/2,(JA+1)/2)*FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 HF=HP*(WDTE(0,1)+WDTE(0,(5-KCHW)/2)+WDTE(0,4)) SIGH(NCHN)=HI*FACBW*HF 180 CONTINUE 190 CONTINUE ELSEIF(ISUB.EQ.3) THEN C...f + f~ -> H0 (or H'0, or A0). CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=4.*COMFAC/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. DO 200 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 200 IA=IABS(I) RMQ=PMAS(IA,1)**2/SH HI=HP*RMQ IF(IA.LE.10) HI=HP*RMQ*FACA/3. IF(IA.LE.10.AND.MSTP(37).EQ.1) HI=HI* & (LOG(MAX(4.,PARP(37)**2*RMQ*SH/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN IKFI=1 IF(IA.LE.10.AND.MOD(IA,2).EQ.0) IKFI=2 IF(IA.GT.10) IKFI=3 HI=HI*PARU(150+10*IHIGG+IKFI)**2 ENDIF NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 200 CONTINUE ELSEIF(ISUB.EQ.4) THEN C...gamma + W+/- -> W+/-. ELSEIF(ISUB.EQ.5) THEN C...Z0 + Z0 -> H0. CALL PYWIDT(25,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=4.*COMFAC/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. HI=HP/4. FACI=8./(PARU(1)**2*(1.-XW))*(AEM*XWC)**2 DO 220 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 220 DO 210 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 210 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW EJ=KCHG(IABS(J),1)/3. AJ=SIGN(1.,EJ) VJ=AJ-4.*EJ*XW NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACI*(VI**2+AI**2)*(VJ**2+AJ**2)*HI*FACBW*HF 210 CONTINUE 220 CONTINUE ELSEIF(ISUB.EQ.6) THEN C...Z0 + W+/- -> W+/-. ELSEIF(ISUB.EQ.7) THEN C...W+ + W- -> Z0. ELSEIF(ISUB.EQ.8) THEN C...W+ + W- -> H0. CALL PYWIDT(25,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=4.*COMFAC/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. HI=HP/2. FACI=1./(4.*PARU(1)**2)*(AEM/XW)**2 DO 240 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 240 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 230 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 230 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.GT.0.) GOTO 230 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACI*VINT(180+I)*VINT(180+J)*HI*FACBW*HF 230 CONTINUE 240 CONTINUE C...B: 2 -> 2, tree diagrams. ELSEIF(ISUB.EQ.10) THEN C...f + f' -> f + f' (gamma/Z/W exchange). FACGGF=COMFAC*AEM**2*2.*(SH2+UH2)/TH2 FACGZF=COMFAC*AEM**2*XWC*4.*SH2/(TH*(TH-SQMZ)) FACZZF=COMFAC*(AEM*XWC)**2*2.*SH2/(TH-SQMZ)**2 FACWWF=COMFAC*(0.5*AEM/XW)**2*SH2/(TH-SQMW)**2 DO 260 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 260 IA=IABS(I) DO 250 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 250 JA=IABS(J) C...Electroweak couplings. EI=KCHG(IA,1)*ISIGN(1,I)/3. AI=SIGN(1.,KCHG(IA,1)+0.5)*ISIGN(1,I) VI=AI-4.*EI*XW EJ=KCHG(JA,1)*ISIGN(1,J)/3. AJ=SIGN(1.,KCHG(JA,1)+0.5)*ISIGN(1,J) VJ=AJ-4.*EJ*XW EPSIJ=ISIGN(1,I*J) C...gamma/Z exchange, only gamma exchange, or only Z exchange. IF(MSTP(21).GE.1.AND.MSTP(21).LE.4) THEN IF(MSTP(21).EQ.1.OR.MSTP(21).EQ.4) THEN FACNCF=FACGGF*EI**2*EJ**2+FACGZF*EI*EJ* & (VI*VJ*(1.+UH2/SH2)+AI*AJ*EPSIJ*(1.-UH2/SH2))+ & FACZZF*((VI**2+AI**2)*(VJ**2+AJ**2)*(1.+UH2/SH2)+ & 4.*VI*VJ*AI*AJ*EPSIJ*(1.-UH2/SH2)) ELSEIF(MSTP(21).EQ.2) THEN FACNCF=FACGGF*EI**2*EJ**2 ELSE FACNCF=FACZZF*((VI**2+AI**2)*(VJ**2+AJ**2)*(1.+UH2/SH2)+ & 4.*VI*VJ*AI*AJ*EPSIJ*(1.-UH2/SH2)) ENDIF NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACNCF ENDIF C...W exchange. IF((MSTP(21).EQ.1.OR.MSTP(21).EQ.5).AND.AI*AJ.LT.0.) THEN FACCCF=FACWWF*VINT(180+I)*VINT(180+J) IF(EPSIJ.LT.0.) FACCCF=FACCCF*UH2/SH2 IF(IA.GT.10.AND.MOD(IA,2).EQ.0) FACCCF=2.*FACCCF IF(JA.GT.10.AND.MOD(JA,2).EQ.0) FACCCF=2.*FACCCF NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=2 SIGH(NCHN)=FACCCF ENDIF 250 CONTINUE 260 CONTINUE ENDIF ELSEIF(ISUB.LE.20) THEN IF(ISUB.EQ.11) THEN C...f + f' -> f + f' (g exchange). FACQQ1=COMFAC*AS**2*4./9.*(SH2+UH2)/TH2 FACQQB=COMFAC*AS**2*4./9.*((SH2+UH2)/TH2*FACA- & MSTP(34)*2./3.*UH2/(SH*TH)) FACQQ2=COMFAC*AS**2*4./9.*((SH2+TH2)/UH2- & MSTP(34)*2./3.*SH2/(TH*UH)) IF(MSTP(5).GE.1) THEN C...Modifications from contact interactions (compositeness). FACCI1=FACQQ1+COMFAC*(SH2/PARU(155)**4) FACCIB=FACQQB+COMFAC*(8./9.)*(AS*PARU(156)/PARU(155)**2)* & (UH2/TH+UH2/SH)+COMFAC*(5./3.)*(UH2/PARU(155)**4) FACCI2=FACQQ2+COMFAC*(8./9.)*(AS*PARU(156)/PARU(155)**2)* & (SH2/TH+SH2/UH)+COMFAC*(5./3.)*(SH2/PARU(155)**4) ENDIF DO 280 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.MSTP(58).OR.KFAC(1,I).EQ.0) GOTO 280 DO 270 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.MSTP(58).OR.KFAC(2,J).EQ.0) GOTO 270 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 IF(MSTP(5).LE.0.OR.(MSTP(5).EQ.1.AND.(IA.GE.3.OR.JA.GE.3))) & THEN SIGH(NCHN)=FACQQ1 IF(I.EQ.-J) SIGH(NCHN)=FACQQB ELSE SIGH(NCHN)=FACCI1 IF(I.EQ.-J) SIGH(NCHN)=FACCIB ENDIF IF(I.EQ.J) THEN SIGH(NCHN)=0.5*SIGH(NCHN) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=2 IF(MSTP(5).LE.0.OR.(MSTP(5).EQ.1.AND.IA.GE.3)) THEN SIGH(NCHN)=0.5*FACQQ2 ELSE SIGH(NCHN)=0.5*FACCI2 ENDIF ENDIF 270 CONTINUE 280 CONTINUE ELSEIF(ISUB.EQ.12) THEN C...f + f~ -> f' + f~' (q + q~ -> q' + q~' only). CALL PYWIDT(21,SH,WDTP,WDTE) FACQQB=COMFAC*AS**2*4./9.*(TH2+UH2)/SH2*(WDTE(0,1)+WDTE(0,2)+ & WDTE(0,4)) IF(MSTP(5).EQ.1) THEN C...Modifications from contact interactions (compositeness). FACCIB=FACQQB DO 290 I=1,2 FACCIB=FACCIB+COMFAC*(UH2/PARU(155)**4)*(WDTE(I,1)+WDTE(I,2)+ & WDTE(I,4)) 290 CONTINUE ELSEIF(MSTP(5).GE.2) THEN FACCIB=FACQQB+COMFAC*(UH2/PARU(155)**4)*(WDTE(0,1)+WDTE(0,2)+ & WDTE(0,4)) ENDIF DO 300 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 300 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 IF(MSTP(5).LE.0.OR.(MSTP(5).EQ.1.AND.IABS(I).GE.3)) THEN SIGH(NCHN)=FACQQB ELSE SIGH(NCHN)=FACCIB ENDIF 300 CONTINUE ELSEIF(ISUB.EQ.13) THEN C...f + f~ -> g + g (q + q~ -> g + g only). FACGG1=COMFAC*AS**2*32./27.*(UH/TH-(2.+MSTP(34)*1./4.)*UH2/SH2) FACGG2=COMFAC*AS**2*32./27.*(TH/UH-(2.+MSTP(34)*1./4.)*TH2/SH2) DO 310 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 310 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=0.5*FACGG1 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=2 SIGH(NCHN)=0.5*FACGG2 310 CONTINUE ELSEIF(ISUB.EQ.14) THEN C...f + f~ -> g + gamma (q + q~ -> g + gamma only). FACGG=COMFAC*AS*AEM*8./9.*(TH2+UH2)/(TH*UH) DO 320 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 320 EI=KCHG(IABS(I),1)/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACGG*EI**2 320 CONTINUE ELSEIF(ISUB.EQ.15) THEN C...f + f~ -> g + (gamma*/Z0) (q + q~ -> g + (gamma*/Z0) only). FACZG=COMFAC*AS*AEM*(8./9.)*(TH2+UH2+2.*SQM4*SH)/(TH*UH) C...gamma, gamma/Z interference and Z couplings to final fermion pairs. HFGG=0. HFGZ=0. HFZZ=0. HBW4=0. RADC4=1.+ULALPS(SQM4)/PARU(1) DO 330 I=1,MIN(16,MDCY(23,3)) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 330 IMDM=0 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.2.OR.MDME(IDC,1).EQ.4) & IMDM=1 IF(I.LE.8) THEN EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ELSEIF(I.LE.16) THEN EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ENDIF RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SQM4 IF(4.*RM1.LT.1.) THEN FCOF=1. IF(I.LE.8) FCOF=3.*RADC4 BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(IMDM.EQ.1) THEN HFGG=HFGG+FCOF*EF**2*(1.+2.*RM1)*BE34 HFGZ=HFGZ+FCOF*EF*VF*(1.+2.*RM1)*BE34 HFZZ=HFZZ+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF HBW4=HBW4+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF 330 CONTINUE C...Propagators: as simulated in PYOFSH and as desired. GMMZ=PMAS(23,1)*PMAS(23,2) HBW4=HBW4*XWC*SQMZ/((SQM4-SQMZ)**2+GMMZ**2) MINT(15)=1 MINT(61)=1 CALL PYWIDT(23,SQM4,WDTP,WDTE) HFGG=HFGG*VINT(111)/SQM4 HFGZ=HFGZ*VINT(112)/SQM4 HFZZ=HFZZ*VINT(114)/SQM4 C...Loop over flavours; consider full gamma/Z structure. DO 340 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 340 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACZG*(EI**2*HFGG+EI*VI*HFGZ+ & (VI**2+AI**2)*HFZZ)/HBW4 340 CONTINUE ELSEIF(ISUB.EQ.16) THEN C...f + f~' -> g + W+/- (q + q~' -> g + W+/- only). FACWG=COMFAC*AS*AEM/XW*2./9.*(TH2+UH2+2.*SQM4*SH)/(TH*UH) DO 360 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.10.OR.KFAC(1,I).EQ.0) GOTO 360 DO 350 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.10.OR.KFAC(2,J).EQ.0) GOTO 350 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 350 KCHW=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 FCKM=VCKM((IA+1)/2,(JA+1)/2) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACWG*FCKM*WIDS(24,(5-KCHW)/2) 350 CONTINUE 360 CONTINUE ELSEIF(ISUB.EQ.17) THEN C...f + f~ -> g + H0 (q + q~ -> g + H0 only). ELSEIF(ISUB.EQ.18) THEN C...f + f~ -> gamma + gamma. FACGG=COMFAC*AEM**2*2.*(TH2+UH2)/(TH*UH) DO 370 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 370 EI=KCHG(IABS(I),1)/3. FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=0.5*FACGG*FCOI*EI**4 370 CONTINUE ELSEIF(ISUB.EQ.19) THEN C...f + f~ -> gamma + (gamma*/Z0). FACGZ=COMFAC*2.*AEM**2*(TH2+UH2+2.*SQM4*SH)/(TH*UH) C...gamma, gamma/Z interference and Z couplings to final fermion pairs. HFGG=0. HFGZ=0. HFZZ=0. HBW4=0. RADC4=1.+ULALPS(SQM4)/PARU(1) DO 380 I=1,MIN(16,MDCY(23,3)) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 380 IMDM=0 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.2.OR.MDME(IDC,1).EQ.4) & IMDM=1 IF(I.LE.8) THEN EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ELSEIF(I.LE.16) THEN EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ENDIF RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SQM4 IF(4.*RM1.LT.1.) THEN FCOF=1. IF(I.LE.8) FCOF=3.*RADC4 BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(IMDM.EQ.1) THEN HFGG=HFGG+FCOF*EF**2*(1.+2.*RM1)*BE34 HFGZ=HFGZ+FCOF*EF*VF*(1.+2.*RM1)*BE34 HFZZ=HFZZ+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF HBW4=HBW4+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF 380 CONTINUE C...Propagators: as simulated in PYOFSH and as desired. GMMZ=PMAS(23,1)*PMAS(23,2) HBW4=HBW4*XWC*SQMZ/((SQM4-SQMZ)**2+GMMZ**2) MINT(15)=1 MINT(61)=1 CALL PYWIDT(23,SQM4,WDTP,WDTE) HFGG=HFGG*VINT(111)/SQM4 HFGZ=HFGZ*VINT(112)/SQM4 HFZZ=HFZZ*VINT(114)/SQM4 C...Loop over flavours; consider full gamma/Z structure. DO 390 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 390 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACGZ*FCOI*EI**2*(EI**2*HFGG+EI*VI*HFGZ+ & (VI**2+AI**2)*HFZZ)/HBW4 390 CONTINUE ELSEIF(ISUB.EQ.20) THEN C...f + f~' -> gamma + W+/-. FACGW=COMFAC*0.5*AEM**2/XW TERM1=(TH2+UH2+2.*SQM4*SH)/(TH*UH) TERM2=0. TERM3=0. IF(MSTP(5).GE.1) THEN TERM2=PARU(153)*(TH-UH)/(TH+UH) TERM3=0.5*PARU(153)**2*(TH*UH+(TH2+UH2)*SH/ & (4.*PMAS(24,1)**2))/(TH+UH)**2 ENDIF DO 410 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.20.OR.KFAC(1,I).EQ.0) GOTO 410 DO 400 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.20.OR.KFAC(2,J).EQ.0) GOTO 400 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 400 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 400 KCHW=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 IF(IA.LE.10) THEN FACWR=UH/(TH+UH)-1./3. FCKM=VCKM((IA+1)/2,(JA+1)/2) FCOI=FACA/3. ELSE FACWR=-TH/(TH+UH) FCKM=1. FCOI=1. ENDIF FACWK=TERM1*FACWR**2+TERM2*FACWR+TERM3 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACGW*FACWK*FCOI*FCKM*WIDS(24,(5-KCHW)/2) 400 CONTINUE 410 CONTINUE ENDIF ELSEIF(ISUB.LE.30) THEN IF(ISUB.EQ.21) THEN C...f + f~ -> gamma + H0. ELSEIF(ISUB.EQ.22) THEN C...f + f~ -> (gamma*/Z0) + (gamma*/Z0). C...Kinematics dependence. FACZZ=COMFAC*AEM**2*((TH2+UH2+2.*(SQM3+SQM4)*SH)/(TH*UH)- & SQM3*SQM4*(1./TH2+1./UH2)) C...gamma, gamma/Z interference and Z couplings to final fermion pairs. DO 430 I=1,6 DO 420 J=1,3 HGZ(I,J)=0. 420 CONTINUE 430 CONTINUE HBW3=0. HBW4=0. RADC3=1.+ULALPS(SQM3)/PARU(1) RADC4=1.+ULALPS(SQM4)/PARU(1) DO 440 I=1,MIN(16,MDCY(23,3)) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 440 IMDM=0 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.2) IMDM=1 IF(MDME(IDC,1).EQ.4.OR.MDME(IDC,1).EQ.5) IMDM=MDME(IDC,1)-2 IF(I.LE.8) THEN EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ELSEIF(I.LE.16) THEN EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ENDIF RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SQM3 IF(4.*RM1.LT.1.) THEN FCOF=1. IF(I.LE.8) FCOF=3.*RADC3 BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(IMDM.GE.1) THEN HGZ(1,IMDM)=HGZ(1,IMDM)+FCOF*EF**2*(1.+2.*RM1)*BE34 HGZ(2,IMDM)=HGZ(2,IMDM)+FCOF*EF*VF*(1.+2.*RM1)*BE34 HGZ(3,IMDM)=HGZ(3,IMDM)+FCOF*(VF**2*(1.+2.*RM1)+ & AF**2*(1.-4.*RM1))*BE34 ENDIF HBW3=HBW3+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SQM4 IF(4.*RM1.LT.1.) THEN FCOF=1. IF(I.LE.8) FCOF=3.*RADC4 BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(IMDM.GE.1) THEN HGZ(4,IMDM)=HGZ(4,IMDM)+FCOF*EF**2*(1.+2.*RM1)*BE34 HGZ(5,IMDM)=HGZ(5,IMDM)+FCOF*EF*VF*(1.+2.*RM1)*BE34 HGZ(6,IMDM)=HGZ(6,IMDM)+FCOF*(VF**2*(1.+2.*RM1)+ & AF**2*(1.-4.*RM1))*BE34 ENDIF HBW4=HBW4+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF 440 CONTINUE C...Propagators: as simulated in PYOFSH and as desired. GMMZ=PMAS(23,1)*PMAS(23,2) HBW3=HBW3*XWC*SQMZ/((SQM3-SQMZ)**2+GMMZ**2) HBW4=HBW4*XWC*SQMZ/((SQM4-SQMZ)**2+GMMZ**2) MINT(15)=1 MINT(61)=1 CALL PYWIDT(23,SQM3,WDTP,WDTE) DO 450 J=1,3 HGZ(1,J)=HGZ(1,J)*VINT(111)/SQM3 HGZ(2,J)=HGZ(2,J)*VINT(112)/SQM3 HGZ(3,J)=HGZ(3,J)*VINT(114)/SQM3 450 CONTINUE MINT(61)=1 CALL PYWIDT(23,SQM4,WDTP,WDTE) DO 460 J=1,3 HGZ(4,J)=HGZ(4,J)*VINT(111)/SQM4 HGZ(5,J)=HGZ(5,J)*VINT(112)/SQM4 HGZ(6,J)=HGZ(6,J)*VINT(114)/SQM4 460 CONTINUE C...Loop over flavours; separate left- and right-handed couplings. DO 480 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 480 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW VALI=VI-AI VARI=VI+AI FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. DO 470 J=1,3 HL3(J)=EI**2*HGZ(1,J)+EI*VALI*HGZ(2,J)+VALI**2*HGZ(3,J) HR3(J)=EI**2*HGZ(1,J)+EI*VARI*HGZ(2,J)+VARI**2*HGZ(3,J) HL4(J)=EI**2*HGZ(4,J)+EI*VALI*HGZ(5,J)+VALI**2*HGZ(6,J) HR4(J)=EI**2*HGZ(4,J)+EI*VARI*HGZ(5,J)+VARI**2*HGZ(6,J) 470 CONTINUE FACLR=HL3(1)*HL4(1)+HL3(1)*(HL4(2)+HL4(3))+ & HL4(1)*(HL3(2)+HL3(3))+HL3(2)*HL4(3)+HL4(2)*HL3(3)+ & HR3(1)*HR4(1)+HR3(1)*(HR4(2)+HR4(3))+ & HR4(1)*(HR3(2)+HR3(3))+HR3(2)*HR4(3)+HR4(2)*HR3(3) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=0.5*FACZZ*FCOI*FACLR/(HBW3*HBW4) 480 CONTINUE ELSEIF(ISUB.EQ.23) THEN C...f + f~' -> Z0 + W+/-. FACZW=COMFAC*0.5*(AEM/XW)**2 FACZW=FACZW*WIDS(23,2) THUH=MAX(TH*UH-SQM3*SQM4,SH*CKIN(3)**2) FACBW=1./((SH-SQMW)**2+SQMW*PMAS(24,2)**2) DO 500 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.20.OR.KFAC(1,I).EQ.0) GOTO 500 DO 490 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.20.OR.KFAC(2,J).EQ.0) GOTO 490 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 490 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 490 KCHW=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 EI=KCHG(IA,1)/3. AI=SIGN(1.,EI+0.1) VI=AI-4.*EI*XW EJ=KCHG(JA,1)/3. AJ=SIGN(1.,EJ+0.1) VJ=AJ-4.*EJ*XW IF(VI+AI.GT.0) THEN VISAV=VI AISAV=AI VI=VJ AI=AJ VJ=VISAV AJ=AISAV ENDIF FCKM=1. IF(IA.LE.10) FCKM=VCKM((IA+1)/2,(JA+1)/2) FCOI=1. IF(IA.LE.10) FCOI=FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACZW*FCOI*FCKM*(FACBW*((9.-8.*XW)/4.*THUH+ & (8.*XW-6.)/4.*SH*(SQM3+SQM4))+(THUH-SH*(SQM3+SQM4))* & (SH-SQMW)*FACBW*0.5*((VJ+AJ)/TH-(VI+AI)/UH)+ & THUH/(16.*(1.-XW))*((VJ+AJ)**2/TH2+(VI+AI)**2/UH2)+ & SH*(SQM3+SQM4)/(8.*(1.-XW))*(VI+AI)*(VJ+AJ)/(TH*UH))* & WIDS(24,(5-KCHW)/2) 490 CONTINUE 500 CONTINUE ELSEIF(ISUB.EQ.24) THEN C...f + f~ -> Z0 + H0 (or H'0, or A0). THUH=MAX(TH*UH-SQM3*SQM4,SH*CKIN(3)**2) FACHZ=COMFAC*8.*(AEM*XWC)**2* & (THUH+2.*SH*SQM3)/((SH-SQMZ)**2+SQMZ*PMAS(23,2)**2) FACHZ=FACHZ*WIDS(23,2)*WIDS(KFHIGG,2) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) FACHZ=FACHZ* & PARU(154+10*IHIGG)**2 DO 510 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 510 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACHZ*FCOI*(VI**2+AI**2) 510 CONTINUE ELSEIF(ISUB.EQ.25) THEN C...f + f~ -> W+ + W-. THUH=MAX(TH*UH-SQM3*SQM4,SH*CKIN(3)**2) FACWW=COMFAC*0.25*(AEM/XW)**2 FACWW=FACWW*WIDS(24,1) FACBW=1./((SH-SQMZ)**2+SQMZ*PMAS(23,2)**2) DO 520 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 520 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI+0.1) VI=AI-4.*EI*XW FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. DSIGWW=THUH/SH2*(3.-(SH-3.*(SQM3+SQM4))*(SH-SQMZ)*FACBW* & (VI+AI)/(2.*AI*(1.-XW))+SH2*FACBW* & (1.-2.*(SQM3+SQM4)/SH+12.*SQM3*SQM4/SH2)*(VI**2+AI**2)/ & (8.*(1.-XW)**2))-2.*SQMZ*(SH-SQMZ)*FACBW*(VI+AI)/AI+ & SQMZ*SH*FACBW*(1.-2.*(SQM3+SQM4)/SH)*(VI**2+AI**2)/ & (2.*(1.-XW)) IF(KCHG(IABS(I),1).LT.0) THEN DSIGWW=DSIGWW+2.*(1.+SQMZ*(SH-SQMZ)*FACBW*(VI+AI)/(2.*AI))* & (THUH/(SH*TH)-(SQM3+SQM4)/TH)+THUH/TH2 ELSE DSIGWW=DSIGWW+2.*(1.+SQMZ*(SH-SQMZ)*FACBW*(VI+AI)/(2.*AI))* & (THUH/(SH*UH)-(SQM3+SQM4)/UH)+THUH/UH2 ENDIF NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACWW*FCOI*DSIGWW 520 CONTINUE ELSEIF(ISUB.EQ.26) THEN C...f + f~' -> W+/- + H0 (or H'0, or A0). THUH=MAX(TH*UH-SQM3*SQM4,SH*CKIN(3)**2) FACHW=COMFAC*0.125*(AEM/XW)**2*(THUH+2.*SH*SQM3)/ & ((SH-SQMW)**2+SQMW*PMAS(24,2)**2) FACHW=FACHW*WIDS(KFHIGG,2) IF(MSTP(4).GE.1.OR.IHIGG.GE.2) FACHW=FACHW* & PARU(155+10*IHIGG)**2 DO 540 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.20.OR.KFAC(1,I).EQ.0) GOTO 540 DO 530 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.20.OR.KFAC(1,J).EQ.0) GOTO 530 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 530 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 530 KCHW=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 FCKM=1. IF(IA.LE.10) FCKM=VCKM((IA+1)/2,(JA+1)/2) FCOI=1. IF(IA.LE.10) FCOI=FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACHW*FCOI*FCKM*WIDS(24,(5-KCHW)/2) 530 CONTINUE 540 CONTINUE ELSEIF(ISUB.EQ.27) THEN C...f + f~ -> H0 + H0. ELSEIF(ISUB.EQ.28) THEN C...f + g -> f + g (q + g -> q + g only). FACQG1=COMFAC*AS**2*4./9.*((2.+MSTP(34)*1./4.)*UH2/TH2-UH/SH)* & FACA FACQG2=COMFAC*AS**2*4./9.*((2.+MSTP(34)*1./4.)*SH2/TH2-SH/UH) DO 560 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.10) GOTO 560 DO 550 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 550 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 550 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQG1 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=2 SIGH(NCHN)=FACQG2 550 CONTINUE 560 CONTINUE ELSEIF(ISUB.EQ.29) THEN C...f + g -> f + gamma (q + g -> q + gamma only). FGQ=COMFAC*FACA*AS*AEM*1./3.*(SH2+UH2)/(-SH*UH) DO 580 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58)) GOTO 580 EI=KCHG(IABS(I),1)/3. FACGQ=FGQ*EI**2 DO 570 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 570 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 570 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGQ 570 CONTINUE 580 CONTINUE ELSEIF(ISUB.EQ.30) THEN C...f + g -> f + (gamma*/Z0) (q + g -> q + (gamma*/Z0) only). FZQ=COMFAC*FACA*AS*AEM*(1./3.)*(SH2+UH2+2.*SQM4*TH)/(-SH*UH) C...gamma, gamma/Z interference and Z couplings to final fermion pairs. HFGG=0. HFGZ=0. HFZZ=0. HBW4=0. RADC4=1.+ULALPS(SQM4)/PARU(1) DO 590 I=1,MIN(16,MDCY(23,3)) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 590 IMDM=0 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.2.OR.MDME(IDC,1).EQ.4) & IMDM=1 IF(I.LE.8) THEN EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ELSEIF(I.LE.16) THEN EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ENDIF RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SQM4 IF(4.*RM1.LT.1.) THEN FCOF=1. IF(I.LE.8) FCOF=3.*RADC4 BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(IMDM.EQ.1) THEN HFGG=HFGG+FCOF*EF**2*(1.+2.*RM1)*BE34 HFGZ=HFGZ+FCOF*EF*VF*(1.+2.*RM1)*BE34 HFZZ=HFZZ+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF HBW4=HBW4+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF 590 CONTINUE C...Propagators: as simulated in PYOFSH and as desired. GMMZ=PMAS(23,1)*PMAS(23,2) HBW4=HBW4*XWC*SQMZ/((SQM4-SQMZ)**2+GMMZ**2) MINT(15)=1 MINT(61)=1 CALL PYWIDT(23,SQM4,WDTP,WDTE) HFGG=HFGG*VINT(111)/SQM4 HFGZ=HFGZ*VINT(112)/SQM4 HFZZ=HFZZ*VINT(114)/SQM4 C...Loop over flavours; consider full gamma/Z structure. DO 610 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58)) GOTO 610 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FACZQ=FZQ*(EI**2*HFGG+EI*VI*HFGZ+ & (VI**2+AI**2)*HFZZ)/HBW4 DO 600 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 600 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 600 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACZQ 600 CONTINUE 610 CONTINUE ENDIF ELSEIF(ISUB.LE.40) THEN IF(ISUB.EQ.31) THEN C...f + g -> f' + W+/- (q + g -> q' + W+/- only). FACWQ=COMFAC*FACA*AS*AEM/XW*1./12.* & (SH2+UH2+2.*SQM4*TH)/(-SH*UH) DO 630 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58)) GOTO 630 IA=IABS(I) KCHW=ISIGN(1,KCHG(IA,1)*ISIGN(1,I)) DO 620 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 620 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 620 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACWQ*VINT(180+I)*WIDS(24,(5-KCHW)/2) 620 CONTINUE 630 CONTINUE ELSEIF(ISUB.EQ.32) THEN C...f + g -> f + H0 (q + g -> q + H0 only). ELSEIF(ISUB.EQ.33) THEN C...f + gamma -> f + g (q + gamma -> q + g only). FGQ=COMFAC*AS*AEM*8./3.*(SH2+UH2)/(-SH*UH) DO 650 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58)) GOTO 650 EI=KCHG(IABS(I),1)/3. FACGQ=FGQ*EI**2 DO 640 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 640 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 640 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGQ 640 CONTINUE 650 CONTINUE ELSEIF(ISUB.EQ.34) THEN C...f + gamma -> f + gamma. FGQ=COMFAC*AEM**2*2.*(SH2+UH2)/(-SH*UH) DO 670 I=MINA,MAXA IF(I.EQ.0) GOTO 670 EI=KCHG(IABS(I),1)/3. FACGQ=FGQ*EI**4 DO 660 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 660 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 660 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGQ 660 CONTINUE 670 CONTINUE ELSEIF(ISUB.EQ.35) THEN C...f + gamma -> f + (gamma*/Z0). FZQN=COMFAC*2.*AEM**2*(SH2+UH2+2.*SQM4*TH) FZQD=SQPTH*SQM4-SH*UH C...gamma, gamma/Z interference and Z couplings to final fermion pairs. HFGG=0. HFGZ=0. HFZZ=0. HBW4=0. RADC4=1.+ULALPS(SQM4)/PARU(1) DO 680 I=1,MIN(16,MDCY(23,3)) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 680 IMDM=0 IF(MDME(IDC,1).EQ.1.OR.MDME(IDC,1).EQ.2.OR.MDME(IDC,1).EQ.4) & IMDM=1 IF(I.LE.8) THEN EF=KCHG(I,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ELSEIF(I.LE.16) THEN EF=KCHG(I+2,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW ENDIF RM1=PMAS(IABS(KFDP(IDC,1)),1)**2/SQM4 IF(4.*RM1.LT.1.) THEN FCOF=1. IF(I.LE.8) FCOF=3.*RADC4 BE34=SQRT(MAX(0.,1.-4.*RM1)) IF(IMDM.EQ.1) THEN HFGG=HFGG+FCOF*EF**2*(1.+2.*RM1)*BE34 HFGZ=HFGZ+FCOF*EF*VF*(1.+2.*RM1)*BE34 HFZZ=HFZZ+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF HBW4=HBW4+FCOF*(VF**2*(1.+2.*RM1)+AF**2*(1.-4.*RM1))*BE34 ENDIF 680 CONTINUE C...Propagators: as simulated in PYOFSH and as desired. GMMZ=PMAS(23,1)*PMAS(23,2) HBW4=HBW4*XWC*SQMZ/((SQM4-SQMZ)**2+GMMZ**2) MINT(15)=1 MINT(61)=1 CALL PYWIDT(23,SQM4,WDTP,WDTE) HFGG=HFGG*VINT(111)/SQM4 HFGZ=HFGZ*VINT(112)/SQM4 HFZZ=HFZZ*VINT(114)/SQM4 C...Loop over flavours; consider full gamma/Z structure. DO 700 I=MINA,MAXA IF(I.EQ.0) GOTO 700 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FACZQ=EI**2*(EI**2*HFGG+EI*VI*HFGZ+ & (VI**2+AI**2)*HFZZ)/HBW4 DO 690 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 690 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 690 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACZQ*FZQN/MAX(PMAS(IABS(I),1)**2*SQM4,FZQD) 690 CONTINUE 700 CONTINUE ELSEIF(ISUB.EQ.36) THEN C...f + gamma -> f' + W+/-. FWQ=COMFAC*AEM**2/(2.*XW)* & (SH2+UH2+2.*SQM4*TH)/(SQPTH*SQM4-SH*UH) DO 720 I=MINA,MAXA IF(I.EQ.0) GOTO 720 IA=IABS(I) EIA=ABS(KCHG(IABS(I),1)/3.) FACWQ=FWQ*(EIA-SH/(SH+UH))**2 KCHW=ISIGN(1,KCHG(IA,1)*ISIGN(1,I)) DO 710 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 710 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 710 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACWQ*VINT(180+I)*WIDS(24,(5-KCHW)/2) 710 CONTINUE 720 CONTINUE ELSEIF(ISUB.EQ.37) THEN C...f + gamma -> f + H0. ELSEIF(ISUB.EQ.38) THEN C...f + Z0 -> f + g (q + Z0 -> q + g only). ELSEIF(ISUB.EQ.39) THEN C...f + Z0 -> f + gamma. ELSEIF(ISUB.EQ.40) THEN C...f + Z0 -> f + Z0. ENDIF ELSEIF(ISUB.LE.50) THEN IF(ISUB.EQ.41) THEN C...f + Z0 -> f' + W+/-. ELSEIF(ISUB.EQ.42) THEN C...f + Z0 -> f + H0. ELSEIF(ISUB.EQ.43) THEN C...f + W+/- -> f' + g (q + W+/- -> q' + g only). ELSEIF(ISUB.EQ.44) THEN C...f + W+/- -> f' + gamma. ELSEIF(ISUB.EQ.45) THEN C...f + W+/- -> f' + Z0. ELSEIF(ISUB.EQ.46) THEN C...f + W+/- -> f' + W+/-. ELSEIF(ISUB.EQ.47) THEN C...f + W+/- -> f' + H0. ELSEIF(ISUB.EQ.48) THEN C...f + H0 -> f + g (q + H0 -> q + g only). ELSEIF(ISUB.EQ.49) THEN C...f + H0 -> f + gamma. ELSEIF(ISUB.EQ.50) THEN C...f + H0 -> f + Z0. ENDIF ELSEIF(ISUB.LE.60) THEN IF(ISUB.EQ.51) THEN C...f + H0 -> f' + W+/-. ELSEIF(ISUB.EQ.52) THEN C...f + H0 -> f + H0. ELSEIF(ISUB.EQ.53) THEN C...g + g -> f + f~ (g + g -> q + q~ only). CALL PYWIDT(21,SH,WDTP,WDTE) FACQQ1=COMFAC*AS**2*1./6.*(UH/TH-(2.+MSTP(34)*1./4.)*UH2/SH2)* & (WDTE(0,1)+WDTE(0,2)+WDTE(0,3)+WDTE(0,4))*FACA FACQQ2=COMFAC*AS**2*1./6.*(TH/UH-(2.+MSTP(34)*1./4.)*TH2/SH2)* & (WDTE(0,1)+WDTE(0,2)+WDTE(0,3)+WDTE(0,4))*FACA IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 730 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQ1 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=2 SIGH(NCHN)=FACQQ2 730 CONTINUE ELSEIF(ISUB.EQ.54) THEN C...g + gamma -> f + f~ (g + gamma -> q + q~ only). CALL PYWIDT(21,SH,WDTP,WDTE) WDTESU=0. DO 740 I=1,MIN(8,MDCY(21,3)) EF=KCHG(I,1)/3. WDTESU=WDTESU+EF**2*(WDTE(I,1)+WDTE(I,2)+WDTE(I,3)+WDTE(I,4)) 740 CONTINUE FACQQ=COMFAC*AEM*AS*WDTESU*(TH2+UH2)/(TH*UH) IF(KFAC(1,21)*KFAC(2,22).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQ ENDIF IF(KFAC(1,22)*KFAC(2,21).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQ ENDIF ELSEIF(ISUB.EQ.55) THEN C...g + Z -> f + f~ (g + Z -> q + q~ only). ELSEIF(ISUB.EQ.56) THEN C...g + W -> f + f'~ (g + W -> q + q'~ only). ELSEIF(ISUB.EQ.57) THEN C...g + H0 -> f + f~ (g + H0 -> q + q~ only). ELSEIF(ISUB.EQ.58) THEN C...gamma + gamma -> f + f~. CALL PYWIDT(22,SH,WDTP,WDTE) WDTESU=0. DO 750 I=1,MIN(12,MDCY(22,3)) IF(I.LE.8) EF= KCHG(I,1)/3. IF(I.GE.9) EF= KCHG(9+2*(I-8),1)/3. WDTESU=WDTESU+EF**2*(WDTE(I,1)+WDTE(I,2)+WDTE(I,3)+WDTE(I,4)) 750 CONTINUE FACFF=COMFAC*AEM**2*WDTESU*2.*(TH2+UH2)/(TH*UH) IF(KFAC(1,22)*KFAC(2,22).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACFF ENDIF ELSEIF(ISUB.EQ.59) THEN C...gamma + Z0 -> f + f~. ELSEIF(ISUB.EQ.60) THEN C...gamma + W+/- -> f + f~'. ENDIF ELSEIF(ISUB.LE.70) THEN IF(ISUB.EQ.61) THEN C...gamma + H0 -> f + f~. ELSEIF(ISUB.EQ.62) THEN C...Z0 + Z0 -> f + f~. ELSEIF(ISUB.EQ.63) THEN C...Z0 + W+/- -> f + f~'. ELSEIF(ISUB.EQ.64) THEN C...Z0 + H0 -> f + f~. ELSEIF(ISUB.EQ.65) THEN C...W+ + W- -> f + f~. ELSEIF(ISUB.EQ.66) THEN C...W+/- + H0 -> f + f~'. ELSEIF(ISUB.EQ.67) THEN C...H0 + H0 -> f + f~. ELSEIF(ISUB.EQ.68) THEN C...g + g -> g + g. FACGG1=COMFAC*AS**2*9./4.*(SH2/TH2+2.*SH/TH+3.+2.*TH/SH+ & TH2/SH2)*FACA FACGG2=COMFAC*AS**2*9./4.*(UH2/SH2+2.*UH/SH+3.+2.*SH/UH+ & SH2/UH2)*FACA FACGG3=COMFAC*AS**2*9./4.*(TH2/UH2+2.*TH/UH+3.+2.*UH/TH+ & UH2/TH2) IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 760 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=0.5*FACGG1 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=2 SIGH(NCHN)=0.5*FACGG2 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=3 SIGH(NCHN)=0.5*FACGG3 760 CONTINUE ELSEIF(ISUB.EQ.69) THEN C...gamma + gamma -> W+ + W-. SQMWE=MAX(0.5*SQMW,SQRT(SQM3*SQM4)) FPROP=SH2/((SQMWE-TH)*(SQMWE-UH)) FACWW=COMFAC*6.*AEM**2*(1.-FPROP*(4./3.+2.*SQMWE/SH)+ & FPROP**2*(2./3.+2.*(SQMWE/SH)**2))*WIDS(24,1) IF(KFAC(1,22)*KFAC(2,22).EQ.0) GOTO 770 NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACWW 770 CONTINUE ELSEIF(ISUB.EQ.70) THEN C...gamma + W+/- -> Z0 + W+/-. SQMWE=MAX(0.5*SQMW,SQRT(SQM3*SQM4)) FPROP=(TH-SQMWE)**2/(-SH*(SQMWE-UH)) FACZW=COMFAC*6.*AEM**2*((1.-XW)/XW)* & (1.-FPROP*(4./3.+2.*SQMWE/(TH-SQMWE))+ & FPROP**2*(2./3.+2.*(SQMWE/(TH-SQMWE))**2))*WIDS(23,2) DO 790 KCHW=1,-1,-2 DO 780 ISDE=1,2 IF(KFAC(ISDE,22)*KFAC(3-ISDE,24*KCHW).EQ.0) GOTO 780 NCHN=NCHN+1 ISIG(NCHN,ISDE)=22 ISIG(NCHN,3-ISDE)=24*KCHW ISIG(NCHN,3)=1 SIGH(NCHN)=FACZW*WIDS(24,(5-KCHW)/2) 780 CONTINUE 790 CONTINUE ENDIF ELSEIF(ISUB.LE.80) THEN IF(ISUB.EQ.71) THEN C...Z0 + Z0 -> Z0 + Z0. IF(SH.LE.4.01*SQMZ) GOTO 820 IF(MSTP(46).LE.2) THEN C...Exact scattering ME:s for on-mass-shell gauge bosons. BE2=1.-4.*SQMZ/SH TH=-0.5*SH*BE2*(1.-CTH) UH=-0.5*SH*BE2*(1.+CTH) IF(MAX(TH,UH).GT.-1.) GOTO 820 SHANG=1./(1.-XW)*SQMW/SQMZ*(1.+BE2)**2 ASHRE=(SH-SQMH)/((SH-SQMH)**2+GMMH**2)*SHANG ASHIM=-GMMH/((SH-SQMH)**2+GMMH**2)*SHANG THANG=1./(1.-XW)*SQMW/SQMZ*(BE2-CTH)**2 ATHRE=(TH-SQMH)/((TH-SQMH)**2+GMMH**2)*THANG ATHIM=-GMMH/((TH-SQMH)**2+GMMH**2)*THANG UHANG=1./(1.-XW)*SQMW/SQMZ*(BE2+CTH)**2 AUHRE=(UH-SQMH)/((UH-SQMH)**2+GMMH**2)*UHANG AUHIM=-GMMH/((UH-SQMH)**2+GMMH**2)*UHANG FACZZ=COMFAC*1./(4096.*PARU(1)**2*16.*(1.-XW)**2)* & (AEM/XW)**4*(SH/SQMW)**2*(SQMZ/SQMW)*SH2 IF(MSTP(46).LE.0) FACZZ=FACZZ*(ASHRE**2+ASHIM**2) IF(MSTP(46).EQ.1) FACZZ=FACZZ*((ASHRE+ATHRE+AUHRE)**2+ & (ASHIM+ATHIM+AUHIM)**2) IF(MSTP(46).EQ.2) FACZZ=0. ELSE C...Strongly interacting Z_L/W_L model of Dobado, Herrero, Terron. FACZZ=COMFAC*(AEM/(16.*PARU(1)*XW*(1.-XW)))**2*(64./9.)* & ABS(A00U+2.*A20U)**2 ENDIF FACZZ=FACZZ*WIDS(23,1) DO 810 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 810 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW AVI=AI**2+VI**2 DO 800 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 800 EJ=KCHG(IABS(J),1)/3. AJ=SIGN(1.,EJ) VJ=AJ-4.*EJ*XW AVJ=AJ**2+VJ**2 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=0.5*FACZZ*AVI*AVJ 800 CONTINUE 810 CONTINUE 820 CONTINUE ELSEIF(ISUB.EQ.72) THEN C...Z0 + Z0 -> W+ + W-. IF(SH.LE.4.01*SQMZ) GOTO 850 IF(MSTP(46).LE.2) THEN C...Exact scattering ME:s for on-mass-shell gauge bosons. BE2=SQRT((1.-4.*SQMW/SH)*(1.-4.*SQMZ/SH)) CTH2=CTH**2 TH=-0.5*SH*(1.-2.*(SQMW+SQMZ)/SH-BE2*CTH) UH=-0.5*SH*(1.-2.*(SQMW+SQMZ)/SH+BE2*CTH) IF(MAX(TH,UH).GT.-1.) GOTO 850 SHANG=4.*SQRT(SQMW/(SQMZ*(1.-XW)))*(1.-2.*SQMW/SH)* & (1.-2.*SQMZ/SH) ASHRE=(SH-SQMH)/((SH-SQMH)**2+GMMH**2)*SHANG ASHIM=-GMMH/((SH-SQMH)**2+GMMH**2)*SHANG ATWRE=(1.-XW)/SQMZ*SH/(TH-SQMW)*((CTH-BE2)**2*(3./2.+BE2/2.* & CTH-(SQMW+SQMZ)/SH+(SQMW-SQMZ)**2/(SH*SQMW))+4.*((SQMW+SQMZ)/ & SH*(1.-3.*CTH2)+8.*SQMW*SQMZ/SH2*(2.*CTH2-1.)+ & 4.*(SQMW**2+SQMZ**2)/SH2*CTH2+2.*(SQMW+SQMZ)/SH*BE2*CTH)) ATWIM=0. AUWRE=(1.-XW)/SQMZ*SH/(UH-SQMW)*((CTH+BE2)**2*(3./2.-BE2/2.* & CTH-(SQMW+SQMZ)/SH+(SQMW-SQMZ)**2/(SH*SQMW))+4.*((SQMW+SQMZ)/ & SH*(1.-3.*CTH2)+8.*SQMW*SQMZ/SH2*(2.*CTH2-1.)+ & 4.*(SQMW**2+SQMZ**2)/SH2*CTH2-2.*(SQMW+SQMZ)/SH*BE2*CTH)) AUWIM=0. A4RE=2.*(1.-XW)/SQMZ*(3.-CTH2-4.*(SQMW+SQMZ)/SH) A4IM=0. FACWW=COMFAC*1./(4096.*PARU(1)**2*16.*(1.-XW)**2)* & (AEM/XW)**4*(SH/SQMW)**2*(SQMZ/SQMW)*SH2 IF(MSTP(46).LE.0) FACWW=FACWW*(ASHRE**2+ASHIM**2) IF(MSTP(46).EQ.1) FACWW=FACWW*((ASHRE+ATWRE+AUWRE+A4RE)**2+ & (ASHIM+ATWIM+AUWIM+A4IM)**2) IF(MSTP(46).EQ.2) FACWW=FACWW*((ATWRE+AUWRE+A4RE)**2+ & (ATWIM+AUWIM+A4IM)**2) ELSE C...Strongly interacting Z_L/W_L model of Dobado, Herrero, Terron. FACWW=COMFAC*(AEM/(16.*PARU(1)*XW*(1.-XW)))**2*(64./9.)* & ABS(A00U-A20U)**2 ENDIF FACWW=FACWW*WIDS(24,1) DO 840 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 840 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW AVI=AI**2+VI**2 DO 830 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 830 EJ=KCHG(IABS(J),1)/3. AJ=SIGN(1.,EJ) VJ=AJ-4.*EJ*XW AVJ=AJ**2+VJ**2 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACWW*AVI*AVJ 830 CONTINUE 840 CONTINUE 850 CONTINUE ELSEIF(ISUB.EQ.73) THEN C...Z0 + W+/- -> Z0 + W+/-. IF(SH.LE.2.*SQMZ+2.*SQMW) GOTO 880 IF(MSTP(46).LE.2) THEN C...Exact scattering ME:s for on-mass-shell gauge bosons. BE2=1.-2.*(SQMZ+SQMW)/SH+((SQMZ-SQMW)/SH)**2 EP1=1.-(SQMZ-SQMW)/SH EP2=1.+(SQMZ-SQMW)/SH TH=-0.5*SH*BE2*(1.-CTH) UH=(SQMZ-SQMW)**2/SH-0.5*SH*BE2*(1.+CTH) IF(MAX(TH,UH).GT.-1.) GOTO 880 THANG=(BE2-EP1*CTH)*(BE2-EP2*CTH) ATHRE=(TH-SQMH)/((TH-SQMH)**2+GMMH**2)*THANG ATHIM=-GMMH/((TH-SQMH)**2+GMMH**2)*THANG ASWRE=-(1.-XW)/SQMZ*SH/(SH-SQMW)*(-BE2*(EP1+EP2)**4*CTH+ & 1./4.*(BE2+EP1*EP2)**2*((EP1-EP2)**2-4.*BE2*CTH)+ & 2.*BE2*(BE2+EP1*EP2)*(EP1+EP2)**2*CTH- & 1./16.*SH/SQMW*(EP1**2-EP2**2)**2*(BE2+EP1*EP2)**2) ASWIM=0. AUWRE=(1.-XW)/SQMZ*SH/(UH-SQMW)*(-BE2*(EP2+EP1*CTH)* & (EP1+EP2*CTH)*(BE2+EP1*EP2)+BE2*(EP2+EP1*CTH)* & (BE2+EP1*EP2*CTH)*(2.*EP2-EP2*CTH+EP1)-BE2*(EP2+EP1*CTH)**2* & (BE2-EP2**2*CTH)-1./8.*(BE2+EP1*EP2*CTH)**2*((EP1+EP2)**2+ & 2.*BE2*(1.-CTH))+1./32.*SH/SQMW*(BE2+EP1*EP2*CTH)**2* & (EP1**2-EP2**2)**2-BE2*(EP1+EP2*CTH)*(EP2+EP1*CTH)* & (BE2+EP1*EP2)+BE2*(EP1+EP2*CTH)*(BE2+EP1*EP2*CTH)* & (2.*EP1-EP1*CTH+EP2)-BE2*(EP1+EP2*CTH)**2*(BE2-EP1**2*CTH)- & 1./8.*(BE2+EP1*EP2*CTH)**2*((EP1+EP2)**2+2.*BE2*(1.-CTH))+ & 1./32.*SH/SQMW*(BE2+EP1*EP2*CTH)**2*(EP1**2-EP2**2)**2) AUWIM=0. A4RE=(1.-XW)/SQMZ*(EP1**2*EP2**2*(CTH**2-1.)- & 2.*BE2*(EP1**2+EP2**2+EP1*EP2)*CTH-2.*BE2*EP1*EP2) A4IM=0. FACZW=COMFAC*1./(4096.*PARU(1)**2*4.*(1.-XW))*(AEM/XW)**4* & (SH/SQMW)**2*SQRT(SQMZ/SQMW)*SH2 IF(MSTP(46).LE.0) FACZW=0. IF(MSTP(46).EQ.1) FACZW=FACZW*((ATHRE+ASWRE+AUWRE+A4RE)**2+ & (ATHIM+ASWIM+AUWIM+A4IM)**2) IF(MSTP(46).EQ.2) FACZW=FACZW*((ASWRE+AUWRE+A4RE)**2+ & (ASWIM+AUWIM+A4IM)**2) ELSE C...Strongly interacting Z_L/W_L model of Dobado, Herrero, Terron. FACZW=COMFAC*AEM**2/(64.*PARU(1)**2*XW**2*(1.-XW))*16.* & ABS(A20U+3.*A11U*CTH)**2 ENDIF FACZW=FACZW*WIDS(23,2) DO 870 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 870 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW AVI=AI**2+VI**2 KCHWI=ISIGN(1,KCHG(IABS(I),1)*ISIGN(1,I)) DO 860 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 860 EJ=KCHG(IABS(J),1)/3. AJ=SIGN(1.,EJ) VJ=AI-4.*EJ*XW AVJ=AJ**2+VJ**2 KCHWJ=ISIGN(1,KCHG(IABS(J),1)*ISIGN(1,J)) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACZW*AVI*VINT(180+J)*WIDS(24,(5-KCHWJ)/2) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=2 SIGH(NCHN)=FACZW*VINT(180+I)*WIDS(24,(5-KCHWI)/2)*AVJ 860 CONTINUE 870 CONTINUE 880 CONTINUE ELSEIF(ISUB.EQ.75) THEN C...W+ + W- -> gamma + gamma. ELSEIF(ISUB.EQ.76) THEN C...W+ + W- -> Z0 + Z0. IF(SH.LE.4.01*SQMZ) GOTO 910 IF(MSTP(46).LE.2) THEN C...Exact scattering ME:s for on-mass-shell gauge bosons. BE2=SQRT((1.-4.*SQMW/SH)*(1.-4.*SQMZ/SH)) CTH2=CTH**2 TH=-0.5*SH*(1.-2.*(SQMW+SQMZ)/SH-BE2*CTH) UH=-0.5*SH*(1.-2.*(SQMW+SQMZ)/SH+BE2*CTH) IF(MAX(TH,UH).GT.-1.) GOTO 910 SHANG=4.*SQRT(SQMW/(SQMZ*(1.-XW)))*(1.-2.*SQMW/SH)* & (1.-2.*SQMZ/SH) ASHRE=(SH-SQMH)/((SH-SQMH)**2+GMMH**2)*SHANG ASHIM=-GMMH/((SH-SQMH)**2+GMMH**2)*SHANG ATWRE=(1.-XW)/SQMZ*SH/(TH-SQMW)*((CTH-BE2)**2*(3./2.+BE2/2.* & CTH-(SQMW+SQMZ)/SH+(SQMW-SQMZ)**2/(SH*SQMW))+4.*((SQMW+SQMZ)/ & SH*(1.-3.*CTH2)+8.*SQMW*SQMZ/SH2*(2.*CTH2-1.)+ & 4.*(SQMW**2+SQMZ**2)/SH2*CTH2+2.*(SQMW+SQMZ)/SH*BE2*CTH)) ATWIM=0. AUWRE=(1.-XW)/SQMZ*SH/(UH-SQMW)*((CTH+BE2)**2*(3./2.-BE2/2.* & CTH-(SQMW+SQMZ)/SH+(SQMW-SQMZ)**2/(SH*SQMW))+4.*((SQMW+SQMZ)/ & SH*(1.-3.*CTH2)+8.*SQMW*SQMZ/SH2*(2.*CTH2-1.)+ & 4.*(SQMW**2+SQMZ**2)/SH2*CTH2-2.*(SQMW+SQMZ)/SH*BE2*CTH)) AUWIM=0. A4RE=2.*(1.-XW)/SQMZ*(3.-CTH2-4.*(SQMW+SQMZ)/SH) A4IM=0. FACZZ=COMFAC*1./(4096.*PARU(1)**2)*(AEM/XW)**4* & (SH/SQMW)**2*SH2 IF(MSTP(46).LE.0) FACZZ=FACZZ*(ASHRE**2+ASHIM**2) IF(MSTP(46).EQ.1) FACZZ=FACZZ*((ASHRE+ATWRE+AUWRE+A4RE)**2+ & (ASHIM+ATWIM+AUWIM+A4IM)**2) IF(MSTP(46).EQ.2) FACZZ=FACZZ*((ATWRE+AUWRE+A4RE)**2+ & (ATWIM+AUWIM+A4IM)**2) ELSE C...Strongly interacting Z_L/W_L model of Dobado, Herrero, Terron. FACZZ=COMFAC*(AEM/(4.*PARU(1)*XW))**2*(64./9.)* & ABS(A00U-A20U)**2 ENDIF FACZZ=FACZZ*WIDS(23,1) DO 900 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 900 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 890 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 890 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.GT.0.) GOTO 890 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=0.5*FACZZ*VINT(180+I)*VINT(180+J) 890 CONTINUE 900 CONTINUE 910 CONTINUE ELSEIF(ISUB.EQ.77) THEN C...W+/- + W+/- -> W+/- + W+/-. IF(SH.LE.4.01*SQMW) GOTO 940 IF(MSTP(46).LE.2) THEN C...Exact scattering ME:s for on-mass-shell gauge bosons. BE2=1.-4.*SQMW/SH BE4=BE2**2 CTH2=CTH**2 CTH3=CTH**3 TH=-0.5*SH*BE2*(1.-CTH) UH=-0.5*SH*BE2*(1.+CTH) IF(MAX(TH,UH).GT.-1.) GOTO 940 SHANG=(1.+BE2)**2 ASHRE=(SH-SQMH)/((SH-SQMH)**2+GMMH**2)*SHANG ASHIM=-GMMH/((SH-SQMH)**2+GMMH**2)*SHANG THANG=(BE2-CTH)**2 ATHRE=(TH-SQMH)/((TH-SQMH)**2+GMMH**2)*THANG ATHIM=-GMMH/((TH-SQMH)**2+GMMH**2)*THANG UHANG=(BE2+CTH)**2 AUHRE=(UH-SQMH)/((UH-SQMH)**2+GMMH**2)*UHANG AUHIM=-GMMH/((UH-SQMH)**2+GMMH**2)*UHANG SGZANG=1./SQMW*BE2*(3.-BE2)**2*CTH ASGRE=XW*SGZANG ASGIM=0. ASZRE=(1.-XW)*SH/(SH-SQMZ)*SGZANG ASZIM=0. TGZANG=1./SQMW*(BE2*(4.-2.*BE2+BE4)+BE2*(4.-10.*BE2+BE4)*CTH+ & (2.-11.*BE2+10.*BE4)*CTH2+BE2*CTH3) ATGRE=0.5*XW*SH/TH*TGZANG ATGIM=0. ATZRE=0.5*(1.-XW)*SH/(TH-SQMZ)*TGZANG ATZIM=0. UGZANG=1./SQMW*(BE2*(4.-2.*BE2+BE4)-BE2*(4.-10.*BE2+BE4)*CTH+ & (2.-11.*BE2+10.*BE4)*CTH2-BE2*CTH3) AUGRE=0.5*XW*SH/UH*UGZANG AUGIM=0. AUZRE=0.5*(1.-XW)*SH/(UH-SQMZ)*UGZANG AUZIM=0. A4ARE=1./SQMW*(1.+2.*BE2-6.*BE2*CTH-CTH2) A4AIM=0. A4SRE=2./SQMW*(1.+2.*BE2-CTH2) A4SIM=0. FWW=COMFAC*1./(4096.*PARU(1)**2)*(AEM/XW)**4*(SH/SQMW)**2*SH2 IF(MSTP(46).LE.0) THEN AWWARE=ASHRE AWWAIM=ASHIM AWWSRE=0. AWWSIM=0. ELSEIF(MSTP(46).EQ.1) THEN AWWARE=ASHRE+ATHRE+ASGRE+ASZRE+ATGRE+ATZRE+A4ARE AWWAIM=ASHIM+ATHIM+ASGIM+ASZIM+ATGIM+ATZIM+A4AIM AWWSRE=-ATHRE-AUHRE+ATGRE+ATZRE+AUGRE+AUZRE+A4SRE AWWSIM=-ATHIM-AUHIM+ATGIM+ATZIM+AUGIM+AUZIM+A4SIM ELSE AWWARE=ASGRE+ASZRE+ATGRE+ATZRE+A4ARE AWWAIM=ASGIM+ASZIM+ATGIM+ATZIM+A4AIM AWWSRE=ATGRE+ATZRE+AUGRE+AUZRE+A4SRE AWWSIM=ATGIM+ATZIM+AUGIM+AUZIM+A4SIM ENDIF AWWA2=AWWARE**2+AWWAIM**2 AWWS2=AWWSRE**2+AWWSIM**2 ELSE C...Strongly interacting Z_L/W_L model of Dobado, Herrero, Terron. FWWA=COMFAC*(AEM/(4.*PARU(1)*XW))**2*(64./9.)* & ABS(A00U+0.5*A20U+4.5*A11U*CTH)**2 FWWS=COMFAC*(AEM/(4.*PARU(1)*XW))**2*64.*ABS(A20U)**2 ENDIF DO 930 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 930 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 920 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 920 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.LT.0.) THEN C...W+W- IF(MSTP(45).EQ.1) GOTO 920 IF(MSTP(46).LE.2) FACWW=FWW*AWWA2*WIDS(24,1) IF(MSTP(46).GE.3) FACWW=FWWA*WIDS(24,1) ELSE C...W+W+/W-W- IF(MSTP(45).EQ.2) GOTO 920 IF(MSTP(46).LE.2) FACWW=FWW*AWWS2 IF(MSTP(46).GE.3) FACWW=FWWS IF(EI.GT.0.) FACWW=FACWW*VINT(91) IF(EI.LT.0.) FACWW=FACWW*VINT(92) ENDIF NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACWW*VINT(180+I)*VINT(180+J) IF(EI*EJ.GT.0.) SIGH(NCHN)=0.5*SIGH(NCHN) 920 CONTINUE 930 CONTINUE 940 CONTINUE ELSEIF(ISUB.EQ.78) THEN C...W+/- + H0 -> W+/- + H0. ELSEIF(ISUB.EQ.79) THEN C...H0 + H0 -> H0 + H0. ELSEIF(ISUB.EQ.80) THEN C...q + gamma -> q' + pi+/-. FQPI=COMFAC*(2.*AEM/9.)*(-SH/TH)*(1./SH2+1./TH2) ASSH=ULALPS(MAX(0.5,0.5*SH)) Q2FPSH=0.55/LOG(MAX(2.,2.*SH)) DELSH=UH*SQRT(ASSH*Q2FPSH) ASUH=ULALPS(MAX(0.5,-0.5*UH)) Q2FPUH=0.55/LOG(MAX(2.,-2.*UH)) DELUH=SH*SQRT(ASUH*Q2FPUH) DO 960 I=MAX(-2,MINA),MIN(2,MAXA) IF(I.EQ.0) GOTO 960 EI=KCHG(IABS(I),1)/3. EJ=SIGN(1.-ABS(EI),EI) DO 950 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 950 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 950 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FQPI*(EI*DELSH+EJ*DELUH)**2 950 CONTINUE 960 CONTINUE ENDIF C...C: 2 -> 2, tree diagrams with masses. ELSEIF(ISUB.LE.90) THEN IF(ISUB.EQ.81) THEN C...q + q~ -> Q + Q~. FACQQB=COMFAC*AS**2*4./9.*(((TH-SQM3)**2+ & (UH-SQM3)**2)/SH2+2.*SQM3/SH) IF(MSTP(35).GE.1) FACQQB=FACQQB*PYHFTH(SH,SQM3,0.) WID2=1. IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,1) FACQQB=FACQQB*WID2 DO 970 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 970 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQB 970 CONTINUE ELSEIF(ISUB.EQ.82) THEN C...g + g -> Q + Q~. IF(MSTP(34).EQ.0) THEN FACQQ1=COMFAC*FACA*AS**2*(1./6.)*((UH-SQM3)/(TH-SQM3)- & 2.*(UH-SQM3)**2/SH2+4.*(SQM3/SH)*(TH*UH-SQM3**2)/ & (TH-SQM3)**2) FACQQ2=COMFAC*FACA*AS**2*(1./6.)*((TH-SQM3)/(UH-SQM3)- & 2.*(TH-SQM3)**2/SH2+4.*(SQM3/SH)*(TH*UH-SQM3**2)/ & (UH-SQM3)**2) ELSE FACQQ1=COMFAC*FACA*AS**2*(1./6.)*((UH-SQM3)/(TH-SQM3)- & 2.25*(UH-SQM3)**2/SH2+4.5*(SQM3/SH)*(TH*UH-SQM3**2)/ & (TH-SQM3)**2+0.5*SQM3*TH/(TH-SQM3)**2-SQM3**2/(SH*(TH-SQM3))) FACQQ2=COMFAC*FACA*AS**2*(1./6.)*((TH-SQM3)/(UH-SQM3)- & 2.25*(TH-SQM3)**2/SH2+4.5*(SQM3/SH)*(TH*UH-SQM3**2)/ & (UH-SQM3)**2+0.5*SQM3*UH/(UH-SQM3)**2-SQM3**2/(SH*(UH-SQM3))) ENDIF IF(MSTP(35).GE.1) THEN FATRE=PYHFTH(SH,SQM3,2./7.) FACQQ1=FACQQ1*FATRE FACQQ2=FACQQ2*FATRE ENDIF WID2=1. IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,1) FACQQ1=FACQQ1*WID2 FACQQ2=FACQQ2*WID2 IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 980 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQ1 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=2 SIGH(NCHN)=FACQQ2 980 CONTINUE ELSEIF(ISUB.EQ.83) THEN C...f + q -> f' + Q. FACQQS=COMFAC*(0.5*AEM/XW)**2*SH*(SH-SQM3)/(SQMW-TH)**2 FACQQU=COMFAC*(0.5*AEM/XW)**2*UH*(UH-SQM3)/(SQMW-TH)**2 DO 1000 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1000 DO 990 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 990 IF(I*J.GT.0.AND.MOD(IABS(I+J),2).EQ.0) GOTO 990 IF(I*J.LT.0.AND.MOD(IABS(I+J),2).EQ.1) GOTO 990 IF(IABS(I).LT.MINT(55).AND.MOD(IABS(I+MINT(55)),2).EQ.1) THEN NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 IF(MOD(MINT(55),2).EQ.0) FACCKM=VCKM(MINT(55)/2, & (IABS(I)+1)/2)*VINT(180+J) IF(MOD(MINT(55),2).EQ.1) FACCKM=VCKM(IABS(I)/2, & (MINT(55)+1)/2)*VINT(180+J) WID2=1. IF(I.GT.0) THEN IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,2) ELSE IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,3) ENDIF IF(I*J.GT.0) SIGH(NCHN)=FACQQS*FACCKM*WID2 IF(I*J.LT.0) SIGH(NCHN)=FACQQU*FACCKM*WID2 ENDIF IF(IABS(J).LT.MINT(55).AND.MOD(IABS(J+MINT(55)),2).EQ.1) THEN NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=2 IF(MOD(MINT(55),2).EQ.0) FACCKM=VCKM(MINT(55)/2, & (IABS(J)+1)/2)*VINT(180+I) IF(MOD(MINT(55),2).EQ.1) FACCKM=VCKM(IABS(J)/2, & (MINT(55)+1)/2)*VINT(180+I) IF(J.GT.0) THEN IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,2) ELSE IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,3) ENDIF IF(I*J.GT.0) SIGH(NCHN)=FACQQS*FACCKM*WID2 IF(I*J.LT.0) SIGH(NCHN)=FACQQU*FACCKM*WID2 ENDIF 990 CONTINUE 1000 CONTINUE ELSEIF(ISUB.EQ.84) THEN C...g + gamma -> Q + Q~. FMTU=SQM3/(SQM3-TH)+SQM3/(SQM3-UH) FACQQ=COMFAC*AS*AEM*(KCHG(IABS(MINT(55)),1)/3.)**2* & ((SQM3-TH)/(SQM3-UH)+(SQM3-UH)/(SQM3-TH)+4.*FMTU*(1.-FMTU)) IF(MSTP(35).GE.1) FACQQ=FACQQ*PYHFTH(SH,SQM3,0.) WID2=1. IF(MINT(55).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((MINT(55).EQ.7.OR.MINT(55).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(55)+20,1) FACQQ=FACQQ*WID2 IF(KFAC(1,21)*KFAC(2,22).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQ ENDIF IF(KFAC(1,22)*KFAC(2,21).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQ ENDIF ELSEIF(ISUB.EQ.85) THEN C...gamma + gamma -> F + F~ (heavy fermion, quark or lepton). FMTU=SQM3/(SQM3-TH)+SQM3/(SQM3-UH) FACFF=COMFAC*AEM**2*(KCHG(IABS(MINT(56)),1)/3.)**4*2.* & ((SQM3-TH)/(SQM3-UH)+(SQM3-UH)/(SQM3-TH)+4.*FMTU*(1.-FMTU)) IF(IABS(MINT(56)).LT.10) FACFF=3.*FACFF IF(IABS(MINT(56)).LT.10.AND.MSTP(35).GE.1) & FACFF=FACFF*PYHFTH(SH,SQM3,1.) WID2=1. IF(MINT(56).EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((MINT(56).EQ.7.OR.MINT(56).EQ.8).AND.MSTP(49).GE.1) & WID2=WIDS(MINT(56)+20,1) IF(MINT(56).EQ.17.AND.MSTP(49).GE.1) WID2=WIDS(29,1) FACFF=FACFF*WID2 IF(KFAC(1,22)*KFAC(2,22).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACFF ENDIF ELSEIF(ISUB.EQ.86) THEN C...g + g -> J/Psi + g. FACQQG=COMFAC*AS**3*(5./9.)*PARP(38)*SQRT(SQM3)* & ((SH*(SH-SQM3))**2+(TH*(TH-SQM3))**2+(UH*(UH-SQM3))**2)/ & ((SH-SQM3)*(TH-SQM3)*(UH-SQM3))**2 IF(KFAC(1,21)*KFAC(2,21).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQG ENDIF ELSEIF(ISUB.EQ.87) THEN C...g + g -> chi_0c + g. PGTW=(SH*TH+TH*UH+UH*SH)/SH2 QGTW=(SH*TH*UH)/SH**3 RGTW=SQM3/SH FACQQG=COMFAC*AS**3*4.*(PARP(39)/SQRT(SQM3))*(1./SH)* & (9.*RGTW**2*PGTW**4*(RGTW**4-2.*RGTW**2*PGTW+PGTW**2)- & 6.*RGTW*PGTW**3*QGTW*(2.*RGTW**4-5.*RGTW**2*PGTW+PGTW**2)- & PGTW**2*QGTW**2*(RGTW**4+2.*RGTW**2*PGTW-PGTW**2)+ & 2.*RGTW*PGTW*QGTW**3*(RGTW**2-PGTW)+6.*RGTW**2*QGTW**4)/ & (QGTW*(QGTW-RGTW*PGTW)**4) IF(KFAC(1,21)*KFAC(2,21).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQG ENDIF ELSEIF(ISUB.EQ.88) THEN C...g + g -> chi_1c + g. PGTW=(SH*TH+TH*UH+UH*SH)/SH2 QGTW=(SH*TH*UH)/SH**3 RGTW=SQM3/SH FACQQG=COMFAC*AS**3*12.*(PARP(39)/SQRT(SQM3))*(1./SH)* & PGTW**2*(RGTW*PGTW**2*(RGTW**2-4.*PGTW)+2.*QGTW*(-RGTW**4+ & 5.*RGTW**2*PGTW+PGTW**2)-15.*RGTW*QGTW**2)/ & (QGTW-RGTW*PGTW)**4 IF(KFAC(1,21)*KFAC(2,21).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQG ENDIF ELSEIF(ISUB.EQ.89) THEN C...g + g -> chi_2c + g. PGTW=(SH*TH+TH*UH+UH*SH)/SH2 QGTW=(SH*TH*UH)/SH**3 RGTW=SQM3/SH FACQQG=COMFAC*AS**3*4.*(PARP(39)/SQRT(SQM3))*(1./SH)* & (12.*RGTW**2*PGTW**4*(RGTW**4-2.*RGTW**2*PGTW+PGTW**2)- & 3.*RGTW*PGTW**3*QGTW*(8.*RGTW**4-RGTW**2*PGTW+4.*PGTW**2)+ & 2.*PGTW**2*QGTW**2*(-7.*RGTW**4+43.*RGTW**2*PGTW+PGTW**2)+ & RGTW*PGTW*QGTW**3*(16.*RGTW**2-61.*PGTW)+12.*RGTW**2*QGTW**4)/ & (QGTW*(QGTW-RGTW*PGTW)**4) IF(KFAC(1,21)*KFAC(2,21).NE.0) THEN NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQG ENDIF ENDIF C...D: Mimimum bias processes. ELSEIF(ISUB.LE.100) THEN IF(ISUB.EQ.91) THEN C...Elastic scattering. SIGS=SIGT(0,0,1) ELSEIF(ISUB.EQ.92) THEN C...Single diffractive scattering (first side, i.e. XB). SIGS=SIGT(0,0,2) ELSEIF(ISUB.EQ.93) THEN C...Single diffractive scattering (second side, i.e. AX). SIGS=SIGT(0,0,3) ELSEIF(ISUB.EQ.94) THEN C...Double diffractive scattering. SIGS=SIGT(0,0,4) ELSEIF(ISUB.EQ.95) THEN C...Low-pT scattering. SIGS=SIGT(0,0,5) ELSEIF(ISUB.EQ.96) THEN C...Multiple interactions: sum of QCD processes. CALL PYWIDT(21,SH,WDTP,WDTE) C...q + q' -> q + q'. FACQQ1=COMFAC*AS**2*4./9.*(SH2+UH2)/TH2 FACQQB=COMFAC*AS**2*4./9.*((SH2+UH2)/TH2*FACA- & MSTP(34)*2./3.*UH2/(SH*TH)) FACQQ2=COMFAC*AS**2*4./9.*((SH2+TH2)/UH2- & MSTP(34)*2./3.*SH2/(TH*UH)) DO 1020 I=-3,3 IF(I.EQ.0) GOTO 1020 DO 1010 J=-3,3 IF(J.EQ.0) GOTO 1010 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=111 SIGH(NCHN)=FACQQ1 IF(I.EQ.-J) SIGH(NCHN)=FACQQB IF(I.EQ.J) THEN SIGH(NCHN)=0.5*SIGH(NCHN) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=112 SIGH(NCHN)=0.5*FACQQ2 ENDIF 1010 CONTINUE 1020 CONTINUE C...q + q~ -> q' + q~' or g + g. FACQQB=COMFAC*AS**2*4./9.*(TH2+UH2)/SH2*(WDTE(0,1)+WDTE(0,2)+ & WDTE(0,3)+WDTE(0,4)) FACGG1=COMFAC*AS**2*32./27.*(UH/TH-(2.+MSTP(34)*1./4.)*UH2/SH2) FACGG2=COMFAC*AS**2*32./27.*(TH/UH-(2.+MSTP(34)*1./4.)*TH2/SH2) DO 1030 I=-3,3 IF(I.EQ.0) GOTO 1030 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=121 SIGH(NCHN)=FACQQB NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=131 SIGH(NCHN)=0.5*FACGG1 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=132 SIGH(NCHN)=0.5*FACGG2 1030 CONTINUE C...q + g -> q + g. FACQG1=COMFAC*AS**2*4./9.*((2.+MSTP(34)*1./4.)*UH2/TH2-UH/SH)* & FACA FACQG2=COMFAC*AS**2*4./9.*((2.+MSTP(34)*1./4.)*SH2/TH2-SH/UH) DO 1050 I=-3,3 IF(I.EQ.0) GOTO 1050 DO 1040 ISDE=1,2 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=281 SIGH(NCHN)=FACQG1 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=282 SIGH(NCHN)=FACQG2 1040 CONTINUE 1050 CONTINUE C...g + g -> q + q~ or g + g. FACQQ1=COMFAC*AS**2*1./6.*(UH/TH-(2.+MSTP(34)*1./4.)*UH2/SH2)* & (WDTE(0,1)+WDTE(0,2)+WDTE(0,3)+WDTE(0,4))*FACA FACQQ2=COMFAC*AS**2*1./6.*(TH/UH-(2.+MSTP(34)*1./4.)*TH2/SH2)* & (WDTE(0,1)+WDTE(0,2)+WDTE(0,3)+WDTE(0,4))*FACA FACGG1=COMFAC*AS**2*9./4.*(SH2/TH2+2.*SH/TH+3.+2.*TH/SH+ & TH2/SH2)*FACA FACGG2=COMFAC*AS**2*9./4.*(UH2/SH2+2.*UH/SH+3.+2.*SH/UH+ & SH2/UH2)*FACA FACGG3=COMFAC*AS**2*9./4.*(TH2/UH2+2.*TH/UH+3+2.*UH/TH+UH2/TH2) NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=531 SIGH(NCHN)=FACQQ1 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=532 SIGH(NCHN)=FACQQ2 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=681 SIGH(NCHN)=0.5*FACGG1 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=682 SIGH(NCHN)=0.5*FACGG2 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=683 SIGH(NCHN)=0.5*FACGG3 ENDIF C...E: 2 -> 1, loop diagrams. ELSEIF(ISUB.LE.110) THEN IF(ISUB.EQ.101) THEN C...g + g -> gamma*/Z0. ELSEIF(ISUB.EQ.102) THEN C...g + g -> H0 (or H'0, or A0). CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=4.*COMFAC/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. HI=HP*WDTP(13)/32. IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1060 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1060 CONTINUE ELSEIF(ISUB.EQ.103) THEN C...gamma + gamma -> H0 (or H'0, or A0). CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=4.*COMFAC/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. HI=HP*WDTP(14)*2. IF(KFAC(1,22)*KFAC(2,22).EQ.0) GOTO 1070 NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1070 CONTINUE C...F: 2 -> 2, box diagrams. ELSEIF(ISUB.EQ.110) THEN C...f + f~ -> gamma + H0. THUH=MAX(TH*UH,SH*CKIN(3)**2) FACHG=COMFAC*(3.*AEM**4)/(2.*PARU(1)**2*XW*SQMW)*SH*THUH FACHG=FACHG*WIDS(KFHIGG,2) C...Calculate loop contributions for intermediate gamma* and Z0. CIGTOT=CMPLX(0.,0.) CIZTOT=CMPLX(0.,0.) JMAX=3*MSTP(1)+1 DO 1080 J=1,JMAX IF(J.LE.2*MSTP(1)) THEN FNC=1. EJ=KCHG(J,1)/3. AJ=SIGN(1.,EJ+0.1) VJ=AJ-4.*EJ*XW BALP=SQM4/(2.*PMAS(J,1))**2 BBET=SH/(2.*PMAS(J,1))**2 ELSEIF(J.LE.3*MSTP(1)) THEN FNC=3. JL=2*(J-2*MSTP(1))-1 EJ=KCHG(10+JL,1)/3. AJ=SIGN(1.,EJ+0.1) VJ=AJ-4.*EJ*XW BALP=SQM4/(2.*PMAS(10+JL,1))**2 BBET=SH/(2.*PMAS(10+JL,1))**2 ELSE BALP=SQM4/(2.*PMAS(24,1))**2 BBET=SH/(2.*PMAS(24,1))**2 ENDIF BABI=1./(BALP-BBET) IF(BALP.LT.1.) THEN F0ALP=CMPLX(ASIN(SQRT(BALP)),0.) F1ALP=F0ALP**2 ELSE F0ALP=CMPLX(LOG(SQRT(BALP)+SQRT(BALP-1.)),-0.5*PARU(1)) F1ALP=-F0ALP**2 ENDIF F2ALP=SQRT(ABS(BALP-1.)/BALP)*F0ALP IF(BBET.LT.1.) THEN F0BET=CMPLX(ASIN(SQRT(BBET)),0.) F1BET=F0BET**2 ELSE F0BET=CMPLX(LOG(SQRT(BBET)+SQRT(BBET-1.)),-0.5*PARU(1)) F1BET=-F0BET**2 ENDIF F2BET=SQRT(ABS(BBET-1.)/BBET)*F0BET IF(J.LE.3*MSTP(1)) THEN FIF=0.5*BABI+BABI**2*(0.5*(1.-BALP+BBET)*(F1BET-F1ALP)+ & BBET*(F2BET-F2ALP)) CIGTOT=CIGTOT+FNC*EJ**2*FIF CIZTOT=CIZTOT+FNC*EJ*VJ*FIF ELSE TXW=XW/(1.-XW) CIGTOT=CIGTOT-0.5*(BABI*(1.5+BALP)+BABI**2*((1.5-3.*BALP+ & 4.*BBET)*(F1BET-F1ALP)+BBET*(2.*BALP+3.)*(F2BET-F2ALP))) CIZTOT=CIZTOT-0.5*BABI*(1.-XW)*((5.-TXW+2.*BALP*(1.-TXW))* & (1.+2.*BABI*BBET*(F2BET-F2ALP))+BABI*(4.*BBET*(3.-TXW)- & (2.*BALP-1.)*(5.-TXW))*(F1BET-F1ALP)) ENDIF 1080 CONTINUE GMMZ=PMAS(23,1)*PMAS(23,2) CIGTOT=CIGTOT/SH CIZTOT=CIZTOT*XWC/CMPLX(SH-SQMZ,GMMZ) C...Loop over initial flavours. DO 1090 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1090 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACHG*FCOI*(ABS(EI*CIGTOT+VI*CIZTOT)**2+ & ABS(AI*CIZTOT)**2) 1090 CONTINUE ENDIF ELSEIF(ISUB.LE.120) THEN IF(ISUB.EQ.111) THEN C...f + f~ -> g + H0 (q + q~ -> g + H0 only). A5STUR=0. A5STUI=0. DO 1100 I=1,2*MSTP(1) SQMQ=PMAS(I,1)**2 EPSS=4.*SQMQ/SH EPSH=4.*SQMQ/SQMH CALL PYWAUX(1,EPSS,W1SR,W1SI) CALL PYWAUX(1,EPSH,W1HR,W1HI) CALL PYWAUX(2,EPSS,W2SR,W2SI) CALL PYWAUX(2,EPSH,W2HR,W2HI) A5STUR=A5STUR+EPSH*(1.+SH/(TH+UH)*(W1SR-W1HR)+ & (0.25-SQMQ/(TH+UH))*(W2SR-W2HR)) A5STUI=A5STUI+EPSH*(SH/(TH+UH)*(W1SI-W1HI)+ & (0.25-SQMQ/(TH+UH))*(W2SI-W2HI)) 1100 CONTINUE FACGH=COMFAC*FACA/(144.*PARU(1)**2)*AEM/XW*AS**3*SQMH/SQMW* & SQMH/SH*(UH**2+TH**2)/(UH+TH)**2*(A5STUR**2+A5STUI**2) FACGH=FACGH*WIDS(25,2) DO 1110 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1110 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACGH 1110 CONTINUE ELSEIF(ISUB.EQ.112) THEN C...f + g -> f + H0 (q + g -> q + H0 only). A5TSUR=0. A5TSUI=0. DO 1120 I=1,2*MSTP(1) SQMQ=PMAS(I,1)**2 EPST=4.*SQMQ/TH EPSH=4.*SQMQ/SQMH CALL PYWAUX(1,EPST,W1TR,W1TI) CALL PYWAUX(1,EPSH,W1HR,W1HI) CALL PYWAUX(2,EPST,W2TR,W2TI) CALL PYWAUX(2,EPSH,W2HR,W2HI) A5TSUR=A5TSUR+EPSH*(1.+TH/(SH+UH)*(W1TR-W1HR)+ & (0.25-SQMQ/(SH+UH))*(W2TR-W2HR)) A5TSUI=A5TSUI+EPSH*(TH/(SH+UH)*(W1TI-W1HI)+ & (0.25-SQMQ/(SH+UH))*(W2TI-W2HI)) 1120 CONTINUE FACQH=COMFAC*FACA/(384.*PARU(1)**2)*AEM/XW*AS**3*SQMH/SQMW* & SQMH/(-TH)*(UH**2+SH**2)/(UH+SH)**2*(A5TSUR**2+A5TSUI**2) FACQH=FACQH*WIDS(25,2) DO 1140 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58)) GOTO 1140 DO 1130 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1130 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1130 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQH 1130 CONTINUE 1140 CONTINUE ELSEIF(ISUB.EQ.113) THEN C...g + g -> g + H0. A2STUR=0. A2STUI=0. A2USTR=0. A2USTI=0. A2TUSR=0. A2TUSI=0. A4STUR=0. A4STUI=0. DO 1150 I=1,2*MSTP(1) SQMQ=PMAS(I,1)**2 EPSS=4.*SQMQ/SH EPST=4.*SQMQ/TH EPSU=4.*SQMQ/UH EPSH=4.*SQMQ/SQMH IF(EPSH.LT.1.E-6) GOTO 1150 CALL PYWAUX(1,EPSS,W1SR,W1SI) CALL PYWAUX(1,EPST,W1TR,W1TI) CALL PYWAUX(1,EPSU,W1UR,W1UI) CALL PYWAUX(1,EPSH,W1HR,W1HI) CALL PYWAUX(2,EPSS,W2SR,W2SI) CALL PYWAUX(2,EPST,W2TR,W2TI) CALL PYWAUX(2,EPSU,W2UR,W2UI) CALL PYWAUX(2,EPSH,W2HR,W2HI) CALL PYI3AU(EPSS,TH/UH,Y3STUR,Y3STUI) CALL PYI3AU(EPSS,UH/TH,Y3SUTR,Y3SUTI) CALL PYI3AU(EPST,SH/UH,Y3TSUR,Y3TSUI) CALL PYI3AU(EPST,UH/SH,Y3TUSR,Y3TUSI) CALL PYI3AU(EPSU,SH/TH,Y3USTR,Y3USTI) CALL PYI3AU(EPSU,TH/SH,Y3UTSR,Y3UTSI) CALL PYI3AU(EPSH,SQMH/SH*TH/UH,YHSTUR,YHSTUI) CALL PYI3AU(EPSH,SQMH/SH*UH/TH,YHSUTR,YHSUTI) CALL PYI3AU(EPSH,SQMH/TH*SH/UH,YHTSUR,YHTSUI) CALL PYI3AU(EPSH,SQMH/TH*UH/SH,YHTUSR,YHTUSI) CALL PYI3AU(EPSH,SQMH/UH*SH/TH,YHUSTR,YHUSTI) CALL PYI3AU(EPSH,SQMH/UH*TH/SH,YHUTSR,YHUTSI) W3STUR=YHSTUR-Y3STUR-Y3UTSR W3STUI=YHSTUI-Y3STUI-Y3UTSI W3SUTR=YHSUTR-Y3SUTR-Y3TUSR W3SUTI=YHSUTI-Y3SUTI-Y3TUSI W3TSUR=YHTSUR-Y3TSUR-Y3USTR W3TSUI=YHTSUI-Y3TSUI-Y3USTI W3TUSR=YHTUSR-Y3TUSR-Y3SUTR W3TUSI=YHTUSI-Y3TUSI-Y3SUTI W3USTR=YHUSTR-Y3USTR-Y3TSUR W3USTI=YHUSTI-Y3USTI-Y3TSUI W3UTSR=YHUTSR-Y3UTSR-Y3STUR W3UTSI=YHUTSI-Y3UTSI-Y3STUI B2STUR=SQMQ/SQMH**2*(SH*(UH-SH)/(SH+UH)+2.*TH*UH*(UH+2.*SH)/ & (SH+UH)**2*(W1TR-W1HR)+(SQMQ-SH/4.)*(0.5*W2SR+0.5*W2HR-W2TR+ & W3STUR)+SH2*(2.*SQMQ/(SH+UH)**2-0.5/(SH+UH))*(W2TR-W2HR)+ & 0.5*TH*UH/SH*(W2HR-2.*W2TR)+0.125*(SH-12.*SQMQ-4.*TH*UH/SH)* & W3TSUR) B2STUI=SQMQ/SQMH**2*(2.*TH*UH*(UH+2.*SH)/(SH+UH)**2* & (W1TI-W1HI)+(SQMQ-SH/4.)*(0.5*W2SI+0.5*W2HI-W2TI+W3STUI)+ & SH2*(2.*SQMQ/(SH+UH)**2-0.5/(SH+UH))*(W2TI-W2HI)+0.5*TH*UH/SH* & (W2HI-2.*W2TI)+0.125*(SH-12.*SQMQ-4.*TH*UH/SH)*W3TSUI) B2SUTR=SQMQ/SQMH**2*(SH*(TH-SH)/(SH+TH)+2.*UH*TH*(TH+2.*SH)/ & (SH+TH)**2*(W1UR-W1HR)+(SQMQ-SH/4.)*(0.5*W2SR+0.5*W2HR-W2UR+ & W3SUTR)+SH2*(2.*SQMQ/(SH+TH)**2-0.5/(SH+TH))*(W2UR-W2HR)+ & 0.5*UH*TH/SH*(W2HR-2.*W2UR)+0.125*(SH-12.*SQMQ-4.*UH*TH/SH)* & W3USTR) B2SUTI=SQMQ/SQMH**2*(2.*UH*TH*(TH+2.*SH)/(SH+TH)**2* & (W1UI-W1HI)+(SQMQ-SH/4.)*(0.5*W2SI+0.5*W2HI-W2UI+W3SUTI)+ & SH2*(2.*SQMQ/(SH+TH)**2-0.5/(SH+TH))*(W2UI-W2HI)+0.5*UH*TH/SH* & (W2HI-2.*W2UI)+0.125*(SH-12.*SQMQ-4.*UH*TH/SH)*W3USTI) B2TSUR=SQMQ/SQMH**2*(TH*(UH-TH)/(TH+UH)+2.*SH*UH*(UH+2.*TH)/ & (TH+UH)**2*(W1SR-W1HR)+(SQMQ-TH/4.)*(0.5*W2TR+0.5*W2HR-W2SR+ & W3TSUR)+TH2*(2.*SQMQ/(TH+UH)**2-0.5/(TH+UH))*(W2SR-W2HR)+ & 0.5*SH*UH/TH*(W2HR-2.*W2SR)+0.125*(TH-12.*SQMQ-4.*SH*UH/TH)* & W3STUR) B2TSUI=SQMQ/SQMH**2*(2.*SH*UH*(UH+2.*TH)/(TH+UH)**2* & (W1SI-W1HI)+(SQMQ-TH/4.)*(0.5*W2TI+0.5*W2HI-W2SI+W3TSUI)+ & TH2*(2.*SQMQ/(TH+UH)**2-0.5/(TH+UH))*(W2SI-W2HI)+0.5*SH*UH/TH* & (W2HI-2.*W2SI)+0.125*(TH-12.*SQMQ-4.*SH*UH/TH)*W3STUI) B2TUSR=SQMQ/SQMH**2*(TH*(SH-TH)/(TH+SH)+2.*UH*SH*(SH+2.*TH)/ & (TH+SH)**2*(W1UR-W1HR)+(SQMQ-TH/4.)*(0.5*W2TR+0.5*W2HR-W2UR+ & W3TUSR)+TH2*(2.*SQMQ/(TH+SH)**2-0.5/(TH+SH))*(W2UR-W2HR)+ & 0.5*UH*SH/TH*(W2HR-2.*W2UR)+0.125*(TH-12.*SQMQ-4.*UH*SH/TH)* & W3UTSR) B2TUSI=SQMQ/SQMH**2*(2.*UH*SH*(SH+2.*TH)/(TH+SH)**2* & (W1UI-W1HI)+(SQMQ-TH/4.)*(0.5*W2TI+0.5*W2HI-W2UI+W3TUSI)+ & TH2*(2.*SQMQ/(TH+SH)**2-0.5/(TH+SH))*(W2UI-W2HI)+0.5*UH*SH/TH* & (W2HI-2.*W2UI)+0.125*(TH-12.*SQMQ-4.*UH*SH/TH)*W3UTSI) B2USTR=SQMQ/SQMH**2*(UH*(TH-UH)/(UH+TH)+2.*SH*TH*(TH+2.*UH)/ & (UH+TH)**2*(W1SR-W1HR)+(SQMQ-UH/4.)*(0.5*W2UR+0.5*W2HR-W2SR+ & W3USTR)+UH2*(2.*SQMQ/(UH+TH)**2-0.5/(UH+TH))*(W2SR-W2HR)+ & 0.5*SH*TH/UH*(W2HR-2.*W2SR)+0.125*(UH-12.*SQMQ-4.*SH*TH/UH)* & W3SUTR) B2USTI=SQMQ/SQMH**2*(2.*SH*TH*(TH+2.*UH)/(UH+TH)**2* & (W1SI-W1HI)+(SQMQ-UH/4.)*(0.5*W2UI+0.5*W2HI-W2SI+W3USTI)+ & UH2*(2.*SQMQ/(UH+TH)**2-0.5/(UH+TH))*(W2SI-W2HI)+0.5*SH*TH/UH* & (W2HI-2.*W2SI)+0.125*(UH-12.*SQMQ-4.*SH*TH/UH)*W3SUTI) B2UTSR=SQMQ/SQMH**2*(UH*(SH-UH)/(UH+SH)+2.*TH*SH*(SH+2.*UH)/ & (UH+SH)**2*(W1TR-W1HR)+(SQMQ-UH/4.)*(0.5*W2UR+0.5*W2HR-W2TR+ & W3UTSR)+UH2*(2.*SQMQ/(UH+SH)**2-0.5/(UH+SH))*(W2TR-W2HR)+ & 0.5*TH*SH/UH*(W2HR-2.*W2TR)+0.125*(UH-12.*SQMQ-4.*TH*SH/UH)* & W3TUSR) B2UTSI=SQMQ/SQMH**2*(2.*TH*SH*(SH+2.*UH)/(UH+SH)**2* & (W1TI-W1HI)+(SQMQ-UH/4.)*(0.5*W2UI+0.5*W2HI-W2TI+W3UTSI)+ & UH2*(2.*SQMQ/(UH+SH)**2-0.5/(UH+SH))*(W2TI-W2HI)+0.5*TH*SH/UH* & (W2HI-2.*W2TI)+0.125*(UH-12.*SQMQ-4.*TH*SH/UH)*W3TUSI) B4STUR=0.25*EPSH*(-2./3.+0.25*(EPSH-1.)*(W2SR-W2HR+W3STUR)) B4STUI=0.25*EPSH*0.25*(EPSH-1.)*(W2SI-W2HI+W3STUI) B4TUSR=0.25*EPSH*(-2./3.+0.25*(EPSH-1.)*(W2TR-W2HR+W3TUSR)) B4TUSI=0.25*EPSH*0.25*(EPSH-1.)*(W2TI-W2HI+W3TUSI) B4USTR=0.25*EPSH*(-2./3.+0.25*(EPSH-1.)*(W2UR-W2HR+W3USTR)) B4USTI=0.25*EPSH*0.25*(EPSH-1.)*(W2UI-W2HI+W3USTI) A2STUR=A2STUR+B2STUR+B2SUTR A2STUI=A2STUI+B2STUI+B2SUTI A2USTR=A2USTR+B2USTR+B2UTSR A2USTI=A2USTI+B2USTI+B2UTSI A2TUSR=A2TUSR+B2TUSR+B2TSUR A2TUSI=A2TUSI+B2TUSI+B2TSUI A4STUR=A4STUR+B4STUR+B4USTR+B4TUSR A4STUI=A4STUI+B4STUI+B4USTI+B4TUSI 1150 CONTINUE FACGH=COMFAC*FACA*3./(128.*PARU(1)**2)*AEM/XW*AS**3* & SQMH/SQMW*SQMH**3/(SH*TH*UH)*(A2STUR**2+A2STUI**2+A2USTR**2+ & A2USTI**2+A2TUSR**2+A2TUSI**2+A4STUR**2+A4STUI**2) FACGH=FACGH*WIDS(25,2) IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1160 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGH 1160 CONTINUE ELSEIF(ISUB.EQ.114.OR.ISUB.EQ.115) THEN C...g + g -> gamma + gamma or g + g -> g + gamma. A0STUR=0. A0STUI=0. A0TSUR=0. A0TSUI=0. A0UTSR=0. A0UTSI=0. A1STUR=0. A1STUI=0. A2STUR=0. A2STUI=0. ALST=LOG(-SH/TH) ALSU=LOG(-SH/UH) ALTU=LOG(TH/UH) IMAX=2*MSTP(1) IF(MSTP(38).GE.1.AND.MSTP(38).LE.8) IMAX=MSTP(38) DO 1170 I=1,IMAX EI=KCHG(IABS(I),1)/3. EIWT=EI**2 IF(ISUB.EQ.115) EIWT=EI SQMQ=PMAS(I,1)**2 EPSS=4.*SQMQ/SH EPST=4.*SQMQ/TH EPSU=4.*SQMQ/UH IF((MSTP(38).GE.1.AND.MSTP(38).LE.8).OR.EPSS.LT.1.E-4) THEN B0STUR=1.+(TH-UH)/SH*ALTU+0.5*(TH2+UH2)/SH2*(ALTU**2+ & PARU(1)**2) B0STUI=0. B0TSUR=1.+(SH-UH)/TH*ALSU+0.5*(SH2+UH2)/TH2*ALSU**2 B0TSUI=-PARU(1)*((SH-UH)/TH+(SH2+UH2)/TH2*ALSU) B0UTSR=1.+(SH-TH)/UH*ALST+0.5*(SH2+TH2)/UH2*ALST**2 B0UTSI=-PARU(1)*((SH-TH)/UH+(SH2+TH2)/UH2*ALST) B1STUR=-1. B1STUI=0. B2STUR=-1. B2STUI=0. ELSE CALL PYWAUX(1,EPSS,W1SR,W1SI) CALL PYWAUX(1,EPST,W1TR,W1TI) CALL PYWAUX(1,EPSU,W1UR,W1UI) CALL PYWAUX(2,EPSS,W2SR,W2SI) CALL PYWAUX(2,EPST,W2TR,W2TI) CALL PYWAUX(2,EPSU,W2UR,W2UI) CALL PYI3AU(EPSS,TH/UH,Y3STUR,Y3STUI) CALL PYI3AU(EPSS,UH/TH,Y3SUTR,Y3SUTI) CALL PYI3AU(EPST,SH/UH,Y3TSUR,Y3TSUI) CALL PYI3AU(EPST,UH/SH,Y3TUSR,Y3TUSI) CALL PYI3AU(EPSU,SH/TH,Y3USTR,Y3USTI) CALL PYI3AU(EPSU,TH/SH,Y3UTSR,Y3UTSI) B0STUR=1.+(1.+2.*TH/SH)*W1TR+(1.+2.*UH/SH)*W1UR+ & 0.5*((TH2+UH2)/SH2-EPSS)*(W2TR+W2UR)- & 0.25*EPST*(1.-0.5*EPSS)*(Y3SUTR+Y3TUSR)- & 0.25*EPSU*(1.-0.5*EPSS)*(Y3STUR+Y3UTSR)+ & 0.25*(-2.*(TH2+UH2)/SH2+4.*EPSS+EPST+EPSU+0.5*EPST*EPSU)* & (Y3TSUR+Y3USTR) B0STUI=(1.+2.*TH/SH)*W1TI+(1.+2.*UH/SH)*W1UI+ & 0.5*((TH2+UH2)/SH2-EPSS)*(W2TI+W2UI)- & 0.25*EPST*(1.-0.5*EPSS)*(Y3SUTI+Y3TUSI)- & 0.25*EPSU*(1.-0.5*EPSS)*(Y3STUI+Y3UTSI)+ & 0.25*(-2.*(TH2+UH2)/SH2+4.*EPSS+EPST+EPSU+0.5*EPST*EPSU)* & (Y3TSUI+Y3USTI) B0TSUR=1.+(1.+2.*SH/TH)*W1SR+(1.+2.*UH/TH)*W1UR+ & 0.5*((SH2+UH2)/TH2-EPST)*(W2SR+W2UR)- & 0.25*EPSS*(1.-0.5*EPST)*(Y3TUSR+Y3SUTR)- & 0.25*EPSU*(1.-0.5*EPST)*(Y3TSUR+Y3USTR)+ & 0.25*(-2.*(SH2+UH2)/TH2+4.*EPST+EPSS+EPSU+0.5*EPSS*EPSU)* & (Y3STUR+Y3UTSR) B0TSUI=(1.+2.*SH/TH)*W1SI+(1.+2.*UH/TH)*W1UI+ & 0.5*((SH2+UH2)/TH2-EPST)*(W2SI+W2UI)- & 0.25*EPSS*(1.-0.5*EPST)*(Y3TUSI+Y3SUTI)- & 0.25*EPSU*(1.-0.5*EPST)*(Y3TSUI+Y3USTI)+ & 0.25*(-2.*(SH2+UH2)/TH2+4.*EPST+EPSS+EPSU+0.5*EPSS*EPSU)* & (Y3STUI+Y3UTSI) B0UTSR=1.+(1.+2.*TH/UH)*W1TR+(1.+2.*SH/UH)*W1SR+ & 0.5*((TH2+SH2)/UH2-EPSU)*(W2TR+W2SR)- & 0.25*EPST*(1.-0.5*EPSU)*(Y3USTR+Y3TSUR)- & 0.25*EPSS*(1.-0.5*EPSU)*(Y3UTSR+Y3STUR)+ & 0.25*(-2.*(TH2+SH2)/UH2+4.*EPSU+EPST+EPSS+0.5*EPST*EPSS)* & (Y3TUSR+Y3SUTR) B0UTSI=(1.+2.*TH/UH)*W1TI+(1.+2.*SH/UH)*W1SI+ & 0.5*((TH2+SH2)/UH2-EPSU)*(W2TI+W2SI)- & 0.25*EPST*(1.-0.5*EPSU)*(Y3USTI+Y3TSUI)- & 0.25*EPSS*(1.-0.5*EPSU)*(Y3UTSI+Y3STUI)+ & 0.25*(-2.*(TH2+SH2)/UH2+4.*EPSU+EPST+EPSS+0.5*EPST*EPSS)* & (Y3TUSI+Y3SUTI) B1STUR=-1.-0.25*(EPSS+EPST+EPSU)*(W2SR+W2TR+W2UR)+ & 0.25*(EPSU+0.5*EPSS*EPST)*(Y3SUTR+Y3TUSR)+ & 0.25*(EPST+0.5*EPSS*EPSU)*(Y3STUR+Y3UTSR)+ & 0.25*(EPSS+0.5*EPST*EPSU)*(Y3TSUR+Y3USTR) B1STUI=-0.25*(EPSS+EPST+EPSU)*(W2SI+W2TI+W2UI)+ & 0.25*(EPSU+0.5*EPSS*EPST)*(Y3SUTI+Y3TUSI)+ & 0.25*(EPST+0.5*EPSS*EPSU)*(Y3STUI+Y3UTSI)+ & 0.25*(EPSS+0.5*EPST*EPSU)*(Y3TSUI+Y3USTI) B2STUR=-1.+0.125*EPSS*EPST*(Y3SUTR+Y3TUSR)+ & 0.125*EPSS*EPSU*(Y3STUR+Y3UTSR)+ & 0.125*EPST*EPSU*(Y3TSUR+Y3USTR) B2STUI=0.125*EPSS*EPST*(Y3SUTI+Y3TUSI)+ & 0.125*EPSS*EPSU*(Y3STUI+Y3UTSI)+ & 0.125*EPST*EPSU*(Y3TSUI+Y3USTI) ENDIF A0STUR=A0STUR+EIWT*B0STUR A0STUI=A0STUI+EIWT*B0STUI A0TSUR=A0TSUR+EIWT*B0TSUR A0TSUI=A0TSUI+EIWT*B0TSUI A0UTSR=A0UTSR+EIWT*B0UTSR A0UTSI=A0UTSI+EIWT*B0UTSI A1STUR=A1STUR+EIWT*B1STUR A1STUI=A1STUI+EIWT*B1STUI A2STUR=A2STUR+EIWT*B2STUR A2STUI=A2STUI+EIWT*B2STUI 1170 CONTINUE ASQSUM=A0STUR**2+A0STUI**2+A0TSUR**2+A0TSUI**2+A0UTSR**2+ & A0UTSI**2+4.*A1STUR**2+4.*A1STUI**2+A2STUR**2+A2STUI**2 FACGG=COMFAC*FACA/(16.*PARU(1)**2)*AS**2*AEM**2*ASQSUM FACGP=COMFAC*FACA*5./(192.*PARU(1)**2)*AS**3*AEM*ASQSUM IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1180 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 IF(ISUB.EQ.114) SIGH(NCHN)=0.5*FACGG IF(ISUB.EQ.115) SIGH(NCHN)=FACGP 1180 CONTINUE ELSEIF(ISUB.EQ.116) THEN C...g + g -> gamma + Z0. ELSEIF(ISUB.EQ.117) THEN C...g + g -> Z0 + Z0. ELSEIF(ISUB.EQ.118) THEN C...g + g -> W+ + W-. ENDIF C...G: 2 -> 3, tree diagrams. ELSEIF(ISUB.LE.140) THEN IF(ISUB.EQ.121) THEN C...g + g -> Q + Q~ + H0. IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1190 IA=KFPR(ISUBSV,2) PMF=PMAS(IA,1) FACQQH=COMFAC*(4.*PARU(1)*AEM/XW)*(4.*PARU(1)*AS)**2* & (0.5*PMF/PMAS(24,1))**2 IF(IA.LE.10.AND.MSTP(37).EQ.1) FACQQH=FACQQH* & (LOG(MAX(4.,PARP(37)**2*PMF**2/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) WID2=1. IF(IA.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((IA.EQ.7.OR.IA.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(IA+20,1) FACQQH=FACQQH*WID2 IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN IKFI=1 IF(IA.LE.10.AND.MOD(IA,2).EQ.0) IKFI=2 IF(IA.GT.10) IKFI=3 FACQQH=FACQQH*PARU(150+10*IHIGG+IKFI)**2 ENDIF CALL PYQQBH(WTQQBH) CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=(1./PARU(1))*VINT(2)*HF/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQH*WTQQBH*FACBW 1190 CONTINUE ELSEIF(ISUB.EQ.122) THEN C...q + q~ -> Q + Q~ + H0. IA=KFPR(ISUBSV,2) PMF=PMAS(IA,1) FACQQH=COMFAC*(4.*PARU(1)*AEM/XW)*(4.*PARU(1)*AS)**2* & (0.5*PMF/PMAS(24,1))**2 IF(IA.LE.10.AND.MSTP(37).EQ.1) FACQQH=FACQQH* & (LOG(MAX(4.,PARP(37)**2*PMF**2/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) WID2=1. IF(IA.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((IA.EQ.7.OR.IA.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(IA+20,1) FACQQH=FACQQH*WID2 IF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN IKFI=1 IF(IA.LE.10.AND.MOD(IA,2).EQ.0) IKFI=2 IF(IA.GT.10) IKFI=3 FACQQH=FACQQH*PARU(150+10*IHIGG+IKFI)**2 ENDIF CALL PYQQBH(WTQQBH) CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=(1./PARU(1))*VINT(2)*HF/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. DO 1200 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1200 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQH*WTQQBH*FACBW 1200 CONTINUE ELSEIF(ISUB.EQ.123) THEN C...f + f' -> f + f' + H0 (or H'0, or A0) (Z0 + Z0 -> H0 as C...inner process). FACNOR=COMFAC*(4.*PARU(1)*AEM/(XW*(1.-XW)))**3*SQMZ/32. IF(MSTP(4).GE.1.OR.IHIGG.GE.2) FACNOR=FACNOR* & PARU(154+10*IHIGG)**2 FACPRP=1./((VINT(215)-VINT(204)**2)*(VINT(216)-VINT(209)**2))**2 FACZZ1=FACNOR*FACPRP*(0.5*TAUP*VINT(2))*VINT(219) FACZZ2=FACNOR*FACPRP*VINT(217)*VINT(218) CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=(1./PARU(1))*VINT(2)*HF/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. DO 1220 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1220 IA=IABS(I) DO 1210 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1210 JA=IABS(J) EI=KCHG(IA,1)*ISIGN(1,I)/3. AI=SIGN(1.,KCHG(IA,1)+0.5)*ISIGN(1,I) VI=AI-4.*EI*XW EJ=KCHG(JA,1)*ISIGN(1,J)/3. AJ=SIGN(1.,KCHG(JA,1)+0.5)*ISIGN(1,J) VJ=AJ-4.*EJ*XW FACLR1=(VI**2+AI**2)*(VJ**2+AJ**2)+4.*VI*AI*VJ*AJ FACLR2=(VI**2+AI**2)*(VJ**2+AJ**2)-4.*VI*AI*VJ*AJ NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=(FACLR1*FACZZ1+FACLR2*FACZZ2)*FACBW 1210 CONTINUE 1220 CONTINUE ELSEIF(ISUB.EQ.124) THEN C...f + f' -> f" + f"' + H0 (or H'0, or A0) (W+ + W- -> H0 as C...inner process). FACNOR=COMFAC*(4.*PARU(1)*AEM/XW)**3*SQMW IF(MSTP(4).GE.1.OR.IHIGG.GE.2) FACNOR=FACNOR* & PARU(155+10*IHIGG)**2 FACPRP=1./((VINT(215)-VINT(204)**2)*(VINT(216)-VINT(209)**2))**2 FACWW=FACNOR*FACPRP*(0.5*TAUP*VINT(2))*VINT(219) CALL PYWIDT(KFHIGG,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) FACBW=(1./PARU(1))*VINT(2)*HF/((SH-SQMH)**2+HS**2) IF(ABS(SH-SQMH).GT.100.*HS) FACBW=0. DO 1240 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1240 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 1230 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1230 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.GT.0.) GOTO 1230 FACLR=VINT(180+I)*VINT(180+J) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=FACLR*FACWW*FACBW 1230 CONTINUE 1240 CONTINUE ELSEIF(ISUB.EQ.131) THEN C...g + g -> Z0 + q + qbar. IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1280 C...Read out information on flavours, masses, couplings. KFQ=KFPR(131,2) KFL=IABS(KFDP(MINT(35),1)) PMH=SQRT(SH) PMQQ=SQRT(VINT(64)) PMLL=SQRT(VINT(63)) PMQ=PMAS(KFQ,1) QFQ=KCHG(KFQ,1)/3. AFQ=SIGN(1.,QFQ+0.1) VFQ=AFQ-4.*XW*QFQ QFL=KCHG(KFL,1)/3. AFL=SIGN(1.,QFL+0.1) VFL=AFL-4.*XW*QFL WID2=1. IF(KFQ.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((KFQ.EQ.7.OR.KFQ.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(KFQ+20,1) C...Set line numbers for particles. IG1=MINT(84)+1 IG2=MINT(84)+2 IQ1=MINT(84)+3 IQ2=MINT(84)+4 IL1=MINT(84)+5 IL2=MINT(84)+6 IZ=MINT(84)+7 C...Reconstruct decay kinematics. DO 1260 I=MINT(84)+1,MINT(84)+7 K(I,1)=1 DO 1250 J=1,5 P(I,J)=0. 1250 CONTINUE 1260 CONTINUE P(IG1,4)=0.5*PMH P(IG1,3)=P(IG1,4) P(IG2,4)=P(IG1,4) P(IG2,3)=-P(IG1,3) P(IQ1,5)=PMQ P(IQ1,4)=0.5*PMQQ P(IQ1,3)=SQRT(MAX(0.,P(IQ1,4)**2-PMQ**2)) P(IQ2,5)=PMQ P(IQ2,4)=P(IQ1,4) P(IQ2,3)=-P(IQ1,3) P(IL1,4)=0.5*PMLL P(IL1,3)=P(IL1,4) P(IL2,4)=P(IL1,4) P(IL2,3)=-P(IL1,3) P(IZ,5)=PMLL P(IZ,4)=0.5*(PMH+(PMLL**2-PMQQ**2)/PMH) P(IZ,3)=SQRT(MAX(0.,P(IZ,4)**2-PMLL**2)) CALL LUDBRB(IQ1,IQ2,ACOS(VINT(83)),VINT(84),0D0,0D0, & -DBLE(P(IZ,3)/(PMH-P(IZ,4)))) CALL LUDBRB(IL1,IL2,ACOS(VINT(81)),VINT(82),0D0,0D0, & DBLE(P(IZ,3)/P(IZ,4))) CALL LUDBRB(IQ1,IZ,ACOS(VINT(23)),VINT(24),0D0,0D0,0D0) C...Interface information to program of Ronald Kleiss. RKMQ=PMQ RKMZ=PMAS(23,1) RKGZ=PMAS(23,2) RKVQ=VFQ RKAQ=AFQ RKVL=VFL RKAL=AFL RKG1(0)=P(IG1,4) RKG2(0)=P(IG2,4) RKQ1(0)=P(IQ1,4) RKQ2(0)=P(IQ2,4) RKL1(0)=P(IL1,4) RKL2(0)=P(IL2,4) DO 1270 J=1,3 RKG1(J)=P(IG1,J) RKG2(J)=P(IG2,J) RKQ1(J)=P(IQ1,J) RKQ2(J)=P(IQ2,J) RKL1(J)=P(IL1,J) RKL2(J)=P(IL2,J) 1270 CONTINUE CALL RKBBV(RKG1,RKG2,RKQ1,RKQ2,RKL1,RKL2,1,RKRES) C...Multiply with normalization factors. WTMEP=1./(2.*SH*PARU(2)**8) WTCOU=AS**2*(4.*PARU(1)*AEM*XWC)**2 WTZQQ=WTMEP*WTCOU*RKRES WTPHS=(PARU(1)/2.)**2*PMQQ**2* & (PARU(1)*((PMLL**2-PMAS(23,1)**2)**2+(PMAS(23,1)* & PMAS(23,2))**2)/(PMAS(23,1)*PMAS(23,2)))*0.5*SH NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=INT(1.5+RLU(0)) SIGH(NCHN)=COMFAC*WTPHS*WTZQQ*WID2 1280 CONTINUE ENDIF C...H: 2 -> 1, tree diagrams, non-standard model processes. ELSEIF(ISUB.LE.160) THEN IF(ISUB.EQ.141) THEN C...f + f~ -> gamma*/Z0/Z'0. MINT(61)=2 CALL PYWIDT(32,SH,WDTP,WDTE) HP0=AEM/3.*SH HP1=AEM/3.*XWC*SH HP2=HP1 HS=HP1*VINT(117) HSP=HP2*WDTP(0) FACZP=4.*COMFAC*3. DO 1290 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1290 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW IF(IABS(I).LT.10) THEN VPI=PARU(123-2*MOD(IABS(I),2)) API=PARU(124-2*MOD(IABS(I),2)) ELSE VPI=PARU(127-2*MOD(IABS(I),2)) API=PARU(128-2*MOD(IABS(I),2)) ENDIF HI0=HP0 IF(IABS(I).LE.10) HI0=HI0*FACA/3. HI1=HP1 IF(IABS(I).LE.10) HI1=HI1*FACA/3. HI2=HP2 IF(IABS(I).LE.10) HI2=HI2*FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACZP*(EI**2/SH2*HI0*HP0*VINT(111)+EI*VI* & (1.-SQMZ/SH)/((SH-SQMZ)**2+HS**2)*(HI0*HP1+HI1*HP0)*VINT(112)+ & EI*VPI*(1.-SQMZP/SH)/((SH-SQMZP)**2+HSP**2)*(HI0*HP2+HI2*HP0)* & VINT(113)+(VI**2+AI**2)/((SH-SQMZ)**2+HS**2)*HI1*HP1*VINT(114)+ & (VI*VPI+AI*API)*((SH-SQMZ)*(SH-SQMZP)+HS*HSP)/(((SH-SQMZ)**2+ & HS**2)*((SH-SQMZP)**2+HSP**2))*(HI1*HP2+HI2*HP1)*VINT(115)+ & (VPI**2+API**2)/((SH-SQMZP)**2+HSP**2)*HI2*HP2*VINT(116)) 1290 CONTINUE ELSEIF(ISUB.EQ.142) THEN C...f + f~' -> W'+/-. CALL PYWIDT(34,SH,WDTP,WDTE) HP=AEM/(24.*XW)*SH HS=HP*WDTP(0) FACBW=4.*COMFAC/((SH-SQMWP)**2+HS**2)*3. DO 1310 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1310 IA=IABS(I) DO 1300 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1300 JA=IABS(J) IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 1300 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 1300 KCHW=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 HI=HP*(PARU(133)**2+PARU(134)**2) IF(IA.LE.10) HI=HP*(PARU(131)**2+PARU(132)**2)* & VCKM((IA+1)/2,(JA+1)/2)*FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 HF=HP*(WDTE(0,1)+WDTE(0,(5-KCHW)/2)+WDTE(0,4)) SIGH(NCHN)=HI*FACBW*HF 1300 CONTINUE 1310 CONTINUE ELSEIF(ISUB.EQ.143) THEN C...f + f~' -> H+/-. CALL PYWIDT(37,SH,WDTP,WDTE) HP=AEM/(8.*XW)*SH/SQMW*SH HS=HP*WDTP(0) FACBW=4.*COMFAC/((SH-SQMHC)**2+HS**2) DO 1330 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1330 IA=IABS(I) IM=(MOD(IA,10)+1)/2 DO 1320 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1320 JA=IABS(J) JM=(MOD(JA,10)+1)/2 IF(I*J.GT.0.OR.IA.EQ.JA.OR.IM.NE.JM) GOTO 1320 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 1320 IF(MOD(IA,2).EQ.0) THEN IU=IA IL=JA ELSE IU=JA IL=IA ENDIF RML=PMAS(IL,1)**2/SH RMU=PMAS(IU,1)**2/SH IF(IL.LE.10.AND.MSTP(37).EQ.1) RML=RML* & (LOG(MAX(4.,PARP(37)**2*RML*SH/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) HI=HP*(RML*PARU(141)**2+RMU/PARU(141)**2) IF(IA.LE.10) HI=HI*FACA/3. KCHHC=(KCHG(IA,1)*ISIGN(1,I)+KCHG(JA,1)*ISIGN(1,J))/3 HF=HP*(WDTE(0,1)+WDTE(0,(5-KCHHC)/2)+WDTE(0,4)) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1320 CONTINUE 1330 CONTINUE ELSEIF(ISUB.EQ.144) THEN C...f + f~' -> R. CALL PYWIDT(40,SH,WDTP,WDTE) HP=AEM/(12.*XW)*SH HS=HP*WDTP(0) FACBW=4.*COMFAC/((SH-SQMR)**2+HS**2)*3. DO 1350 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1350 IA=IABS(I) DO 1340 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1340 JA=IABS(J) IF(I*J.GT.0.OR.IABS(IA-JA).NE.2) GOTO 1340 HI=HP IF(IA.LE.10) HI=HI*FACA/3. HF=HP*(WDTE(0,1)+WDTE(0,(10-(I+J))/4)+WDTE(0,4)) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1340 CONTINUE 1350 CONTINUE ELSEIF(ISUB.EQ.145) THEN C...q + l -> LQ (leptoquark). CALL PYWIDT(39,SH,WDTP,WDTE) HP=AEM/4.*SH HS=HP*WDTP(0) FACBW=4.*COMFAC/((SH-SQMLQ)**2+HS**2) IF(ABS(SH-SQMLQ).GT.100.*HS) FACBW=0. KFLQQ=KFDP(MDCY(39,2),1) KFLQL=KFDP(MDCY(39,2),2) DO 1370 I=MIN1,MAX1 IF(KFAC(1,I).EQ.0) GOTO 1370 IA=IABS(I) IF(IA.NE.KFLQQ.AND.IA.NE.KFLQL) GOTO 1370 DO 1360 J=MIN2,MAX2 IF(KFAC(2,J).EQ.0) GOTO 1360 JA=IABS(J) IF(JA.NE.KFLQQ.AND.JA.NE.KFLQL) GOTO 1360 IF(I*J.NE.KFLQQ*KFLQL) GOTO 1360 IF(IA.EQ.KFLQQ) KCHLQ=ISIGN(1,I) IF(JA.EQ.KFLQQ) KCHLQ=ISIGN(1,J) HI=HP*PARU(151) HF=HP*(WDTE(0,1)+WDTE(0,(5-KCHLQ)/2)+WDTE(0,4)) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1360 CONTINUE 1370 CONTINUE ELSEIF(ISUB.EQ.147) THEN C...d + g -> d* (excited quark). CALL PYWIDT(7,SH,WDTP,WDTE) HP=SH HS=HP*WDTP(0) FACBW=COMFAC/((SH-PMAS(7,1)**2)**2+HS**2) FACBW=FACBW*AS*PARU(159)**2*SH/(3.*PARU(155)**2) IF(ABS(SH-PMAS(7,1)**2).GT.100.*HS) FACBW=0. DO 1390 I=-1,1,2 DO 1380 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1380 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1380 HI=HP HF=HP*(WDTE(0,1)+WDTE(0,(5-I)/2)+WDTE(0,4)) NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1380 CONTINUE 1390 CONTINUE ELSEIF(ISUB.EQ.148) THEN C...u + g -> u* (excited quark). CALL PYWIDT(8,SH,WDTP,WDTE) HP=SH HS=HP*WDTP(0) FACBW=COMFAC/((SH-PMAS(8,1)**2)**2+HS**2) FACBW=FACBW*AS*PARU(159)**2*SH/(3.*PARU(155)**2) IF(ABS(SH-PMAS(8,1)**2).GT.100.*HS) FACBW=0. DO 1410 I=-2,2,4 DO 1400 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1400 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1400 HI=HP HF=HP*(WDTE(0,1)+WDTE(0,(5-I/2)/2)+WDTE(0,4)) NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1400 CONTINUE 1410 CONTINUE ELSEIF(ISUB.EQ.149) THEN C...g + g -> eta_techni. CALL PYWIDT(38,SH,WDTP,WDTE) HP=SH HS=HP*WDTP(0) FACBW=COMFAC*0.5/((SH-PMAS(38,1)**2)**2+HS**2) IF(ABS(SH-PMAS(38,1)**2).GT.100.*HS) FACBW=0. IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1420 HI=HP*WDTP(3) HF=HP*(WDTE(0,1)+WDTE(0,2)+WDTE(0,4)) NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 1420 CONTINUE ENDIF C...I: 2 -> 2, tree diagrams, non-standard model processes. ELSE IF(ISUB.EQ.161) THEN C...f + g -> f' + H+/- (b + g -> t + H+/- only) C...(choice of only b and t to avoid kinematics problems). FHCQ=COMFAC*FACA*AS*AEM/XW*1./24 DO 1440 I=MINA,MAXA IA=IABS(I) IF(IA.NE.5) GOTO 1440 SQML=PMAS(IA,1)**2 IF(IA.LE.10.AND.MSTP(37).EQ.1) SQML=SQML* & (LOG(MAX(4.,PARP(37)**2*SQML/PARU(117)**2))/ & LOG(MAX(4.,SH/PARU(117)**2)))**(24./(33.-2.*MSTU(118))) IUA=IA+MOD(IA,2) SQMQ=PMAS(IUA,1)**2 FACHCQ=FHCQ*(SQML*PARU(141)**2+SQMQ/PARU(141)**2)/SQMW* & (SH/(SQMQ-UH)+2.*SQMQ*(SQMHC-UH)/(SQMQ-UH)**2+(SQMQ-UH)/SH+ & 2.*SQMQ/(SQMQ-UH)+2.*(SQMHC-UH)/(SQMQ-UH)*(SQMHC-SQMQ-SH)/SH) KCHHC=ISIGN(1,KCHG(IA,1)*ISIGN(1,I)) DO 1430 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1430 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,1).EQ.0) GOTO 1430 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACHCQ*WIDS(37,(5-KCHHC)/2) 1430 CONTINUE 1440 CONTINUE ELSEIF(ISUB.EQ.162) THEN C...q + g -> LQ + l~; LQ=leptoquark. FACLQ=COMFAC*FACA*PARU(151)*(AS*AEM/6.)*(-TH/SH)* & (UH2+SQMLQ**2)/(UH-SQMLQ)**2 KFLQQ=KFDP(MDCY(39,2),1) DO 1460 I=MINA,MAXA IF(IABS(I).NE.KFLQQ) GOTO 1460 KCHLQ=ISIGN(1,I) DO 1450 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1450 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1450 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACLQ*WIDS(39,(5-KCHLQ)/2) 1450 CONTINUE 1460 CONTINUE ELSEIF(ISUB.EQ.163) THEN C...g + g -> LQ + LQ~; LQ=leptoquark. FACLQ=COMFAC*FACA*WIDS(39,1)*(AS**2/2.)* & (7./48.+3.*(UH-TH)**2/(16.*SH2))*(1.+2.*SQMLQ*TH/(TH-SQMLQ)**2+ & 2.*SQMLQ*UH/(UH-SQMLQ)**2+4.*SQMLQ**2/((TH-SQMLQ)*(UH-SQMLQ))) IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1470 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 C...Since don't know proper colour flow, randomize between alternatives. ISIG(NCHN,3)=INT(1.5+RLU(0)) SIGH(NCHN)=FACLQ 1470 CONTINUE ELSEIF(ISUB.EQ.164) THEN C...q + q~ -> LQ + LQ~; LQ=leptoquark. FACLQA=COMFAC*WIDS(39,1)*(AS**2/9.)* & (SH*(SH-4.*SQMLQ)-(UH-TH)**2)/SH2 FACLQS=COMFAC*WIDS(39,1)*((PARU(151)**2*AEM**2/8.)* & (-SH*TH-(SQMLQ-TH)**2)/TH2+(PARU(151)*AEM*AS/18.)* & ((SQMLQ-TH)*(UH-TH)+SH*(SQMLQ+TH))/(SH*TH)) KFLQQ=KFDP(MDCY(39,2),1) DO 1480 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(58).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1480 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACLQA IF(IABS(I).EQ.KFLQQ) SIGH(NCHN)=FACLQA+FACLQS 1480 CONTINUE ELSEIF(ISUB.EQ.165) THEN C...q + q~ -> l+ + l- (including contact term for compositeness). ZRATR=XWC*SH*(SH-SQMZ)/((SH-SQMZ)**2+SQMZ*PMAS(23,2)**2) ZRATI=XWC*SH*PMAS(23,1)*PMAS(23,2)/ & ((SH-SQMZ)**2+SQMZ*PMAS(23,2)**2) KFF=IABS(KFPR(ISUB,1)) EF=KCHG(KFF,1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW VALF=VF+AF VARF=VF-AF FCOF=1. IF(KFF.LE.10) FCOF=3. WID2=1. IF(KFF.EQ.6.AND.MSTP(48).GE.1) WID2=WIDS(26,1) IF((KFF.EQ.7.OR.KFF.EQ.8).AND.MSTP(49).GE.1) WID2=WIDS(KFF+20,1) IF((KFF.EQ.17.OR.KFF.EQ.18).AND.MSTP(49).GE.1) WID2= & WIDS(KFF+12,1) DO 1490 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1490 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI+0.1) VI=AI-4.*EI*XW VALI=VI+AI VARI=VI-AI FCOI=1. IF(IABS(I).LE.10) FCOI=FACA/3. IF((MSTP(5).EQ.1.AND.IABS(I).LE.2).OR.MSTP(5).EQ.2) THEN FGZA=(EI*EF+VALI*VALF*ZRATR+PARU(156)*SH/ & (AEM*PARU(155)**2))**2+(VALI*VALF*ZRATI)**2+ & (EI*EF+VARI*VARF*ZRATR)**2+(VARI*VARF*ZRATI)**2 ELSE FGZA=(EI*EF+VALI*VALF*ZRATR)**2+(VALI*VALF*ZRATI)**2+ & (EI*EF+VARI*VARF*ZRATR)**2+(VARI*VARF*ZRATI)**2 ENDIF FGZB=(EI*EF+VALI*VARF*ZRATR)**2+(VALI*VARF*ZRATI)**2+ & (EI*EF+VARI*VALF*ZRATR)**2+(VARI*VALF*ZRATI)**2 FGZAB=AEM**2*(FGZA*UH2/SH2+FGZB*TH2/SH2) IF((MSTP(5).EQ.3.AND.IABS(I).EQ.2).OR.(MSTP(5).EQ.4.AND. & MOD(IABS(I),2).EQ.0)) FGZAB=FGZAB+SH2/(2.*PARU(155)**4) NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=COMFAC*FCOI*FCOF*FGZAB*WID2 1490 CONTINUE ELSEIF(ISUB.EQ.166) THEN C...q + q'~ -> l + nu_l (including contact term for compositeness). WFAC=(1./4.)*(AEM/XW)**2*UH2/((SH-SQMW)**2+SQMW*PMAS(24,2)**2) WCIFAC=WFAC+SH2/(4.*PARU(155)**4) KFF=IABS(KFPR(ISUB,1)) FCOF=1. IF(KFF.LE.10) FCOF=3. DO 1510 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1510 IA=IABS(I) DO 1500 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1500 JA=IABS(J) IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 1500 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 1500 FCOI=1. IF(IA.LE.10) FCOI=VCKM((IA+1)/2,(JA+1)/2)*FACA/3. WID2=1. IF((I.GT.0.AND.MOD(I,2).EQ.0).OR.(J.GT.0.AND.MOD(J,2).EQ.0)) & THEN IF(KFF.EQ.5.AND.MSTP(48).GE.1) WID2=WIDS(26,2) IF(KFF.EQ.7.AND.MSTP(49).GE.1) WID2=WIDS(28,2)*WIDS(27,3) IF(KFF.EQ.17.AND.MSTP(49).GE.1) WID2=WIDS(30,2)*WIDS(29,3) ELSE IF(KFF.EQ.5.AND.MSTP(48).GE.1) WID2=WIDS(26,3) IF(KFF.EQ.7.AND.MSTP(49).GE.1) WID2=WIDS(28,3)*WIDS(27,2) IF(KFF.EQ.17.AND.MSTP(49).GE.1) WID2=WIDS(30,3)*WIDS(29,2) ENDIF NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=COMFAC*FCOI*FCOF*WFAC*WID2 IF((MSTP(5).EQ.3.AND.IA.LE.2.AND.JA.LE.2).OR.MSTP(5).EQ.4) & SIGH(NCHN)=COMFAC*FCOI*FCOF*WCIFAC*WID2 1500 CONTINUE 1510 CONTINUE ENDIF ENDIF C...Multiply with structure functions. IF(ISUB.LE.90.OR.ISUB.GE.96) THEN DO 1520 ICHN=1,NCHN IF(MINT(45).GE.2) THEN KFL1=ISIG(ICHN,1) SIGH(ICHN)=SIGH(ICHN)*XSFX(1,KFL1) ENDIF IF(MINT(46).GE.2) THEN KFL2=ISIG(ICHN,2) SIGH(ICHN)=SIGH(ICHN)*XSFX(2,KFL2) ENDIF SIGS=SIGS+SIGH(ICHN) 1520 CONTINUE ENDIF RETURN END C********************************************************************* SUBROUTINE PYSTFU(KF,X,Q2,XPQ) C...Gives electron, photon, pi+, neutron, proton and hyperon C...structure functions according to a few different parametrizations. C...Note that what is coded is x times the probability distribution, C...i.e. xq(x,Q2) etc. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPQ(-25:25),XPEL(-25:25),XPGA(-6:6),XPPI(-6:6), &XPPR(-6:6) C...Interface to PDFLIB. COMMON/W50513/XMIN,XMAX,Q2MIN,Q2MAX SAVE /W50513/ DOUBLE PRECISION XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU, &VALUE(20),XMIN,XMAX,Q2MIN,Q2MAX CHARACTER*20 PARM(20) DATA VALUE/20*0D0/,PARM/20*' '/ C...Reset structure functions. MINT(92)=0 DO 100 KFL=-25,25 XPQ(KFL)=0. 100 CONTINUE C...Check x and particle species. IF(X.LE.0..OR.X.GE.1.) THEN WRITE(MSTU(11),5000) X RETURN ENDIF KFA=IABS(KF) IF(KFA.NE.11.AND.KFA.NE.22.AND.KFA.NE.211.AND.KFA.NE.2112.AND. &KFA.NE.2212.AND.KFA.NE.3122.AND.KFA.NE.3112.AND.KFA.NE.3212. &AND.KFA.NE.3222.AND.KFA.NE.3312.AND.KFA.NE.3322.AND. &KFA.NE.3334.AND.KFA.NE.111) THEN WRITE(MSTU(11),5100) KF RETURN ENDIF C...Electron structure function call. IF(KFA.EQ.11) THEN LIBSF=MSTP(56) CALL PYSTEL(X,Q2,XPEL) DO 110 KFL=-25,25 XPQ(KFL)=XPEL(KFL) 110 CONTINUE C...Photon structure function call (VDM+anomalous). ELSEIF(KFA.EQ.22.AND.MSTP(14).LE.1) THEN LIBSF=MSTP(56) IF(MSTP(56).EQ.1.AND.MSTP(55).EQ.1) THEN CALL PYSTGA(X,Q2,XPGA) DO 120 KFL=-6,6 XPQ(KFL)=XPGA(KFL) 120 CONTINUE ELSEIF(MSTP(56).EQ.2) THEN C...Call PFDLIB structure functions. PARM(1)='NPTYPE' VALUE(1)=3 PARM(2)='NGROUP' VALUE(2)=MSTP(55)/1000 PARM(3)='NSET' VALUE(3)=MOD(MSTP(55),1000) PARM(4)='TMAS' VALUE(4)=PMAS(6,1) XX=X QQ=SQRT(MAX(0.,Q2)) CALL PDFSET(PARM,VALUE) IF(MSTP(57).EQ.0) QQ=SQRT(Q2MIN) CALL STRUCTM(XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU) VINT(231)=Q2MIN XPQ(0)=GLU XPQ(1)=DNV XPQ(-1)=DNV XPQ(2)=UPV XPQ(-2)=UPV XPQ(3)=STR XPQ(-3)=STR XPQ(4)=CHM XPQ(-4)=CHM XPQ(5)=BOT XPQ(-5)=BOT XPQ(6)=TOP XPQ(-6)=TOP ELSE WRITE(MSTU(11),5200) KF,MSTP(56),MSTP(55) ENDIF C...Pion/gammaVDM structure function call. ELSEIF(KFA.EQ.211.OR.KFA.EQ.111.OR.(KFA.EQ.22.AND. &MSTP(14).EQ.2)) THEN LIBSF=MSTP(54) IF(MSTP(54).EQ.1.AND.MSTP(53).GE.1.AND.MSTP(53).LE.2) THEN CALL PYSTPI(X,Q2,XPPI) DO 130 KFL=-6,6 XPQ(KFL)=XPPI(KFL) 130 CONTINUE ELSEIF(MSTP(54).EQ.2) THEN C...Call PFDLIB structure functions. PARM(1)='NPTYPE' VALUE(1)=2 PARM(2)='NGROUP' VALUE(2)=MSTP(53)/1000 PARM(3)='NSET' VALUE(3)=MOD(MSTP(53),1000) PARM(4)='TMAS' VALUE(4)=PMAS(6,1) XX=X QQ=SQRT(MAX(0.,Q2)) CALL PDFSET(PARM,VALUE) IF(MSTP(57).EQ.0) QQ=SQRT(Q2MIN) CALL STRUCTM(XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU) VINT(231)=Q2MIN XPQ(0)=GLU XPQ(1)=DSEA XPQ(-1)=UPV+DSEA XPQ(2)=UPV+USEA XPQ(-2)=USEA XPQ(3)=STR XPQ(-3)=STR XPQ(4)=CHM XPQ(-4)=CHM XPQ(5)=BOT XPQ(-5)=BOT XPQ(6)=TOP XPQ(-6)=TOP ELSE WRITE(MSTU(11),5200) KF,MSTP(54),MSTP(53) ENDIF C...Anomalous photon structure function call. ELSEIF(KFA.EQ.22.AND.MSTP(14).EQ.3) THEN CALL PYSTAG(X,Q2,XPGA) DO 140 KFL=-6,6 XPQ(KFL)=XPGA(KFL) 140 CONTINUE C...Proton structure function call. ELSE LIBSF=MSTP(52) IF(MSTP(52).EQ.1.AND.MSTP(51).GE.1.AND.MSTP(51).LE.10) THEN CALL PYSTPR(X,Q2,XPPR) DO 150 KFL=-6,6 XPQ(KFL)=XPPR(KFL) 150 CONTINUE ELSEIF(MSTP(52).EQ.2) THEN C...Call PFDLIB structure functions. PARM(1)='NPTYPE' VALUE(1)=1 PARM(2)='NGROUP' VALUE(2)=MSTP(51)/1000 PARM(3)='NSET' VALUE(3)=MOD(MSTP(51),1000) PARM(4)='TMAS' VALUE(4)=PMAS(6,1) XX=X QQ=SQRT(MAX(0.,Q2)) CALL PDFSET(PARM,VALUE) IF(MSTP(57).EQ.0) QQ=SQRT(Q2MIN) CALL STRUCTM(XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU) VINT(231)=Q2MIN XPQ(0)=GLU XPQ(1)=DNV+DSEA XPQ(-1)=DSEA XPQ(2)=UPV+USEA XPQ(-2)=USEA XPQ(3)=STR XPQ(-3)=STR XPQ(4)=CHM XPQ(-4)=CHM XPQ(5)=BOT XPQ(-5)=BOT XPQ(6)=TOP XPQ(-6)=TOP ELSE WRITE(MSTU(11),5200) KF,MSTP(52),MSTP(51) ENDIF ENDIF C...Isospin average for pi0/gammaVDM. IF(KFA.EQ.111.OR.(KFA.EQ.22.AND.MSTP(14).EQ.2)) THEN IF(KFA.EQ.22.AND.(MINT(103).EQ.333.OR.MINT(104).EQ.333)) THEN XPS=0.5*(XPQ(1)+XPQ(-2)) XPV=0.5*(XPQ(2)+XPQ(-1))-XPS XPQ(2)=XPS XPQ(-1)=XPS XPQ(3)=XPQ(3)+XPV XPQ(-3)=XPQ(-3)+XPV ELSEIF(KFA.EQ.22.AND.(MINT(103).EQ.443.OR.MINT(104).EQ.443)) & THEN XPS=0.5*(XPQ(1)+XPQ(-2)) XPV=0.5*(XPQ(2)+XPQ(-1))-XPS XPQ(2)=XPS XPQ(-1)=XPS XPQ(4)=XPQ(4)+XPV XPQ(-4)=XPQ(-4)+XPV ELSE XPS=(XPQ(1)+XPQ(2)+XPQ(-1)+XPQ(-2))/4. XPQ(1)=XPS XPQ(2)=XPS XPQ(-1)=XPS XPQ(-2)=XPS ENDIF C...Rescale for gammaVDM by effective gamma -> rho coupling. IF(KFA.EQ.22.AND.MSTP(14).EQ.2) THEN DO 160 KFL=-6,6 XPQ(KFL)=VINT(281)*XPQ(KFL) 160 CONTINUE ENDIF C...Isospin conjugation for neutron. ELSEIF(KFA.EQ.2112) THEN XPS=XPQ(1) XPQ(1)=XPQ(2) XPQ(2)=XPS XPS=XPQ(-1) XPQ(-1)=XPQ(-2) XPQ(-2)=XPS C...Simple recipes for hyperon (average valence structure function). ELSEIF(KFA.EQ.3122.OR.KFA.EQ.3112.OR.KFA.EQ.3212.OR.KFA.EQ.3222. &OR.KFA.EQ.3312.OR.KFA.EQ.3322.OR.KFA.EQ.3334) THEN XPVAL=(XPQ(1)+XPQ(2)-XPQ(-1)-XPQ(-2))/3. XPSEA=0.5*(XPQ(-1)+XPQ(-2)) XPQ(1)=XPSEA XPQ(2)=XPSEA XPQ(-1)=XPSEA XPQ(-2)=XPSEA XPQ(KFA/1000)=XPQ(KFA/1000)+XPVAL XPQ(MOD(KFA/100,10))=XPQ(MOD(KFA/100,10))+XPVAL XPQ(MOD(KFA/10,10))=XPQ(MOD(KFA/10,10))+XPVAL ENDIF C...Charge conjugation for antiparticle. IF(KF.LT.0) THEN DO 170 KFL=1,25 IF(KFL.EQ.21.OR.KFL.EQ.22.OR.KFL.EQ.23.OR.KFL.EQ.25) GOTO 170 XPS=XPQ(KFL) XPQ(KFL)=XPQ(-KFL) XPQ(-KFL)=XPS 170 CONTINUE ENDIF C...Allow gluon also in position 21. XPQ(21)=XPQ(0) C...Check positivity and reset above maximum allowed flavour. DO 180 KFL=-25,25 XPQ(KFL)=MAX(0.,XPQ(KFL)) IF(IABS(KFL).GT.MSTP(58).AND.IABS(KFL).LE.8) XPQ(KFL)=0. 180 CONTINUE C...Formats for error printouts. 5000 FORMAT(' Error: x value outside physical range; x =',1P,E12.3) 5100 FORMAT(' Error: illegal particle code for structure function;', &' KF =',I5) 5200 FORMAT(' Error: unknown structure function; KF, library, set =', &3I5) RETURN END C********************************************************************* SUBROUTINE PYSTFL(KF,X,Q2,XPQ) C...Give proton structure function at small x and/or Q^2 according to C...correct limiting behaviour. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPQ(-25:25),XPA(-25:25),XPB(-25:25),WTSB(-3:3) DATA RMR/0.92/,RMP/0.38/,WTSB/0.5,1.,1.,5.,1.,1.,0.5/ C...Send everything but protons/neutrons directly to PYSTFU. MINT(92)=0 KFA=IABS(KF) IACC=0 IF((KFA.EQ.2212.OR.KFA.EQ.2112).AND.MSTP(52).NE.3) IACC=1 IF(MSTP(57).NE.2) IACC=0 IF(IACC.EQ.0) THEN CALL PYSTFU(KF,X,Q2,XPQ) RETURN ENDIF C...Reset. Check x. DO 100 KFL=-25,25 XPQ(KFL)=0. 100 CONTINUE IF(X.LE.0..OR.X.GE.1.) THEN WRITE(MSTU(11),5000) X RETURN ENDIF C...Define valence content. NV1=2 NV2=1 IF(KF.EQ.2212) THEN KFV1=2 KFV2=1 ELSEIF(KF.EQ.-2212) THEN KFV1=-2 KFV2=-1 ELSEIF(KF.EQ.2112) THEN KFV1=1 KFV2=2 ELSE KFV1=-1 KFV2=-2 ENDIF C...Do naive evaluation and find min Q^2, boundary Q^2 and x_0. CALL PYSTFU(KF,X,Q2,XPA) Q2MN=MAX(3.,VINT(231)) Q2B=2.+0.052**2*EXP(3.56*SQRT(MAX(0.,-LOG(3.*X)))) XMN=EXP(-(LOG((Q2MN-2.)/0.052**2)/3.56)**2)/3. C...Large Q2 and large x: naive call is enough. IF(Q2.GT.Q2MN.AND.Q2.GT.Q2B) THEN MINT(92)=1 DO 110 KFL=-25,25 XPQ(KFL)=XPA(KFL) 110 CONTINUE C...Small Q2 and large x: dampen boundary value. ELSEIF(X.GT.XMN) THEN MINT(92)=2 C...Evaluate at boundary and define dampening factors. CALL PYSTFU(KF,X,Q2MN,XPA) FV=(Q2*(Q2MN+RMR)/(Q2MN*(Q2+RMR)))**(0.55*(1.-X)/(1.-XMN)) FS=(Q2*(Q2MN+RMP)/(Q2MN*(Q2+RMP)))**1.08 C...Separate valence and sea parts of structure function. XFV1=XPA(KFV1)-XPA(-KFV1) XPA(KFV1)=XPA(-KFV1) XFV2=XPA(KFV2)-XPA(-KFV2) XPA(KFV2)=XPA(-KFV2) C...Dampen valence and sea separately. Put back together. DO 120 KFL=-25,25 XPQ(KFL)=FS*XPA(KFL) 120 CONTINUE XPQ(KFV1)=XPQ(KFV1)+FV*XFV1 XPQ(KFV2)=XPQ(KFV2)+FV*XFV2 C...Large Q2 and small x: interpolate behaviour. ELSEIF(Q2.GT.Q2MN) THEN MINT(92)=3 C...Evaluate at extremes and define coefficients for interpolation. CALL PYSTFU(KF,XMN,Q2MN,XPA) CALL PYSTFU(KF,X,Q2B,XPB) FLA=LOG(Q2B/Q2)/LOG(Q2B/Q2MN) FVA=(X/XMN)**0.45*FLA FSA=(X/XMN)**(-0.08)*FLA FB=1.-FLA C...Separate valence and sea parts of structure function. XFVA1=XPA(KFV1)-XPA(-KFV1) XPA(KFV1)=XPA(-KFV1) XFVA2=XPA(KFV2)-XPA(-KFV2) XPA(KFV2)=XPA(-KFV2) XFVB1=XPB(KFV1)-XPB(-KFV1) XPB(KFV1)=XPB(-KFV1) XFVB2=XPB(KFV2)-XPB(-KFV2) XPB(KFV2)=XPB(-KFV2) C...Interpolate for valence and sea. Put back together. DO 130 KFL=-25,25 XPQ(KFL)=FSA*XPA(KFL)+FB*XPB(KFL) 130 CONTINUE XPQ(KFV1)=XPQ(KFV1)+(FVA*XFVA1+FB*XFVB1) XPQ(KFV2)=XPQ(KFV2)+(FVA*XFVA2+FB*XFVB2) C...Small Q2 and small x: dampen boundary value and add term. ELSE MINT(92)=4 C...Evaluate at boundary and define dampening factors. CALL PYSTFU(KF,XMN,Q2MN,XPA) FB=(XMN-X)*(Q2MN-Q2)/(XMN*Q2MN) FA=1.-FB FVC=(X/XMN)**0.45*(Q2/(Q2+RMR))**0.55 FVA=FVC*FA*((Q2MN+RMR)/Q2MN)**0.55 FVB=FVC*FB*1.10*XMN**0.45*0.11 FSC=(X/XMN)**(-0.08)*(Q2/(Q2+RMP))**1.08 FSA=FSC*FA*((Q2MN+RMP)/Q2MN)**1.08 FSB=FSC*FB*0.21*XMN**(-0.08)*0.21 C...Separate valence and sea parts of structure function. XFV1=XPA(KFV1)-XPA(-KFV1) XPA(KFV1)=XPA(-KFV1) XFV2=XPA(KFV2)-XPA(-KFV2) XPA(KFV2)=XPA(-KFV2) C...Dampen valence and sea separately. Add constant terms. C...Put back together. DO 140 KFL=-25,25 XPQ(KFL)=FSA*XPA(KFL) 140 CONTINUE DO 150 KFL=-3,3 XPQ(KFL)=XPQ(KFL)+FSB*WTSB(KFL) 150 CONTINUE XPQ(21)=XPQ(0) XPQ(KFV1)=XPQ(KFV1)+(FVA*XFV1+FVB*NV1) XPQ(KFV2)=XPQ(KFV2)+(FVA*XFV2+FVB*NV2) ENDIF C...Format for error printout. 5000 FORMAT(' Error: x value outside physical range; x =',1P,E12.3) RETURN END C********************************************************************* SUBROUTINE PYSTEL(X,Q2,XPEL) C...Gives electron structure function. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPEL(-25:25),XPGA(-6:6),SXP(0:6) C...Interface to PDFLIB. COMMON/W50513/XMIN,XMAX,Q2MIN,Q2MAX SAVE /W50513/ DOUBLE PRECISION XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU, &VALUE(20),XMIN,XMAX,Q2MIN,Q2MAX CHARACTER*20 PARM(20) DATA VALUE/20*0D0/,PARM/20*' '/ C...Some common constants. DO 100 KFL=-25,25 XPEL(KFL)=0. 100 CONTINUE AEM=PARU(101) PME=PMAS(11,1) XL=LOG(MAX(1E-10,X)) X1L=LOG(MAX(1E-10,1.-X)) HLE=LOG(MAX(3.,Q2/PME**2)) HBE=(2.*AEM/PARU(1))*(HLE-1.) C...Electron inside electron, see R. Kleiss et al., in Z physics at C...LEP 1, CERN 89-08, p. 34 HDE=1.+(AEM/PARU(1))*(1.5*HLE+1.289868)+(AEM/PARU(1))**2* &(-2.164868*HLE**2+9.840808*HLE-10.130464) HEE=0.5*HBE*(1.-X)**(0.5*HBE-1.)*SQRT(MAX(0.,HDE))- &0.25*HBE*(1.+X)+HBE**2/32.*((1.+X)*(-4.*X1L+3.*XL)- &4.*XL/(1.-X)-5.-X) IF(X.GT.0.9999.AND.X.LE.0.999999) THEN HEE=HEE*10.**HBE/(10.**HBE-1.) ELSEIF(X.GT.0.999999) THEN HEE=0. ENDIF XPEL(11)=X*HEE C...Photon and (transverse) W- inside electron. AEMP=ULALEM(PME*SQRT(MAX(0.,Q2)))/PARU(2) IF(MSTP(13).LE.1) THEN HLG=HLE ELSE HLG=LOG(MAX(1.,(PARP(13)/PME**2)*(1.-X)/X**2)) ENDIF XPEL(22)=AEMP*HLG*(1.+(1.-X)**2) HLW=LOG(1.+Q2/PMAS(24,1)**2)/(4.*PARU(102)) XPEL(-24)=AEMP*HLW*(1.+(1.-X)**2) C...Electron or positron inside photon inside electron. IF(MSTP(12).EQ.1) THEN XFSEA=0.5*(AEMP*(HLE-1.))**2*(4./3.+X-X**2-4.*X**3/3.+ & 2.*X*(1.+X)*XL) XPEL(11)=XPEL(11)+XFSEA XPEL(-11)=XFSEA C...Initialize PFDLIB photon structure functions. IF(MSTP(56).EQ.2) THEN PARM(1)='NPTYPE' VALUE(1)=3 PARM(2)='NGROUP' VALUE(2)=MSTP(55)/1000 PARM(3)='NSET' VALUE(3)=MOD(MSTP(55),1000) PARM(4)='TMAS' VALUE(4)=PMAS(6,1) CALL PDFSET(PARM,VALUE) ENDIF C...Quarks and gluons inside photon inside electron: C...numerical convolution required. DO 110 KFL=0,6 SXP(KFL)=0. 110 CONTINUE SUMXPP=0. ITER=-1 120 ITER=ITER+1 SUMXP=SUMXPP NSTP=2**(ITER-1) IF(ITER.EQ.0) NSTP=2 DO 130 KFL=0,6 SXP(KFL)=0.5*SXP(KFL) 130 CONTINUE WTSTP=0.5/NSTP IF(ITER.EQ.0) WTSTP=0.5 C...Pick grid of x_{gamma} values logarithmically even. DO 150 ISTP=1,NSTP IF(ITER.EQ.0) THEN XLE=XL*(ISTP-1) ELSE XLE=XL*(ISTP-0.5)/NSTP ENDIF XE=MIN(0.999999,EXP(XLE)) XG=MIN(0.999999,X/XE) C...Evaluate photon inside electron structure function for convolution. XPGP=1.+(1.-XE)**2 IF(MSTP(13).LE.1) THEN XPGP=XPGP*HLE ELSE XPGP=XPGP*LOG(MAX(1.,(PARP(13)/PME**2)*(1.-XE)/XE**2)) ENDIF C...Evaluate photon structure functions for convolution. IF(MSTP(56).EQ.1) THEN CALL PYSTGA(XG,Q2,XPGA) DO 140 KFL=0,5 SXP(KFL)=SXP(KFL)+WTSTP*XPGP*XPGA(KFL) 140 CONTINUE ELSEIF(MSTP(56).EQ.2) THEN C...Call PFDLIB structure functions. XX=XG QQ=SQRT(MAX(0.,Q2)) IF(MSTP(57).EQ.0) QQ=SQRT(Q2MIN) CALL STRUCTM(XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU) SXP(0)=SXP(0)+WTSTP*XPGP*GLU SXP(1)=SXP(1)+WTSTP*XPGP*DNV SXP(2)=SXP(2)+WTSTP*XPGP*UPV SXP(3)=SXP(3)+WTSTP*XPGP*STR SXP(4)=SXP(4)+WTSTP*XPGP*CHM SXP(5)=SXP(5)+WTSTP*XPGP*BOT SXP(6)=SXP(6)+WTSTP*XPGP*TOP ENDIF 150 CONTINUE SUMXPP=SXP(0)+2.*SXP(1)+2.*SXP(2) IF(ITER.LE.2.OR.(ITER.LE.7.AND.ABS(SUMXPP-SUMXP).GT. & PARP(14)*(SUMXPP+SUMXP))) GOTO 120 C...Put convolution into output arrays. FCONV=AEMP*(-XL) XPEL(0)=FCONV*SXP(0) DO 160 KFL=1,6 XPEL(KFL)=FCONV*SXP(KFL) XPEL(-KFL)=XPEL(KFL) 160 CONTINUE ENDIF RETURN END C********************************************************************* SUBROUTINE PYSTGA(X,Q2,XPGA) C...Gives photon structure function. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPGA(-6:6),DGAG(4,3),DGBG(4,3),DGCG(4,3),DGAN(4,3), &DGBN(4,3),DGCN(4,3),DGDN(4,3),DGEN(4,3),DGAS(4,3),DGBS(4,3), &DGCS(4,3),DGDS(4,3),DGES(4,3) C...The following data lines are coefficients needed in the C...Drees and Grassie photon structure function parametrization. DATA DGAG/-.207E0,.6158E0,1.074E0,0.E0,.8926E-2,.6594E0, &.4766E0,.1975E-1,.03197E0,1.018E0,.2461E0,.2707E-1/ DATA DGBG/-.1987E0,.6257E0,8.352E0,5.024E0,.5085E-1,.2774E0, &-.3906E0,-.3212E0,-.618E-2,.9476E0,-.6094E0,-.1067E-1/ DATA DGCG/5.119E0,-.2752E0,-6.993E0,2.298E0,-.2313E0,.1382E0, &6.542E0,.5162E0,-.1216E0,.9047E0,2.653E0,.2003E-2/ DATA DGAN/2.285E0,-.1526E-1,1330.E0,4.219E0,-.3711E0,1.061E0, &4.758E0,-.1503E-1,15.8E0,-.9464E0,-.5E0,-.2118E0/ DATA DGBN/6.073E0,-.8132E0,-41.31E0,3.165E0,-.1717E0,.7815E0, &1.535E0,.7067E-2,2.742E0,-.7332E0,.7148E0,3.287E0/ DATA DGCN/-.4202E0,.1778E-1,.9216E0,.18E0,.8766E-1,.2197E-1, &.1096E0,.204E0,.2917E-1,.4657E-1,.1785E0,.4811E-1/ DATA DGDN/-.8083E-1,.6346E0,1.208E0,.203E0,-.8915E0,.2857E0, &2.973E0,.1185E0,-.342E-1,.7196E0,.7338E0,.8139E-1/ DATA DGEN/.5526E-1,1.136E0,.9512E0,.1163E-1,-.1816E0,.5866E0, &2.421E0,.4059E0,-.2302E-1,.9229E0,.5873E0,-.79E-4/ DATA DGAS/16.69E0,-.7916E0,1099.E0,4.428E0,-.1207E0,1.071E0, &1.977E0,-.8625E-2,6.734E0,-1.008E0,-.8594E-1,.7625E-1/ DATA DGBS/.176E0,.4794E-1,1.047E0,.25E-1,25.E0,-1.648E0, &-.1563E-1,6.438E0,59.88E0,-2.983E0,4.48E0,.9686E0/ DATA DGCS/-.208E-1,.3386E-2,4.853E0,.8404E0,-.123E-1,1.162E0, &.4824E0,-.11E-1,-.3226E-2,.8432E0,.3616E0,.1383E-2/ DATA DGDS/-.1685E-1,1.353E0,1.426E0,1.239E0,-.9194E-1,.7912E0, &.6397E0,2.327E0,-.3321E-1,.9475E0,-.3198E0,.2132E-1/ DATA DGES/-.1986E0,1.1E0,1.136E0,-.2779E0,.2015E-1,.9869E0, &-.7036E-1,.1694E-1,.1059E0,.6954E0,-.6663E0,.3683E0/ C...Photon structure function from Drees and Grassie. C...Allowed variable range: 1 GeV^2 < Q^2 < 10000 GeV^2. DO 100 KFL=-6,6 XPGA(KFL)=0. 100 CONTINUE VINT(231)=1. IF(MSTP(57).LE.0) THEN T=LOG(1./0.16) ELSE T=LOG(MIN(1E4,MAX(1.,Q2))/0.16) ENDIF X1=1.-X NF=3 IF(Q2.GT.25.) NF=4 IF(Q2.GT.300.) NF=5 NFE=NF-2 AEM=PARU(101) C...Evaluate gluon content. DGA=DGAG(1,NFE)*T**DGAG(2,NFE)+DGAG(3,NFE)*T**(-DGAG(4,NFE)) DGB=DGBG(1,NFE)*T**DGBG(2,NFE)+DGBG(3,NFE)*T**(-DGBG(4,NFE)) DGC=DGCG(1,NFE)*T**DGCG(2,NFE)+DGCG(3,NFE)*T**(-DGCG(4,NFE)) XPGL=DGA*X**DGB*X1**DGC C...Evaluate up- and down-type quark content. DGA=DGAN(1,NFE)*T**DGAN(2,NFE)+DGAN(3,NFE)*T**(-DGAN(4,NFE)) DGB=DGBN(1,NFE)*T**DGBN(2,NFE)+DGBN(3,NFE)*T**(-DGBN(4,NFE)) DGC=DGCN(1,NFE)*T**DGCN(2,NFE)+DGCN(3,NFE)*T**(-DGCN(4,NFE)) DGD=DGDN(1,NFE)*T**DGDN(2,NFE)+DGDN(3,NFE)*T**(-DGDN(4,NFE)) DGE=DGEN(1,NFE)*T**DGEN(2,NFE)+DGEN(3,NFE)*T**(-DGEN(4,NFE)) XPQN=X*(X**2+X1**2)/(DGA-DGB*LOG(X1))+DGC*X**DGD*X1**DGE DGA=DGAS(1,NFE)*T**DGAS(2,NFE)+DGAS(3,NFE)*T**(-DGAS(4,NFE)) DGB=DGBS(1,NFE)*T**DGBS(2,NFE)+DGBS(3,NFE)*T**(-DGBS(4,NFE)) DGC=DGCS(1,NFE)*T**DGCS(2,NFE)+DGCS(3,NFE)*T**(-DGCS(4,NFE)) DGD=DGDS(1,NFE)*T**DGDS(2,NFE)+DGDS(3,NFE)*T**(-DGDS(4,NFE)) DGE=DGES(1,NFE)*T**DGES(2,NFE)+DGES(3,NFE)*T**(-DGES(4,NFE)) DGF=9. IF(NF.EQ.4) DGF=10. IF(NF.EQ.5) DGF=55./6. XPQS=DGF*X*(X**2+X1**2)/(DGA-DGB*LOG(X1))+DGC*X**DGD*X1**DGE IF(NF.LE.3) THEN XPQU=(XPQS+9.*XPQN)/6. XPQD=(XPQS-4.5*XPQN)/6. ELSEIF(NF.EQ.4) THEN XPQU=(XPQS+6.*XPQN)/8. XPQD=(XPQS-6.*XPQN)/8. ELSE XPQU=(XPQS+7.5*XPQN)/10. XPQD=(XPQS-5.*XPQN)/10. ENDIF C...Put into output arrays. XPGA(0)=AEM*XPGL XPGA(1)=AEM*XPQD XPGA(2)=AEM*XPQU XPGA(3)=AEM*XPQD IF(NF.GE.4) XPGA(4)=AEM*XPQU IF(NF.GE.5) XPGA(5)=AEM*XPQD DO 110 KFL=1,6 XPGA(-KFL)=XPGA(KFL) 110 CONTINUE RETURN END C********************************************************************* SUBROUTINE PYSTAG(X,Q2,XPGA) C...Gives anomalous part of photon structure function. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPGA(-6:6) DOUBLE PRECISION XX,QQ,PP,ALL,PDFF(-2:6) C...Input and call to Schuler routine. XX=X QQ=Q2 PP=PARP(15)**2 ALL=PARP(1) NF=3 IF(Q2.GT.PARP(16)*PMAS(4,1)**2) NF=4 IF(Q2.GT.PARP(16)*PMAS(5,1)**2) NF=5 CALL PYSTGS(XX,QQ,PP,ALL,NF,PDFF) C...Output: u and d in right order; threshold suppression. XPGA(0)=X*PDFF(0) XPGA(1)=X*PDFF(2) XPGA(2)=X*PDFF(1) XPGA(3)=X*PDFF(3) XPGA(4)=X*PDFF(4)*MAX(0.,1.-PARP(16)*PMAS(4,1)**2/Q2) XPGA(5)=X*PDFF(5)*MAX(0.,1.-PARP(16)*PMAS(5,1)**2/Q2) XPGA(6)=0. DO 100 KFL=1,6 XPGA(-KFL)=XPGA(KFL) 100 CONTINUE RETURN END C********************************************************************* C Parametrization of parton distributions in a virtual photon C Author: Gerhard A. Schuler, CERN-Th C 13 August 1992 C...DDILOG calls replaced by PYDILN ones to make program C...self-contained. (TS 30 September 1992) C SUBROUTINE PYSTGS(X,Q2,P2,ALAM,NF,PDFUNC) C C X : Bjorken-x C Q2 : deep inelastic scale (e.g. scale of probing photon) C P2 : Scale of probed photon C ALAM : Lambda_QCD in leading order C NF : number of massless flavours C PDFUNC : number densities ordered according to C Sigma Delta G u d s c b t C where Sigma and Delta are define as in CERN-6519/92 C Note : antiquark densities = quark densities C Validity range: C Lambda^2 <= P^2 <= Q^2 C 1 <= Nf <= 6 C IMPLICIT NONE DOUBLE PRECISION X,Q2,P2,ALAM,PDFUNC(-2:6) INTEGER NF C DOUBLE PRECISION AL2PI,AVCHSQ(1:6),CHARSQ(1:6),ALAM2,ACHAR2 >,FACTOR,CSINGL,AVCHQU(1:6),ACHAR4,CNONSG >,gsum,ssum,dsum,t2,t3,t4,t5,t8,t9,t11,t14,t17,t19 >,t20,t21,t27,t28,t29,t31,t34,t35,t42,t43,t54,t67,t68 >,t76,t78,t79,t80,t97,t105,t111 >,Pi,epsi,ANF,PYDILN C Li2(x) = DDILOG(x) from GENLIB C304; replaced by PYDILN. INTEGER ILOOP DATA AL2PI/1.161714913D-3/ DATA Pi/3.14159D0/ C sum_f e_f^2 DATA AVCHSQ/0.4444444444D0,0.5555555556D0,0.6666666667D0, > 1.111111111D0, 1.222222222D0, 1.666666667D0/ C e_f^2, f=u,d,s,c,b,t DATA CHARSQ/0.4444444444D0,0.1111111111D0,0.1111111111D0, > 0.4444444444D0,0.1111111111D0,0.4444444444D0/ C sum_f e_f^4 DATA AVCHQU/0.1975308642D0,0.2098765432D0,0.2222222222D0, > 0.4197530864D0,0.4320987654D0,0.6296296296D0/ C ALAM2 = ALAM*ALAM C error handlings IF(NF.LT.1.OR.NF.GT.6) GOTO 110 IF( X.LT.0.OR. X.GT.1) GOTO 120 IF(P2.LT.ALAM2.OR.P2.GT.Q2) GOTO 130 IF( X.GE.0.9999D0) GOTO 140 C ACHAR2 = AVCHSQ(NF)/DBLE(NF) C ACHAR4 = AVCHQU(NF)/DBLE(NF) C alpha_{em}/(2 Pi) s FACTOR = AL2PI*DLOG(Q2/P2) EPSI = DLOG(Q2/P2)/DLOG(Q2/ALAM2) ANF = DBLE(NF) C singlet and non-singlet factors C_S and C_{NS} CSINGL = 6D0*DBLE(NF)*ACHAR2 CNONSG = 6D0*DBLE(NF)*(ACHAR4 - ACHAR2*ACHAR2) C t2 = 11D0-2D0/3D0*ANF t3 = 1D0/t2 t4 = 1D0+x t5 = dlog(x) t8 = -x t9 = 1D0/x t11 = x**2 t14 = t3*(2D0*t4*t5+1D0+t8+4D0/3D0*t9-4D0/3D0*t11) t17 = epsi**2 t19 = t2**2 t20 = 1D0/t19 t21 = 2D0*x t27 = 1D0+t8 t28 = dlog(t27) t29 = t5*t28 t31 = 4D0*t4*t29 t35 = t5**2 C t34 = -4D0*t4*dilog(t9) C use dilog(1/x) = -dilog(x)-ln(x)^2/2 = -Li2(1-x)-ln(x)^2/2 t34 = -4D0*t4*(-PYDILN(1D0-x) - t35/2D0) t42 = t28*(2D0-2D0*x+8D0/3D0*t9-8D0/3D0*t11) t43 = -ANF/9D0 t54 = 8D0/3D0*t11 t67 = t27**2 t68 = t11+t67 t76 = t3*(t68*(2D0*t28-t5)-2D0*t11*t5+t21-1D0/2D0) t78 = 4D0/3D0*epsi*t76 t79 = 8D0/3D0*t76 t80 = t28**2 t97 = Pi**2 C t111 = PYDILN(x) C t111 = dilog(t27) = dilog(1-x) = Li2(x) t105 = 64D0/9D0*t20*(t68*(4D0*t80-4D0*t29+t35/2D0) C > +8D0*t11*dilog(t27)+3D0*t11*t35-3D0*x*t5+(8D0*x-2D0)*t28 > +8D0*t11*t111 +3D0*t11*t35-3D0*x*t5+(8D0*x-2D0)*t28 > -x/2D0+11D0/4D0-t97*(6D0*t11+2D0*t67)/3D0) C feld(1) = 4D0/3D0*epsi*t14+t17*(8D0/3D0*t14 gsum = 4D0/3D0*epsi*t14+t17*(8D0/3D0*t14 > +16D0*t20*(t5*(t21-8D0/3D0*t9+t2*t4/3D0)+t31+t34-6D0*x*t35 > +t42+t27*(41D0/2D0+t43)+4D0/3D0*(t9-t11)*(-11D0/2D0+t43)) > +64D0/9D0*t20*(t5*(t21+t54)+t31+t34-3D0*t4*t35+t42 > -23D0/6D0+23D0/6D0*x))/6D0 C feld(2) = t11+t67+t78+t17*(t79+t105)/6D0 dsum = t11+t67+t78+t17*(t79+t105)/6D0 C feld(3) = t11+t67+t78+t17*(t79+t105+16D0/3D0*t20*ANF* ssum = t11+t67+t78+t17*(t79+t105+16D0/3D0*t20*ANF* > ((t21-1D0)*t35+(t54-3D0)*t5+8D0/9D0*t9 > -9D0+15D0*x-62D0/9D0*t11))/6D0 C PDFUNC(-2) = FACTOR*ssum PDFUNC(-1) = FACTOR*dsum PDFUNC( 0) = FACTOR*gsum DO 100 ILOOP=1,NF PDFUNC(ILOOP) = 3D0*ACHAR2*PDFUNC(-2) > + 3D0*(CHARSQ(ILOOP) - ACHAR2)*PDFUNC(-1) 100 CONTINUE PDFUNC(-2) = PDFUNC(-2)*CSINGL PDFUNC(-1) = PDFUNC(-1)*CNONSG PDFUNC( 0) = PDFUNC( 0)*CSINGL RETURN C 110 CONTINUE WRITE(6,5000) WRITE(6,5100) NF GOTO 140 C 120 CONTINUE WRITE(6,5000) WRITE(6,5200) X GOTO 140 C 130 CONTINUE WRITE(6,5000) WRITE(6,5300) Q2,P2,ALAM GOTO 140 C 140 CONTINUE DO 150 ILOOP=-2,6 PDFUNC(ILOOP) = 0D0 150 CONTINUE C RETURN 5000 FORMAT(1X,'Message from PHOTON: PDFs put to zero') 5100 FORMAT(1X,'NF out of range, NF = ',I3) 5200 FORMAT(1X,'X out of range, X = ',E14.7) 5300 FORMAT(1X,'Q2, P2 or ALAM out of range, Q2, P2, ALAM = ',3E14.7) END C********************************************************************* FUNCTION PYDILN(X) C...Dilogarithm function. DOUBLE PRECISION PYDILN,X,Y,YP C...Map range x>0.5 to range x<0.5. IF(X.LE.0.5D0) THEN Y=X ELSE Y=1D0-X ENDIF C...Evaluate series expansion. PYDILN=0D0 YP=1D0 DO 100 K=1,20 YP=YP*Y IF(YP.LT.1D-30) GOTO 110 PYDILN=PYDILN+YP/(K*K) 100 CONTINUE C...Map back for range x>0.5. 110 IF(X.GT.0.5) PYDILN=1.644934067D0-LOG(X)*LOG(Y)-PYDILN RETURN END C********************************************************************* SUBROUTINE PYSTPI(X,Q2,XPPI) C...Gives pi+ structure function according to two different C...parametrizations. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPPI(-6:6),COW(3,5,4,2),XQ(9),TS(6) C...The following data lines are coefficients needed in the C...Owens pion structure function parametrizations, see below. C...Expansion coefficients for up and down valence quark distributions. DATA ((COW(IP,IS,1,1),IS=1,5),IP=1,3)/ 1 4.0000E-01, 7.0000E-01, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2 -6.2120E-02, 6.4780E-01, 0.0000E+00, 0.0000E+00, 0.0000E+00, 3 -7.1090E-03, 1.3350E-02, 0.0000E+00, 0.0000E+00, 0.0000E+00/ DATA ((COW(IP,IS,1,2),IS=1,5),IP=1,3)/ 1 4.0000E-01, 6.2800E-01, 0.0000E+00, 0.0000E+00, 0.0000E+00, 2 -5.9090E-02, 6.4360E-01, 0.0000E+00, 0.0000E+00, 0.0000E+00, 3 -6.5240E-03, 1.4510E-02, 0.0000E+00, 0.0000E+00, 0.0000E+00/ C...Expansion coefficients for gluon distribution. DATA ((COW(IP,IS,2,1),IS=1,5),IP=1,3)/ 1 8.8800E-01, 0.0000E+00, 3.1100E+00, 6.0000E+00, 0.0000E+00, 2 -1.8020E+00, -1.5760E+00, -1.3170E-01, 2.8010E+00, -1.7280E+01, 3 1.8120E+00, 1.2000E+00, 5.0680E-01, -1.2160E+01, 2.0490E+01/ DATA ((COW(IP,IS,2,2),IS=1,5),IP=1,3)/ 1 7.9400E-01, 0.0000E+00, 2.8900E+00, 6.0000E+00, 0.0000E+00, 2 -9.1440E-01, -1.2370E+00, 5.9660E-01, -3.6710E+00, -8.1910E+00, 3 5.9660E-01, 6.5820E-01, -2.5500E-01, -2.3040E+00, 7.7580E+00/ C...Expansion coefficients for (up+down+strange) quark sea distribution. DATA ((COW(IP,IS,3,1),IS=1,5),IP=1,3)/ 1 9.0000E-01, 0.0000E+00, 5.0000E+00, 0.0000E+00, 0.0000E+00, 2 -2.4280E-01, -2.1200E-01, 8.6730E-01, 1.2660E+00, 2.3820E+00, 3 1.3860E-01, 3.6710E-03, 4.7470E-02, -2.2150E+00, 3.4820E-01/ DATA ((COW(IP,IS,3,2),IS=1,5),IP=1,3)/ 1 9.0000E-01, 0.0000E+00, 5.0000E+00, 0.0000E+00, 0.0000E+00, 2 -1.4170E-01, -1.6970E-01, -2.4740E+00, -2.5340E+00, 5.6210E-01, 3 -1.7400E-01, -9.6230E-02, 1.5750E+00, 1.3780E+00, -2.7010E-01/ C...Expansion coefficients for charm quark sea distribution. DATA ((COW(IP,IS,4,1),IS=1,5),IP=1,3)/ 1 0.0000E+00, -2.2120E-02, 2.8940E+00, 0.0000E+00, 0.0000E+00, 2 7.9280E-02, -3.7850E-01, 9.4330E+00, 5.2480E+00, 8.3880E+00, 3 -6.1340E-02, -1.0880E-01, -1.0852E+01, -7.1870E+00, -1.1610E+01/ DATA ((COW(IP,IS,4,2),IS=1,5),IP=1,3)/ 1 0.0000E+00, -8.8200E-02, 1.9240E+00, 0.0000E+00, 0.0000E+00, 2 6.2290E-02, -2.8920E-01, 2.4240E-01, -4.4630E+00, -8.3670E-01, 3 -4.0990E-02, -1.0820E-01, 2.0360E+00, 5.2090E+00, -4.8400E-02/ C...Euler's beta function, requires ordinary Gamma function EULBET(X,Y)=PYGAMM(X)*PYGAMM(Y)/PYGAMM(X+Y) C...Pion structure functions from Owens. C...Allowed variable range: 4 GeV^2 < Q^2 < approx 2000 GeV^2. DO 100 KFL=-6,6 XPPI(KFL)=0. 100 CONTINUE C...Determine set, Lambda and s expansion variable. NSET=MSTP(53) IF(NSET.EQ.1) ALAM=0.2 IF(NSET.EQ.2) ALAM=0.4 VINT(231)=4. IF(MSTP(57).LE.0) THEN SD=0. ELSE Q2IN=MIN(2E3,MAX(4.,Q2)) SD=LOG(LOG(Q2IN/ALAM**2)/LOG(4./ALAM**2)) ENDIF C...Calculate structure functions. DO 120 KFL=1,4 DO 110 IS=1,5 TS(IS)=COW(1,IS,KFL,NSET)+COW(2,IS,KFL,NSET)*SD+ &COW(3,IS,KFL,NSET)*SD**2 110 CONTINUE IF(KFL.EQ.1) THEN XQ(KFL)=X**TS(1)*(1.-X)**TS(2)/EULBET(TS(1),TS(2)+1.) ELSE XQ(KFL)=TS(1)*X**TS(2)*(1.-X)**TS(3)*(1.+TS(4)*X+TS(5)*X**2) ENDIF 120 CONTINUE C...Put into output arrays. XPPI(0)=XQ(2) XPPI(1)=XQ(3)/6. XPPI(2)=XQ(1)+XQ(3)/6. XPPI(3)=XQ(3)/6. XPPI(4)=XQ(4) XPPI(-1)=XQ(1)+XQ(3)/6. XPPI(-2)=XQ(3)/6. XPPI(-3)=XQ(3)/6. XPPI(-4)=XQ(4) RETURN END C********************************************************************* SUBROUTINE PYSTPR(X,Q2,XPPR) C...Gives proton structure functions according to a few different C...parametrizations. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/ DIMENSION XPPR(-6:6),XQ(9),TX(6),TT(6),TS(6),NEHLQ(8,2), &CEHLQ(6,6,2,8,2),CDO(3,6,5,2) C...The following data lines are coefficients needed in the C...Eichten, Hinchliffe, Lane, Quigg proton structure function C...parametrizations, see below. C...Powers of 1-x in different cases. DATA NEHLQ/3,4,7,5,7,7,7,7,3,4,7,6,7,7,7,7/ C...Expansion coefficients for up valence quark distribution. DATA (((CEHLQ(IX,IT,NX,1,1),IX=1,6),IT=1,6),NX=1,2)/ 1 7.677E-01,-2.087E-01,-3.303E-01,-2.517E-02,-1.570E-02,-1.000E-04, 2-5.326E-01,-2.661E-01, 3.201E-01, 1.192E-01, 2.434E-02, 7.620E-03, 3 2.162E-01, 1.881E-01,-8.375E-02,-6.515E-02,-1.743E-02,-5.040E-03, 4-9.211E-02,-9.952E-02, 1.373E-02, 2.506E-02, 8.770E-03, 2.550E-03, 5 3.670E-02, 4.409E-02, 9.600E-04,-7.960E-03,-3.420E-03,-1.050E-03, 6-1.549E-02,-2.026E-02,-3.060E-03, 2.220E-03, 1.240E-03, 4.100E-04, 1 2.395E-01, 2.905E-01, 9.778E-02, 2.149E-02, 3.440E-03, 5.000E-04, 2 1.751E-02,-6.090E-03,-2.687E-02,-1.916E-02,-7.970E-03,-2.750E-03, 3-5.760E-03,-5.040E-03, 1.080E-03, 2.490E-03, 1.530E-03, 7.500E-04, 4 1.740E-03, 1.960E-03, 3.000E-04,-3.400E-04,-2.900E-04,-1.800E-04, 5-5.300E-04,-6.400E-04,-1.700E-04, 4.000E-05, 6.000E-05, 4.000E-05, 6 1.700E-04, 2.200E-04, 8.000E-05, 1.000E-05,-1.000E-05,-1.000E-05/ DATA (((CEHLQ(IX,IT,NX,1,2),IX=1,6),IT=1,6),NX=1,2)/ 1 7.237E-01,-2.189E-01,-2.995E-01,-1.909E-02,-1.477E-02, 2.500E-04, 2-5.314E-01,-2.425E-01, 3.283E-01, 1.119E-01, 2.223E-02, 7.070E-03, 3 2.289E-01, 1.890E-01,-9.859E-02,-6.900E-02,-1.747E-02,-5.080E-03, 4-1.041E-01,-1.084E-01, 2.108E-02, 2.975E-02, 9.830E-03, 2.830E-03, 5 4.394E-02, 5.116E-02,-1.410E-03,-1.055E-02,-4.230E-03,-1.270E-03, 6-1.991E-02,-2.539E-02,-2.780E-03, 3.430E-03, 1.720E-03, 5.500E-04, 1 2.410E-01, 2.884E-01, 9.369E-02, 1.900E-02, 2.530E-03, 2.400E-04, 2 1.765E-02,-9.220E-03,-3.037E-02,-2.085E-02,-8.440E-03,-2.810E-03, 3-6.450E-03,-5.260E-03, 1.720E-03, 3.110E-03, 1.830E-03, 8.700E-04, 4 2.120E-03, 2.320E-03, 2.600E-04,-4.900E-04,-3.900E-04,-2.300E-04, 5-6.900E-04,-8.200E-04,-2.000E-04, 7.000E-05, 9.000E-05, 6.000E-05, 6 2.400E-04, 3.100E-04, 1.100E-04, 0.000E+00,-2.000E-05,-2.000E-05/ C...Expansion coefficients for down valence quark distribution. DATA (((CEHLQ(IX,IT,NX,2,1),IX=1,6),IT=1,6),NX=1,2)/ 1 3.813E-01,-8.090E-02,-1.634E-01,-2.185E-02,-8.430E-03,-6.200E-04, 2-2.948E-01,-1.435E-01, 1.665E-01, 6.638E-02, 1.473E-02, 4.080E-03, 3 1.252E-01, 1.042E-01,-4.722E-02,-3.683E-02,-1.038E-02,-2.860E-03, 4-5.478E-02,-5.678E-02, 8.900E-03, 1.484E-02, 5.340E-03, 1.520E-03, 5 2.220E-02, 2.567E-02,-3.000E-05,-4.970E-03,-2.160E-03,-6.500E-04, 6-9.530E-03,-1.204E-02,-1.510E-03, 1.510E-03, 8.300E-04, 2.700E-04, 1 1.261E-01, 1.354E-01, 3.958E-02, 8.240E-03, 1.660E-03, 4.500E-04, 2 3.890E-03,-1.159E-02,-1.625E-02,-9.610E-03,-3.710E-03,-1.260E-03, 3-1.910E-03,-5.600E-04, 1.590E-03, 1.590E-03, 8.400E-04, 3.900E-04, 4 6.400E-04, 4.900E-04,-1.500E-04,-2.900E-04,-1.800E-04,-1.000E-04, 5-2.000E-04,-1.900E-04, 0.000E+00, 6.000E-05, 4.000E-05, 3.000E-05, 6 7.000E-05, 8.000E-05, 2.000E-05,-1.000E-05,-1.000E-05,-1.000E-05/ DATA (((CEHLQ(IX,IT,NX,2,2),IX=1,6),IT=1,6),NX=1,2)/ 1 3.578E-01,-8.622E-02,-1.480E-01,-1.840E-02,-7.820E-03,-4.500E-04, 2-2.925E-01,-1.304E-01, 1.696E-01, 6.243E-02, 1.353E-02, 3.750E-03, 3 1.318E-01, 1.041E-01,-5.486E-02,-3.872E-02,-1.038E-02,-2.850E-03, 4-6.162E-02,-6.143E-02, 1.303E-02, 1.740E-02, 5.940E-03, 1.670E-03, 5 2.643E-02, 2.957E-02,-1.490E-03,-6.450E-03,-2.630E-03,-7.700E-04, 6-1.218E-02,-1.497E-02,-1.260E-03, 2.240E-03, 1.120E-03, 3.500E-04, 1 1.263E-01, 1.334E-01, 3.732E-02, 7.070E-03, 1.260E-03, 3.400E-04, 2 3.660E-03,-1.357E-02,-1.795E-02,-1.031E-02,-3.880E-03,-1.280E-03, 3-2.100E-03,-3.600E-04, 2.050E-03, 1.920E-03, 9.800E-04, 4.400E-04, 4 7.700E-04, 5.400E-04,-2.400E-04,-3.900E-04,-2.400E-04,-1.300E-04, 5-2.600E-04,-2.300E-04, 2.000E-05, 9.000E-05, 6.000E-05, 4.000E-05, 6 9.000E-05, 1.000E-04, 2.000E-05,-2.000E-05,-2.000E-05,-1.000E-05/ C...Expansion coefficients for up and down sea quark distributions. DATA (((CEHLQ(IX,IT,NX,3,1),IX=1,6),IT=1,6),NX=1,2)/ 1 6.870E-02,-6.861E-02, 2.973E-02,-5.400E-03, 3.780E-03,-9.700E-04, 2-1.802E-02, 1.400E-04, 6.490E-03,-8.540E-03, 1.220E-03,-1.750E-03, 3-4.650E-03, 1.480E-03,-5.930E-03, 6.000E-04,-1.030E-03,-8.000E-05, 4 6.440E-03, 2.570E-03, 2.830E-03, 1.150E-03, 7.100E-04, 3.300E-04, 5-3.930E-03,-2.540E-03,-1.160E-03,-7.700E-04,-3.600E-04,-1.900E-04, 6 2.340E-03, 1.930E-03, 5.300E-04, 3.700E-04, 1.600E-04, 9.000E-05, 1 1.014E+00,-1.106E+00, 3.374E-01,-7.444E-02, 8.850E-03,-8.700E-04, 2 9.233E-01,-1.285E+00, 4.475E-01,-9.786E-02, 1.419E-02,-1.120E-03, 3 4.888E-02,-1.271E-01, 8.606E-02,-2.608E-02, 4.780E-03,-6.000E-04, 4-2.691E-02, 4.887E-02,-1.771E-02, 1.620E-03, 2.500E-04,-6.000E-05, 5 7.040E-03,-1.113E-02, 1.590E-03, 7.000E-04,-2.000E-04, 0.000E+00, 6-1.710E-03, 2.290E-03, 3.800E-04,-3.500E-04, 4.000E-05, 1.000E-05/ DATA (((CEHLQ(IX,IT,NX,3,2),IX=1,6),IT=1,6),NX=1,2)/ 1 1.008E-01,-7.100E-02, 1.973E-02,-5.710E-03, 2.930E-03,-9.900E-04, 2-5.271E-02,-1.823E-02, 1.792E-02,-6.580E-03, 1.750E-03,-1.550E-03, 3 1.220E-02, 1.763E-02,-8.690E-03,-8.800E-04,-1.160E-03,-2.100E-04, 4-1.190E-03,-7.180E-03, 2.360E-03, 1.890E-03, 7.700E-04, 4.100E-04, 5-9.100E-04, 2.040E-03,-3.100E-04,-1.050E-03,-4.000E-04,-2.400E-04, 6 1.190E-03,-1.700E-04,-2.000E-04, 4.200E-04, 1.700E-04, 1.000E-04, 1 1.081E+00,-1.189E+00, 3.868E-01,-8.617E-02, 1.115E-02,-1.180E-03, 2 9.917E-01,-1.396E+00, 4.998E-01,-1.159E-01, 1.674E-02,-1.720E-03, 3 5.099E-02,-1.338E-01, 9.173E-02,-2.885E-02, 5.890E-03,-6.500E-04, 4-3.178E-02, 5.703E-02,-2.070E-02, 2.440E-03, 1.100E-04,-9.000E-05, 5 8.970E-03,-1.392E-02, 2.050E-03, 6.500E-04,-2.300E-04, 2.000E-05, 6-2.340E-03, 3.010E-03, 5.000E-04,-3.900E-04, 6.000E-05, 1.000E-05/ C...Expansion coefficients for gluon distribution. DATA (((CEHLQ(IX,IT,NX,4,1),IX=1,6),IT=1,6),NX=1,2)/ 1 9.482E-01,-9.578E-01, 1.009E-01,-1.051E-01, 3.456E-02,-3.054E-02, 2-9.627E-01, 5.379E-01, 3.368E-01,-9.525E-02, 1.488E-02,-2.051E-02, 3 4.300E-01,-8.306E-02,-3.372E-01, 4.902E-02,-9.160E-03, 1.041E-02, 4-1.925E-01,-1.790E-02, 2.183E-01, 7.490E-03, 4.140E-03,-1.860E-03, 5 8.183E-02, 1.926E-02,-1.072E-01,-1.944E-02,-2.770E-03,-5.200E-04, 6-3.884E-02,-1.234E-02, 5.410E-02, 1.879E-02, 3.350E-03, 1.040E-03, 1 2.948E+01,-3.902E+01, 1.464E+01,-3.335E+00, 5.054E-01,-5.915E-02, 2 2.559E+01,-3.955E+01, 1.661E+01,-4.299E+00, 6.904E-01,-8.243E-02, 3-1.663E+00, 1.176E+00, 1.118E+00,-7.099E-01, 1.948E-01,-2.404E-02, 4-2.168E-01, 8.170E-01,-7.169E-01, 1.851E-01,-1.924E-02,-3.250E-03, 5 2.088E-01,-4.355E-01, 2.239E-01,-2.446E-02,-3.620E-03, 1.910E-03, 6-9.097E-02, 1.601E-01,-5.681E-02,-2.500E-03, 2.580E-03,-4.700E-04/ DATA (((CEHLQ(IX,IT,NX,4,2),IX=1,6),IT=1,6),NX=1,2)/ 1 2.367E+00, 4.453E-01, 3.660E-01, 9.467E-02, 1.341E-01, 1.661E-02, 2-3.170E+00,-1.795E+00, 3.313E-02,-2.874E-01,-9.827E-02,-7.119E-02, 3 1.823E+00, 1.457E+00,-2.465E-01, 3.739E-02, 6.090E-03, 1.814E-02, 4-1.033E+00,-9.827E-01, 2.136E-01, 1.169E-01, 5.001E-02, 1.684E-02, 5 5.133E-01, 5.259E-01,-1.173E-01,-1.139E-01,-4.988E-02,-2.021E-02, 6-2.881E-01,-3.145E-01, 5.667E-02, 9.161E-02, 4.568E-02, 1.951E-02, 1 3.036E+01,-4.062E+01, 1.578E+01,-3.699E+00, 6.020E-01,-7.031E-02, 2 2.700E+01,-4.167E+01, 1.770E+01,-4.804E+00, 7.862E-01,-1.060E-01, 3-1.909E+00, 1.357E+00, 1.127E+00,-7.181E-01, 2.232E-01,-2.481E-02, 4-2.488E-01, 9.781E-01,-8.127E-01, 2.094E-01,-2.997E-02,-4.710E-03, 5 2.506E-01,-5.427E-01, 2.672E-01,-3.103E-02,-1.800E-03, 2.870E-03, 6-1.128E-01, 2.087E-01,-6.972E-02,-2.480E-03, 2.630E-03,-8.400E-04/ C...Expansion coefficients for strange sea quark distribution. DATA (((CEHLQ(IX,IT,NX,5,1),IX=1,6),IT=1,6),NX=1,2)/ 1 4.968E-02,-4.173E-02, 2.102E-02,-3.270E-03, 3.240E-03,-6.700E-04, 2-6.150E-03,-1.294E-02, 6.740E-03,-6.890E-03, 9.000E-04,-1.510E-03, 3-8.580E-03, 5.050E-03,-4.900E-03,-1.600E-04,-9.400E-04,-1.500E-04, 4 7.840E-03, 1.510E-03, 2.220E-03, 1.400E-03, 7.000E-04, 3.500E-04, 5-4.410E-03,-2.220E-03,-8.900E-04,-8.500E-04,-3.600E-04,-2.000E-04, 6 2.520E-03, 1.840E-03, 4.100E-04, 3.900E-04, 1.600E-04, 9.000E-05, 1 9.235E-01,-1.085E+00, 3.464E-01,-7.210E-02, 9.140E-03,-9.100E-04, 2 9.315E-01,-1.274E+00, 4.512E-01,-9.775E-02, 1.380E-02,-1.310E-03, 3 4.739E-02,-1.296E-01, 8.482E-02,-2.642E-02, 4.760E-03,-5.700E-04, 4-2.653E-02, 4.953E-02,-1.735E-02, 1.750E-03, 2.800E-04,-6.000E-05, 5 6.940E-03,-1.132E-02, 1.480E-03, 6.500E-04,-2.100E-04, 0.000E+00, 6-1.680E-03, 2.340E-03, 4.200E-04,-3.400E-04, 5.000E-05, 1.000E-05/ DATA (((CEHLQ(IX,IT,NX,5,2),IX=1,6),IT=1,6),NX=1,2)/ 1 6.478E-02,-4.537E-02, 1.643E-02,-3.490E-03, 2.710E-03,-6.700E-04, 2-2.223E-02,-2.126E-02, 1.247E-02,-6.290E-03, 1.120E-03,-1.440E-03, 3-1.340E-03, 1.362E-02,-6.130E-03,-7.900E-04,-9.000E-04,-2.000E-04, 4 5.080E-03,-3.610E-03, 1.700E-03, 1.830E-03, 6.800E-04, 4.000E-04, 5-3.580E-03, 6.000E-05,-2.600E-04,-1.050E-03,-3.800E-04,-2.300E-04, 6 2.420E-03, 9.300E-04,-1.000E-04, 4.500E-04, 1.700E-04, 1.100E-04, 1 9.868E-01,-1.171E+00, 3.940E-01,-8.459E-02, 1.124E-02,-1.250E-03, 2 1.001E+00,-1.383E+00, 5.044E-01,-1.152E-01, 1.658E-02,-1.830E-03, 3 4.928E-02,-1.368E-01, 9.021E-02,-2.935E-02, 5.800E-03,-6.600E-04, 4-3.133E-02, 5.785E-02,-2.023E-02, 2.630E-03, 1.600E-04,-8.000E-05, 5 8.840E-03,-1.416E-02, 1.900E-03, 5.800E-04,-2.500E-04, 1.000E-05, 6-2.300E-03, 3.080E-03, 5.500E-04,-3.700E-04, 7.000E-05, 1.000E-05/ C...Expansion coefficients for charm sea quark distribution. DATA (((CEHLQ(IX,IT,NX,6,1),IX=1,6),IT=1,6),NX=1,2)/ 1 9.270E-03,-1.817E-02, 9.590E-03,-6.390E-03, 1.690E-03,-1.540E-03, 2 5.710E-03,-1.188E-02, 6.090E-03,-4.650E-03, 1.240E-03,-1.310E-03, 3-3.960E-03, 7.100E-03,-3.590E-03, 1.840E-03,-3.900E-04, 3.400E-04, 4 1.120E-03,-1.960E-03, 1.120E-03,-4.800E-04, 1.000E-04,-4.000E-05, 5 4.000E-05,-3.000E-05,-1.800E-04, 9.000E-05,-5.000E-05,-2.000E-05, 6-4.200E-04, 7.300E-04,-1.600E-04, 5.000E-05, 5.000E-05, 5.000E-05, 1 8.098E-01,-1.042E+00, 3.398E-01,-6.824E-02, 8.760E-03,-9.000E-04, 2 8.961E-01,-1.217E+00, 4.339E-01,-9.287E-02, 1.304E-02,-1.290E-03, 3 3.058E-02,-1.040E-01, 7.604E-02,-2.415E-02, 4.600E-03,-5.000E-04, 4-2.451E-02, 4.432E-02,-1.651E-02, 1.430E-03, 1.200E-04,-1.000E-04, 5 1.122E-02,-1.457E-02, 2.680E-03, 5.800E-04,-1.200E-04, 3.000E-05, 6-7.730E-03, 7.330E-03,-7.600E-04,-2.400E-04, 1.000E-05, 0.000E+00/ DATA (((CEHLQ(IX,IT,NX,6,2),IX=1,6),IT=1,6),NX=1,2)/ 1 9.980E-03,-1.945E-02, 1.055E-02,-6.870E-03, 1.860E-03,-1.560E-03, 2 5.700E-03,-1.203E-02, 6.250E-03,-4.860E-03, 1.310E-03,-1.370E-03, 3-4.490E-03, 7.990E-03,-4.170E-03, 2.050E-03,-4.400E-04, 3.300E-04, 4 1.470E-03,-2.480E-03, 1.460E-03,-5.700E-04, 1.200E-04,-1.000E-05, 5-9.000E-05, 1.500E-04,-3.200E-04, 1.200E-04,-6.000E-05,-4.000E-05, 6-4.200E-04, 7.600E-04,-1.400E-04, 4.000E-05, 7.000E-05, 5.000E-05, 1 8.698E-01,-1.131E+00, 3.836E-01,-8.111E-02, 1.048E-02,-1.300E-03, 2 9.626E-01,-1.321E+00, 4.854E-01,-1.091E-01, 1.583E-02,-1.700E-03, 3 3.057E-02,-1.088E-01, 8.022E-02,-2.676E-02, 5.590E-03,-5.600E-04, 4-2.845E-02, 5.164E-02,-1.918E-02, 2.210E-03,-4.000E-05,-1.500E-04, 5 1.311E-02,-1.751E-02, 3.310E-03, 5.100E-04,-1.200E-04, 5.000E-05, 6-8.590E-03, 8.380E-03,-9.200E-04,-2.600E-04, 1.000E-05,-1.000E-05/ C...Expansion coefficients for bottom sea quark distribution. DATA (((CEHLQ(IX,IT,NX,7,1),IX=1,6),IT=1,6),NX=1,2)/ 1 9.010E-03,-1.401E-02, 7.150E-03,-4.130E-03, 1.260E-03,-1.040E-03, 2 6.280E-03,-9.320E-03, 4.780E-03,-2.890E-03, 9.100E-04,-8.200E-04, 3-2.930E-03, 4.090E-03,-1.890E-03, 7.600E-04,-2.300E-04, 1.400E-04, 4 3.900E-04,-1.200E-03, 4.400E-04,-2.500E-04, 2.000E-05,-2.000E-05, 5 2.600E-04, 1.400E-04,-8.000E-05, 1.000E-04, 1.000E-05, 1.000E-05, 6-2.600E-04, 3.200E-04, 1.000E-05,-1.000E-05, 1.000E-05,-1.000E-05, 1 8.029E-01,-1.075E+00, 3.792E-01,-7.843E-02, 1.007E-02,-1.090E-03, 2 7.903E-01,-1.099E+00, 4.153E-01,-9.301E-02, 1.317E-02,-1.410E-03, 3-1.704E-02,-1.130E-02, 2.882E-02,-1.341E-02, 3.040E-03,-3.600E-04, 4-7.200E-04, 7.230E-03,-5.160E-03, 1.080E-03,-5.000E-05,-4.000E-05, 5 3.050E-03,-4.610E-03, 1.660E-03,-1.300E-04,-1.000E-05, 1.000E-05, 6-4.360E-03, 5.230E-03,-1.610E-03, 2.000E-04,-2.000E-05, 0.000E+00/ DATA (((CEHLQ(IX,IT,NX,7,2),IX=1,6),IT=1,6),NX=1,2)/ 1 8.980E-03,-1.459E-02, 7.510E-03,-4.410E-03, 1.310E-03,-1.070E-03, 2 5.970E-03,-9.440E-03, 4.800E-03,-3.020E-03, 9.100E-04,-8.500E-04, 3-3.050E-03, 4.440E-03,-2.100E-03, 8.500E-04,-2.400E-04, 1.400E-04, 4 5.300E-04,-1.300E-03, 5.600E-04,-2.700E-04, 3.000E-05,-2.000E-05, 5 2.000E-04, 1.400E-04,-1.100E-04, 1.000E-04, 0.000E+00, 0.000E+00, 6-2.600E-04, 3.200E-04, 0.000E+00,-3.000E-05, 1.000E-05,-1.000E-05, 1 8.672E-01,-1.174E+00, 4.265E-01,-9.252E-02, 1.244E-02,-1.460E-03, 2 8.500E-01,-1.194E+00, 4.630E-01,-1.083E-01, 1.614E-02,-1.830E-03, 3-2.241E-02,-5.630E-03, 2.815E-02,-1.425E-02, 3.520E-03,-4.300E-04, 4-7.300E-04, 8.030E-03,-5.780E-03, 1.380E-03,-1.300E-04,-4.000E-05, 5 3.460E-03,-5.380E-03, 1.960E-03,-2.100E-04, 1.000E-05, 1.000E-05, 6-4.850E-03, 5.950E-03,-1.890E-03, 2.600E-04,-3.000E-05, 0.000E+00/ C...Expansion coefficients for top sea quark distribution. DATA (((CEHLQ(IX,IT,NX,8,1),IX=1,6),IT=1,6),NX=1,2)/ 1 4.410E-03,-7.480E-03, 3.770E-03,-2.580E-03, 7.300E-04,-7.100E-04, 2 3.840E-03,-6.050E-03, 3.030E-03,-2.030E-03, 5.800E-04,-5.900E-04, 3-8.800E-04, 1.660E-03,-7.500E-04, 4.700E-04,-1.000E-04, 1.000E-04, 4-8.000E-05,-1.500E-04, 1.200E-04,-9.000E-05, 3.000E-05, 0.000E+00, 5 1.300E-04,-2.200E-04,-2.000E-05,-2.000E-05,-2.000E-05,-2.000E-05, 6-7.000E-05, 1.900E-04,-4.000E-05, 2.000E-05, 0.000E+00, 0.000E+00, 1 6.623E-01,-9.248E-01, 3.519E-01,-7.930E-02, 1.110E-02,-1.180E-03, 2 6.380E-01,-9.062E-01, 3.582E-01,-8.479E-02, 1.265E-02,-1.390E-03, 3-2.581E-02, 2.125E-02, 4.190E-03,-4.980E-03, 1.490E-03,-2.100E-04, 4 7.100E-04, 5.300E-04,-1.270E-03, 3.900E-04,-5.000E-05,-1.000E-05, 5 3.850E-03,-5.060E-03, 1.860E-03,-3.500E-04, 4.000E-05, 0.000E+00, 6-3.530E-03, 4.460E-03,-1.500E-03, 2.700E-04,-3.000E-05, 0.000E+00/ DATA (((CEHLQ(IX,IT,NX,8,2),IX=1,6),IT=1,6),NX=1,2)/ 1 4.260E-03,-7.530E-03, 3.830E-03,-2.680E-03, 7.600E-04,-7.300E-04, 2 3.640E-03,-6.050E-03, 3.030E-03,-2.090E-03, 5.900E-04,-6.000E-04, 3-9.200E-04, 1.710E-03,-8.200E-04, 5.000E-04,-1.200E-04, 1.000E-04, 4-5.000E-05,-1.600E-04, 1.300E-04,-9.000E-05, 3.000E-05, 0.000E+00, 5 1.300E-04,-2.100E-04,-1.000E-05,-2.000E-05,-2.000E-05,-1.000E-05, 6-8.000E-05, 1.800E-04,-5.000E-05, 2.000E-05, 0.000E+00, 0.000E+00, 1 7.146E-01,-1.007E+00, 3.932E-01,-9.246E-02, 1.366E-02,-1.540E-03, 2 6.856E-01,-9.828E-01, 3.977E-01,-9.795E-02, 1.540E-02,-1.790E-03, 3-3.053E-02, 2.758E-02, 2.150E-03,-4.880E-03, 1.640E-03,-2.500E-04, 4 9.200E-04, 4.200E-04,-1.340E-03, 4.600E-04,-8.000E-05,-1.000E-05, 5 4.230E-03,-5.660E-03, 2.140E-03,-4.300E-04, 6.000E-05, 0.000E+00, 6-3.890E-03, 5.000E-03,-1.740E-03, 3.300E-04,-4.000E-05, 0.000E+00/ C...The following data lines are coefficients needed in the C...Duke, Owens proton structure function parametrizations, see below. C...Expansion coefficients for (up+down) valence quark distribution. DATA ((CDO(IP,IS,1,1),IS=1,6),IP=1,3)/ 1 4.190E-01, 3.460E+00, 4.400E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2 4.000E-03, 7.240E-01,-4.860E+00, 0.000E+00, 0.000E+00, 0.000E+00, 3-7.000E-03,-6.600E-02, 1.330E+00, 0.000E+00, 0.000E+00, 0.000E+00/ DATA ((CDO(IP,IS,1,2),IS=1,6),IP=1,3)/ 1 3.740E-01, 3.330E+00, 6.030E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2 1.400E-02, 7.530E-01,-6.220E+00, 0.000E+00, 0.000E+00, 0.000E+00, 3 0.000E+00,-7.600E-02, 1.560E+00, 0.000E+00, 0.000E+00, 0.000E+00/ C...Expansion coefficients for down valence quark distribution. DATA ((CDO(IP,IS,2,1),IS=1,6),IP=1,3)/ 1 7.630E-01, 4.000E+00, 0.000E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2-2.370E-01, 6.270E-01,-4.210E-01, 0.000E+00, 0.000E+00, 0.000E+00, 3 2.600E-02,-1.900E-02, 3.300E-02, 0.000E+00, 0.000E+00, 0.000E+00/ DATA ((CDO(IP,IS,2,2),IS=1,6),IP=1,3)/ 1 7.610E-01, 3.830E+00, 0.000E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2-2.320E-01, 6.270E-01,-4.180E-01, 0.000E+00, 0.000E+00, 0.000E+00, 3 2.300E-02,-1.900E-02, 3.600E-02, 0.000E+00, 0.000E+00, 0.000E+00/ C...Expansion coefficients for (up+down+strange) sea quark distribution. DATA ((CDO(IP,IS,3,1),IS=1,6),IP=1,3)/ 1 1.265E+00, 0.000E+00, 8.050E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2-1.132E+00,-3.720E-01, 1.590E+00, 6.310E+00,-1.050E+01, 1.470E+01, 3 2.930E-01,-2.900E-02,-1.530E-01,-2.730E-01,-3.170E+00, 9.800E+00/ DATA ((CDO(IP,IS,3,2),IS=1,6),IP=1,3)/ 1 1.670E+00, 0.000E+00, 9.150E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2-1.920E+00,-2.730E-01, 5.300E-01, 1.570E+01,-1.010E+02, 2.230E+02, 3 5.820E-01,-1.640E-01,-7.630E-01,-2.830E+00, 4.470E+01,-1.170E+02/ C...Expansion coefficients for charm sea quark distribution. DATA ((CDO(IP,IS,4,1),IS=1,6),IP=1,3)/ 1 0.000E+00,-3.600E-02, 6.350E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2 1.350E-01,-2.220E-01, 3.260E+00,-3.030E+00, 1.740E+01,-1.790E+01, 3-7.500E-02,-5.800E-02,-9.090E-01, 1.500E+00,-1.130E+01, 1.560E+01/ DATA ((CDO(IP,IS,4,2),IS=1,6),IP=1,3)/ 1 0.000E+00,-1.200E-01, 3.510E+00, 0.000E+00, 0.000E+00, 0.000E+00, 2 6.700E-02,-2.330E-01, 3.660E+00,-4.740E-01, 9.500E+00,-1.660E+01, 3-3.100E-02,-2.300E-02,-4.530E-01, 3.580E-01,-5.430E+00, 1.550E+01/ C...Expansion coefficients for gluon distribution. DATA ((CDO(IP,IS,5,1),IS=1,6),IP=1,3)/ 1 1.560E+00, 0.000E+00, 6.000E+00, 9.000E+00, 0.000E+00, 0.000E+00, 2-1.710E+00,-9.490E-01, 1.440E+00,-7.190E+00,-1.650E+01, 1.530E+01, 3 6.380E-01, 3.250E-01,-1.050E+00, 2.550E-01, 1.090E+01,-1.010E+01/ DATA ((CDO(IP,IS,5,2),IS=1,6),IP=1,3)/ 1 8.790E-01, 0.000E+00, 4.000E+00, 9.000E+00, 0.000E+00, 0.000E+00, 2-9.710E-01,-1.160E+00, 1.230E+00,-5.640E+00,-7.540E+00,-5.960E-01, 3 4.340E-01, 4.760E-01,-2.540E-01,-8.170E-01, 5.500E+00, 1.260E-01/ C...Euler's beta function, requires ordinary Gamma function EULBET(X,Y)=PYGAMM(X)*PYGAMM(Y)/PYGAMM(X+Y) C...Reset output array. DO 100 KFL=-6,6 XPPR(KFL)=0. 100 CONTINUE IF(MSTP(51).EQ.1.OR.MSTP(51).EQ.2) THEN C...Proton structure functions from Eichten, Hinchliffe, Lane, Quigg. C...Allowed variable range: 5 GeV^2 < Q^2 < 1E8 GeV^2; 1E-4 < x < 1 C...Determine set, Lambda and x and t expansion variables. NSET=MSTP(51) IF(NSET.EQ.1) ALAM=0.2 IF(NSET.EQ.2) ALAM=0.29 VINT(231)=5. TMIN=LOG(5./ALAM**2) TMAX=LOG(1E8/ALAM**2) IF(MSTP(57).EQ.0) THEN T=TMIN ELSE T=LOG(MAX(1.,Q2/ALAM**2)) ENDIF VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN))) NX=1 IF(X.LE.0.1) NX=2 IF(NX.EQ.1) VX=(2.*X-1.1)/0.9 IF(NX.EQ.2) VX=MAX(-1.,(2.*LOG(X)+11.51293)/6.90776) CXS=1. IF(X.LT.1E-4.AND.ABS(PARP(51)-1.).GT.0.01) CXS= & (1E-4/X)**(PARP(51)-1.) C...Chebyshev polynomials for x and t expansion. TX(1)=1. TX(2)=VX TX(3)=2.*VX**2-1. TX(4)=4.*VX**3-3.*VX TX(5)=8.*VX**4-8.*VX**2+1. TX(6)=16.*VX**5-20.*VX**3+5.*VX TT(1)=1. TT(2)=VT TT(3)=2.*VT**2-1. TT(4)=4.*VT**3-3.*VT TT(5)=8.*VT**4-8.*VT**2+1. TT(6)=16.*VT**5-20.*VT**3+5.*VT C...Calculate structure functions. DO 130 KFL=1,6 XQSUM=0. DO 120 IT=1,6 DO 110 IX=1,6 XQSUM=XQSUM+CEHLQ(IX,IT,NX,KFL,NSET)*TX(IX)*TT(IT) 110 CONTINUE 120 CONTINUE XQ(KFL)=XQSUM*(1.-X)**NEHLQ(KFL,NSET)*CXS 130 CONTINUE C...Put into output array. XPPR(0)=XQ(4) XPPR(1)=XQ(2)+XQ(3) XPPR(2)=XQ(1)+XQ(3) XPPR(3)=XQ(5) XPPR(4)=XQ(6) XPPR(-1)=XQ(3) XPPR(-2)=XQ(3) XPPR(-3)=XQ(5) XPPR(-4)=XQ(6) C...Special expansion for bottom (threshold effects). IF(MSTP(58).GE.5) THEN IF(NSET.EQ.1) TMIN=8.1905 IF(NSET.EQ.2) TMIN=7.4474 IF(T.GT.TMIN) THEN VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN))) TT(1)=1. TT(2)=VT TT(3)=2.*VT**2-1. TT(4)=4.*VT**3-3.*VT TT(5)=8.*VT**4-8.*VT**2+1. TT(6)=16.*VT**5-20.*VT**3+5.*VT XQSUM=0. DO 150 IT=1,6 DO 140 IX=1,6 XQSUM=XQSUM+CEHLQ(IX,IT,NX,7,NSET)*TX(IX)*TT(IT) 140 CONTINUE 150 CONTINUE XPPR(5)=XQSUM*(1.-X)**NEHLQ(7,NSET)*CXS XPPR(-5)=XPPR(5) ENDIF ENDIF C...Special expansion for top (threshold effects). IF(MSTP(58).GE.6) THEN IF(NSET.EQ.1) TMIN=11.5528 IF(NSET.EQ.2) TMIN=10.8097 TMIN=TMIN+2.*LOG(PMAS(6,1)/30.) TMAX=TMAX+2.*LOG(PMAS(6,1)/30.) IF(T.GT.TMIN) THEN VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN))) TT(1)=1. TT(2)=VT TT(3)=2.*VT**2-1. TT(4)=4.*VT**3-3.*VT TT(5)=8.*VT**4-8.*VT**2+1. TT(6)=16.*VT**5-20.*VT**3+5.*VT XQSUM=0. DO 170 IT=1,6 DO 160 IX=1,6 XQSUM=XQSUM+CEHLQ(IX,IT,NX,8,NSET)*TX(IX)*TT(IT) 160 CONTINUE 170 CONTINUE XPPR(6)=XQSUM*(1.-X)**NEHLQ(8,NSET)*CXS XPPR(-6)=XPPR(6) ENDIF ENDIF ELSEIF(MSTP(51).EQ.3.OR.MSTP(51).EQ.4) THEN C...Proton structure functions from Duke, Owens. C...Allowed variable range: 4 GeV^2 < Q^2 < approx 1E6 GeV^2. C...Determine set, Lambda and s expansion parameter. NSET=MSTP(51)-2 IF(NSET.EQ.1) ALAM=0.2 IF(NSET.EQ.2) ALAM=0.4 VINT(231)=4. IF(MSTP(57).LE.0) THEN SD=0. ELSE Q2IN=MIN(1E6,MAX(4.,Q2)) SD=LOG(LOG(Q2IN/ALAM**2)/LOG(4./ALAM**2)) ENDIF C...Calculate structure functions. DO 190 KFL=1,5 DO 180 IS=1,6 TS(IS)=CDO(1,IS,KFL,NSET)+CDO(2,IS,KFL,NSET)*SD+ & CDO(3,IS,KFL,NSET)*SD**2 180 CONTINUE IF(KFL.LE.2) THEN XQ(KFL)=X**TS(1)*(1.-X)**TS(2)*(1.+TS(3)*X)/(EULBET(TS(1), & TS(2)+1.)*(1.+TS(3)*TS(1)/(TS(1)+TS(2)+1.))) ELSE XQ(KFL)=TS(1)*X**TS(2)*(1.-X)**TS(3)*(1.+TS(4)*X+TS(5)*X**2+ & TS(6)*X**3) ENDIF 190 CONTINUE C...Put into output arrays. XPPR(0)=XQ(5) XPPR(1)=XQ(2)+XQ(3)/6. XPPR(2)=3.*XQ(1)-XQ(2)+XQ(3)/6. XPPR(3)=XQ(3)/6. XPPR(4)=XQ(4) XPPR(-1)=XQ(3)/6. XPPR(-2)=XQ(3)/6. XPPR(-3)=XQ(3)/6. XPPR(-4)=XQ(4) ELSEIF(MSTP(51).GE.5.AND.MSTP(51).LE.10) THEN C...Interface to the CTEQ 2 structure functions. NSET=MSTP(51)-4 QRT=SQRT(MAX(1.,Q2)) C...Loop over flavours; put u and d in right order. DO 200 I=-6,2 KFL=I IF(I.EQ.1) KFL=2 IF(I.EQ.2) KFL=1 IF(I.EQ.-1) KFL=-2 IF(I.EQ.-2) KFL=-1 IF(I.LE.0) THEN XPPR(KFL)=PYCTQ2(NSET,I,X,QRT) XPPR(-KFL)=XPPR(KFL) ELSE XPPR(KFL)=PYCTQ2(NSET,I,X,QRT)+XPPR(-KFL) ENDIF 200 CONTINUE ENDIF RETURN END C********************************************************************* FUNCTION PYCTQ2 (Iset, Iprt, X, Q) C...This routine gives the CTEQ 2 parton distribution function sets in C...parametrized form. It is adapted from the revised parametrization C...with extended range of November 12, 1993. C...Authors: J. Botts, H.L. Lai, J.G. Morfin, J.F. Owens, J. Qiu, C...W.K. Tung and H. Weerts. COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) SAVE /LUDAT2/ C...Data on Lambda values of fits, minimum Q and quark masses. DIMENSION Alm(6), Qms(4:6) DATA Alm / 0.213, 0.208, 0.208, 0.322, 0.190, 0.235 / DATA Qmn / 1.60 /, (Qms(I), I=4,6) / 1.60, 5.00, 180.0 / Qms(6) = PMAS(6,1) C....Check flavour thresholds. Set up Qi for SB. Ip = IABS(Iprt) If (Ip .GE. 4) then If (Q .LE. Qms(Ip)) then PYCTQ2 = 0.0 Return Endif Qi = Qms(ip) Else Qi = Qmn Endif C...Use "standard lambda" of parametrization program for expansion. Alam = Alm (Iset) SBL = LOG(Q/Alam) / LOG(Qi/Alam) SB = LOG (SBL) SB2 = SB*SB SB3 = SB2*SB C...Expansion for run le26 - CTEQ2M If (Iset .EQ. 1) then If (Iprt .EQ. 2) then A0=Exp( 0.2143E+00+0.8417E+00*SB -0.2451E+01*SB2+0.9875E+00*SB3) A1= 0.5209E+00-0.2384E+00*SB +0.5086E+00*SB2-0.2123E+00*SB3 A2= 0.3178E+01+0.5258E+01*SB -0.8102E+01*SB2+0.3334E+01*SB3 A3=-0.8537E+00+0.5921E+01*SB -0.1007E+02*SB2+0.4146E+01*SB3 A4= 0.1821E+01+0.2822E-01*SB +0.1662E+00*SB2-0.1058E+00*SB3 A5= 0.0000E+00-0.1090E+01*SB +0.3136E+01*SB2-0.1301E+01*SB3 Elseif (Iprt .EQ. 1) then A0=Exp(-0.1314E+01-0.1342E-01*SB +0.1136E+00*SB2-0.1557E+00*SB3) A1= 0.2780E+00+0.2558E-01*SB +0.4467E-02*SB2-0.2472E-02*SB3 A2= 0.3672E+01+0.5324E+00*SB +0.3531E-01*SB2+0.7928E-03*SB3 A3= 0.2957E+02-0.2000E+02*SB +0.5929E+01*SB2+0.3390E+00*SB3 A4= 0.8069E+00-0.2877E+00*SB +0.3574E-01*SB2+0.5622E-02*SB3 A5= 0.0000E+00+0.2287E+00*SB -0.4052E-01*SB2+0.5589E-01*SB3 Elseif (Iprt .EQ. 0) then A0=Exp(-0.1059E+00-0.1461E+01*SB -0.2544E+00*SB2+0.4526E-01*SB3) A1=-0.2578E+00+0.1385E+00*SB -0.1383E+00*SB2+0.3811E-01*SB3 A2= 0.5195E+01+0.9648E+00*SB -0.2103E+00*SB2-0.6701E-01*SB3 A3= 0.5131E+01+0.2151E+01*SB -0.2880E+01*SB2+0.6608E+00*SB3 A4= 0.1118E+01+0.2636E+00*SB -0.5140E+00*SB2+0.1613E+00*SB3 A5= 0.0000E+00+0.2456E+01*SB -0.8741E+00*SB2+0.2136E+00*SB3 Elseif (Iprt .EQ. -1) then A0=Exp(-0.2732E+00-0.3523E+01*SB +0.3657E+01*SB2-0.1415E+01*SB3) A1=-0.3807E+00+0.1211E+00*SB -0.1231E+00*SB2+0.3753E-01*SB3 A2= 0.9698E+01-0.2596E+01*SB +0.2412E+01*SB2-0.9257E+00*SB3 A3=-0.6165E+00+0.1120E+01*SB -0.1708E+01*SB2+0.6383E+00*SB3 A4= 0.7292E-01-0.1339E+00*SB +0.2104E+00*SB2-0.7987E-01*SB3 A5=-0.1370E+01+0.2452E+01*SB -0.1804E+01*SB2+0.6459E+00*SB3 Elseif (Iprt .EQ. -2) then A0=Exp(-0.2319E+01-0.3182E+01*SB +0.3572E+01*SB2-0.1431E+01*SB3) A1=-0.2622E+00+0.3085E+00*SB -0.4394E+00*SB2+0.1496E+00*SB3 A2= 0.9481E+01-0.3627E+01*SB +0.5640E+01*SB2-0.2265E+01*SB3 A3= 0.5000E+02-0.1851E+02*SB +0.2640E+01*SB2-0.6001E+00*SB3 A4= 0.1566E+01-0.7375E+00*SB +0.8736E+00*SB2-0.3449E+00*SB3 A5=-0.7983E-01+0.3236E+01*SB -0.3373E+01*SB2+0.1236E+01*SB3 Elseif (Iprt .EQ. -3) then A0=Exp(-0.1855E+01-0.5302E+01*SB +0.8433E+00*SB2-0.1236E+00*SB3) A1=-0.4000E-02-0.1345E+01*SB +0.1192E+01*SB2-0.3039E+00*SB3 A2= 0.6870E+01+0.1246E+01*SB -0.8968E+00*SB2-0.9791E-01*SB3 A3= 0.0000E+00+0.4616E+01*SB +0.1026E+02*SB2+0.2844E+02*SB3 A4= 0.1000E-02+0.4098E+00*SB -0.4250E+00*SB2+0.1100E+00*SB3 A5= 0.0000E+00-0.2151E+01*SB +0.2991E+01*SB2-0.7717E+00*SB3 Elseif (Iprt .EQ. -4) then A0=SB** 0.7722E+00*Exp(-0.7241E+01-0.7885E-01*SB -0.1124E+01*SB2) A1=-0.3971E+00+0.9132E+00*SB -0.1175E+01*SB2+0.3573E+00*SB3 A2= 0.6367E+01-0.6565E+01*SB +0.8114E+01*SB2-0.2666E+01*SB3 A3= 0.2878E+02-0.2000E+02*SB +0.7000E+00*SB2+0.3000E+02*SB3 A4= 0.1010E+00-0.4592E+00*SB +0.5877E+00*SB2-0.1472E+00*SB3 A5= 0.1749E+00+0.3875E+01*SB -0.3768E+01*SB2+0.1316E+01*SB3 Elseif (Iprt .EQ. -5) then A0=SB** 0.1299E+00*Exp(-0.4868E+01-0.4339E+01*SB +0.7080E+00*SB2) A1=-0.1705E+00-0.3381E+00*SB +0.5287E+00*SB2-0.2644E+00*SB3 A2= 0.5610E+01-0.1365E+01*SB +0.1835E+01*SB2-0.5655E+00*SB3 A3=-0.1001E+01+0.3044E+01*SB +0.2680E+01*SB2+0.1426E+02*SB3 A4= 0.3814E-02+0.3430E+00*SB -0.6926E+00*SB2+0.3486E+00*SB3 A5= 0.1156E+01+0.2016E+01*SB -0.1674E+01*SB2+0.5981E+00*SB3 Elseif (Iprt .EQ. -6) then A0=SB** 0.9819E+00*Exp(-0.7859E+01+0.6819E+00*SB -0.3386E+01*SB2) A1=-0.1055E+00-0.1413E+01*SB +0.3451E+01*SB2-0.2466E+01*SB3 A2= 0.4055E+01+0.8107E+01*SB -0.1576E+02*SB2+0.8094E+01*SB3 A3= 0.3799E+01+0.9616E+01*SB -0.1984E+02*SB2+0.2641E+02*SB3 A4= 0.3619E+00-0.8627E+00*SB -0.9390E-01*SB2+0.9196E+00*SB3 A5= 0.3779E+01-0.6073E+01*SB +0.9999E+01*SB2-0.4304E+01*SB3 Endif C...Expansion for run sa17 - CTEQ2MS Elseif (Iset .EQ. 2) then If (Iprt .EQ. 2) then A0=Exp( 0.2790E+00+0.7294E+00*SB -0.2202E+01*SB2+0.8599E+00*SB3) A1= 0.5380E+00-0.2261E+00*SB +0.4636E+00*SB2-0.1871E+00*SB3 A2= 0.3259E+01+0.2141E+01*SB -0.2947E+01*SB2+0.1245E+01*SB3 A3=-0.8390E+00+0.1448E+01*SB -0.2331E+01*SB2+0.8658E+00*SB3 A4= 0.1847E+01-0.3943E+01*SB +0.5998E+01*SB2-0.2191E+01*SB3 A5= 0.0000E+00-0.9719E+00*SB +0.2830E+01*SB2-0.1137E+01*SB3 Elseif (Iprt .EQ. 1) then A0=Exp(-0.1318E+01+0.2328E-01*SB +0.5179E-01*SB2-0.1305E+00*SB3) A1= 0.2760E+00+0.4429E-01*SB -0.2626E-01*SB2+0.7143E-02*SB3 A2= 0.3660E+01+0.5232E+00*SB +0.5491E-01*SB2-0.4115E-02*SB3 A3= 0.2910E+02-0.2000E+02*SB +0.6631E+01*SB2-0.3050E-01*SB3 A4= 0.8010E+00-0.2688E+00*SB +0.1051E-01*SB2+0.1195E-01*SB3 A5= 0.0000E+00+0.2887E+00*SB -0.1398E+00*SB2+0.8194E-01*SB3 Elseif (Iprt .EQ. 0) then A0=Exp(-0.1623E+01-0.7232E+00*SB +0.1889E+00*SB2+0.1140E+00*SB3) A1=-0.5000E+00+0.8611E-01*SB +0.2203E-01*SB2-0.1401E-01*SB3 A2= 0.3821E+01+0.8976E+00*SB +0.1400E+00*SB2-0.9163E-01*SB3 A3= 0.5809E+01-0.5060E+01*SB +0.3808E+00*SB2+0.2519E+00*SB3 A4= 0.4500E+00-0.5121E+00*SB +0.1979E+00*SB2-0.2705E-01*SB3 A5= 0.0000E+00+0.1210E+01*SB -0.2921E+00*SB2+0.1240E+00*SB3 Elseif (Iprt .EQ. -1) then A0=Exp(-0.6986E-01-0.5954E+00*SB -0.1582E+01*SB2+0.5104E+00*SB3) A1=-0.8461E+00+0.2127E+00*SB +0.9425E-01*SB2-0.5264E-01*SB3 A2= 0.1200E+02+0.1659E+01*SB -0.5354E+01*SB2+0.1795E+01*SB3 A3= 0.2958E+02+0.3000E+02*SB +0.3000E+02*SB2-0.1965E+02*SB3 A4= 0.4000E+01-0.4865E+00*SB +0.9460E+00*SB2+0.3432E+00*SB3 A5=-0.3378E+01+0.1656E+01*SB +0.1123E+01*SB2-0.4667E+00*SB3 Elseif (Iprt .EQ. -2) then A0=Exp(-0.1929E+01-0.2626E+01*SB +0.2926E+01*SB2-0.1297E+01*SB3) A1=-0.6627E+00+0.4561E+00*SB -0.3818E+00*SB2+0.1239E+00*SB3 A2= 0.9506E+01-0.2724E+01*SB +0.4283E+01*SB2-0.1804E+01*SB3 A3= 0.1897E+02+0.1642E+01*SB -0.8390E+01*SB2+0.3894E+01*SB3 A4= 0.1024E+01-0.1786E+00*SB +0.4535E+00*SB2-0.2075E+00*SB3 A5=-0.1746E+01+0.3572E+01*SB -0.2908E+01*SB2+0.1093E+01*SB3 Elseif (Iprt .EQ. -3) then A0=Exp(-0.4913E+00-0.6866E+01*SB +0.1432E+01*SB2-0.1749E+00*SB3) A1=-0.1157E+00-0.1567E+01*SB +0.1439E+01*SB2-0.3724E+00*SB3 A2= 0.7730E+01+0.9748E+00*SB -0.1157E+01*SB2-0.8358E-02*SB3 A3=-0.6050E+00+0.1835E+01*SB +0.3788E+01*SB2+0.3000E+02*SB3 A4= 0.1620E-08+0.4590E+00*SB -0.4070E+00*SB2+0.8900E-01*SB3 A5=-0.7048E+00-0.2505E+01*SB +0.4000E+01*SB2-0.1161E+01*SB3 Elseif (Iprt .EQ. -4) then A0=SB** 0.7393E+00*Exp(-0.6518E+01-0.3998E+00*SB -0.1111E+01*SB2) A1=-0.6482E+00+0.1125E+01*SB -0.1290E+01*SB2+0.3940E+00*SB3 A2= 0.8487E+01-0.9235E+01*SB +0.9353E+01*SB2-0.2913E+01*SB3 A3= 0.2265E+02-0.1999E+02*SB +0.4105E+01*SB2+0.2144E+02*SB3 A4= 0.8990E-01-0.4372E+00*SB +0.5941E+00*SB2-0.1469E+00*SB3 A5=-0.9690E+00+0.5068E+01*SB -0.4368E+01*SB2+0.1503E+01*SB3 Elseif (Iprt .EQ. -5) then A0=SB** 0.9880E+00*Exp(-0.7180E+01-0.2494E+01*SB +0.3561E-01*SB2) A1=-0.4301E+00-0.2611E+00*SB +0.3914E+00*SB2-0.1638E+00*SB3 A2= 0.5137E+01+0.1506E+01*SB -0.9588E+00*SB2-0.1596E+00*SB3 A3= 0.1483E+02+0.2998E+02*SB +0.2357E+02*SB2-0.9353E+01*SB3 A4= 0.2426E+00+0.1371E+00*SB -0.3791E+00*SB2+0.1948E+00*SB3 A5= 0.1463E+01+0.1907E+00*SB +0.3557E+00*SB2+0.2097E-01*SB3 Elseif (Iprt .EQ. -6) then A0=SB** 0.1005E+01*Exp(-0.5255E+01-0.9866E-01*SB -0.2737E+01*SB2) A1=-0.3140E+00-0.2055E+00*SB +0.5594E+00*SB2-0.2960E+00*SB3 A2= 0.9227E+01-0.4569E+01*SB -0.9724E+01*SB2+0.1026E+02*SB3 A3= 0.1131E+02-0.1972E+02*SB -0.1107E+02*SB2+0.2311E+02*SB3 A4= 0.1488E+01+0.1737E+01*SB +0.4323E+01*SB2-0.9925E+01*SB3 A5= 0.1895E+01-0.7350E+00*SB +0.3780E+01*SB2-0.1408E+01*SB3 Endif Elseif (Iset .EQ. 3) then C...Expansion for run fa06 - CTEQ2MF If (Iprt .EQ. 2) then A0=Exp(-0.7913E+00-0.2789E+01*SB -0.7289E-01*SB2+0.1770E+00*SB3) A1= 0.4942E+00-0.7886E-01*SB +0.9057E-01*SB2-0.5259E-01*SB3 A2= 0.3727E+01+0.1089E+01*SB -0.1004E+01*SB2+0.4345E+00*SB3 A3= 0.1944E+01+0.7846E+01*SB +0.7984E+01*SB2+0.5548E+01*SB3 A4= 0.2940E-02+0.8428E-04*SB +0.1266E+00*SB2-0.3517E-01*SB3 A5=-0.1060E+00-0.1192E-01*SB +0.1130E+01*SB2-0.4527E+00*SB3 Elseif (Iprt .EQ. 1) then A0=Exp(-0.1344E+01+0.7859E-02*SB +0.4623E-01*SB2-0.1273E+00*SB3) A1= 0.2760E+00+0.4201E-01*SB -0.1795E-01*SB2+0.3212E-02*SB3 A2= 0.3660E+01+0.5247E+00*SB +0.4405E-01*SB2+0.1391E-02*SB3 A3= 0.2981E+02-0.2000E+02*SB +0.6566E+01*SB2+0.2479E-01*SB3 A4= 0.7950E+00-0.2732E+00*SB +0.2470E-01*SB2+0.6157E-02*SB3 A5= 0.0000E+00+0.2793E+00*SB -0.9197E-01*SB2+0.5953E-01*SB3 Elseif (Iprt .EQ. 0) then A0=Exp( 0.9746E+00-0.3252E+01*SB +0.1664E+01*SB2-0.6410E+00*SB3) A1=-0.5271E-02-0.3198E+00*SB +0.1279E+00*SB2-0.1256E-02*SB3 A2= 0.5740E+01-0.3139E+01*SB +0.3841E+01*SB2-0.1415E+01*SB3 A3= 0.7161E-01-0.4363E+01*SB +0.4925E+01*SB2-0.1614E+01*SB3 A4= 0.1860E+01+0.1342E+01*SB -0.2234E+01*SB2+0.1047E+01*SB3 A5= 0.7409E-01+0.2390E+01*SB -0.1457E+01*SB2+0.5853E+00*SB3 Elseif (Iprt .EQ. -1) then A0=Exp(-0.8454E+00-0.3334E+01*SB +0.3591E+01*SB2-0.1485E+01*SB3) A1=-0.2826E-02-0.2810E+00*SB -0.3809E-01*SB2+0.6585E-01*SB3 A2= 0.9139E+01-0.2811E+01*SB +0.4730E+01*SB2-0.2157E+01*SB3 A3=-0.3120E+00+0.1217E+01*SB -0.1726E+01*SB2+0.6220E+00*SB3 A4= 0.1793E-01-0.4608E-01*SB +0.5294E-01*SB2-0.1709E-01*SB3 A5=-0.1471E+00+0.1104E+01*SB -0.1358E+01*SB2+0.7200E+00*SB3 Elseif (Iprt .EQ. -2) then A0=Exp(-0.1398E+01-0.3536E+01*SB +0.3849E+01*SB2-0.1549E+01*SB3) A1=-0.1332E-01-0.2155E-01*SB -0.3404E+00*SB2+0.1569E+00*SB3 A2= 0.9981E+01-0.3499E+01*SB +0.5448E+01*SB2-0.2198E+01*SB3 A3= 0.3736E+02-0.2000E+02*SB +0.6675E+01*SB2-0.7276E+00*SB3 A4= 0.1705E+01-0.1013E+01*SB +0.1122E+01*SB2-0.4057E+00*SB3 A5=-0.1189E-01+0.2698E+01*SB -0.3429E+01*SB2+0.1389E+01*SB3 Elseif (Iprt .EQ. -3) then A0=Exp(-0.2979E+01-0.6085E+01*SB +0.2428E+01*SB2-0.6482E+00*SB3) A1=-0.1372E+00-0.1281E+00*SB +0.1587E+00*SB2-0.9637E-01*SB3 A2= 0.7009E+01-0.1609E+01*SB +0.2765E+01*SB2-0.1177E+01*SB3 A3= 0.1308E+01+0.9583E+01*SB +0.2360E+02*SB2+0.2999E+02*SB3 A4= 0.2509E-01+0.2106E+00*SB -0.4405E+00*SB2+0.2075E+00*SB3 A5=-0.2069E-01+0.1971E+01*SB -0.1615E+01*SB2+0.6039E+00*SB3 Elseif (Iprt .EQ. -4) then A0=SB** 0.8072E+00*Exp(-0.6920E+01-0.5031E+00*SB -0.9965E+00*SB2) A1=-0.2118E+00+0.7930E+00*SB -0.1101E+01*SB2+0.3302E+00*SB3 A2= 0.8039E+01-0.7170E+01*SB +0.8657E+01*SB2-0.2893E+01*SB3 A3= 0.2926E+02-0.1993E+02*SB +0.1841E+01*SB2+0.2996E+02*SB3 A4= 0.1339E+00-0.5531E+00*SB +0.6505E+00*SB2-0.1595E+00*SB3 A5= 0.7439E+00+0.3307E+01*SB -0.3284E+01*SB2+0.1152E+01*SB3 Elseif (Iprt .EQ. -5) then A0=SB** 0.9925E+00*Exp(-0.2190E+01-0.3393E+01*SB -0.8631E+00*SB2) A1=-0.1261E+00-0.2368E+00*SB +0.4143E+00*SB2-0.1577E+00*SB3 A2= 0.4585E+01+0.5227E+01*SB -0.3248E+01*SB2-0.2599E+00*SB3 A3=-0.1094E+01+0.4927E+00*SB -0.9921E+00*SB2+0.3138E+01*SB3 A4= 0.1396E+00+0.2562E+00*SB +0.1844E+00*SB2-0.1599E+00*SB3 A5= 0.8621E+00+0.4715E+00*SB +0.2547E+01*SB2-0.8429E+00*SB3 Elseif (Iprt .EQ. -6) then A0=SB** 0.1016E+01*Exp(-0.5397E+01-0.1979E+01*SB -0.2441E+00*SB2) A1=-0.1426E+00-0.2861E+00*SB +0.7434E+00*SB2-0.5214E+00*SB3 A2= 0.6363E+01+0.4028E+00*SB -0.8356E+01*SB2+0.6814E+01*SB3 A3=-0.2526E+00+0.2425E+01*SB -0.1407E+02*SB2+0.3000E+02*SB3 A4= 0.1125E+00-0.1089E+01*SB +0.9977E+01*SB2+0.1000E+02*SB3 A5= 0.2669E+01-0.6366E+00*SB +0.4355E+01*SB2-0.2919E+01*SB3 Endif Elseif (Iset .EQ. 4) then C...Expansion for run ll25 - CTEQ2ML If (Iprt .EQ. 2) then A0=Exp( 0.3760E+00+0.5491E+00*SB -0.1845E+01*SB2+0.6803E+00*SB3) A1= 0.5650E+00-0.1953E+00*SB +0.3761E+00*SB2-0.1419E+00*SB3 A2= 0.3464E+01+0.3817E+01*SB -0.5384E+01*SB2+0.2057E+01*SB3 A3=-0.5850E+00+0.5566E+01*SB -0.9000E+01*SB2+0.3433E+01*SB3 A4= 0.2322E+01-0.1431E+00*SB +0.3901E+00*SB2-0.1678E+00*SB3 A5= 0.0000E+00-0.7370E+00*SB +0.2310E+01*SB2-0.8743E+00*SB3 Elseif (Iprt .EQ. 1) then A0=Exp(-0.1324E+01+0.1169E-01*SB +0.1969E-01*SB2-0.7583E-01*SB3) A1= 0.2890E+00+0.5832E-01*SB -0.2921E-01*SB2+0.4701E-02*SB3 A2= 0.3580E+01+0.5291E+00*SB -0.5662E-02*SB2+0.2746E-01*SB3 A3= 0.3021E+02-0.1999E+02*SB +0.6250E+01*SB2-0.3035E+00*SB3 A4= 0.7990E+00-0.2531E+00*SB +0.5556E-02*SB2+0.8272E-02*SB3 A5= 0.0000E+00+0.3674E+00*SB -0.1383E+00*SB2+0.4665E-01*SB3 Elseif (Iprt .EQ. 0) then A0=Exp(-0.1920E+00-0.7015E+00*SB -0.9113E+00*SB2+0.2352E+00*SB3) A1=-0.2120E+00+0.1133E-01*SB -0.1553E-01*SB2+0.2822E-02*SB3 A2= 0.4549E+01+0.1250E+01*SB -0.4647E+00*SB2+0.9617E-01*SB3 A3= 0.1197E+02-0.4156E+01*SB +0.1413E+00*SB2+0.1607E+00*SB3 A4= 0.1616E+01+0.1082E+00*SB -0.6651E+00*SB2+0.2356E+00*SB3 A5= 0.0000E+00+0.1824E+01*SB -0.2063E+00*SB2+0.1148E-01*SB3 Elseif (Iprt .EQ. -1) then A0=Exp(-0.1388E+01-0.7408E+00*SB -0.6454E+00*SB2+0.2373E+00*SB3) A1=-0.2928E+00-0.1726E-01*SB +0.4033E-01*SB2-0.2514E-01*SB3 A2= 0.9975E+01-0.2048E+01*SB -0.6060E+00*SB2+0.5225E+00*SB3 A3= 0.2687E+02-0.4683E+01*SB -0.1999E+02*SB2+0.1188E+02*SB3 A4= 0.4000E+01-0.6773E+00*SB +0.4301E+00*SB2+0.4524E+00*SB3 A5=-0.7164E+00+0.7488E+00*SB +0.5766E+00*SB2-0.2609E+00*SB3 Elseif (Iprt .EQ. -2) then A0=Exp(-0.2272E+01-0.2998E+01*SB +0.3282E+01*SB2-0.1203E+01*SB3) A1=-0.2062E+00+0.3320E+00*SB -0.5074E+00*SB2+0.1655E+00*SB3 A2= 0.9667E+01-0.3497E+01*SB +0.5271E+01*SB2-0.1984E+01*SB3 A3= 0.4996E+02-0.3241E+01*SB -0.1425E+02*SB2+0.3849E+01*SB3 A4= 0.1619E+01-0.5354E+00*SB +0.5753E+00*SB2-0.2238E+00*SB3 A5= 0.8755E-01+0.3195E+01*SB -0.3496E+01*SB2+0.1197E+01*SB3 Elseif (Iprt .EQ. -3) then A0=Exp(-0.1864E+01-0.5258E+01*SB +0.1034E+01*SB2-0.1550E+00*SB3) A1= 0.1000E-02-0.1090E+01*SB +0.8345E+00*SB2-0.1887E+00*SB3 A2= 0.6898E+01-0.4951E+00*SB +0.4279E+00*SB2-0.2727E+00*SB3 A3= 0.0000E+00+0.4322E+01*SB +0.8181E+01*SB2+0.2309E+02*SB3 A4= 0.1000E-02+0.3550E+00*SB -0.3220E+00*SB2+0.7294E-01*SB3 A5= 0.0000E+00-0.1347E+01*SB +0.1896E+01*SB2-0.4491E+00*SB3 Elseif (Iprt .EQ. -4) then A0=SB** 0.7528E+00*Exp(-0.7684E+01+0.6791E-01*SB -0.9094E+00*SB2) A1=-0.3732E+00+0.8408E+00*SB -0.1020E+01*SB2+0.3046E+00*SB3 A2= 0.4984E+01-0.5534E+01*SB +0.6418E+01*SB2-0.1856E+01*SB3 A3= 0.3761E+02-0.1999E+02*SB -0.3358E+01*SB2+0.2999E+02*SB3 A4= 0.1161E+00-0.4680E+00*SB +0.5567E+00*SB2-0.1633E+00*SB3 A5= 0.3028E+00+0.3339E+01*SB -0.3004E+01*SB2+0.9160E+00*SB3 Elseif (Iprt .EQ. -5) then A0=SB** 0.1011E+01*Exp(-0.7217E+01-0.2288E+01*SB +0.3450E+00*SB2) A1=-0.1955E+00-0.3371E+00*SB +0.5111E+00*SB2-0.2210E+00*SB3 A2= 0.4302E+01-0.1214E+01*SB +0.3104E+01*SB2-0.1408E+01*SB3 A3= 0.1487E+02+0.1549E+02*SB +0.2875E+02*SB2-0.1922E+02*SB3 A4= 0.8935E-02+0.3571E+00*SB -0.6668E+00*SB2+0.3037E+00*SB3 A5= 0.1570E+01+0.7105E+00*SB -0.6070E+00*SB2+0.3796E+00*SB3 Elseif (Iprt .EQ. -6) then A0=SB** 0.9986E+00*Exp(-0.5847E+01-0.2798E+00*SB -0.9882E+00*SB2) A1=-0.2154E+00-0.8282E-01*SB +0.3611E-01*SB2+0.2623E-01*SB3 A2= 0.3250E+01+0.9635E+01*SB -0.1274E+02*SB2+0.4453E+01*SB3 A3=-0.2594E+01+0.9097E+01*SB +0.1581E+02*SB2-0.9123E+01*SB3 A4= 0.1768E+01-0.2749E+01*SB +0.9999E+01*SB2+0.9995E+01*SB3 A5= 0.2521E+01-0.1802E-01*SB +0.4820E+00*SB2+0.2004E+00*SB3 Endif Elseif (Iset .EQ. 5) then C...Expansion for run lo24 - CTEQ2L If (Iprt .EQ. 2) then A0=Exp( 0.7248E-01+0.3941E+00*SB -0.1772E+01*SB2+0.7629E+00*SB3) A1= 0.4964E+00-0.1224E+00*SB +0.3646E+00*SB2-0.1685E+00*SB3 A2= 0.3000E+01+0.2780E+01*SB -0.4028E+01*SB2+0.1816E+01*SB3 A3=-0.1064E+01+0.3062E+01*SB -0.5927E+01*SB2+0.2785E+01*SB3 A4= 0.3193E+01+0.1499E+01*SB -0.2765E+01*SB2+0.1019E+01*SB3 A5= 0.1524E-01-0.4541E+00*SB +0.2281E+01*SB2-0.1033E+01*SB3 Elseif (Iprt .EQ. 1) then A0=Exp(-0.1794E+01-0.2055E+00*SB -0.3350E-01*SB2-0.5084E-01*SB3) A1= 0.1748E+00+0.4637E-01*SB -0.2048E-01*SB2+0.2596E-02*SB3 A2= 0.3321E+01+0.6253E+00*SB +0.2148E-01*SB2+0.1288E-01*SB3 A3= 0.4355E+02-0.2000E+02*SB +0.5486E+01*SB2+0.1536E+00*SB3 A4= 0.9586E+00-0.3217E+00*SB +0.4458E-01*SB2-0.1404E-03*SB3 A5=-0.6595E-02+0.3499E+00*SB -0.7048E-01*SB2+0.2619E-01*SB3 Elseif (Iprt .EQ. 0) then A0=Exp(-0.6194E+00-0.2643E+00*SB -0.1875E+01*SB2+0.6011E+00*SB3) A1=-0.2600E+00+0.8704E-01*SB -0.7375E-01*SB2+0.1876E-01*SB3 A2= 0.4620E+01+0.1578E+01*SB -0.8411E+00*SB2+0.1527E+00*SB3 A3= 0.1604E+02-0.1230E+02*SB +0.6939E+01*SB2-0.2012E+01*SB3 A4= 0.1255E+01+0.4769E+00*SB -0.9915E+00*SB2+0.3439E+00*SB3 A5= 0.1116E-02+0.2409E+01*SB -0.4442E+00*SB2+0.3431E-01*SB3 Elseif (Iprt .EQ. -1) then A0=Exp(-0.1571E+01-0.1905E+00*SB -0.8672E+00*SB2+0.2070E+00*SB3) A1=-0.3266E+00+0.6428E-01*SB -0.8694E-01*SB2+0.1778E-01*SB3 A2= 0.8921E+01-0.5010E+00*SB -0.9658E+00*SB2+0.3893E+00*SB3 A3= 0.1329E+02+0.4652E+01*SB -0.2000E+02*SB2+0.1001E+02*SB3 A4= 0.3283E+01-0.3400E+00*SB -0.1957E+00*SB2+0.8063E+00*SB3 A5=-0.5701E+00+0.4042E+00*SB +0.5239E+00*SB2-0.1665E+00*SB3 Elseif (Iprt .EQ. -2) then A0=Exp(-0.2281E+01-0.2768E+01*SB +0.3137E+01*SB2-0.1278E+01*SB3) A1=-0.2624E+00+0.4142E+00*SB -0.5936E+00*SB2+0.1937E+00*SB3 A2= 0.9438E+01-0.3179E+01*SB +0.5107E+01*SB2-0.2179E+01*SB3 A3= 0.5000E+02-0.1802E+02*SB -0.7515E+01*SB2+0.2991E+01*SB3 A4= 0.1809E+01-0.9121E+00*SB +0.8854E+00*SB2-0.3582E+00*SB3 A5= 0.4056E-01+0.3033E+01*SB -0.3431E+01*SB2+0.1253E+01*SB3 Elseif (Iprt .EQ. -3) then A0=Exp(-0.2318E+01-0.4104E+01*SB -0.1502E+00*SB2+0.1693E+00*SB3) A1=-0.2251E-01-0.1101E+01*SB +0.1037E+01*SB2-0.3290E+00*SB3 A2= 0.6989E+01+0.1794E+01*SB -0.1811E+01*SB2+0.3061E+00*SB3 A3= 0.7972E+00+0.7806E+01*SB +0.1869E+02*SB2+0.2999E+02*SB3 A4= 0.4795E-01+0.1622E+00*SB -0.3977E+00*SB2+0.1920E+00*SB3 A5=-0.5275E-01-0.2616E+01*SB +0.3076E+01*SB2-0.7425E+00*SB3 Elseif (Iprt .EQ. -4) then A0=SB** 0.8431E+00*Exp(-0.6539E+01-0.1875E+00*SB -0.1346E+01*SB2) A1=-0.4970E+00+0.9062E+00*SB -0.1169E+01*SB2+0.3703E+00*SB3 A2= 0.4939E+01-0.2995E+01*SB +0.4483E+01*SB2-0.1704E+01*SB3 A3= 0.3113E+02-0.1997E+02*SB +0.1540E+01*SB2+0.3000E+02*SB3 A4= 0.1349E+00-0.5418E+00*SB +0.6142E+00*SB2-0.1360E+00*SB3 A5=-0.8590E+00+0.3956E+01*SB -0.3612E+01*SB2+0.1401E+01*SB3 Elseif (Iprt .EQ. -5) then A0=SB** 0.2639E-01*Exp(-0.2099E+01-0.2681E+01*SB +0.2925E+00*SB2) A1=-0.2243E+00-0.5343E-01*SB -0.1953E-01*SB2+0.1586E-01*SB3 A2= 0.4294E+01+0.1102E+01*SB -0.1822E+00*SB2-0.2481E+00*SB3 A3=-0.9998E+00+0.8275E-01*SB +0.5494E+00*SB2-0.1982E+00*SB3 A4= 0.5904E-04+0.9222E-01*SB -0.9293E-01*SB2+0.9159E-01*SB3 A5= 0.2657E+00+0.1770E+01*SB -0.7111E+00*SB2+0.2525E+00*SB3 Elseif (Iprt .EQ. -6) then A0=SB** 0.1009E+01*Exp(-0.7032E+01+0.4562E+01*SB -0.9081E+01*SB2) A1=-0.1412E+00-0.5076E+00*SB +0.9513E+00*SB2-0.4326E+00*SB3 A2= 0.5385E+01+0.3023E+01*SB -0.1162E+02*SB2+0.7006E+01*SB3 A3= 0.4997E+01-0.1600E+02*SB +0.1342E+02*SB2+0.1197E+02*SB3 A4= 0.5825E+00+0.3994E+00*SB -0.1255E+01*SB2+0.6486E+00*SB3 A5= 0.3365E+01-0.4026E+01*SB +0.8385E+01*SB2-0.2260E+01*SB3 Endif Elseif (Iset .EQ. 6) then C...Expansion for run da06 - CTEQ2D If (Iprt .EQ. 2) then A0=Exp( 0.1590E+00+0.5580E+00*SB -0.1838E+01*SB2+0.7018E+00*SB3) A1= 0.5110E+00-0.1625E+00*SB +0.3547E+00*SB2-0.1412E+00*SB3 A2= 0.3158E+01+0.3962E+01*SB -0.5866E+01*SB2+0.2375E+01*SB3 A3=-0.6000E+00+0.6144E+01*SB -0.1056E+02*SB2+0.4345E+01*SB3 A4= 0.2306E+01-0.4669E-01*SB +0.2711E+00*SB2-0.1640E+00*SB3 A5= 0.0000E+00-0.6638E+00*SB +0.2239E+01*SB2-0.8843E+00*SB3 Elseif (Iprt .EQ. 1) then A0=Exp(-0.1182E+01+0.1449E+00*SB +0.2753E-01*SB2-0.1009E+00*SB3) A1= 0.2540E+00+0.2686E-01*SB -0.1546E-01*SB2+0.5396E-02*SB3 A2= 0.3442E+01+0.5576E+00*SB +0.1937E-01*SB2+0.6696E-02*SB3 A3= 0.2545E+02-0.2000E+02*SB +0.7355E+01*SB2-0.7058E+00*SB3 A4= 0.9170E+00-0.3090E+00*SB +0.1705E-01*SB2+0.8534E-02*SB3 A5= 0.0000E+00+0.1449E+00*SB -0.7821E-01*SB2+0.6405E-01*SB3 Elseif (Iprt .EQ. 0) then A0=Exp(-0.3410E+00-0.9613E+00*SB -0.4969E+00*SB2+0.9360E-01*SB3) A1=-0.2400E+00+0.1473E+00*SB -0.1593E+00*SB2+0.4538E-01*SB3 A2= 0.4841E+01+0.9311E+00*SB +0.1601E-03*SB2-0.1331E+00*SB3 A3= 0.7427E+01-0.1397E+01*SB +0.1489E+00*SB2-0.2848E+00*SB3 A4= 0.9600E+00+0.3697E+00*SB -0.4246E+00*SB2+0.1032E+00*SB3 A5= 0.0000E+00+0.2484E+01*SB -0.9908E+00*SB2+0.2568E+00*SB3 Elseif (Iprt .EQ. -1) then A0=Exp( 0.1176E+00-0.3418E+01*SB +0.3529E+01*SB2-0.1367E+01*SB3) A1=-0.3654E+00+0.1914E+00*SB -0.2192E+00*SB2+0.6933E-01*SB3 A2= 0.1099E+02-0.4281E+01*SB +0.3729E+01*SB2-0.1254E+01*SB3 A3=-0.7514E+00+0.7696E+00*SB -0.1134E+01*SB2+0.4245E+00*SB3 A4= 0.7690E-01-0.6558E-01*SB +0.8726E-01*SB2-0.3345E-01*SB3 A5=-0.1447E+01+0.2617E+01*SB -0.2094E+01*SB2+0.7536E+00*SB3 Elseif (Iprt .EQ. -2) then A0=Exp(-0.2412E+01-0.2522E+01*SB +0.3126E+01*SB2-0.1305E+01*SB3) A1=-0.2353E+00+0.3118E+00*SB -0.4864E+00*SB2+0.1689E+00*SB3 A2= 0.9017E+01-0.2437E+01*SB +0.4659E+01*SB2-0.2044E+01*SB3 A3= 0.5000E+02-0.1158E+02*SB -0.9260E+01*SB2+0.2847E+01*SB3 A4= 0.1726E+01-0.6849E+00*SB +0.7864E+00*SB2-0.3300E+00*SB3 A5= 0.5080E-01+0.2858E+01*SB -0.3297E+01*SB2+0.1246E+01*SB3 Elseif (Iprt .EQ. -3) then A0=Exp(-0.1966E+01-0.4405E+01*SB +0.2436E+00*SB2+0.4576E-01*SB3) A1=-0.4000E-02-0.1229E+01*SB +0.1118E+01*SB2-0.2988E+00*SB3 A2= 0.6902E+01+0.1266E+01*SB -0.1068E+01*SB2+0.3062E-01*SB3 A3= 0.0000E+00+0.3987E+01*SB +0.9389E+01*SB2+0.1881E+02*SB3 A4= 0.1000E-02+0.3528E+00*SB -0.4201E+00*SB2+0.1248E+00*SB3 A5= 0.0000E+00-0.2149E+01*SB +0.2925E+01*SB2-0.7609E+00*SB3 Elseif (Iprt .EQ. -4) then A0=SB** 0.7561E+00*Exp(-0.6960E+01+0.5634E-01*SB -0.1170E+01*SB2) A1=-0.4232E+00+0.9269E+00*SB -0.1161E+01*SB2+0.3470E+00*SB3 A2= 0.6057E+01-0.5790E+01*SB +0.7352E+01*SB2-0.2435E+01*SB3 A3= 0.2941E+02-0.1999E+02*SB -0.8345E+00*SB2+0.3000E+02*SB3 A4= 0.1069E+00-0.4620E+00*SB +0.5614E+00*SB2-0.1336E+00*SB3 A5=-0.1865E+00+0.3953E+01*SB -0.3791E+01*SB2+0.1315E+01*SB3 Elseif (Iprt .EQ. -5) then A0=SB** 0.5661E-02*Exp(-0.2123E+01-0.3026E+01*SB +0.1912E+00*SB2) A1=-0.2011E+00-0.1338E-01*SB -0.3974E-01*SB2+0.1948E-01*SB3 A2= 0.4906E+01+0.1740E+01*SB -0.1387E+01*SB2+0.1263E+00*SB3 A3=-0.1000E+01+0.5767E-01*SB +0.6377E+00*SB2+0.4736E-01*SB3 A4= 0.5927E-04+0.1039E+00*SB -0.9797E-01*SB2+0.6881E-01*SB3 A5= 0.4017E+00+0.1981E+01*SB -0.7758E+00*SB2+0.2916E+00*SB3 Elseif (Iprt .EQ. -6) then A0=SB** 0.1008E+01*Exp(-0.7211E+01+0.3273E+01*SB -0.6979E+01*SB2) A1=-0.1026E+00-0.4948E+00*SB +0.1188E+01*SB2-0.8016E+00*SB3 A2= 0.5397E+01+0.2135E+01*SB -0.9531E+01*SB2+0.6115E+01*SB3 A3= 0.4966E+01-0.1111E+02*SB +0.4732E+01*SB2+0.1568E+02*SB3 A4= 0.5345E+00-0.1935E+00*SB +0.5816E+00*SB2-0.6794E+00*SB3 A5= 0.3569E+01-0.3477E+01*SB +0.8756E+01*SB2-0.4139E+01*SB3 Endif Endif C...Calculation of x * f(x, Q). PYCTQ2 = MAX(0., A0 *(X**A1) *((1.-X)**A2) *(1.+A3*(X**A4)) & *(log(1.+1./X))**A5 ) RETURN END C********************************************************************* FUNCTION PYHFTH(SH,SQM,FRATT) C...Gives threshold attractive/repulsive factor for heavy flavour C...production. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/ C...Value for alpha_strong. IF(MSTP(35).LE.1) THEN ALSSG=PARP(35) ELSE MST115=MSTU(115) MSTU(115)=MSTP(36) Q2BN=SQRT(MAX(1.,SQM*((SQRT(SH)-2.*SQRT(SQM))**2+PARP(36)**2))) ALSSG=ULALPS(Q2BN) MSTU(115)=MST115 ENDIF C...Evaluate attractive and repulsive factors. XATTR=4.*PARU(1)*ALSSG/(3.*SQRT(MAX(1E-20,1.-4.*SQM/SH))) FATTR=XATTR/(1.-EXP(-MIN(50.,XATTR))) XREPU=PARU(1)*ALSSG/(6.*SQRT(MAX(1E-20,1.-4.*SQM/SH))) FREPU=XREPU/(EXP(MIN(50.,XREPU))-1.) PYHFTH=FRATT*FATTR+(1.-FRATT)*FREPU VINT(138)=PYHFTH RETURN END C********************************************************************* SUBROUTINE PYSPLI(KF,KFLIN,KFLCH,KFLSP) C...In case of a hadron remnant which is more complicated than just a C...quark or a diquark, split it into two (partons or hadron + parton). COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) SAVE /PYPARS/,/PYINT1/ DIMENSION KFL(3) C...Preliminaries. Parton composition. KFA=IABS(KF) KFS=ISIGN(1,KF) KFL(1)=MOD(KFA/1000,10) KFL(2)=MOD(KFA/100,10) KFL(3)=MOD(KFA/10,10) IF(KFA.EQ.22.AND.MSTP(14).EQ.2) THEN KFL(2)=INT(1.5+RLU(0)) IF(MINT(103).EQ.333.OR.MINT(104).EQ.333) KFL(2)=3 IF(MINT(103).EQ.443.OR.MINT(104).EQ.443) KFL(2)=4 KFL(3)=KFL(2) ELSEIF((KFA.EQ.111.OR.KFA.EQ.113).AND.RLU(0).GT.0.5) THEN KFL(2)=2 KFL(3)=2 ELSEIF(KFA.EQ.223.AND.RLU(0).GT.0.5) THEN KFL(2)=1 KFL(3)=1 ENDIF IF(KFLIN.NE.21.AND.KFLIN.NE.22.AND.KFLIN.NE.23) THEN KFLR=KFLIN*KFS ELSE KFLR=KFLIN ENDIF KFLCH=0 C...Subdivide lepton. IF(KFA.GE.11.AND.KFA.LE.18) THEN IF(KFLR.EQ.KFA) THEN KFLSP=KFS*22 ELSEIF(KFLR.EQ.22) THEN KFLSP=KFA ELSEIF(KFLR.EQ.-24.AND.MOD(KFA,2).EQ.1) THEN KFLSP=KFA+1 ELSEIF(KFLR.EQ.24.AND.MOD(KFA,2).EQ.0) THEN KFLSP=KFA-1 ELSEIF(KFLR.EQ.21) THEN KFLSP=KFA KFLCH=KFS*21 ELSE KFLSP=KFA KFLCH=-KFLR ENDIF C...Subdivide photon. ELSEIF(KFA.EQ.22.AND.MSTP(14).NE.2) THEN IF(KFLR.NE.21) THEN KFLSP=-KFLR ELSE RAGR=0.75*RLU(0) KFLSP=1 IF(RAGR.GT.0.125) KFLSP=2 IF(RAGR.GT.0.625) KFLSP=3 IF(RLU(0).GT.0.5) KFLSP=-KFLSP KFLCH=-KFLSP ENDIF C...Subdivide Reggeon or Pomeron. ELSEIF(KFA.EQ.28.OR.KFA.EQ.29) THEN IF(KFLIN.EQ.21) THEN KFLSP=KFS*21 ELSE KFLSP=-KFLIN ENDIF C...Subdivide meson. ELSEIF(KFL(1).EQ.0) THEN KFL(2)=KFL(2)*(-1)**KFL(2) KFL(3)=-KFL(3)*(-1)**IABS(KFL(2)) IF(KFLR.EQ.KFL(2)) THEN KFLSP=KFL(3) ELSEIF(KFLR.EQ.KFL(3)) THEN KFLSP=KFL(2) ELSEIF(KFLR.EQ.21.AND.RLU(0).GT.0.5) THEN KFLSP=KFL(2) KFLCH=KFL(3) ELSEIF(KFLR.EQ.21) THEN KFLSP=KFL(3) KFLCH=KFL(2) ELSEIF(KFLR*KFL(2).GT.0) THEN CALL LUKFDI(-KFLR,KFL(2),KFDUMP,KFLCH) KFLSP=KFL(3) ELSE CALL LUKFDI(-KFLR,KFL(3),KFDUMP,KFLCH) KFLSP=KFL(2) ENDIF C...Subdivide baryon. ELSE NAGR=0 DO 100 J=1,3 IF(KFLR.EQ.KFL(J)) NAGR=NAGR+1 100 CONTINUE IF(NAGR.GE.1) THEN RAGR=0.00001+(NAGR-0.00002)*RLU(0) IAGR=0 DO 110 J=1,3 IF(KFLR.EQ.KFL(J)) RAGR=RAGR-1. IF(IAGR.EQ.0.AND.RAGR.LE.0.) IAGR=J 110 CONTINUE ELSE IAGR=1.00001+2.99998*RLU(0) ENDIF ID1=1 IF(IAGR.EQ.1) ID1=2 IF(IAGR.EQ.1.AND.KFL(3).GT.KFL(2)) ID1=3 ID2=6-IAGR-ID1 KSP=3 IF(MOD(KFA,10).EQ.2.AND.KFL(1).EQ.KFL(2)) THEN IF(IAGR.NE.3.AND.RLU(0).GT.0.25) KSP=1 ELSEIF(MOD(KFA,10).EQ.2.AND.KFL(2).GE.KFL(3)) THEN IF(IAGR.NE.1.AND.RLU(0).GT.0.25) KSP=1 ELSEIF(MOD(KFA,10).EQ.2) THEN IF(IAGR.EQ.1) KSP=1 IF(IAGR.NE.1.AND.RLU(0).GT.0.75) KSP=1 ENDIF KFLSP=1000*KFL(ID1)+100*KFL(ID2)+KSP IF(KFLR.EQ.21) THEN KFLCH=KFL(IAGR) ELSEIF(NAGR.EQ.0.AND.KFLR.GT.0) THEN CALL LUKFDI(-KFLR,KFL(IAGR),KFDUMP,KFLCH) ELSEIF(NAGR.EQ.0) THEN CALL LUKFDI(10000+KFLSP,-KFLR,KFDUMP,KFLCH) KFLSP=KFL(IAGR) ENDIF ENDIF C...Add on correct sign for result. KFLCH=KFLCH*KFS KFLSP=KFLSP*KFS RETURN END C********************************************************************* FUNCTION PYGAMM(X) C...Gives ordinary Gamma function Gamma(x) for positive, real arguments; C...see M. Abramowitz, I. A. Stegun: Handbook of Mathematical Functions C...(Dover, 1965) 6.1.36. DIMENSION B(8) DATA B/-0.577191652,0.988205891,-0.897056937,0.918206857, &-0.756704078,0.482199394,-0.193527818,0.035868343/ NX=INT(X) DX=X-NX PYGAMM=1. DXP=1. DO 100 I=1,8 DXP=DXP*DX PYGAMM=PYGAMM+B(I)*DXP 100 CONTINUE IF(X.LT.1.) THEN PYGAMM=PYGAMM/X ELSE DO 110 IX=1,NX-1 PYGAMM=(X-IX)*PYGAMM 110 CONTINUE ENDIF RETURN END C*********************************************************************** SUBROUTINE PYWAUX(IAUX,EPS,WRE,WIM) C...Calculates real and imaginary parts of the auxiliary functions W1 C...and W2; see R. K. Ellis, I. Hinchliffe, M. Soldate and J. J. van C...der Bij, Nucl. Phys. B297 (1988) 221. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ ASINH(X)=LOG(X+SQRT(X**2+1.)) ACOSH(X)=LOG(X+SQRT(X**2-1.)) IF(EPS.LT.0.) THEN IF(IAUX.EQ.1) WRE=2.*SQRT(1.-EPS)*ASINH(SQRT(-1./EPS)) IF(IAUX.EQ.2) WRE=4.*(ASINH(SQRT(-1./EPS)))**2 WIM=0. ELSEIF(EPS.LT.1.) THEN IF(IAUX.EQ.1) WRE=2.*SQRT(1.-EPS)*ACOSH(SQRT(1./EPS)) IF(IAUX.EQ.2) WRE=4.*(ACOSH(SQRT(1./EPS)))**2-PARU(1)**2 IF(IAUX.EQ.1) WIM=-PARU(1)*SQRT(1.-EPS) IF(IAUX.EQ.2) WIM=-4.*PARU(1)*ACOSH(SQRT(1./EPS)) ELSE IF(IAUX.EQ.1) WRE=2.*SQRT(EPS-1.)*ASIN(SQRT(1./EPS)) IF(IAUX.EQ.2) WRE=-4.*(ASIN(SQRT(1./EPS)))**2 WIM=0. ENDIF RETURN END C*********************************************************************** SUBROUTINE PYI3AU(EPS,RAT,Y3RE,Y3IM) C...Calculates real and imaginary parts of the auxiliary function I3; C...see R. K. Ellis, I. Hinchliffe, M. Soldate and J. J. van der Bij, C...Nucl. Phys. B297 (1988) 221. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ BE=0.5*(1.+SQRT(1.+RAT*EPS)) IF(EPS.LT.1.) GA=0.5*(1.+SQRT(1.-EPS)) IF(EPS.LT.0.) THEN IF(ABS(EPS).LT.1.E-4.AND.ABS(RAT*EPS).LT.1.E-4) THEN F3RE=PYSPEN(-0.25*EPS/(1.+0.25*(RAT-1.)*EPS),0.,1)- & PYSPEN((1.-0.25*EPS)/(1.+0.25*(RAT-1.)*EPS),0.,1)+ & PYSPEN(0.25*(RAT+1.)*EPS/(1.+0.25*RAT*EPS),0.,1)- & PYSPEN((RAT+1.)/RAT,0.,1)+0.5*(LOG(1.+0.25*RAT*EPS)**2- & LOG(0.25*RAT*EPS)**2)+LOG(1.-0.25*EPS)* & LOG((1.+0.25*(RAT-1.)*EPS)/(1.+0.25*RAT*EPS))+ & LOG(-0.25*EPS)*LOG(0.25*RAT*EPS/(1.+0.25*(RAT-1.)*EPS)) ELSEIF(ABS(EPS).LT.1.E-4.AND.ABS(RAT*EPS).GE.1.E-4) THEN F3RE=PYSPEN(-0.25*EPS/(BE-0.25*EPS),0.,1)- & PYSPEN((1.-0.25*EPS)/(BE-0.25*EPS),0.,1)+ & PYSPEN((BE-1.+0.25*EPS)/BE,0.,1)- & PYSPEN((BE-1.+0.25*EPS)/(BE-1.),0.,1)+ & 0.5*(LOG(BE)**2-LOG(BE-1.)**2)+ & LOG(1.-0.25*EPS)*LOG((BE-0.25*EPS)/BE)+ & LOG(-0.25*EPS)*LOG((BE-1.)/(BE-0.25*EPS)) ELSEIF(ABS(EPS).GE.1.E-4.AND.ABS(RAT*EPS).LT.1.E-4) THEN F3RE=PYSPEN((GA-1.)/(GA+0.25*RAT*EPS),0.,1)- & PYSPEN(GA/(GA+0.25*RAT*EPS),0.,1)+ & PYSPEN((1.+0.25*RAT*EPS-GA)/(1.+0.25*RAT*EPS),0.,1)- & PYSPEN((1.+0.25*RAT*EPS-GA)/(0.25*RAT*EPS),0.,1)+ & 0.5*(LOG(1.+0.25*RAT*EPS)**2-LOG(0.25*RAT*EPS)**2)+ & LOG(GA)*LOG((GA+0.25*RAT*EPS)/(1.+0.25*RAT*EPS))+ & LOG(GA-1.)*LOG(0.25*RAT*EPS/(GA+0.25*RAT*EPS)) ELSE F3RE=PYSPEN((GA-1.)/(GA+BE-1.),0.,1)- & PYSPEN(GA/(GA+BE-1.),0.,1)+PYSPEN((BE-GA)/BE,0.,1)- & PYSPEN((BE-GA)/(BE-1.),0.,1)+0.5*(LOG(BE)**2-LOG(BE-1.)**2)+ & LOG(GA)*LOG((GA+BE-1.)/BE)+LOG(GA-1.)*LOG((BE-1.)/(GA+BE-1.)) ENDIF F3IM=0. ELSEIF(EPS.LT.1.) THEN IF(ABS(EPS).LT.1.E-4.AND.ABS(RAT*EPS).LT.1.E-4) THEN F3RE=PYSPEN(-0.25*EPS/(1.+0.25*(RAT-1.)*EPS),0.,1)- & PYSPEN((1.-0.25*EPS)/(1.+0.25*(RAT-1.)*EPS),0.,1)+ & PYSPEN((1.-0.25*EPS)/(-0.25*(RAT+1.)*EPS),0.,1)- & PYSPEN(1./(RAT+1.),0.,1)+LOG((1.-0.25*EPS)/(0.25*EPS))* & LOG((1.+0.25*(RAT-1.)*EPS)/(0.25*(RAT+1.)*EPS)) F3IM=-PARU(1)*LOG((1.+0.25*(RAT-1.)*EPS)/(0.25*(RAT+1.)*EPS)) ELSEIF(ABS(EPS).LT.1.E-4.AND.ABS(RAT*EPS).GE.1.E-4) THEN F3RE=PYSPEN(-0.25*EPS/(BE-0.25*EPS),0.,1)- & PYSPEN((1.-0.25*EPS)/(BE-0.25*EPS),0.,1)+ & PYSPEN((1.-0.25*EPS)/(1.-0.25*EPS-BE),0.,1)- & PYSPEN(-0.25*EPS/(1.-0.25*EPS-BE),0.,1)+ & LOG((1.-0.25*EPS)/(0.25*EPS))* & LOG((BE-0.25*EPS)/(BE-1.+0.25*EPS)) F3IM=-PARU(1)*LOG((BE-0.25*EPS)/(BE-1.+0.25*EPS)) ELSEIF(ABS(EPS).GE.1.E-4.AND.ABS(RAT*EPS).LT.1.E-4) THEN F3RE=PYSPEN((GA-1.)/(GA+0.25*RAT*EPS),0.,1)- & PYSPEN(GA/(GA+0.25*RAT*EPS),0.,1)+ & PYSPEN(GA/(GA-1.-0.25*RAT*EPS),0.,1)- & PYSPEN((GA-1.)/(GA-1.-0.25*RAT*EPS),0.,1)+ & LOG(GA/(1.-GA))*LOG((GA+0.25*RAT*EPS)/(1.+0.25*RAT*EPS-GA)) F3IM=-PARU(1)*LOG((GA+0.25*RAT*EPS)/(1.+0.25*RAT*EPS-GA)) ELSE F3RE=PYSPEN((GA-1.)/(GA+BE-1.),0.,1)- & PYSPEN(GA/(GA+BE-1.),0.,1)+PYSPEN(GA/(GA-BE),0.,1)- & PYSPEN((GA-1.)/(GA-BE),0.,1)+LOG(GA/(1.-GA))* & LOG((GA+BE-1.)/(BE-GA)) F3IM=-PARU(1)*LOG((GA+BE-1.)/(BE-GA)) ENDIF ELSE RSQ=EPS/(EPS-1.+(2.*BE-1.)**2) RCTHE=RSQ*(1.-2.*BE/EPS) RSTHE=SQRT(MAX(0.,RSQ-RCTHE**2)) RCPHI=RSQ*(1.+2.*(BE-1.)/EPS) RSPHI=SQRT(MAX(0.,RSQ-RCPHI**2)) R=SQRT(RSQ) THE=ACOS(MAX(-0.999999,MIN(0.999999,RCTHE/R))) PHI=ACOS(MAX(-0.999999,MIN(0.999999,RCPHI/R))) F3RE=PYSPEN(RCTHE,RSTHE,1)+PYSPEN(RCTHE,-RSTHE,1)- & PYSPEN(RCPHI,RSPHI,1)-PYSPEN(RCPHI,-RSPHI,1)+ & (PHI-THE)*(PHI+THE-PARU(1)) F3IM=PYSPEN(RCTHE,RSTHE,2)+PYSPEN(RCTHE,-RSTHE,2)- & PYSPEN(RCPHI,RSPHI,2)-PYSPEN(RCPHI,-RSPHI,2) ENDIF Y3RE=2./(2.*BE-1.)*F3RE Y3IM=2./(2.*BE-1.)*F3IM RETURN END C*********************************************************************** FUNCTION PYSPEN(XREIN,XIMIN,IREIM) C...Calculates real and imaginary part of Spence function; see C...G. 't Hooft and M. Veltman, Nucl. Phys. B153 (1979) 365. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ DIMENSION B(0:14) DATA B/ & 1.000000E+00, -5.000000E-01, 1.666667E-01, & 0.000000E+00, -3.333333E-02, 0.000000E+00, & 2.380952E-02, 0.000000E+00, -3.333333E-02, & 0.000000E+00, 7.575757E-02, 0.000000E+00, &-2.531135E-01, 0.000000E+00, 1.166667E+00/ XRE=XREIN XIM=XIMIN IF(ABS(1.-XRE).LT.1.E-6.AND.ABS(XIM).LT.1.E-6) THEN IF(IREIM.EQ.1) PYSPEN=PARU(1)**2/6. IF(IREIM.EQ.2) PYSPEN=0. RETURN ENDIF XMOD=SQRT(XRE**2+XIM**2) IF(XMOD.LT.1.E-6) THEN IF(IREIM.EQ.1) PYSPEN=0. IF(IREIM.EQ.2) PYSPEN=0. RETURN ENDIF XARG=SIGN(ACOS(XRE/XMOD),XIM) SP0RE=0. SP0IM=0. SGN=1. IF(XMOD.GT.1.) THEN ALGXRE=LOG(XMOD) ALGXIM=XARG-SIGN(PARU(1),XARG) SP0RE=-PARU(1)**2/6.-(ALGXRE**2-ALGXIM**2)/2. SP0IM=-ALGXRE*ALGXIM SGN=-1. XMOD=1./XMOD XARG=-XARG XRE=XMOD*COS(XARG) XIM=XMOD*SIN(XARG) ENDIF IF(XRE.GT.0.5) THEN ALGXRE=LOG(XMOD) ALGXIM=XARG XRE=1.-XRE XIM=-XIM XMOD=SQRT(XRE**2+XIM**2) XARG=SIGN(ACOS(XRE/XMOD),XIM) ALGYRE=LOG(XMOD) ALGYIM=XARG SP0RE=SP0RE+SGN*(PARU(1)**2/6.-(ALGXRE*ALGYRE-ALGXIM*ALGYIM)) SP0IM=SP0IM-SGN*(ALGXRE*ALGYIM+ALGXIM*ALGYRE) SGN=-SGN ENDIF XRE=1.-XRE XIM=-XIM XMOD=SQRT(XRE**2+XIM**2) XARG=SIGN(ACOS(XRE/XMOD),XIM) ZRE=-LOG(XMOD) ZIM=-XARG SPRE=0. SPIM=0. SAVERE=1. SAVEIM=0. DO 100 I=0,14 IF(MAX(ABS(SAVERE),ABS(SAVEIM)).LT.1E-30) GOTO 110 TERMRE=(SAVERE*ZRE-SAVEIM*ZIM)/FLOAT(I+1) TERMIM=(SAVERE*ZIM+SAVEIM*ZRE)/FLOAT(I+1) SAVERE=TERMRE SAVEIM=TERMIM SPRE=SPRE+B(I)*TERMRE SPIM=SPIM+B(I)*TERMIM 100 CONTINUE 110 IF(IREIM.EQ.1) PYSPEN=SP0RE+SGN*SPRE IF(IREIM.EQ.2) PYSPEN=SP0IM+SGN*SPIM RETURN END C*********************************************************************** SUBROUTINE PYQQBH(WTQQBH) C...Calculates the matrix element for the processes C...g + g or q + qbar -> Q + Q~ + H (normally with Q = t). C...REDUCE output and part of the rest courtesy Z. Kunszt, see C...Z. Kunszt, Nucl. Phys. B247 (1984) 339. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/,/PYINT2/ DIMENSION PP(15,4),CLR(8,8),FM(10,10),RM(8,8),DX(8) DOT(I,J)=PP(I,4)*PP(J,4)-PP(I,1)*PP(J,1)-PP(I,2)*PP(J,2)- &PP(I,3)*PP(J,3) C...Mass parameters. WTQQBH=0. ISUB=MINT(1) SHPR=SQRT(VINT(26))*VINT(1) PQ=PMAS(KFPR(ISUB,2),1) PH=SQRT(VINT(21))*VINT(1) SPQ=PQ**2 SPH=PH**2 C...Set up outgoing kinematics: 1=t, 2=tbar, 3=H. DO 100 I=1,2 PT=SQRT(MAX(0.,VINT(197+5*I))) PP(I,1)=PT*COS(VINT(198+5*I)) PP(I,2)=PT*SIN(VINT(198+5*I)) 100 CONTINUE PP(3,1)=-PP(1,1)-PP(2,1) PP(3,2)=-PP(1,2)-PP(2,2) PMS1=SPQ+PP(1,1)**2+PP(1,2)**2 PMS2=SPQ+PP(2,1)**2+PP(2,2)**2 PMS3=SPH+PP(3,1)**2+PP(3,2)**2 PMT3=SQRT(PMS3) PP(3,3)=PMT3*SINH(VINT(211)) PP(3,4)=PMT3*COSH(VINT(211)) PMS12=(SHPR-PP(3,4))**2-PP(3,3)**2 PP(1,3)=(-PP(3,3)*(PMS12+PMS1-PMS2)+ &VINT(213)*(SHPR-PP(3,4))*SQRT(VINT(220)))/(2.*PMS12) PP(2,3)=-PP(1,3)-PP(3,3) PP(1,4)=SQRT(PMS1+PP(1,3)**2) PP(2,4)=SQRT(PMS2+PP(2,3)**2) C...Set up incoming kinematics and derived momentum combinations. DO 110 I=4,5 PP(I,1)=0. PP(I,2)=0. PP(I,3)=-0.5*SHPR*(-1)**I PP(I,4)=-0.5*SHPR 110 CONTINUE DO 120 J=1,4 PP(6,J)=PP(1,J)+PP(2,J) PP(7,J)=PP(1,J)+PP(3,J) PP(8,J)=PP(1,J)+PP(4,J) PP(9,J)=PP(1,J)+PP(5,J) PP(10,J)=-PP(2,J)-PP(3,J) PP(11,J)=-PP(2,J)-PP(4,J) PP(12,J)=-PP(2,J)-PP(5,J) PP(13,J)=-PP(4,J)-PP(5,J) 120 CONTINUE C...Derived kinematics invariants. X1=DOT(1,2) X2=DOT(1,3) X3=DOT(1,4) X4=DOT(1,5) X5=DOT(2,3) X6=DOT(2,4) X7=DOT(2,5) X8=DOT(3,4) X9=DOT(3,5) X10=DOT(4,5) C...Propagators. SS1=DOT(7,7)-SPQ SS2=DOT(8,8)-SPQ SS3=DOT(9,9)-SPQ SS4=DOT(10,10)-SPQ SS5=DOT(11,11)-SPQ SS6=DOT(12,12)-SPQ SS7=DOT(13,13) DX(1)=SS1*SS6 DX(2)=SS2*SS6 DX(3)=SS2*SS4 DX(4)=SS1*SS5 DX(5)=SS3*SS5 DX(6)=SS3*SS4 DX(7)=SS7*SS1 DX(8)=SS7*SS4 C...Define colour coefficients for g + g -> Q + Q~ + H. IF(ISUB.EQ.121) THEN DO 140 I=1,3 DO 130 J=1,3 CLR(I,J)=16./3. CLR(I+3,J+3)=16./3. CLR(I,J+3)=-2./3. CLR(I+3,J)=-2./3. 130 CONTINUE 140 CONTINUE DO 160 L=1,2 DO 150 I=1,3 CLR(I,6+L)=-6. CLR(I+3,6+L)=6. CLR(6+L,I)=-6. CLR(6+L,I+3)=6. 150 CONTINUE 160 CONTINUE DO 180 K1=1,2 DO 170 K2=1,2 CLR(6+K1,6+K2)=12. 170 CONTINUE 180 CONTINUE C...Evaluate matrix elements for g + g -> Q + Q~ + H. FM(1,1)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+2*X2+X4+X9+2* & X7+X5)+8*PQ**2*PH**2*(-X1-X4+2*X7)+16*PQ**2*(X2*X9+4*X2* & X7+X2*X5-2*X4*X7-2*X9*X7)+8*PH**2*X4*X7-16*X2*X9*X7 FM(1,2)=16*PQ**6+8*PQ**4*(-2*X1+X2-2*X3-2*X4-4*X10+X9-X8+2 & *X7-4*X6+X5)+8*PQ**2*(-2*X1*X2-2*X2*X4-2*X2*X10+X2*X7-2* & X2*X6-2*X3*X7+2*X4*X7+4*X10*X7-X9*X7-X8*X7)+16*X2*X7*(X4+ & X10) FM(1,3)=16*PQ**6-4*PQ**4*PH**2+8*PQ**4*(-2*X1+2*X2-2*X3-4* & X4-8*X10+X9+X8-2*X7-4*X6+2*X5)-(4*PQ**2*PH**2)*(X1+X4+X10 & +X6)+8*PQ**2*(-2*X1*X2-2*X1*X10+X1*X9+X1*X8-2*X1*X5+X2**2 & -4*X2*X4-5*X2*X10+X2*X8-X2*X7-3*X2*X6+X2*X5+X3*X9+2*X3*X7 & -X3*X5+X4*X8+2*X4*X6-3*X4*X5-5*X10*X5+X9*X8+X9*X6+X9*X5+ & X8*X7-4*X6*X5+X5**2)-(16*X2*X5)*(X1+X4+X10+X6) FM(1,4)=16*PQ**6+4*PQ**4*PH**2+16*PQ**4*(-X1+X2-X3-X4+X10- & X9-X8+2*X7+2*X6-X5)+4*PQ**2*PH**2*(X1+X3+X4+X10+2*X7+2*X6 & )+8*PQ**2*(4*X1*X10+4*X1*X7+4*X1*X6+2*X2*X10-X2*X9-X2*X8+ & 4*X2*X7+4*X2*X6-X2*X5+4*X10*X5+4*X7*X5+4*X6*X5)-(8*PH**2* & X1)*(X10+X7+X6)+16*X2*X5*(X10+X7+X6) FM(1,5)=8*PQ**4*(-2*X1-2*X4+X10-X9)+4*PQ**2*(4*X1**2-2*X1* & X2+8*X1*X3+6*X1*X10-2*X1*X9+4*X1*X8+4*X1*X7+4*X1*X6+2*X1* & X5+X2*X10+4*X3*X4-X3*X9+2*X3*X7+3*X4*X8-2*X4*X6+2*X4*X5-4 & *X10*X7+3*X10*X5-3*X9*X6+3*X8*X7-4*X7**2+4*X7*X5)+8*(X1** & 2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6+X1*X3*X9+X1*X3*X5-X1*X4* & X8-X1*X4*X5+X1*X10*X9+X1*X9*X7+X1*X9*X6-X1*X8*X7-X2*X3*X7 & +X2*X4*X6-X2*X10*X7-X2*X7**2+X3*X7*X5-X4*X10*X5-X4*X7*X5- & X4*X6*X5) FM(1,6)=16*PQ**4*(-4*X1-X4+X9-X7)+4*PQ**2*PH**2*(-2*X1-X4- & X7)+16*PQ**2*(-2*X1**2-3*X1*X2-2*X1*X4-3*X1*X9-2*X1*X7-3* & X1*X5-2*X2*X4-2*X7*X5)-8*PH**2*X4*X7+8*(-X1*X2*X9-2*X1*X2 & *X5-X1*X9**2-X1*X9*X5+X2**2*X7-X2*X4*X5+X2*X9*X7-X2*X7*X5 & +X4*X9*X5+X4*X5**2) FM(1,7)=8*PQ**4*(2*X3+X4+3*X10+X9+2*X8+3*X7+6*X6)+2*PQ**2* & PH**2*(-2*X3-X4+3*X10+3*X7+6*X6)+4*PQ**2*(4*X1*X10+4*X1* & X7+8*X1*X6+6*X2*X10+X2*X9+2*X2*X8+6*X2*X7+12*X2*X6-8*X3* & X7+4*X4*X7+4*X4*X6+4*X10*X5+4*X9*X7+4*X9*X6-8*X8*X7+4*X7* & X5+8*X6*X5)+4*PH**2*(-X1*X10-X1*X7-2*X1*X6+2*X3*X7-X4*X7- & X4*X6)+8*X2*(X10*X5+X9*X7+X9*X6-2*X8*X7+X7*X5+2*X6*X5) FM(1,8)=8*PQ**4*(2*X3+X4+3*X10+2*X9+X8+3*X7+6*X6)+2*PQ**2* & PH**2*(-2*X3-X4+2*X10+X7+2*X6)+4*PQ**2*(4*X1*X10-2*X1*X9+ & 2*X1*X8+4*X1*X7+8*X1*X6+5*X2*X10+2*X2*X9+X2*X8+4*X2*X7+8* & X2*X6-X3*X9-8*X3*X7+2*X3*X5+2*X4*X9-X4*X8+4*X4*X7+4*X4*X6 & +4*X4*X5+5*X10*X5+X9**2-X9*X8+2*X9*X7+5*X9*X6+X9*X5-7*X8* & X7+2*X8*X5+2*X7*X5+10*X6*X5)+2*PH**2*(-X1*X10+X3*X7-2*X4* & X7+X4*X6)+4*(-X1*X9**2+X1*X9*X8-2*X1*X9*X5-X1*X8*X5+2*X2* & X10*X5+X2*X9*X7+X2*X9*X6-2*X2*X8*X7+3*X2*X6*X5+X3*X9*X5+ & X3*X5**2+X4*X9*X5-2*X4*X8*X5+2*X4*X5**2) FM(2,2)=16*PQ**6+16*PQ**4*(-X1+X3-X4-X10+X7-X6)+16*PQ**2*( & X3*X10+X3*X7+X3*X6+X4*X7+X10*X7)-16*X3*X10*X7 FM(2,3)=16*PQ**6+8*PQ**4*(-2*X1+X2+2*X3-4*X4-4*X10-X9+X8-2 & *X7-2*X6+X5)+8*PQ**2*(-2*X1*X5+4*X3*X10-X3*X9-X3*X8-2*X3* & X7+2*X3*X6+X3*X5-2*X4*X5-2*X10*X5-2*X6*X5)+16*X3*X5*(X10+ & X6) FM(2,4)=8*PQ**4*(-2*X1-2*X3+X10-X8)+4*PQ**2*(4*X1**2-2*X1* & X2+8*X1*X4+6*X1*X10+4*X1*X9-2*X1*X8+4*X1*X7+4*X1*X6+2*X1* & X5+X2*X10+4*X3*X4+3*X3*X9-2*X3*X7+2*X3*X5-X4*X8+2*X4*X6-4 & *X10*X6+3*X10*X5+3*X9*X6-3*X8*X7-4*X6**2+4*X6*X5)+8*(-X1 & **2*X9+X1**2*X8+X1*X2*X7-X1*X2*X6-X1*X3*X9-X1*X3*X5+X1*X4 & *X8+X1*X4*X5+X1*X10*X8-X1*X9*X6+X1*X8*X7+X1*X8*X6+X2*X3* & X7-X2*X4*X6-X2*X10*X6-X2*X6**2-X3*X10*X5-X3*X7*X5-X3*X6* & X5+X4*X6*X5) FM(2,5)=16*PQ**4*X10+8*PQ**2*(2*X1**2+2*X1*X3+2*X1*X4+2*X1 & *X10+2*X1*X7+2*X1*X6+X3*X7+X4*X6)+8*(-2*X1**3-2*X1**2*X3- & 2*X1**2*X4-2*X1**2*X10-2*X1**2*X7-2*X1**2*X6-2*X1*X3*X4- & X1*X3*X10-2*X1*X3*X6-X1*X4*X10-2*X1*X4*X7-X1*X10**2-X1* & X10*X7-X1*X10*X6-2*X1*X7*X6+X3**2*X7-X3*X4*X7-X3*X4*X6+X3 & *X10*X7+X3*X7**2-X3*X7*X6+X4**2*X6+X4*X10*X6-X4*X7*X6+X4* & X6**2) FM(2,6)=8*PQ**4*(-2*X1+X10-X9-2*X7)+4*PQ**2*(4*X1**2+2*X1* & X2+4*X1*X3+4*X1*X4+6*X1*X10-2*X1*X9+4*X1*X8+8*X1*X6-2*X1* & X5+4*X2*X4+3*X2*X10+2*X2*X7-3*X3*X9-2*X3*X7-4*X4**2-4*X4* & X10+3*X4*X8+2*X4*X6+X10*X5-X9*X6+3*X8*X7+4*X7*X6)+8*(X1** & 2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6+X1*X3*X9+X1*X3*X5+X1*X4* & X9-X1*X4*X8-X1*X4*X5+X1*X10*X9+X1*X9*X6-X1*X8*X7-X2*X3*X7 & -X2*X4*X7+X2*X4*X6-X2*X10*X7+X3*X7*X5-X4**2*X5-X4*X10*X5- & X4*X6*X5) FM(2,7)=8*PQ**4*(X3+2*X4+3*X10+X7+2*X6)+4*PQ**2*(-4*X1*X3- & 2*X1*X4-2*X1*X10+X1*X9-X1*X8-4*X1*X7-2*X1*X6+X2*X3+2*X2* & X4+3*X2*X10+X2*X7+2*X2*X6-6*X3*X4-6*X3*X10-2*X3*X9-2*X3* & X7-4*X3*X6-X3*X5-6*X4**2-6*X4*X10-3*X4*X9-X4*X8-4*X4*X7-2 & *X4*X6-2*X4*X5-3*X10*X9-3*X10*X8-6*X10*X7-6*X10*X6+X10*X5 & +X9*X7-2*X8*X7-2*X8*X6-6*X7*X6+X7*X5-6*X6**2+2*X6*X5)+4*( & -X1**2*X9+X1**2*X8-2*X1*X2*X10-3*X1*X2*X7-3*X1*X2*X6+X1* & X3*X9-X1*X3*X5+X1*X4*X9+X1*X4*X8+X1*X4*X5+X1*X10*X9+X1* & X10*X8-X1*X9*X6+X1*X8*X6+X2*X3*X7-3*X2*X4*X7-X2*X4*X6-3* & X2*X10*X7-3*X2*X10*X6-3*X2*X7*X6-3*X2*X6**2-2*X3*X4*X5-X3 & *X10*X5-X3*X6*X5-X4**2*X5-X4*X10*X5+X4*X6*X5) FM(2,8)=8*PQ**4*(X3+2*X4+3*X10+X7+2*X6)+4*PQ**2*(-4*X1*X3- & 2*X1*X4-2*X1*X10-X1*X9+X1*X8-4*X1*X7-2*X1*X6+X2*X3+2*X2* & X4+X2*X10-X2*X7-2*X2*X6-6*X3*X4-6*X3*X10-2*X3*X9+X3*X8-2* & X3*X7-4*X3*X6+X3*X5-6*X4**2-6*X4*X10-2*X4*X9-4*X4*X7-2*X4 & *X6+2*X4*X5-3*X10*X9-3*X10*X8-6*X10*X7-6*X10*X6+3*X10*X5- & X9*X6-2*X8*X7-3*X8*X6-6*X7*X6+X7*X5-6*X6**2+2*X6*X5)+4*( & X1**2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6-3*X1*X3*X5+X1*X4*X9- & X1*X4*X8-3*X1*X4*X5+X1*X10*X9+X1*X10*X8-2*X1*X10*X5+X1*X9 & *X6+X1*X8*X7+X1*X8*X6-X2*X4*X7+X2*X4*X6-X2*X10*X7-X2*X10* & X6-2*X2*X7*X6-X2*X6**2-3*X3*X4*X5-3*X3*X10*X5+X3*X7*X5-3* & X3*X6*X5-3*X4**2*X5-3*X4*X10*X5-X4*X6*X5) FM(3,3)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+X2+2*X3+X8+X6 & +2*X5)+8*PQ**2*PH**2*(-X1+2*X3-X6)+16*PQ**2*(X2*X5-2*X3* & X8-2*X3*X6+4*X3*X5+X8*X5)+8*PH**2*X3*X6-16*X3*X8*X5 FM(3,4)=16*PQ**4*(-4*X1-X3+X8-X6)+4*PQ**2*PH**2*(-2*X1-X3- & X6)+16*PQ**2*(-2*X1**2-3*X1*X2-2*X1*X3-3*X1*X8-2*X1*X6-3* & X1*X5-2*X2*X3-2*X6*X5)-8*PH**2*X3*X6+8*(-X1*X2*X8-2*X1*X2 & *X5-X1*X8**2-X1*X8*X5+X2**2*X6-X2*X3*X5+X2*X8*X6-X2*X6*X5 & +X3*X8*X5+X3*X5**2) FM(3,5)=8*PQ**4*(-2*X1+X10-X8-2*X6)+4*PQ**2*(4*X1**2+2*X1* & X2+4*X1*X3+4*X1*X4+6*X1*X10+4*X1*X9-2*X1*X8+8*X1*X7-2*X1* & X5+4*X2*X3+3*X2*X10+2*X2*X6-4*X3**2-4*X3*X10+3*X3*X9+2*X3 & *X7-3*X4*X8-2*X4*X6+X10*X5+3*X9*X6-X8*X7+4*X7*X6)+8*(-X1 & **2*X9+X1**2*X8+X1*X2*X7-X1*X2*X6-X1*X3*X9+X1*X3*X8-X1*X3 & *X5+X1*X4*X8+X1*X4*X5+X1*X10*X8-X1*X9*X6+X1*X8*X7+X2*X3* & X7-X2*X3*X6-X2*X4*X6-X2*X10*X6-X3**2*X5-X3*X10*X5-X3*X7* & X5+X4*X6*X5) FM(3,6)=16*PQ**6+4*PQ**4*PH**2+16*PQ**4*(-X1-X2+2*X3+2*X4+ & X10-X9-X8-X7-X6+X5)+4*PQ**2*PH**2*(X1+2*X3+2*X4+X10+X7+X6 & )+8*PQ**2*(4*X1*X3+4*X1*X4+4*X1*X10+4*X2*X3+4*X2*X4+4*X2* & X10-X2*X5+4*X3*X5+4*X4*X5+2*X10*X5-X9*X5-X8*X5)-(8*PH**2* & X1)*(X3+X4+X10)+16*X2*X5*(X3+X4+X10) FM(3,7)=8*PQ**4*(3*X3+6*X4+3*X10+X9+2*X8+2*X7+X6)+2*PQ**2* & PH**2*(X3+2*X4+2*X10-2*X7-X6)+4*PQ**2*(4*X1*X3+8*X1*X4+4* & X1*X10+2*X1*X9-2*X1*X8+2*X2*X3+10*X2*X4+5*X2*X10+2*X2*X9+ & X2*X8+2*X2*X7+4*X2*X6-7*X3*X9+2*X3*X8-8*X3*X7+4*X3*X6+4* & X3*X5+5*X4*X8+4*X4*X6+8*X4*X5+5*X10*X5-X9*X8-X9*X6+X9*X5+ & X8**2-X8*X7+2*X8*X6+2*X8*X5)+2*PH**2*(-X1*X10+X3*X7-2*X3* & X6+X4*X6)+4*(-X1*X2*X9-2*X1*X2*X8+X1*X9*X8-X1*X8**2+X2**2 & *X7+2*X2**2*X6+3*X2*X4*X5+2*X2*X10*X5-2*X2*X9*X6+X2*X8*X7 & +X2*X8*X6-2*X3*X9*X5+X3*X8*X5+X4*X8*X5) FM(3,8)=8*PQ**4*(3*X3+6*X4+3*X10+2*X9+X8+2*X7+X6)+2*PQ**2* & PH**2*(3*X3+6*X4+3*X10-2*X7-X6)+4*PQ**2*(4*X1*X3+8*X1*X4+ & 4*X1*X10+4*X2*X3+8*X2*X4+4*X2*X10-8*X3*X9+4*X3*X8-8*X3*X7 & +4*X3*X6+6*X3*X5+4*X4*X8+4*X4*X6+12*X4*X5+6*X10*X5+2*X9* & X5+X8*X5)+4*PH**2*(-X1*X3-2*X1*X4-X1*X10+2*X3*X7-X3*X6-X4 & *X6)+8*X5*(X2*X3+2*X2*X4+X2*X10-2*X3*X9+X3*X8+X4*X8) FM(4,4)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+2*X2+X3+X8+2* & X6+X5)+8*PQ**2*PH**2*(-X1-X3+2*X6)+16*PQ**2*(X2*X8+4*X2* & X6+X2*X5-2*X3*X6-2*X8*X6)+8*PH**2*X3*X6-16*X2*X8*X6 FM(4,5)=16*PQ**6+8*PQ**4*(-2*X1+X2-2*X3-2*X4-4*X10-X9+X8-4 & *X7+2*X6+X5)+8*PQ**2*(-2*X1*X2-2*X2*X3-2*X2*X10-2*X2*X7+ & X2*X6+2*X3*X6-2*X4*X6+4*X10*X6-X9*X6-X8*X6)+16*X2*X6*(X3+ & X10) FM(4,6)=16*PQ**6-4*PQ**4*PH**2+8*PQ**4*(-2*X1+2*X2-4*X3-2* & X4-8*X10+X9+X8-4*X7-2*X6+2*X5)-(4*PQ**2*PH**2)*(X1+X3+X10 & +X7)+8*PQ**2*(-2*X1*X2-2*X1*X10+X1*X9+X1*X8-2*X1*X5+X2**2 & -4*X2*X3-5*X2*X10+X2*X9-3*X2*X7-X2*X6+X2*X5+X3*X9+2*X3*X7 & -3*X3*X5+X4*X8+2*X4*X6-X4*X5-5*X10*X5+X9*X8+X9*X6+X8*X7+ & X8*X5-4*X7*X5+X5**2)-(16*X2*X5)*(X1+X3+X10+X7) FM(4,7)=8*PQ**4*(-X3-2*X4-3*X10-2*X9-X8-6*X7-3*X6)+2*PQ**2 & *PH**2*(X3+2*X4-3*X10-6*X7-3*X6)+4*PQ**2*(-4*X1*X10-8*X1* & X7-4*X1*X6-6*X2*X10-2*X2*X9-X2*X8-12*X2*X7-6*X2*X6-4*X3* & X7-4*X3*X6+8*X4*X6-4*X10*X5+8*X9*X6-4*X8*X7-4*X8*X6-8*X7* & X5-4*X6*X5)+4*PH**2*(X1*X10+2*X1*X7+X1*X6+X3*X7+X3*X6-2* & X4*X6)+8*X2*(-X10*X5+2*X9*X6-X8*X7-X8*X6-2*X7*X5-X6*X5) FM(4,8)=8*PQ**4*(-X3-2*X4-3*X10-X9-2*X8-6*X7-3*X6)+2*PQ**2 & *PH**2*(X3+2*X4-2*X10-2*X7-X6)+4*PQ**2*(-4*X1*X10-2*X1*X9 & +2*X1*X8-8*X1*X7-4*X1*X6-5*X2*X10-X2*X9-2*X2*X8-8*X2*X7-4 & *X2*X6+X3*X9-2*X3*X8-4*X3*X7-4*X3*X6-4*X3*X5+X4*X8+8*X4* & X6-2*X4*X5-5*X10*X5+X9*X8+7*X9*X6-2*X9*X5-X8**2-5*X8*X7-2 & *X8*X6-X8*X5-10*X7*X5-2*X6*X5)+2*PH**2*(X1*X10-X3*X7+2*X3 & *X6-X4*X6)+4*(-X1*X9*X8+X1*X9*X5+X1*X8**2+2*X1*X8*X5-2*X2 & *X10*X5+2*X2*X9*X6-X2*X8*X7-X2*X8*X6-3*X2*X7*X5+2*X3*X9* & X5-X3*X8*X5-2*X3*X5**2-X4*X8*X5-X4*X5**2) FM(5,5)=16*PQ**6+16*PQ**4*(-X1-X3+X4-X10-X7+X6)+16*PQ**2*( & X3*X6+X4*X10+X4*X7+X4*X6+X10*X6)-16*X4*X10*X6 FM(5,6)=16*PQ**6+8*PQ**4*(-2*X1+X2-4*X3+2*X4-4*X10+X9-X8-2 & *X7-2*X6+X5)+8*PQ**2*(-2*X1*X5-2*X3*X5+4*X4*X10-X4*X9-X4* & X8+2*X4*X7-2*X4*X6+X4*X5-2*X10*X5-2*X7*X5)+16*X4*X5*(X10+ & X7) FM(5,7)=8*PQ**4*(-2*X3-X4-3*X10-2*X7-X6)+4*PQ**2*(2*X1*X3+ & 4*X1*X4+2*X1*X10+X1*X9-X1*X8+2*X1*X7+4*X1*X6-2*X2*X3-X2* & X4-3*X2*X10-2*X2*X7-X2*X6+6*X3**2+6*X3*X4+6*X3*X10+X3*X9+ & 3*X3*X8+2*X3*X7+4*X3*X6+2*X3*X5+6*X4*X10+2*X4*X8+4*X4*X7+ & 2*X4*X6+X4*X5+3*X10*X9+3*X10*X8+6*X10*X7+6*X10*X6-X10*X5+ & 2*X9*X7+2*X9*X6-X8*X6+6*X7**2+6*X7*X6-2*X7*X5-X6*X5)+4*(- & X1**2*X9+X1**2*X8+2*X1*X2*X10+3*X1*X2*X7+3*X1*X2*X6-X1*X3 & *X9-X1*X3*X8-X1*X3*X5-X1*X4*X8+X1*X4*X5-X1*X10*X9-X1*X10* & X8-X1*X9*X7+X1*X8*X7+X2*X3*X7+3*X2*X3*X6-X2*X4*X6+3*X2* & X10*X7+3*X2*X10*X6+3*X2*X7**2+3*X2*X7*X6+X3**2*X5+2*X3*X4 & *X5+X3*X10*X5-X3*X7*X5+X4*X10*X5+X4*X7*X5) FM(5,8)=8*PQ**4*(-2*X3-X4-3*X10-2*X7-X6)+4*PQ**2*(2*X1*X3+ & 4*X1*X4+2*X1*X10-X1*X9+X1*X8+2*X1*X7+4*X1*X6-2*X2*X3-X2* & X4-X2*X10+2*X2*X7+X2*X6+6*X3**2+6*X3*X4+6*X3*X10+2*X3*X8+ & 2*X3*X7+4*X3*X6-2*X3*X5+6*X4*X10-X4*X9+2*X4*X8+4*X4*X7+2* & X4*X6-X4*X5+3*X10*X9+3*X10*X8+6*X10*X7+6*X10*X6-3*X10*X5+ & 3*X9*X7+2*X9*X6+X8*X7+6*X7**2+6*X7*X6-2*X7*X5-X6*X5)+4*( & X1**2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6+X1*X3*X9-X1*X3*X8+3* & X1*X3*X5+3*X1*X4*X5-X1*X10*X9-X1*X10*X8+2*X1*X10*X5-X1*X9 & *X7-X1*X9*X6-X1*X8*X7-X2*X3*X7+X2*X3*X6+X2*X10*X7+X2*X10* & X6+X2*X7**2+2*X2*X7*X6+3*X3**2*X5+3*X3*X4*X5+3*X3*X10*X5+ & X3*X7*X5+3*X4*X10*X5+3*X4*X7*X5-X4*X6*X5) FM(6,6)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+X2+2*X4+X9+X7 & +2*X5)+8*PQ**2*PH**2*(-X1+2*X4-X7)+16*PQ**2*(X2*X5-2*X4* & X9-2*X4*X7+4*X4*X5+X9*X5)+8*PH**2*X4*X7-16*X4*X9*X5 FM(6,7)=8*PQ**4*(-6*X3-3*X4-3*X10-2*X9-X8-X7-2*X6)+2*PQ**2 & *PH**2*(-2*X3-X4-2*X10+X7+2*X6)+4*PQ**2*(-8*X1*X3-4*X1*X4 & -4*X1*X10+2*X1*X9-2*X1*X8-10*X2*X3-2*X2*X4-5*X2*X10-X2*X9 & -2*X2*X8-4*X2*X7-2*X2*X6-5*X3*X9-4*X3*X7-8*X3*X5-2*X4*X9+ & 7*X4*X8-4*X4*X7+8*X4*X6-4*X4*X5-5*X10*X5-X9**2+X9*X8-2*X9 & *X7+X9*X6-2*X9*X5+X8*X7-X8*X5)+2*PH**2*(X1*X10-X3*X7+2*X4 & *X7-X4*X6)+4*(2*X1*X2*X9+X1*X2*X8+X1*X9**2-X1*X9*X8-2*X2 & **2*X7-X2**2*X6-3*X2*X3*X5-2*X2*X10*X5-X2*X9*X7-X2*X9*X6+ & 2*X2*X8*X7-X3*X9*X5-X4*X9*X5+2*X4*X8*X5) FM(6,8)=8*PQ**4*(-6*X3-3*X4-3*X10-X9-2*X8-X7-2*X6)+2*PQ**2 & *PH**2*(-6*X3-3*X4-3*X10+X7+2*X6)+4*PQ**2*(-8*X1*X3-4*X1* & X4-4*X1*X10-8*X2*X3-4*X2*X4-4*X2*X10-4*X3*X9-4*X3*X7-12* & X3*X5-4*X4*X9+8*X4*X8-4*X4*X7+8*X4*X6-6*X4*X5-6*X10*X5-X9 & *X5-2*X8*X5)+4*PH**2*(2*X1*X3+X1*X4+X1*X10+X3*X7+X4*X7-2* & X4*X6)+8*X5*(-2*X2*X3-X2*X4-X2*X10-X3*X9-X4*X9+2*X4*X8) FM(7,7)=72*PQ**4*X10+18*PQ**2*PH**2*X10+8*PQ**2*(X1*X10+9* & X2*X10+7*X3*X7+2*X3*X6+2*X4*X7+7*X4*X6+X10*X5+2*X9*X7+7* & X9*X6+7*X8*X7+2*X8*X6)+2*PH**2*(-X1*X10-7*X3*X7-2*X3*X6-2 & *X4*X7-7*X4*X6)+4*X2*(X10*X5+2*X9*X7+7*X9*X6+7*X8*X7+2*X8 & *X6) FM(7,8)=72*PQ**4*X10+2*PQ**2*PH**2*X10+4*PQ**2*(2*X1*X10+ & 10*X2*X10+7*X3*X9+2*X3*X8+14*X3*X7+4*X3*X6+2*X4*X9+7*X4* & X8+4*X4*X7+14*X4*X6+10*X10*X5+X9**2+7*X9*X8+2*X9*X7+7*X9* & X6+X8**2+7*X8*X7+2*X8*X6)+2*PH**2*(7*X1*X10-7*X3*X7-2*X3* & X6-2*X4*X7-7*X4*X6)+2*(-2*X1*X9**2-14*X1*X9*X8-2*X1*X8**2 & +2*X2*X10*X5+2*X2*X9*X7+7*X2*X9*X6+7*X2*X8*X7+2*X2*X8*X6+ & 7*X3*X9*X5+2*X3*X8*X5+2*X4*X9*X5+7*X4*X8*X5) FM(8,8)=72*PQ**4*X10+18*PQ**2*PH**2*X10+8*PQ**2*(X1*X10+X2 & *X10+7*X3*X9+2*X3*X8+7*X3*X7+2*X3*X6+2*X4*X9+7*X4*X8+2*X4 & *X7+7*X4*X6+9*X10*X5)+2*PH**2*(-X1*X10-7*X3*X7-2*X3*X6-2* & X4*X7-7*X4*X6)+4*X5*(X2*X10+7*X3*X9+2*X3*X8+2*X4*X9+7*X4* & X8) FM(9,9)=-4*PQ**4*X10-PQ**2*PH**2*X10+4*PQ**2*(-X1*X10-X2*X10+ & X3*X7+X4*X6-X10*X5+X9*X6+X8*X7)+PH**2*(X1*X10-X3*X7-X4*X6 & )+2*X2*(-X10*X5+X9*X6+X8*X7) FM(9,10)=-4*PQ**4*X10-PQ**2*PH**2*X10+2*PQ**2*(-2*X1*X10-2*X2* & X10+2*X3*X9+2*X3*X7+2*X4*X6-2*X10*X5+X9*X8+2*X8*X7)+PH**2 & *(X1*X10-X3*X7-X4*X6)+2*(-X1*X9*X8-X2*X10*X5+X2*X8*X7+X3* & X9*X5) FMXX=-4*PQ**4*X10-PQ**2*PH**2*X10+2*PQ**2*(-2*X1*X10-2*X2* & X10+2*X4*X8+2*X4*X6+2*X3*X7-2*X10*X5+X9*X8+2*X9*X6)+PH**2 & *(X1*X10-X3*X7-X4*X6)+2*(-X1*X9*X8-X2*X10*X5+X2*X9*X6+X4* & X8*X5) FM(9,10)=0.5*(FMXX+FM(9,10)) FM(10,10)=-4*PQ**4*X10-PQ**2*PH**2*X10+4*PQ**2*(-X1*X10-X2*X10+ & X3*X7+X4*X6-X10*X5+X9*X3+X8*X4)+PH**2*(X1*X10-X3*X7-X4*X6 & )+2*X5*(-X10*X2+X9*X3+X8*X4) C...Repackage matrix elements. DO 200 I=1,8 DO 190 J=1,8 RM(I,J)=FM(I,J) 190 CONTINUE 200 CONTINUE RM(7,7)=FM(7,7)-2.*FM(9,9) RM(7,8)=FM(7,8)-2.*FM(9,10) RM(8,8)=FM(8,8)-2.*FM(10,10) C...Produce final result: matrix elements * colours * propagators. DO 220 I=1,8 DO 210 J=I,8 FAC=8. IF(I.EQ.J)FAC=4. WTQQBH=WTQQBH+RM(I,J)*FAC*CLR(I,J)/(DX(I)*DX(J)) 210 CONTINUE 220 CONTINUE WTQQBH=-WTQQBH/256. ELSE C...Evaluate matrix elements for q + q~ -> Q + Q~ + H. A11=-8.*PQ**4*X10-2.*PQ**2*PH**2*X10-(8.*PQ**2)*(X2*X10+X3 & *X7+X4*X6+X9*X6+X8*X7)+2.*PH**2*(X3*X7+X4*X6)-(4.*X2)*(X9 & *X6+X8*X7) A12=-8.*PQ**4*X10+4.*PQ**2*(-X2*X10-X3*X9-2.*X3*X7-X4*X8- & 2.*X4*X6-X10*X5-X9*X8-X9*X6-X8*X7)+2.*PH**2*(-X1*X10+X3*X7 & +X4*X6)+2.*(2.*X1*X9*X8-X2*X9*X6-X2*X8*X7-X3*X9*X5-X4*X8* & X5) A22=-8.*PQ**4*X10-2.*PQ**2*PH**2*X10-(8.*PQ**2)*(X3*X9+X3* & X7+X4*X8+X4*X6+X10*X5)+2.*PH**2*(X3*X7+X4*X6)-(4.*X5)*(X3 & *X9+X4*X8) C...Produce final result: matrix elements * propagators. A11=A11/DX(7)**2 A12=A12/(DX(7)*DX(8)) A22=A22/DX(8)**2 WTQQBH=-(A11+A22+2.*A12)/8. ENDIF RETURN END C*********************************************************************** SUBROUTINE PYTEST(MTEST) C...Purpose: to provide a simple program (disguised as a subroutine) to C...run at installation as a check that the program works as intended. COMMON/LUJETS/N,K(4000,5),P(4000,5),V(4000,5) COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/LUDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5) COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/ C...Common initial values. Loop over initiating conditions. MSTP(122)=MAX(0,MIN(2,MTEST)) MDCY(LUCOMP(111),1)=0 NERR=0 DO 130 IPROC=1,8 C...Reset process type, kinematics cuts, and the flags used. MSEL=0 DO 100 ISUB=1,200 MSUB(ISUB)=0 100 CONTINUE CKIN(1)=2. CKIN(3)=0. MSTP(2)=1 MSTP(11)=0 MSTP(33)=0 MSTP(81)=1 MSTP(82)=1 MSTP(111)=1 MSTP(131)=0 MSTP(133)=0 PARP(131)=0.01 C...Prompt photon production at fixed target. IF(IPROC.EQ.1) THEN PZSUM=300. PESUM=SQRT(PZSUM**2+ULMASS(211)**2)+ULMASS(2212) PQSUM=2. MSEL=10 CKIN(3)=5. CALL PYINIT('FIXT','pi+','p',PZSUM) C...QCD processes at ISR energies. ELSEIF(IPROC.EQ.2) THEN PESUM=63. PZSUM=0. PQSUM=2. MSEL=1 CKIN(3)=5. CALL PYINIT('CMS','p','p',PESUM) C...W production + multiple interactions at CERN Collider. ELSEIF(IPROC.EQ.3) THEN PESUM=630. PZSUM=0. PQSUM=0. MSEL=12 CKIN(1)=20. MSTP(82)=4 MSTP(2)=2 MSTP(33)=3 CALL PYINIT('CMS','p','pbar',PESUM) C...W/Z gauge boson pairs + pileup events at the Tevatron. ELSEIF(IPROC.EQ.4) THEN PESUM=1800. PZSUM=0. PQSUM=0. MSUB(22)=1 MSUB(23)=1 MSUB(25)=1 CKIN(1)=200. MSTP(111)=0 MSTP(131)=1 MSTP(133)=2 PARP(131)=0.04 CALL PYINIT('CMS','p','pbar',PESUM) C...Higgs production at LHC. ELSEIF(IPROC.EQ.5) THEN PESUM=15400. PZSUM=0. PQSUM=2. MSUB(3)=1 MSUB(102)=1 MSUB(123)=1 MSUB(124)=1 PMAS(25,1)=300. CKIN(1)=200. MSTP(81)=0 MSTP(111)=0 CALL PYINIT('CMS','p','p',PESUM) C...Z' production at SSC. ELSEIF(IPROC.EQ.6) THEN PESUM=40000. PZSUM=0. PQSUM=2. MSEL=21 PMAS(32,1)=600. CKIN(1)=400. MSTP(81)=0 MSTP(111)=0 CALL PYINIT('CMS','p','p',PESUM) C...W pair production at 1 TeV e+e- collider. ELSEIF(IPROC.EQ.7) THEN PESUM=1000. PZSUM=0. PQSUM=0. MSUB(25)=1 MSUB(69)=1 MSTP(11)=1 CALL PYINIT('CMS','e+','e-',PESUM) C...Deep inelastic scattering at a LEP+LHC ep collider. ELSEIF(IPROC.EQ.8) THEN P(1,1)=0. P(1,2)=0. P(1,3)=8000. P(2,1)=0. P(2,2)=0. P(2,3)=-80. PESUM=8080. PZSUM=7920. PQSUM=0. MSUB(10)=1 CKIN(3)=50. MSTP(111)=0 CALL PYINIT('USER','p','e-',PESUM) ENDIF C...Generate 20 events of each required type. DO 120 IEV=1,20 CALL PYEVNT PESUMM=PESUM IF(IPROC.EQ.4) PESUMM=MSTI(41)*PESUM C...Check conservation of energy/momentum/flavour. MERR=0 DEVE=ABS(PLU(0,4)-PESUMM)+ABS(PLU(0,3)-PZSUM) DEVT=ABS(PLU(0,1))+ABS(PLU(0,2)) DEVQ=ABS(PLU(0,6)-PQSUM) IF(DEVE.GT.2E-3*PESUM.OR.DEVT.GT.MAX(0.01,1E-4*PESUM).OR. &DEVQ.GT.0.1) MERR=1 IF(MERR.NE.0) WRITE(MSTU(11),5000) IPROC,IEV C...Check that all KF codes are known ones, and that partons/particles C...satisfy energy-momentum-mass relation. DO 110 I=1,N IF(K(I,1).GT.20) GOTO 110 IF(LUCOMP(K(I,2)).EQ.0) THEN WRITE(MSTU(11),5100) I MERR=MERR+1 ENDIF PD=P(I,4)**2-P(I,1)**2-P(I,2)**2-P(I,3)**2-P(I,5)**2* &SIGN(1.,P(I,5)) IF(ABS(PD).GT.MAX(0.1,0.002*P(I,4)**2,0.002*P(I,5)**2).OR. &(P(I,5).GE.0..AND.P(I,4).LT.0.)) THEN WRITE(MSTU(11),5200) I MERR=MERR+1 ENDIF 110 CONTINUE C...Listing of erroneous events, and first event of each type. IF(MERR.GE.1) NERR=NERR+1 IF(NERR.GE.10) THEN WRITE(MSTU(11),5300) CALL LULIST(1) STOP ENDIF IF(MTEST.GE.1.AND.(MERR.GE.1.OR.IEV.EQ.1)) THEN IF(MERR.GE.1) WRITE(MSTU(11),5400) CALL LULIST(1) ENDIF 120 CONTINUE C...List statistics for each process type. IF(MTEST.GE.1) CALL PYSTAT(1) 130 CONTINUE C...Summarize result of run. IF(NERR.EQ.0) WRITE(MSTU(11),5500) IF(NERR.GT.0) WRITE(MSTU(11),5600) NERR RETURN C...Formats for information. 5000 FORMAT(/5X,'Energy/momentum/flavour nonconservation for process', &I2,', event',I4) 5100 FORMAT(/5X,'Entry no.',I4,' in following event not known code') 5200 FORMAT(/5X,'Entry no.',I4,' in following event has faulty ', &'kinematics') 5300 FORMAT(/5X,'This is the tenth error experienced! Something is ', &'wrong.'/5X,'Execution will be stopped after listing of event.') 5400 FORMAT(5X,'Faulty event follows:') 5500 FORMAT(//5X,'End result of PYTEST: no errors detected.') 5600 FORMAT(//5X,'End result of PYTEST:',I2,' errors detected.'/ &5X,'This should not have happened!') END C********************************************************************* BLOCK DATA PYDATA C...Give sensible default values to all status codes and parameters. COMMON/PYSUBS/MSEL,MSUB(200),KFIN(2,-40:40),CKIN(200) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000) COMMON/PYINT4/WIDP(21:40,0:40),WIDE(21:40,0:40),WIDS(21:40,3) COMMON/PYINT5/NGEN(0:200,3),XSEC(0:200,3) COMMON/PYINT6/PROC(0:200) CHARACTER PROC*28 COMMON/PYINT7/SIGT(0:6,0:6,0:5) SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYINT6/,/PYINT7/ C...Default values for allowed processes and kinematics constraints. DATA MSEL/1/ DATA MSUB/200*0/ DATA ((KFIN(I,J),J=-40,40),I=1,2)/16*0,4*1,4*0,6*1,5*0,5*1,0, &5*1,5*0,6*1,4*0,4*1,16*0,16*0,4*1,4*0,6*1,5*0,5*1,0,5*1,5*0, &6*1,4*0,4*1,16*0/ DATA CKIN/ & 2.0, -1.0, 0.0, -1.0, 1.0, 1.0, -10., 10., -10., 10., 1 -10., 10., -10., 10., -10., 10., -1.0, 1.0, -1.0, 1.0, 2 0.0, 1.0, 0.0, 1.0, -1.0, 1.0, -1.0, 1.0, 0., 0., 3 2.0, -1.0, 0., 0., 0.0, -1.0, 0.0, -1.0, 0., 0., 4 12.0, -1.0, 12.0, -1.0, 12.0, -1.0, 12.0, -1.0, 0., 0., 5 0.0, -1.0, 0.0, -1.0, 0.0, -1.0, 0., 0., 0., 0., 6 140*0./ C...Default values for main switches and parameters. Reset information. DATA (MSTP(I),I=1,100)/ & 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 3 1, 2, 0, 1, 0, 2, 1, 5, 0, 0, 4 1, 1, 3, 7, 3, 1, 1, 2, 2, 0, 5 9, 1, 1, 1, 1, 1, 1, 6, 0, 0, 6 1, 3, 2, 2, 1, 1, 2, 0, 0, 0, 7 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 1, 1, 100, 0, 0, 0, 0, 0, 0, 0, 9 1, 4, 1, 0, 0, 0, 0, 0, 0, 0/ DATA (MSTP(I),I=101,200)/ & 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2 0, 1, 2, 1, 1, 20, 0, 0, 10, 0, 3 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, 4 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8 5, 700, 1993, 12, 13, 400, 0, 0, 0, 0, 9 0, 0, 0, 0, 0, 0, 0, 0, 0, 0/ DATA (PARP(I),I=1,100)/ & 0.25, 10., 0., 0., 0., 0., 0., 0., 0., 0., 1 0., 0., 1.0, 0.01, 0.5, 1.0, 0., 0., 0., 0., 2 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 3 1.5, 2.0, 0.075, 0., 0.2, 0., 2.0, 0.70, 0.006, 0., 4 0.02, 2.0, 0.10, 1000., 2054., 123., 246., 0., 0., 0., 5 1.0, 0., 0., 0., 0., 0., 0., 0., 0., 0., 6 0.25, 1.0, 0.25, 1.0, 2.0, 1E-3, 4.0, 1E-3, 0., 0., 7 4.0, 0., 0., 0., 0., 0., 0., 0., 0., 0., 8 1.40, 1.55, 0.5, 0.2, 0.33, 0.66, 0.7, 0.5, 0., 0., 9 0.44, 0.20, 2.0, 1.0, 0., 3.0, 1.0, 0.75, 0.44, 2.0/ DATA (PARP(I),I=101,200)/ & 0.5, 0.28, 1.0, 0., 0., 0., 0., 0., 0., 0., 1 2.0, 0., 0., 0., 0., 0., 0., 0., 0., 0., 2 1.0, 0.4, 0., 0., 0., 0., 0., 0., 0., 0., 3 0.01, 0., 0., 0., 0., 0., 0., 0., 0., 0., 4 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 5 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 6 2.20, 23.6, 18.4, 11.5, 0., 0., 0., 0., 0., 0., 7 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 8 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 9 0., 0., 0., 0., 0., 0., 0., 0., 0., 0./ DATA MSTI/200*0/ DATA PARI/200*0./ DATA MINT/400*0/ DATA VINT/400*0./ C...Constants for the generation of the various processes. DATA (ISET(I),I=1,100)/ & 1, 1, 1, -1, 3, -1, -1, 3, -2, 2, 1 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2 -1, 2, 2, 2, 2, 2, -1, 2, 2, 2, 3 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 4 -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 5 -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 6 -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 7 4, 4, 4, -1, -1, 4, 4, -1, -1, 2, 8 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 9 0, 0, 0, 0, 0, 9, -2, -2, -2, -2/ DATA (ISET(I),I=101,200)/ & -1, 1, 1, -2, -2, -2, -2, -2, -2, 2, 1 2, 2, 2, 2, 2, -1, -1, -1, -2, -2, 2 5, 5, 5, 5, -2, -2, -2, -2, -2, -2, 3 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 5 1, 1, 1, -2, -2, 1, 1, 1, -2, -2, 6 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 7 2, 2, 5, 5, -2, 2, 2, 5, 5, -2, 8 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, 9 -2, -2, -2, -2, -2, -2, -2, -2, -2, -2/ DATA ((KFPR(I,J),J=1,2),I=1,50)/ & 23, 0, 24, 0, 25, 0, 24, 0, 25, 0, & 24, 0, 23, 0, 25, 0, 0, 0, 0, 0, 1 0, 0, 0, 0, 21, 21, 21, 22, 21, 23, 1 21, 24, 21, 25, 22, 22, 22, 23, 22, 24, 2 22, 25, 23, 23, 23, 24, 23, 25, 24, 24, 2 24, 25, 25, 25, 0, 21, 0, 22, 0, 23, 3 0, 24, 0, 25, 0, 21, 0, 22, 0, 23, 3 0, 24, 0, 25, 0, 21, 0, 22, 0, 23, 4 0, 24, 0, 25, 0, 21, 0, 22, 0, 23, 4 0, 24, 0, 25, 0, 21, 0, 22, 0, 23/ DATA ((KFPR(I,J),J=1,2),I=51,100)/ 5 0, 24, 0, 25, 0, 0, 0, 0, 0, 0, 5 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6 0, 0, 0, 0, 21, 21, 24, 24, 23, 24, 7 23, 23, 24, 24, 23, 24, 23, 25, 22, 22, 7 23, 23, 24, 24, 24, 25, 25, 25, 0, 211, 8 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 443, 21,10441, 21,20443, 21, 445, 21, 0, 0, 9 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9 0, 0, 0, 0, 0, 0, 0, 0, 0, 0/ DATA ((KFPR(I,J),J=1,2),I=101,150)/ & 23, 0, 25, 0, 25, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 22, 25, 1 21, 25, 0, 25, 21, 25, 22, 22, 21, 22, 1 22, 23, 23, 23, 24, 24, 0, 0, 0, 0, 2 25, 6, 25, 6, 25, 0, 25, 0, 0, 0, 2 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 23, 5, 0, 0, 0, 0, 0, 0, 0, 0, 3 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4 32, 0, 34, 0, 37, 0, 40, 0, 39, 0, 4 0, 0, 7, 0, 8, 0, 38, 0, 0, 0/ DATA ((KFPR(I,J),J=1,2),I=151,200)/ 5 35, 0, 35, 0, 35, 0, 0, 0, 0, 0, 5 36, 0, 36, 0, 36, 0, 0, 0, 0, 0, 6 6, 37, 39, 0, 39, 39, 39, 39, 11, 0, 6 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7 23, 35, 24, 35, 35, 0, 35, 0, 0, 0, 7 23, 36, 24, 36, 36, 0, 36, 0, 0, 0, 8 35, 6, 35, 6, 0, 0, 0, 0, 0, 0, 8 36, 6, 36, 6, 0, 0, 0, 0, 0, 0, 9 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9 0, 0, 0, 0, 0, 0, 0, 0, 0, 0/ DATA COEF/4000*0./ DATA (((ICOL(I,J,K),K=1,2),J=1,4),I=1,40)/ 1 4,0,3,0,2,0,1,0,3,0,4,0,1,0,2,0,2,0,0,1,4,0,0,3,3,0,0,4,1,0,0,2, 2 3,0,0,4,1,4,3,2,4,0,0,3,4,2,1,3,2,0,4,1,4,0,2,3,4,0,3,4,2,0,1,2, 3 3,2,1,0,1,4,3,0,4,3,3,0,2,1,1,0,3,2,1,4,1,0,0,2,2,4,3,1,2,0,0,1, 4 3,2,1,4,1,4,3,2,4,2,1,3,4,2,1,3,3,4,4,3,1,2,2,1,2,0,3,1,2,0,0,0, 5 4,2,1,0,0,0,1,0,3,0,0,3,1,2,0,0,4,0,0,4,0,0,1,2,2,0,0,1,4,4,3,3, 6 2,2,1,1,4,4,3,3,3,3,4,4,1,1,2,2,3,2,1,3,1,2,0,0,4,2,1,4,0,0,1,2, 7 4,0,0,0,4,0,1,3,0,0,3,0,2,4,3,0,3,4,0,0,1,0,0,1,0,0,3,4,2,0,0,2, 8 3,0,0,0,1,0,0,0,0,0,3,0,2,0,0,0,2,0,3,1,2,0,0,0,3,2,1,0,1,0,0,0, 9 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, & 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0/ C...Character constants: name of processes. DATA PROC(0)/ 'All included subprocesses '/ DATA (PROC(I),I=1,20)/ 1'f + f~ -> gamma*/Z0 ', 'f + f~'' -> W+/- ', 2'f + f~ -> H0 ', 'gamma + W+/- -> W+/- ', 3'Z0 + Z0 -> H0 ', 'Z0 + W+/- -> W+/- ', 4' ', 'W+ + W- -> H0 ', 5' ', 'f + f'' -> f + f'' (QFD) ', 6'f + f'' -> f + f'' (QCD) ','f + f~ -> f'' + f~'' ', 7'f + f~ -> g + g ', 'f + f~ -> g + gamma ', 8'f + f~ -> g + Z0 ', 'f + f~'' -> g + W+/- ', 9'f + f~ -> g + H0 ', 'f + f~ -> gamma + gamma ', &'f + f~ -> gamma + Z0 ', 'f + f~'' -> gamma + W+/- '/ DATA (PROC(I),I=21,40)/ 1'f + f~ -> gamma + H0 ', 'f + f~ -> Z0 + Z0 ', 2'f + f~'' -> Z0 + W+/- ', 'f + f~ -> Z0 + H0 ', 3'f + f~ -> W+ + W- ', 'f + f~'' -> W+/- + H0 ', 4'f + f~ -> H0 + H0 ', 'f + g -> f + g ', 5'f + g -> f + gamma ', 'f + g -> f + Z0 ', 6'f + g -> f'' + W+/- ', 'f + g -> f + H0 ', 7'f + gamma -> f + g ', 'f + gamma -> f + gamma ', 8'f + gamma -> f + Z0 ', 'f + gamma -> f'' + W+/- ', 9'f + gamma -> f + H0 ', 'f + Z0 -> f + g ', &'f + Z0 -> f + gamma ', 'f + Z0 -> f + Z0 '/ DATA (PROC(I),I=41,60)/ 1'f + Z0 -> f'' + W+/- ', 'f + Z0 -> f + H0 ', 2'f + W+/- -> f'' + g ', 'f + W+/- -> f'' + gamma ', 3'f + W+/- -> f'' + Z0 ', 'f + W+/- -> f'' + W+/- ', 4'f + W+/- -> f'' + H0 ', 'f + H0 -> f + g ', 5'f + H0 -> f + gamma ', 'f + H0 -> f + Z0 ', 6'f + H0 -> f'' + W+/- ', 'f + H0 -> f + H0 ', 7'g + g -> f + f~ ', 'g + gamma -> f + f~ ', 8'g + Z0 -> f + f~ ', 'g + W+/- -> f + f~'' ', 9'g + H0 -> f + f~ ', 'gamma + gamma -> f + f~ ', &'gamma + Z0 -> f + f~ ', 'gamma + W+/- -> f + f~'' '/ DATA (PROC(I),I=61,80)/ 1'gamma + H0 -> f + f~ ', 'Z0 + Z0 -> f + f~ ', 2'Z0 + W+/- -> f + f~'' ', 'Z0 + H0 -> f + f~ ', 3'W+ + W- -> f + f~ ', 'W+/- + H0 -> f + f~'' ', 4'H0 + H0 -> f + f~ ', 'g + g -> g + g ', 5'gamma + gamma -> W+ + W- ', 'gamma + W+/- -> Z0 + W+/- ', 6'Z0 + Z0 -> Z0 + Z0 ', 'Z0 + Z0 -> W+ + W- ', 7'Z0 + W+/- -> Z0 + W+/- ', 'Z0 + Z0 -> Z0 + H0 ', 8'W+ + W- -> gamma + gamma ', 'W+ + W- -> Z0 + Z0 ', 9'W+/- + W+/- -> W+/- + W+/- ', 'W+/- + H0 -> W+/- + H0 ', &'H0 + H0 -> H0 + H0 ', 'q + gamma -> q'' + pi+/- '/ DATA (PROC(I),I=81,100)/ 1'q + q~ -> Q + Q~, massive ', 'g + g -> Q + Q~, massive ', 2'f + q -> f'' + Q, massive ', 'g + gamma -> Q + Q~, massive', 3'gamma + gamma -> F + F~, mas', 'g + g -> J/Psi + g ', 4'g + g -> chi_0c + g ', 'g + g -> chi_1c + g ', 5'g + g -> chi_2c + g ', ' ', 6'Elastic scattering ', 'Single diffractive (XB) ', 7'Single diffractive (AX) ', 'Double diffractive ', 8'Low-pT scattering ', 'Semihard QCD 2 -> 2 ', 9' ', ' ', &' ', ' '/ DATA (PROC(I),I=101,120)/ 1'g + g -> gamma*/Z0 ', 'g + g -> H0 ', 2'gamma + gamma -> H0 ', ' ', 3' ', ' ', 4' ', ' ', 5' ', 'f + f~ -> gamma + H0 ', 6'f + f~ -> g + H0 ', 'q + g -> q + H0 ', 7'g + g -> g + H0 ', 'g + g -> gamma + gamma ', 8'g + g -> g + gamma ', 'g + g -> gamma + Z0 ', 9'g + g -> Z0 + Z0 ', 'g + g -> W+ + W- ', &' ', ' '/ DATA (PROC(I),I=121,140)/ 1'g + g -> Q + Q~ + H0 ', 'q + q~ -> Q + Q~ + H0 ', 2'f + f'' -> f + f'' + H0 ', 2'f + f'' -> f" + f"'' + H0 ', 3' ', ' ', 4' ', ' ', 5' ', ' ', 6'g + g -> Z0 + q + q~ ', ' ', 7' ', ' ', 8' ', ' ', 9' ', ' ', &' ', ' '/ DATA (PROC(I),I=141,160)/ 1'f + f~ -> gamma*/Z0/Z''0 ', 'f + f~'' -> W''+/- ', 2'f + f~'' -> H+/- ', 'f + f~'' -> R ', 3'q + l -> LQ ', ' ', 4'd + g -> d* ', 'u + g -> u* ', 5'g + g -> eta_techni ', ' ', 6'f + f~ -> H''0 ', 'g + g -> H''0 ', 7'gamma + gamma -> H''0 ', ' ', 8' ', 'f + f~ -> A0 ', 9'g + g -> A0 ', 'gamma + gamma -> A0 ', &' ', ' '/ DATA (PROC(I),I=161,180)/ 1'f + g -> f'' + H+/- ', 'q + g -> LQ + l~ ', 2'g + g -> LQ + LQ~ ', 'q + q~ -> LQ + LQ~ ', 3'f + f~ -> f'' + f~'' (gamma/Z)', 3'f +f~'' -> f" + f~"'' (W) ', 4' ', ' ', 5' ', ' ', 6'f + f~ -> Z0 + H''0 ', 'f + f~'' -> W+/- + H''0 ', 7'f + f'' -> f + f'' + H''0 ', 7'f + f'' -> f" + f"'' + H''0 ', 8' ', 'f + f~ -> Z0 + A0 ', 9'f + f~'' -> W+/- + A0 ', 9'f + f'' -> f + f'' + A0 ', &'f + f'' -> f" + f"'' + A0 ', &' '/ DATA (PROC(I),I=181,200)/ 1'g + g -> Q + Q~ + H''0 ', 'q + q~ -> Q + Q~ + H''0 ', 2' ', ' ', 3' ', 'g + g -> Q + Q~ + A0 ', 4'q + q~ -> Q + Q~ + A0 ', ' ', 5' ', ' ', 6' ', ' ', 7' ', ' ', 8' ', ' ', 9' ', ' ', &' ', ' '/ C...Cross sections and slope offsets. DATA SIGT/294*0./ END C********************************************************************* SUBROUTINE RKBBV(AK1,AK2,AP1,AP2,ALEP1,ALEP2,IMC,RESULT) C...The following routines have been written by Ronald Kleiss, C...to evaluate the matrix element for g + g -> Z + q + qbar, C...with massive quarks (e.g. q = b). C...They have been modified, so that all routines and commonblocks C...have names beginning with RK, and so that some unnecessary C...initialization information is not printed. Further, COMPLEX*16 C...has been changed to COMPLEX and REAL*8 to DOUBLE PRECISION C...(in a few cases to REAL), so as to make the program better C...transportable. * THE CROSS SECTION FOR * G(K1) + G(K2) ---> Z(QV) + B(P1) + B_BAR(P2) * | * +---> L(LEP1) + LEP_BAR(LEP2) * THE B QUARKS HAVE TO BE ON-SHELL, THE LEPTONS MASSLESS * THE OPTION IMC=0 PERFORMS THE STANDARD SPIN SUM * THE OPTION IMC=1 PERFORMS THE CALCULATION FOR 'NMC' RANDOMLY * CHOSEN HELICITY STATES WHICH IMPROVES THE * SPEED BY A FACTOR 32/NMC SAVE REAL AK1(0:3),AK2(0:3),AP1(0:3),AP2(0:3),ALEP1(0:3),ALEP2(0:3) DOUBLE PRECISION K1(0:4),K2(0:4),P1(0:4),P2(0:4),LEP1(0:4), &LEP2(0:4) REAL RMQ,RMV,RGV,GSTR,VB,AB,VL,AL INTEGER INIT INTEGER J1,J2,J3,J4,J5 INTEGER K,IMC,KLOW,KUPP,NMC,OLDIMC DOUBLE PRECISION RKRAND,RKDOT,MULT,RMB INTEGER CHKGL1,CHKGL2 DOUBLE PRECISION QV(0:4),R1(0:4),R2(0:4),Q1(0:4),Q2(0:4) DOUBLE PRECISION PP2(0:4) DOUBLE PRECISION CROSS INTEGER LG1,LG2,LV,L1,L2,HELIX,HELI COMPLEX ZFACV,ZFAC1,ZFAC2 DOUBLE PRECISION ZFACS,ZFACB,ZFACBB,ZFACL COMPLEX RKZSF COMPLEX ZFAC DOUBLE PRECISION VPA,VMA DOUBLE PRECISION RR1(0:4),RR2(0:4) DOUBLE PRECISION ZD12V,ZD21V,ZD1V2,ZD2V1,ZDV12,ZDV21 COMPLEX RKZF,ZN12V,ZN21V,ZN1V2,ZN2V1,ZNV12,ZNV21 COMPLEX ZDIA1,ZDIA2,ZDIA3,ZDIA4,ZDIA5,ZDIA6,ZDIA7,ZDIA8 COMPLEX ZC12V,ZC21V,ZCV12,ZCV21 DOUBLE PRECISION S,ZD11,ZD22 COMPLEX ZABEL,ZNABEL,ZNABEM REAL RESULT DOUBLE PRECISION THIS1 COMPLEX ANSS(-1:1,1:4,-1:1,1:4) INTEGER DONS(-1:1,1:4,-1:1,1:4) COMPLEX ANSF(-1:1,1:4,1:8,-1:1,1:4) INTEGER DONF(-1:1,1:4,1:8,-1:1,1:4) PARAMETER(CHKGL1=0,CHKGL2=0,NMC=1) COMMON/RKZSCO/ANSS,DONS COMMON/RKZFCO/ANSF,DONF COMMON/RKBBVC/RMQ,RMV,RGV,VB,AB,VL,AL DATA INIT/0/ * CHECK ON EITHER FIRST CALL OR CHANGE IN IMC IF(INIT.EQ.0.OR.IMC.NE.OLDIMC) THEN OLDIMC=IMC INIT=1 * REPRODUCE INPUT DATA C WRITE(6,*) ' ----------------------------------------' C WRITE(6,*) ' BBV: G G ---> B B_BAR Z, Z ---> L L_BAR' C WRITE(6,*) ' B QUARK MASS = ',RMB,' GEV' C WRITE(6,*) ' BOSON MASS = ',RMV,' GEV' C WRITE(6,*) ' BOSON WIDTH = ',RGV,' GEV' C WRITE(6,*) ' B VECTOR C. = ',VB C WRITE(6,*) ' B AXIAL C. = ',AB C WRITE(6,*) ' LEPTON VECTOR C. = ',VL C WRITE(6,*) ' LEPTON AXIAL C. = ',AL RMB=RMQ * ADJUST STRONG COUPLING SO AS TO GIVE EFFECTIVELY ALPHA_S=1 GSTR=4D0*DSQRT(DATAN(1D0)) C WRITE(6,*) ' QCD COUPLING = ',GSTR * SEE WETHER GAUGE CHECKS ARE REQUIRED IF(CHKGL1.EQ.1) THEN WRITE(6,*) ' GAUGE CHECK ON GLUON 1' ENDIF IF(CHKGL2.EQ.1) THEN WRITE(6,*) ' GAUGE CHECK ON GLUON 2' ENDIF * SEE WETHER HELICITY MONTE CARLO IS REQUIRED IF(IMC.EQ.0) THEN KLOW=1 KUPP=32 MULT=1D0 WRITE(6,*) ' SUM OVER HELICITIES SELECTED' ELSEIF(IMC.EQ.1) THEN KLOW=1 KUPP=NMC MULT=32D0/(1D0*NMC) C WRITE(6,*) ' MONTE CARLO OVER HELICITES SELECTED' C WRITE(6,*) ' WITH ',NMC,' HELICITY TRIALS' C WRITE(6,*) ' RESULT THEN MULTIPLIED BY ',MULT ELSE WRITE(6,*) ' ERROR: WRONG OPTION IMC=',IMC ENDIF C WRITE(6,*) ' THE RESULT IS BASED ON ALPHA_S=1,', C . ' MUST BE MULTIPLIED BY ALPHA_S**2' C WRITE(6,*) ' ----------------------------------------' C WRITE(6,800)'NO.','LG1','LG2','LV','L1','L2','AMP**2' C 800 FORMAT(' ',6A4,A10) ENDIF * INITIALIZE THE ARRAYS ANSS,DONS DO 130 J1=-1,1,2 DO 120 J2=1,4 DO 110 J3=-1,1,2 DO 100 J4=1,4 ANSS(J1,J2,J3,J4)=(0.,0.) DONS(J1,J2,J3,J4)=0 100 CONTINUE 110 CONTINUE 120 CONTINUE 130 CONTINUE * INITIALIZE THE ARRAYS ANSF,DONF DO 180 J1=-1,1,2 DO 170 J2=1,4 DO 160 J3=1,8 DO 150 J4=-1,1,2 DO 140 J5=1,4 ANSF(J1,J2,J3,J4,J5)=(0.,0.) DONF(J1,J2,J3,J4,J5)=0 140 CONTINUE 150 CONTINUE 160 CONTINUE 170 CONTINUE 180 CONTINUE * EQUATE THE (0:4) INTERNAL MOMENTA TO THE (0:3) ARGUMENTS MOMENTA DO 190 K=0,3 K1(K)=AK1(K) K2(K)=AK2(K) P1(K)=AP1(K) P2(K)=AP2(K) LEP1(K)=ALEP1(K) LEP2(K)=ALEP2(K) 190 CONTINUE * ASSIGN LABELS TO THE MOMENTA FOR RECOGNITION * THE MOMENTA K1,K2,LEP1,LEP2 (AND R1,R2) CAN OCCUR AS THE MASSLESS * MOMENTA IN ARGUMENTS NO.2 AND 6 IN ZF, AND NO.2 AND 4 IN RKZSF * R1,R2 AND Q1,Q2 ARE SOME OF THESE, AND CAN ALSO OCCUR * AS ARGUMENTS NO.2 AND 6 IN ZF AND NO.2 AND 4 IN RKZSF K1(4)=1D0 K2(4)=2D0 LEP1(4)=3D0 LEP2(4)=4D0 * THE OTHER MOMENTA P1,P2 AND THE VARIOUS RR1,RR2 CAN OCCUR ONLY * AS ARGUMENT NO.3 IN ZF P1(4)=1D0 P2(4)=2D0 * THE TOTAL BOSON MOMENTUM * NO NEED TO ASSIGN 4TH COMPONENT LABEL SINCE IT IS NOT USED DO 200 K=0,3 QV(K)=LEP1(K)+LEP2(K) 200 CONTINUE * DEFINE THE AUXILIARY VECTORS: THE RESULT SHOULD BE THE SAME * FOR EVERY NON-SINGULAR CHOICE OF THE AUXILIARY VECTORS * SINGULAR CHOICES ARE R1=K1 OR R2=K2 * THESE ARE OBTAINED BY PUTTING CHKGL1=1 OR CHKGL2=1 * AUXILIARY VECTOR FOR GLUON 1 * NEED TO ASSIGN ALSO 4TH COMPONENT LABELS HERE! IF(CHKGL1.EQ.1) THEN DO 210 K=0,4 R1(K)=K1(K) 210 CONTINUE ELSE DO 220 K=0,4 R1(K)=K2(K) 220 CONTINUE ENDIF * AUXILIARY VECTOR FOR GLUON 2 IF(CHKGL2.EQ.1) THEN DO 230 K=0,4 R2(K)=K2(K) 230 CONTINUE ELSE DO 240 K=0,4 R2(K)=K1(K) 240 CONTINUE ENDIF * AUXILIARY VECTOR FOR THE B QUARK DO 250 K=0,4 Q1(K)=LEP1(K) 250 CONTINUE * AUXILIARY VECTOR FOR THE B_BAR QUARK DO 260 K=0,4 Q2(K)=LEP2(K) 260 CONTINUE * INITIALIZE THE CROSS SECTION TO ZERO CROSS=0D0 * SINCE P2 CORRESPONDS TO AN ANTIFERMION WE HAVE TO * CHANGE ITS SIGN MOMENTARILY: PUT THE OLD RESULT IN PP2(0:3) * BU MAKE SURE TO KEEP THE LABEL POSITIVE! DO 270 K=0,3 PP2(K)=P2(K) P2(K)=-P2(K) 270 CONTINUE * COMPUTE OVERALL FACTORS: FOR EVERY SLASHED POLARIZATION THERE * APPEARS A FACTOR OF 2 IN ADDITION TO THE NORMALIZATION * FOLLOWING FROM THE CHISHOLM IDENTITY * IN PRINCIPLE THE OVERALL FACTORS ARE DIFFERENT FOR EACH DIFFERENT * HELICITY COMPBINATION BUT IN THIS CASE WE ARE ONLY INTERESTED IN * THEIR ABSOLUTE VALUE (NO TRANSVERSE GLUON POLARIZATION ETC.) * SO WE CAN TAKE THIS OUT OF THE LOOP, EXCEPT FOR THE NONTRIVIAL * HELICITY DEPENDENCE IN 'ZFACV' * OVERALL FACTOR FOR THE BOSON CURRENT, WITH BREIT-WIGNER ZFACV=2./CMPLX(SNGL(RKDOT(QV,QV))-RMV**2,RMV*RGV) * OVERALL FACTOR FOR GLUON 1 IF(CHKGL1.EQ.1) THEN ZFAC1=(1.,0.) ELSE * ORIGINAL FORM: ZFAC1=2D0*LG1/(DSQRT(2D0)*RKZPR(-LG1,K1,R1)) ZFAC1=DSQRT(2D0)/RKZSF(1,K1,-1,R1) ENDIF * OVERALL FACTOR FOR GLUON 2 IF(CHKGL2.EQ.1) THEN ZFAC2=1D0 ELSE * ORIGINAL FORM: ZFAC2=2D0*LG2/(DSQRT(2D0)*RKZPR(-LG2,K2,R2)) ZFAC2=DSQRT(2D0)/RKZSF(1,K2,-1,R2) ENDIF * OVERALL FACTOR FOR QCD COUPLINGS ZFACS=GSTR**2 * OVERALL FACTOR FOR THE B QUARK ZFACB=1/DSQRT(2D0*RKDOT(P1,Q1)) * OVERALL FACTOR FOR THE B_BAR QUARK ZFACBB=1D0/DSQRT(2D0*RKDOT(PP2,Q2)) * FINAL OVERALL FACTOR ZFAC=ZFACV*ZFAC1*ZFAC2*ZFACS*ZFACB*ZFACBB * DO A BIG LOOP OVER ALL HELICITIES OR A RANDOM CHOICE OF HELICITIES * NB: FUNNY INDENTATION HERE! * ALSO INITIALIZE COUNTERS FOR RKZSF AND ZF DO 360 HELIX=KLOW,KUPP IF(IMC.EQ.0) THEN CALL RKHLPK(HELIX,LG1,LG2,LV,L1,L2) ELSE HELI=IDINT(32D0*RKRAND(HELIX))+1 CALL RKHLPK(HELI,LG1,LG2,LV,L1,L2) ENDIF * DETERMINE THE 'LEFT-' AND 'RIGHT-'HANDED COUPLINGS OF THE B TO THE Z VPA=VB+LV*AB VMA=VB-LV*AB * AND THE LEPTON HELICITY FACTOR ZFACL=(VL-LV*AL) * FIRST PART OF THE RESULT: THE ABELIAN TERMS * COMPUTE THE NUMERATORS (ZN...) USING THE ZF FUNCTION * AND THE DENOMINATORS (ZD...) THE STANDARD WAY * THE INTERNAL FERMION MOMENTA ARE DIFFERENT IN EACH DIAGRAM * AND ARE DENOTED BY RR1 AND RR2 * THE 4TH COMPONENT LABELS ARE NONTRIVIAL HERE: HAVING ALREADY * P1(4)=1 AND P2(4)=2 WE ALSO DEFINE * (P1-K1)(4)=3, * (P1-K1-K2)(4)=(P1-K2-K1)(4)=4 * (P1-K2)(4)=5 * (P1-K1+QV)(4)=6 * (P1-K2+QV)(5)=7 * (P1+QV)(4)=8 * SO THAT IN THE VARIOUS DIAGRAMS WE HAVE * IN ZN12V: RR1(4)=3, RR2(4)=4 * IN ZN21V: RR1(4)=5, RR2(4)=4 * IN ZN1V2: RR1(4)=3, RR2(4)=6 * IN ZN2V1: RR1(4)=5, RR2(4)=7 * IN ZNV12: RR1(4)=8, RR2(4)=6 * IN ZNV21: RR1(4)=8, RR2(4)=7 DO 280 K=0,3 RR1(K)=P1(K)-K1(K) RR2(K)=RR1(K)-K2(K) 280 CONTINUE RR1(4)=3D0 RR2(4)=4D0 ZD12V=(RKDOT(RR1,RR1)-RMB**2)*(RKDOT(RR2,RR2)-RMB**2) ZN12V = . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA DO 290 K=0,3 RR1(K)=P1(K)-K2(K) RR2(K)=RR1(K)-K1(K) 290 CONTINUE RR1(4)=5D0 RR2(4)=4D0 ZD21V=(RKDOT(RR1,RR1)-RMB**2)*(RKDOT(RR2,RR2)-RMB**2) ZN21V = . RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA DO 300 K=0,3 RR1(K)=P1(K)-K1(K) RR2(K)=RR1(K)+QV(K) 300 CONTINUE RR1(4)=3D0 RR2(4)=6D0 ZD1V2=(RKDOT(RR1,RR1)-RMB**2)*(RKDOT(RR2,RR2)-RMB**2) ZN1V2 = . RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZF(LG1,K1,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,-LG2,K2)*RKZF(-LG2,R2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG1,K1) *RKZF(-LG1,R1,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,-LG2,K2)*RKZF(-LG2,R2,P2,RMB,L2,Q2)*VMA DO 310 K=0,3 RR1(K)=P1(K)-K2(K) RR2(K)=RR1(K)+QV(K) 310 CONTINUE RR1(4)=5D0 RR2(4)=7D0 ZD2V1=(RKDOT(RR1,RR1)-RMB**2)*(RKDOT(RR2,RR2)-RMB**2) ZN2V1 = . RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,-LG1,K1) *RKZF(-LG1,R1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZF(LG2,K2,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,-LG1,K1)*RKZF(-LG1,R1,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,LV,LEP2) . *RKZF(LV,LEP1,RR2,RMB,-LG1,K1) *RKZF(-LG1,R1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG2,K2) *RKZF(-LG2,R2,RR1,RMB,-LV,LEP1) . *RKZF(-LV,LEP2,RR2,RMB,-LG1,K1)*RKZF(-LG1,R1,P2,RMB,L2,Q2)*VMA DO 320 K=0,3 RR1(K)=P1(K)+QV(K) RR2(K)=RR1(K)-K1(K) 320 CONTINUE RR1(4)=8D0 RR2(4)=6D0 ZDV12=(RKDOT(RR1,RR1)-RMB**2)*(RKDOT(RR2,RR2)-RMB**2) ZNV12 = . RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,-LG2,K2)*RKZF(-LG2,R2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,LG1,R1) . *RKZF(LG1,K1,RR2,RMB,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,-LG1,K1) . *RKZF(-LG1,R1,RR2,RMB,-LG2,K2)*RKZF(-LG2,R2,P2,RMB,L2,Q2)*VMA DO 330 K=0,3 RR1(K)=P1(K)+QV(K) RR2(K)=RR1(K)-K2(K) 330 CONTINUE RR1(4)=8D0 RR2(4)=7D0 ZDV21=(RKDOT(RR1,RR1)-RMB**2)*(RKDOT(RR2,RR2)-RMB**2) ZNV21 = . RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,-LG1,K1) *RKZF(-LG1,R1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZF(LV,LEP1,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,-LG1,K1)*RKZF(-LG1,R1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,LG2,R2) . *RKZF(LG2,K2,RR2,RMB,-LG1,K1) *RKZF(-LG1,R1,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,LG1,R1) *RKZF(LG1,K1,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1) *RKZF(-LV,LEP2,RR1,RMB,-LG2,K2) . *RKZF(-LG2,R2,RR2,RMB,-LG1,K1)*RKZF(-LG1,R1,P2,RMB,L2,Q2)*VMA * COMPUTE THE DIAGRAMS SO FAR ZDIA1=ZN12V/ZD12V ZDIA2=ZN21V/ZD21V ZDIA3=ZN1V2/ZD1V2 ZDIA4=ZN2V1/ZD2V1 ZDIA5=ZNV12/ZDV12 ZDIA6=ZNV21/ZDV21 * SECOND PART OF THE RESULT: THE NONABELIAN PART. * THIS IS MADE UP PARTLY FROM THE ABELIAN PART AND PARTLY FROM * NEW PIECES * THE ASSIGNMENT OF THE 4TH COMPONENT LABELS IS NOW UNNECESSARY * FOR RR1 SINCE IT DOES NOT OCCUR IN ANY ZF HERE S=2D0*RKDOT(K1,K2) DO 340 K=0,3 RR1(K)=PP2(K)+QV(K) 340 CONTINUE ZD11=S*(RKDOT(RR1,RR1)-RMB**2) ZC12V = . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZSF(LG1,K1,LG2,R2) . *RKZSF(LG2,K2,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZSF(LG1,K1,LG2,R2) . *RKZSF(LG2,K2,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZSF(LG1,K1,-LG2,K2) . *RKZSF(-LG2,R2,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG1,R1) *RKZSF(LG1,K1,-LG2,K2) . *RKZSF(-LG2,R2,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG1,K1)*RKZSF(-LG1,R1,LG2,R2) . *RKZSF(LG2,K2,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG1,K1)*RKZSF(-LG1,R1,LG2,R2) . *RKZSF(LG2,K2,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG1,K1)*RKZSF(-LG1,R1,-LG2,K2) . *RKZSF(-LG2,R2,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG1,K1)*RKZSF(-LG1,R1,-LG2,K2) . *RKZSF(-LG2,R2,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA ZC21V = . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZSF(LG2,K2,LG1,R1) . *RKZSF(LG1,K1,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZSF(LG2,K2,LG1,R1) . *RKZSF(LG1,K1,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZSF(LG2,K2,-LG1,K1) . *RKZSF(-LG1,R1,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LG2,R2) *RKZSF(LG2,K2,-LG1,K1) . *RKZSF(-LG1,R1,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG2,K2)*RKZSF(-LG2,R2,LG1,R1) . *RKZSF(LG1,K1,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG2,K2)*RKZSF(-LG2,R2,LG1,R1) . *RKZSF(LG1,K1,-LV,LEP1) *RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LG2,K2)*RKZSF(-LG2,R2,-LG1,K1) . *RKZSF(-LG1,R1,LV,LEP2) *RKZF(LV,LEP1,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LG2,K2)*RKZSF(-LG2,R2,-LG1,K1) . *RKZSF(-LG1,R1,-LV,LEP1)*RKZF(-LV,LEP2,P2,RMB,L2,Q2)*VMA ZDIA7=(-ZN12V+ZN21V)/ZD11-(ZC12V-ZC21V)/(2D0*S) DO 350 K=0,3 RR1(K)=P1(K)+QV(K) 350 CONTINUE ZD22=S*(RKDOT(RR1,RR1)-RMB**2) ZCV12 = . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZSF(LV,LEP1,LG1,R1) . *RKZSF(LG1,K1,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZSF(LV,LEP1,LG1,R1) . *RKZSF(LG1,K1,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZSF(LV,LEP1,-LG1,K1) . *RKZSF(-LG1,R1,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,LV,LEP2) *RKZSF(LV,LEP1,-LG1,K1) . *RKZSF(-LG1,R1,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VPA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1)*RKZSF(-LV,LEP2,LG1,R1) . *RKZSF(LG1,K1,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1)*RKZSF(-LV,LEP2,LG1,R1) . *RKZSF(LG1,K1,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1)*RKZSF(-LV,LEP2,-LG1,K1) . *RKZSF(-LG1,R1,LG2,R2) *RKZF(LG2,K2,P2,RMB,L2,Q2)*VMA . + RKZF(L1,Q1,P1,RMB,-LV,LEP1)*RKZSF(-LV,LEP2,-LG1,K1) . *RKZSF(-LG1,R1,-LG2,K2) *RKZF(-LG2,R2,P2,RMB,L2,Q2)*VMA * THE FOURTH COMBINATION CAN BE GOTTEN FROM * THE FIRST THREE USING DIRAC ALGEBRA: * EPS1*EPS2*EPVS+EPS2*EPS1*EPSV = 2(EPS1.EPS2)*EPSV ETC. ZCV21=ZC12V+ZC21V-ZCV12 ZDIA8=(-ZNV12+ZNV21)/ZD22-(ZCV12-ZCV21)/(2D0*S) * CONSTRUCT THE ABELIAN AND NONABELIAN PART ZABEL= ZDIA1+ZDIA2+ZDIA3+ZDIA4+ZDIA5+ZDIA6 ZNABEL=ZDIA1-ZDIA2+ZDIA3-ZDIA4+ZDIA5-ZDIA6 ZNABEM=2D0*ZDIA7+2D0*ZDIA8 ZNABEL=ZNABEL-ZNABEM ZABEL=ZABEL*ZFAC*ZFACL ZNABEL=ZNABEL*ZFAC*ZFACL * INCLUDE COLOUR FACTORS: * (N**2-1)*(N**2-2)/(8*N) = 7/3 FOR THE ABELIAN PART * N*(N**2-1)/8 = 3 FOR THE NONABELIAN PART * AND ADD THE RESULT TO THE CROSS SECTION THIS1=7D0/3D0*ABS(ZABEL)**2+3D0*ABS(ZNABEL)**2 CC WRITE(6,801)HELIX,LG1,LG2,LV,L1,L2,THIS1 CC801 FORMAT(' ',6I4,D30.20) CROSS=CROSS+THIS1 * END OF THE BIG LOOP OVER HELICITIES 360 CONTINUE * DO NOT FORGET TO PUT P2 BACK TO ITS ORIGINAL VALUE IN PP2! DO 370 K=0,3 P2(K)=PP2(K) 370 CONTINUE * ADD AVERAGING FACTORS: * 1/2 FOR EACH GLUON SPIN, 1/8 FOR EACH GLUON COLOUR CROSS=CROSS/256D0 * TAKE INTO ACCOUNT A POSSIBLE FACTOR FOR THE HELICITY SUM OPTION * AND RETURN THE FINAL RESULT IF(IMC.EQ.1) CROSS=CROSS*MULT RESULT=CROSS END *================================================================== FUNCTION RKZF(L1,P1,Q,RMB,L2,P2) * COMPUTES THE SCALAR STRUCTURE * U_BAR(L1,P1)(SLASH(Q)+RMB)U(L2,P2) IMPLICIT DOUBLE PRECISION(A-H,O-Z) COMPLEX RKZF,RKZPR,RKZSF COMPLEX ANSF(-1:1,1:4,1:8,-1:1,1:4) INTEGER DONF(-1:1,1:4,1:8,-1:1,1:4) COMMON/RKZFCO/ANSF,DONF DIMENSION P1(0:4),P2(0:4),Q(0:4),R(0:4) * CHECK ON CORRECT LABEL INPUT IP1=IDINT(P1(4)) IQ=IDINT(Q(4)) IP2=IDINT(P2(4)) IF(IABS(L1).NE.1.OR.IABS(L2).NE.1.OR. . IP1.LT.1.OR.IP1.GT.4 .OR. . IQ.LT.1.OR.IQ.GT.8 .OR. . IP2.LT.1.OR.IP2.GT.4) THEN WRITE(6,*) ' RKZF LABEL ERROR' WRITE(6,*) 'L1=',L1,' IP1=',IP1,' IQ=',IQ, . ' L2=',L2,' IP2=',IP2 STOP ENDIF * CHECK WHETHER THIS ONE HAS BEEN CALCULATED ALREADY IF(DONF(L1,IP1,IQ,L2,IP2).EQ.0) THEN * THIS ONE NOT DONE YET: DO IT AND STORE THE RESULT IN ARRAY 'ANSF' IF(L1.EQ.L2) THEN A=2D0*RKDOT(Q,P2) C IF(DABS(A).LT.(1D-10*P2(0)*Q(0))) THEN C...The check above is extended to following. IF(ABS(A).LT.MAX(1D-8,ABS(1D-10*P2(0)*Q(0)))) THEN ANSF(L1,IP1,IQ,L2,IP2)=(0.,0.) ELSE A=RKDOT(Q,Q)/A DO 100 K=0,3 R(K)=Q(K)-A*P2(K) 100 CONTINUE IF(R(0).GT.0D0) THEN C=1D0 ELSE DO 110 K=0,3 R(K)=-R(K) 110 CONTINUE C=-1D0 ENDIF ANSF(L1,IP1,IQ,L2,IP2)=C*RKZPR(L1,P1,R)*RKZPR(-L1,R,P2) ENDIF ELSEIF(L1.EQ.-L2) THEN ANSF(L1,IP1,IQ,L2,IP2)=RMB*RKZSF(L1,P1,L2,P2) ELSE WRITE(6,*) ' ERROR IN RKZF: L1=',L1,' L2=',L2 STOP ENDIF RKZF=ANSF(L1,IP1,IQ,L2,IP2) DONF(L1,IP1,IQ,L2,IP2)=1 ELSE RKZF=ANSF(L1,IP1,IQ,L2,IP2) ENDIF END *================================================================== FUNCTION RKRAND(IDUMMY) IMPLICIT DOUBLE PRECISION(A-H,O-Z) SAVE DATA INIT/0/ IF(INIT.EQ.0) THEN INIT=1 X=DMOD(DSQRT(2D0),1D0) Y=DMOD(DSQRT(3D0),1D0) Z=DMOD(DSQRT(5D0),1D0) ELSE X=DMOD(X+Y+Z,1D0) Y=DMOD(X+Y+Z,1D0) Z=DMOD(X+Y+Z,1D0) ENDIF RKRAND=X END *================================================================== FUNCTION RKDOT(P,Q) DOUBLE PRECISION P(0:4),Q(0:4),RKDOT RKDOT=P(0)*Q(0)-P(1)*Q(1)-P(2)*Q(2)-P(3)*Q(3) END *================================================================== FUNCTION RKZPR(L,Q1,Q2) IMPLICIT DOUBLE PRECISION(A-H,O-Z) COMPLEX RKZPR DIMENSION Q1(0:4),Q2(0:4) IF(IABS(L).NE.1) THEN WRITE(6,*) ' RKZPR: ERROR L=',L STOP ENDIF C...Introduce cutoff to check that R1 and R2 not zero. R1=DSQRT(MAX(1D-10,Q1(0)-Q1(1))) R2=DSQRT(MAX(1D-10,Q2(0)-Q2(1))) RKZPR=CMPLX(SNGL(Q1(2)),SNGL(Q1(3)))*R2/R1 . -CMPLX(SNGL(Q2(2)),SNGL(Q2(3)))*R1/R2 IF(L.EQ.-1) RKZPR=-CONJG(RKZPR) END *================================================================== FUNCTION RKZSF(L1,P1,L2,P2) IMPLICIT DOUBLE PRECISION(A-H,O-Z) COMPLEX RKZSF,RKZPR COMPLEX ANSS(-1:1,1:4,-1:1,1:4) INTEGER DONS(-1:1,1:4,-1:1,1:4) COMMON/RKZSCO/ANSS,DONS DIMENSION P1(0:4),P2(0:4) * CHECK ON CORRECT LABEL INPUT IP1=IDINT(P1(4)) IP2=IDINT(P2(4)) IF(IABS(L1).NE.1.OR.IABS(L2).NE.1.OR. . IP1.LT.1.OR.IP2.GT.4.OR.IP2.LT.1.OR.IP2.GT.4) THEN WRITE(6,*) . ' RKZSF: ERROR L1=',L1,' L2=',L2,' IP1=',IP1,' IP2=',IP2 STOP ENDIF * CHECK WHETER THIS ONE WAS ALREADY COMPUTED * DONS(,,,)=0: NOT YET COMPUTED, DONS(,,,)=1: ALREADY COMPUTED * IF NOT YET COMPUTED: COMPUTE IT, AND STORE IN ARRAY 'ANSS' * IF ALREADY COMPUTED: GET THE RESULT FROM ARRAY 'ANSS' IF(DONS(L1,IP1,L2,IP2).EQ.0) THEN IF(L1.EQ.L2) THEN ANSS(L1,IP1,L2,IP2)=(0.,0.) ELSE ANSS(L1,IP1,L2,IP2)=RKZPR(L1,P1,P2) ENDIF DONS(L1,IP1,L2,IP2)=1 ENDIF RKZSF=ANSS(L1,IP1,L2,IP2) END *================================================================== SUBROUTINE RKHLPK(NUM,LGL1,LGL2,LLV,LL1,LL2) IMPLICIT INTEGER(A-Z) SAVE DIMENSION CONFIG(32,6) DATA INIT/0/ IF(INIT.EQ.0) THEN INIT=1 MUM=0 DO 140 GL1=1,-1,-2 DO 130 GL2=1,-1,-2 DO 120 LV=1,-1,-2 DO 110 L1=1,-1,-2 DO 100 L2=1,-1,-2 MUM=MUM+1 CONFIG(MUM,1)=GL1 CONFIG(MUM,2)=GL2 CONFIG(MUM,3)=LV CONFIG(MUM,4)=L1 CONFIG(MUM,5)=L2 100 CONTINUE 110 CONTINUE 120 CONTINUE 130 CONTINUE 140 CONTINUE ENDIF LGL1=CONFIG(NUM,1) LGL2=CONFIG(NUM,2) LLV =CONFIG(NUM,3) LL1 =CONFIG(NUM,4) LL2 =CONFIG(NUM,5) END C********************************************************************* SUBROUTINE PYKCUT(MCUT) C...Dummy routine, which the user can replace in order to make cuts on C...the kinematics on the parton level before the matrix elements are C...evaluated and the event is generated. The cross-section estimates C...will automatically take these cuts into account, so the given C...values are for the allowed phase space region only. MCUT=0 means C...that the event has passed the cuts, MCUT=1 that it has failed. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) SAVE /PYINT1/,/PYINT2/ C...Set default value (accepting event) for MCUT. MCUT=0 C...Read out subprocess number. ISUB=MINT(1) ISTSB=ISET(ISUB) C...Read out tau, y*, cos(theta), tau' (where defined, else =0). TAU=VINT(21) YST=VINT(22) CTH=0. IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) CTH=VINT(23) TAUP=0. IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUP=VINT(26) C...Calculate x_1, x_2, x_F. IF(ISTSB.LE.2.OR.ISTSB.GE.6) THEN X1=SQRT(TAU)*EXP(YST) X2=SQRT(TAU)*EXP(-YST) ELSE X1=SQRT(TAUP)*EXP(YST) X2=SQRT(TAUP)*EXP(-YST) ENDIF XF=X1-X2 C...Calculate shat, that, uhat, p_T^2. SHAT=TAU*VINT(2) SQM3=VINT(63) SQM4=VINT(64) RM3=SQM3/SHAT RM4=SQM4/SHAT BE34=SQRT(MAX(0.,(1.-RM3-RM4)**2-4.*RM3*RM4)) RPTS=4.*VINT(71)**2/SHAT BE34L=SQRT(MAX(0.,(1.-RM3-RM4)**2-4.*RM3*RM4-RPTS)) RM34=2.*RM3*RM4 RSQM=1.+RM34 RTHM=(4.*RM3*RM4+RPTS)/(1.-RM3-RM4+BE34L) THAT=-0.5*SHAT*MAX(RTHM,1.-RM3-RM4-BE34*CTH) UHAT=-0.5*SHAT*MAX(RTHM,1.-RM3-RM4+BE34*CTH) PT2=MAX(VINT(71)**2,0.25*SHAT*BE34**2*(1.-CTH**2)) C...Decisions by user to be put here. C...Stop program if this routine is ever called. C...You should not copy these lines to your own routine. WRITE(MSTU(11),5000) I1=1 I2=2*I1+1 IF(I2.GT.I1) STOP C...Format for error printout. 5000 FORMAT(1X,'Error: you did not link your PYKCUT routine ', &'correctly.'/1X,'Dummy routine in PYTHIA file called instead.'/ &1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE PYEVWT(WTXS) C...Dummy routine, which the user can replace in order to multiply the C...standard PYTHIA differential cross-section by a process- and C...kinematics-dependent factor WTXS. For MSTP(142)=1 this corresponds C...to generation of weighted events, with weight 1/WTXS, while for C...MSTP(142)=2 it corresponds to a modification of the underlying C...physics. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) SAVE /PYINT1/,/PYINT2/ C...Set default weight for WTXS. WTXS=1. C...Read out subprocess number. ISUB=MINT(1) ISTSB=ISET(ISUB) C...Read out tau, y*, cos(theta), tau' (where defined, else =0). TAU=VINT(21) YST=VINT(22) CTH=0. IF(ISTSB.EQ.2.OR.ISTSB.EQ.4.OR.ISTSB.EQ.6) CTH=VINT(23) TAUP=0. IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUP=VINT(26) C...Read out x_1, x_2, x_F, shat, that, uhat, p_T^2. X1=VINT(41) X2=VINT(42) XF=X1-X2 SHAT=VINT(44) THAT=VINT(45) UHAT=VINT(46) PT2=VINT(48) C...Modifications by user to be put here. C...Stop program if this routine is ever called. C...You should not copy these lines to your own routine. WRITE(MSTU(11),5000) I1=1 I2=2*I1+1 IF(I2.GT.I1) STOP C...Format for error printout. 5000 FORMAT(1X,'Error: you did not link your PYEVWT routine ', &'correctly.'/1X,'Dummy routine in PYTHIA file called instead.'/ &1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE PYUPIN(ISUB,TITLE,SIGMAX) C...Routine to be called by user to set up a user-defined process. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) COMMON/PYINT6/PROC(0:200) CHARACTER PROC*28 SAVE /LUDAT1/,/PYINT2/,/PYINT6/ CHARACTER*(*) TITLE C...Check that subprocess number free. IF(ISUB.LT.1.OR.ISUB.GT.200.OR.ISET(ISUB).GE.0) THEN WRITE(MSTU(11),5000) ISUB STOP ENDIF C...Fill information on new process. ISET(ISUB)=11 COEF(ISUB,1)=SIGMAX PROC(ISUB)=TITLE//' ' C...Format for error output. 5000 FORMAT(1X,'Error: user-defined subprocess code ',I4, &' not allowed.'//1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE PYUPEV(ISUB,SIGEV) C...Dummy routine, to be replaced by user. When called from PYTHIA C...the subprocess number ISUB will be given, and PYUPEV is supposed C...to generate an event of this type, to be stored in the PYUPPR C...commonblock. SIGEV gives the differential cross-section associated C...with the event, i.e. the acceptance probability of the event is C...taken to be SIGEV/SIGMAX, where SIGMAX was given in the PYUPIN C...call. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ COMMON/PYUPPR/NUP,KUP(20,7),PUP(20,5),NFUP,IFUP(10,2),Q2UP(0:10) SAVE /PYUPPR/ C...Stop program if this routine is ever called. C...You should not copy these lines to your own routine. WRITE(MSTU(11),5000) I1=1 I2=2*I1+1 IF(I2.GT.I1) STOP SIGEV=ISUB C...Format for error printout. 5000 FORMAT(1X,'Error: you did not link your PYUPEV routine ', &'correctly.'/1X,'Dummy routine in PYTHIA file called instead.'/ &1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE PDFSET(PARM,VALUE) C...Dummy routine, to be removed when PDFLIB is to be linked. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ CHARACTER*20 PARM(20) DOUBLE PRECISION VALUE(20) C...Stop program if this routine is ever called. WRITE(MSTU(11),5000) I1=1 I2=2*I1+1 IF(I2.GT.I1) STOP PARM(20)=PARM(1) VALUE(20)=VALUE(1) C...Format for error printout. 5000 FORMAT(1X,'Error: you did not link PDFLIB correctly.'/ &1X,'Dummy routine PDFSET in PYTHIA file called instead.'/ &1X,'Execution stopped!') RETURN END C********************************************************************* SUBROUTINE STRUCTM(XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU) C...Dummy routine, to be removed when PDFLIB is to be linked. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) SAVE /LUDAT1/ DOUBLE PRECISION XX,QQ,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU C...Stop program if this routine is ever called. WRITE(MSTU(11),5000) I1=1 I2=2*I1+1 IF(I2.GT.I1) STOP GLU=XX+QQ+UPV+DNV+USEA+DSEA+STR+CHM+BOT+TOP C...Format for error printout. 5000 FORMAT(1X,'Error: you did not link PDFLIB correctly.'/ &1X,'Dummy routine STRUCTM in PYTHIA file called instead.'/ &1X,'Execution stopped!') RETURN END