C********************************************************************* C********************************************************************* C* ** C* June 1991 ** C* ** C* The Lund Monte Carlo for Hadronic Processes ** C* ** C* PYTHIA version 5.5 ** C* ** C* Hans-Uno Bengtsson ** C* Department of Theoretical Physics, University of Uppsala ** C* ** C* Torbjorn Sjostrand ** C* CERN/TH, CH-1211 Geneva 23 ** C* BITNET/EARN address TORSJO@CERNVM ** C* Tel. +22 - 767 28 20 ** C* ** C* Copyright Hans-Uno Bengtsson and Torbjorn Sjostrand ** 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 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 PYSTGA to evaluate photon 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 PYSTFE to provide interface to Tung or user structure func. * 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,CHMO(12)*3,CHLH(2)*6 DATA ALAMIN/0.20,0.29,0.20,0.40,0.187,0.212,0.191,0.155, &0.22,0.16,0.16,0.26,0.36,7*0.2/,NFIN/20*4/ DATA CHMO/'Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep', &'Oct','Nov','Dec'/, CHLH/'lepton','hadron'/ C...Reset MINT and VINT arrays. Write headers. DO 100 J=1,400 MINT(J)=0 100 VINT(J)=0. IF(MSTP(127).GE.1) WRITE(MSTU(11),5000) MSTP(181),MSTP(182), &MSTP(185),CHMO(MSTP(184)),MSTP(183) MSTP(127)=0 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=1,200 110 MSUB(I)=0 ENDIF IF(MINT(43).EQ.1.AND.(MSEL.EQ.1.OR.MSEL.EQ.2)) 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.(MSEL.EQ.1.OR.MSEL.EQ.2)) THEN C...Lepton+hadron: deep inelastic scattering. MSUB(10)=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 ELSEIF(MSEL.EQ.2) THEN 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(95)=1 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)) 120 MDME(MDCY(21,2)+J-1,1)=0 MDME(MDCY(21,2)+MSEL-1,1)=1 MSUB(85)=1 DO 130 J=1,MIN(12,MDCY(22,3)) 130 MDME(MDCY(22,2)+J-1,1)=0 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)) 140 MDME(MDCY(21,2)+J-1,1)=0 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(44).LT.4.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(54)=MIN(MSTP(54),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)+2 170 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) ELSEIF(IA.GE.11.AND.IA.LE.10+2*MSTP(1)) THEN VINT(180+I)=1. ENDIF 180 CONTINUE C...Choose Lambda value to use in alpha-strong. MSTU(111)=MSTP(2) IF(MSTP(3).GE.1) THEN ALAM=PARP(1) IF(MSTP(51).GE.1.AND.MSTP(51).LE.13) ALAM=ALAMIN(MSTP(51)) PARP(1)=ALAM PARP(61)=ALAM PARU(112)=ALAM PARJ(81)=ALAM IF(MSTP(51).GE.1.AND.MSTP(51).LE.13) MSTU(112)=NFIN(MSTP(51)) ENDIF C...Initialize widths and partial widths for resonances. CALL PYINRE IF(MINT(65).EQ.1) GOTO 200 C...Reset variables for cross-section calculation. DO 190 I=0,200 DO 190 J=1,3 NGEN(I,J)=0 190 XSEC(I,J)=0. C...Find parametrized total cross-sections. IF(MINT(44).EQ.4) 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(44).EQ.4.AND.(MINT(49).NE.0.OR.MSTP(131).NE.0).AND. &MSTP(82).GE.2) CALL PYMULT(1) 200 IF(MSTP(122).GE.1) WRITE(MSTU(11),5600) C...Formats for initialization information. 5000 FORMAT(///20X,'The Lund Monte Carlo - PYTHIA version ',I1,'.',I1/ &20X,'** Last date of change: ',I2,1X,A3,1X,I4,' **'/) 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) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/,/PYINT2/,/PYINT5/ C...Initial values for some counters. 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...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 170 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 180 ENDIF MINT(82)=IPILE C...Generate variables of hard scattering. 100 CONTINUE MINT(31)=0 MINT(51)=0 CALL PYRAND ISUB=MINT(1) IF(MSTP(111).EQ.-1) GOTO 160 IF(ISUB.LE.90.OR.ISUB.GE.95) THEN C...Hard scattering (including low-pT): C...reconstruct kinematics and colour flow of hard scattering. CALL PYSCAT IF(MINT(51).EQ.1) GOTO 100 IPU1=MINT(84)+1 IPU2=MINT(84)+2 IF(ISUB.EQ.95) GOTO 110 C...Showering of initial state partons (optional). IF(MSTP(61).GE.1.AND.MINT(47).GE.2) CALL PYSSPA(IPU1,IPU2) C...Showering of final state partons (optional). IF(MSTP(71).GE.1.AND.ISET(ISUB).GE.2) THEN IPU3=MINT(84)+3 IPU4=MINT(84)+4 IF(ISET(ISUB).EQ.5.OR.ISET(ISUB).EQ.6) IPU4=-3 QMAX=VINT(53) IF(ISET(ISUB).EQ.2) QMAX=SQRT(PARP(71))*VINT(53) CALL LUSHOW(IPU3,IPU4,QMAX) ENDIF C...Decay of final state resonances. IF(MSTP(41).GE.1) CALL PYRESD IF(MINT(51).EQ.1) GOTO 100 MINT(52)=N C...Multiple interactions. IF(MSTP(81).GE.1.AND.MINT(44).EQ.4) CALL PYMULT(6) MINT(53)=N C...Hadron remnants and primordial kT. 110 CALL PYREMN(IPU1,IPU2) 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 120 I=MINT(83)+1,N 120 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) 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 130 I=MINT(84)+1,N IF(K(I,2).NE.94) GOTO 130 K(I+1,3)=MOD(K(I+1,4)/MSTU(5),MSTU(5)) K(I+2,3)=MOD(K(I+2,4)/MSTU(5),MSTU(5)) 130 CONTINUE CALL LUEDIT(12) CALL LUEDIT(14) IF(MSTP(125).EQ.0) CALL LUEDIT(15) IF(MSTP(125).EQ.0) MINT(4)=0 DO 150 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 140 I1=I+1,N IF(K(I1,3).EQ.I.AND.K(I,4).EQ.0) K(I,4)=I1 140 IF(K(I1,3).EQ.I) K(I,5)=I1 ENDIF 150 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...Perform hadronization (if desired). IF(MSTP(111).GE.1) THEN CALL LUEXEC IF(MSTU(24).NE.0) GOTO 100 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. 160 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) 170 CONTINUE C...Generic information on pileup events. 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 C...Transform to the desired coordinate frame. 180 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) 110 CHPA(KF)=CHAU(1:9) WRITE(MSTU(11),5400) WRITE(MSTU(11),5500) DO 140 KC=1,40 KCL=KC 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 IF(KC.EQ.7.OR.KC.EQ.8) KCL=KC+19 IF(KC.EQ.17.OR.KC.EQ.18) KCL=KC+11 ENDIF IF((KC.GE.26.AND.KC.LE.31).OR.KC.EQ.33.OR.KC.EQ.38) GOTO 140 C...Off-shell branchings. IF(KC.LE.22.AND.(MSTP(6).NE.1.OR.(KC.NE.7.AND.KC.NE.8.AND. & KC.NE.17.AND.KC.NE.18))) 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)/2 120 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. 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) 130 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 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) 150 CHPA(KF)=CHAU(1:9) DO 160 I=-20,22 IF(I.EQ.0) GOTO 160 IA=IABS(I) IF(IA.GT.MSTP(54).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=4,14 170 WRITE(MSTU(11),6500) CKIN(2*I-1),CHKIN(I),CKIN(2*I) 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=1,100 180 WRITE(MSTU(11),7100) I,MSTP(I),PARP(I),100+I,MSTP(100+I), & PARP(100+I) 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(26)*8,CHINIT*76 DIMENSION LEN(3),KCDE(26) 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- '/ 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/ C...Convert character variables to lowercase and find their length. CHCOM(1)=CHFRAM CHCOM(2)=CHBEAM CHCOM(3)=CHTARG DO 120 I=1,3 LEN(I)=8 DO 100 LL=8,1,-1 IF(LEN(I).EQ.LL.AND.CHCOM(I)(LL:LL).EQ.' ') LEN(I)=LL-1 DO 100 LA=1,26 100 IF(CHCOM(I)(LL:LL).EQ.CHALP(2)(LA:LA)) CHCOM(I)(LL:LL)= &CHALP(1)(LA:LA) CHIDNT(I)=CHCOM(I) C...Fix up bar, underscore and charge in particle name (if needed). DO 110 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 110 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' ENDIF 120 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 140 I=1,2 K(I,1)=1 K(I,2)=0 DO 130 J=1,26 130 IF(CHIDNT(I+1).EQ.CHCDE(J)) K(I,2)=KCDE(J) P(I,5)=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 MINT(44+I)=MINT(40+I) IF(MSTP(11).GE.1.AND.IABS(K(I,2)).EQ.11) MINT(44+I)=3 DO 140 J=1,5 140 V(I,J)=0. 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 150 J=6,10 150 VINT(J)=0. CHINIT=' ' C...Set up kinematics for events defined in CM frame. IF(CHCOM(1)(1:2).EQ.'cm') THEN 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(1,1)=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 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(1,1)=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 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) IF(MSTP(122).GE.1) WRITE(MSTU(11),5700) CHCOM(3),P(2,1), & P(2,2),P(2,3) 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 160 J=1,3 160 VINT(7+J)=(DBLE(P(1,J))+DBLE(P(2,J)))/DBLE(P(1,4)+P(2,4)) 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...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 VINT(1)=SQRT(S) VINT(2)=S VINT(3)=P(1,5) VINT(4)=P(2,5) VINT(5)=P(1,3) 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',25X,'px (GeV/c)',3X,'py (GeV/c)',3X, &'pz (GeV/c)',15X,'I') 5700 FORMAT(1X,'I',15X,A8,3(2X,F10.3,1X),14X,'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) 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...Reset full and effective widths of gauge bosons. DO 100 I=21,40 DO 100 J=0,40 WIDP(I,J)=0. 100 WIDE(I,J)=0. C...Loop over possible resonances. IMAX=10 IF(MSTP(6).EQ.1) IMAX=14 DO 140 I=1,IMAX IF(I.LE.3) KC=I+22 IF(I.EQ.4) KC=37 IF(I.EQ.5) KC=36 IF(I.EQ.6) KC=35 IF(I.EQ.7) KC=32 IF(I.EQ.8) KC=34 IF(I.EQ.9.OR.I.EQ.10) KC=I+30 IF(I.EQ.11.OR.I.EQ.12) KC=I-4 IF(I.EQ.13.OR.I.EQ.14) KC=I+4 KCL=KC IF(I.EQ.11.OR.I.EQ.12) KCL=KC+19 IF(I.EQ.13.OR.I.EQ.14) KCL=KC+11 C...Change decay modes for q* and l*. IF(I.GE.11) THEN DO 110 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 KF2=KFDP(IDC,2) 110 IF(KF2.EQ.7.OR.KF2.EQ.8.OR.KF2.EQ.17.OR.KF2.EQ.18) & KFDP(IDC,2)=KF2-6 ENDIF C...Check that no fourth generation channels on by mistake. IF(MSTP(1).LE.3) THEN DO 120 J=1,MDCY(KC,3) IDC=J+MDCY(KC,2)-1 KFA1=IABS(KFDP(IDC,1)) KFA2=IABS(KFDP(IDC,2)) 120 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 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) 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.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 130 J=0,40 WIDP(KCL,J)=FAC*WDTP(J) 130 WIDE(KCL,J)=FAC*WDTE(J,0) 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 140 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) 140 CONTINUE C...Find heaviest new quark flavour allowed in processes 81-84. KFLQM=1 DO 150 I=1,MIN(8,MDCY(21,3)) IDC=I+MDCY(21,2)-1 IF(MDME(IDC,1).LE.0) GOTO 150 KFLQM=I 150 CONTINUE 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 160 I=1,MIN(12,MDCY(22,3)) IDC=I+MDCY(22,2)-1 IF(MDME(IDC,1).LE.0) GOTO 160 KFLFM=KFDP(IDC,1) 160 CONTINUE 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*' ELSEIF(MSTP(43).EQ.2) THEN PROC(1)='f + f~ -> Z0' ELSEIF(MSTP(43).EQ.3) THEN PROC(1)='f + 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, double diffractive, single diffractive and C...elastic cross-sections for different energies and beams. 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) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/,/PYINT5/ DIMENSION BCS(5,8),BCB(2,5),BCC(3) C...The following data lines are coefficients needed in the C...Block, Cahn parametrization of total cross-section and nuclear C...slope parameter; see below. DATA ((BCS(I,J),J=1,8),I=1,5)/ 1 41.74, 0.66, 0.0000, 337., 0.0, 0.0, -39.3, 0.48, 2 41.66, 0.60, 0.0000, 306., 0.0, 0.0, -34.6, 0.51, 3 41.36, 0.63, 0.0000, 299., 7.3, 0.5, -40.4, 0.47, 4 41.68, 0.63, 0.0083, 330., 0.0, 0.0, -39.0, 0.48, 5 41.13, 0.59, 0.0074, 278., 10.5, 0.5, -41.2, 0.46/ DATA ((BCB(I,J),J=1,5),I=1,2)/ 1 10.79, -0.049, 0.040, 21.5, 1.23, 2 9.92, -0.027, 0.013, 18.9, 1.07/ DATA BCC/2.0164346,-0.5590311,0.0376279/ C...Total cross-section and nuclear slope parameter for pp and p-pbar NFIT=MIN(5,MAX(1,MSTP(31))) SIGP=BCS(NFIT,1)+BCS(NFIT,2)*(-0.25*PARU(1)**2* &(1.-0.25*BCS(NFIT,3)*PARU(1)**2)+(1.+0.5*BCS(NFIT,3)*PARU(1)**2)* &(LOG(VINT(2)/BCS(NFIT,4)))**2+BCS(NFIT,3)* &(LOG(VINT(2)/BCS(NFIT,4)))**4)/ &((1.-0.25*BCS(NFIT,3)*PARU(1)**2)**2+2.*BCS(NFIT,3)* &(1.+0.25*BCS(NFIT,3)*PARU(1)**2)*(LOG(VINT(2)/BCS(NFIT,4)))**2+ &BCS(NFIT,3)**2*(LOG(VINT(2)/BCS(NFIT,4)))**4)+BCS(NFIT,5)* &VINT(2)**(BCS(NFIT,6)-1.)*SIN(0.5*PARU(1)*BCS(NFIT,6)) SIGM=-BCS(NFIT,7)*VINT(2)**(BCS(NFIT,8)-1.)* &COS(0.5*PARU(1)*BCS(NFIT,8)) REFP=BCS(NFIT,2)*PARU(1)*LOG(VINT(2)/BCS(NFIT,4))/ &((1.-0.25*BCS(NFIT,3)*PARU(1)**2)**2+2.*BCS(NFIT,3)* &(1.+0.25*BCS(NFIT,3)*PARU(1)**2)+(LOG(VINT(2)/BCS(NFIT,4)))**2+ &BCS(NFIT,3)**2*(LOG(VINT(2)/BCS(NFIT,4)))**4)-BCS(NFIT,5)* &VINT(2)**(BCS(NFIT,6)-1.)*COS(0.5*PARU(1)*BCS(NFIT,6)) REFM=-BCS(NFIT,7)*VINT(2)**(BCS(NFIT,8)-1.)* &SIN(0.5*PARU(1)*BCS(NFIT,8)) SIGMA=SIGP-ISIGN(1,MINT(11)*MINT(12))*SIGM RHO=(REFP-ISIGN(1,MINT(11)*MINT(12))*REFM)/SIGMA C...Nuclear slope parameter B, curvature C: NFIT=1 IF(MSTP(31).GE.4) NFIT=2 BP=BCB(NFIT,1)+BCB(NFIT,2)*LOG(VINT(2))+ &BCB(NFIT,3)*(LOG(VINT(2)))**2 BM=BCB(NFIT,4)+BCB(NFIT,5)*LOG(VINT(2)) B=BP-ISIGN(1,MINT(11)*MINT(12))*SIGM/SIGP*(BM-BP) VINT(121)=B C=-0.5*BCC(2)/BCC(3)*(1.-SQRT(MAX(0.,1.+4.*BCC(3)/BCC(2)**2* &(1.E-03*VINT(1)-BCC(1))))) VINT(122)=C C...Elastic scattering cross-section (fixed by sigma-tot, rho and B). SIGEL=SIGMA**2*(1.+RHO**2)/(16.*PARU(1)*PARU(5)*B) C...Single diffractive scattering cross-section from Goulianos: SIGSD=2.*0.68*(1.+36./VINT(2))*LOG(0.6+0.1*VINT(2)) C...Double diffractive scattering cross-section (essentially fixed by C...sigma-sd and sigma-el). SIGDD=SIGSD**2/(3.*SIGEL) C...Total non-elastic, non-diffractive cross-section. SIGND=SIGMA-SIGDD-SIGSD-SIGEL C...Rescale for pions. IF(IABS(MINT(11)).EQ.211.AND.IABS(MINT(12)).EQ.211) THEN SIGMA=4./9.*SIGMA SIGDD=4./9.*SIGDD SIGSD=4./9.*SIGSD SIGEL=4./9.*SIGEL SIGND=4./9.*SIGND ELSEIF(IABS(MINT(11)).EQ.211.OR.IABS(MINT(12)).EQ.211) THEN SIGMA=2./3.*SIGMA SIGDD=2./3.*SIGDD SIGSD=2./3.*SIGSD SIGEL=2./3.*SIGEL SIGND=2./3.*SIGND ENDIF C...Save cross-sections in common block PYPARA. VINT(101)=SIGMA VINT(102)=SIGEL VINT(103)=SIGSD VINT(104)=SIGDD VINT(106)=SIGND XSEC(95,1)=SIGND 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 SAVE /LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYINT6/ 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 410 ISUB=1,200 IF(ISUB.GE.91.AND.ISUB.LE.95) THEN XSEC(ISUB,1)=VINT(ISUB+11) IF(MSUB(ISUB).NE.1) GOTO 410 NPOSI=NPOSI+1 GOTO 400 ELSEIF(ISUB.EQ.96) THEN IF(MINT(44).NE.4) GOTO 410 IF(MSUB(95).NE.1.AND.MSTP(81).LE.0.AND.MSTP(131).LE.0) GOTO 410 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 410 ELSE IF(MSUB(ISUB).NE.1) GOTO 410 ENDIF MINT(1)=ISUB ISTSB=ISET(ISUB) IF(ISUB.EQ.96) ISTSB=2 IF(MSTP(122).GE.2) WRITE(MSTU(11),5000) 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.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)*246.**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(KFPR(ISUB,I),2).LT.PARP(41)) THEN IF(I.EQ.1) SQM3=PMAS(KFPR(ISUB,I),1)**2 IF(I.EQ.2) SQM4=PMAS(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 410 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 410 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=1,20 110 COEF(ISUB,J)=0. 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 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=1,30 120 VINTPT(NACC,J)=VINT(10+J) C...Normal case: calculate cross-section. IF(ISTSB.NE.5) THEN CALL PYSIGH(NCHN,SIGS) 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(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 410 ELSEIF(SIGSAM.EQ.0.) THEN WRITE(MSTU(11),5300) ISUB MSUB(ISUB)=0 GOTO 410 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 270 IVAR=1,4 IF(NPTS(IVAR).EQ.1) GOTO 270 IF(ISUB.EQ.96.AND.IVAR.EQ.4) GOTO 270 NBIN=NPTS(IVAR) DO 150 J1=1,NBIN NAREL(J1)=0 WTREL(J1)=0. COEFU(J1)=0. DO 150 J2=1,NBIN 150 WTMAT(J1,J2)=0. DO 160 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 160 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 170 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=0 170 WTRELS=WTRELS+WTREL(IBIN) IF(MSOLV.EQ.0) THEN DO 180 IBIN=1,NBIN COEFU(IBIN)=1. WTRELN(IBIN)=0.1 180 IF(WTRELS.GT.0.) WTRELN(IBIN)=MAX(0.1,WTREL(IBIN)/WTRELS) C...Solve to find relative importance of cross-section pieces. ELSE DO 190 IBIN=1,NBIN 190 WTRELN(IBIN)=MAX(0.1,WTREL(IBIN)/WTRELS) DO 200 IRED=1,NBIN-1 DO 200 IBIN=IRED+1,NBIN RQT=WTMAT(IBIN,IRED)/WTMAT(IRED,IRED) WTREL(IBIN)=WTREL(IBIN)-RQT*WTREL(IRED) DO 200 ICOE=IRED,NBIN 200 WTMAT(IBIN,ICOE)=WTMAT(IBIN,ICOE)-RQT*WTMAT(IRED,ICOE) DO 220 IRED=NBIN,1,-1 DO 210 ICOE=IRED+1,NBIN 210 WTREL(IRED)=WTREL(IRED)-WTMAT(IRED,ICOE)*COEFU(ICOE) 220 COEFU(IRED)=WTREL(IRED)/WTMAT(IRED,IRED) ENDIF C...Normalize coefficients, with piece shared democratically. COEFSU=0. WTRELS=0. DO 230 IBIN=1,NBIN COEFU(IBIN)=MAX(0.,COEFU(IBIN)) COEFSU=COEFSU+COEFU(IBIN) 230 WTRELS=WTRELS+WTRELN(IBIN) IF(COEFSU.GT.0.) THEN DO 240 IBIN=1,NBIN 240 COEFO(IBIN)=PARP(122)/NBIN+(1.-PARP(122))*0.5* & (COEFU(IBIN)/COEFSU+WTRELN(IBIN)/WTRELS) ELSE DO 250 IBIN=1,NBIN 250 COEFO(IBIN)=1./NBIN 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 260 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+1 260 COEF(ISUB,ICOF)=COEFO(IBIN) IF(MSTP(122).GE.2) WRITE(MSTU(11),5600) CVAR(IVAR), &(COEFO(IBIN),IBIN=1,NBIN) 270 CONTINUE C...Find two most promising maxima among points previously determined. DO 280 J=1,4 IACCMX(J)=0 280 SIGSMX(J)=0. NMAX=0 DO 340 IACC=1,NACC DO 290 J=1,30 290 VINT(10+J)=VINTPT(IACC,J) IF(ISTSB.NE.5) THEN CALL PYSIGH(NCHN,SIGS) ELSE SIGS=0. DO 300 IKIN3=1,MSTP(129) CALL PYKMAP(5,0,0.) IF(MINT(51).EQ.1) GOTO 300 CALL PYSIGH(NCHN,SIGTMP) IF(SIGTMP.GT.SIGS) SIGS=SIGTMP 300 CONTINUE ENDIF IEQ=0 DO 310 IMV=1,NMAX 310 IF(ABS(SIGS-SIGSMX(IMV)).LT.1E-4*(SIGS+SIGSMX(IMV))) IEQ=IMV IF(IEQ.EQ.0) THEN DO 320 IMV=NMAX,1,-1 IIN=IMV+1 IF(SIGS.LE.SIGSMX(IMV)) GOTO 330 IACCMX(IMV+1)=IACCMX(IMV) 320 SIGSMX(IMV+1)=SIGSMX(IMV) IIN=1 330 IACCMX(IIN)=IACC SIGSMX(IIN)=SIGS IF(NMAX.LE.1) NMAX=NMAX+1 ENDIF 340 CONTINUE C...Read out starting position for search. IF(MSTP(122).GE.2) WRITE(MSTU(11),5700) SIGSAM=SIGSMX(1) DO 390 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 380 IRPT=1,2 DO 370 IVAR=1,4 IF(NPTS(IVAR).EQ.1) GOTO 370 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 360 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) ELSE SIGS=0. DO 350 IKIN3=1,MSTP(129) CALL PYKMAP(5,0,0.) IF(MINT(51).EQ.1) GOTO 350 CALL PYSIGH(NCHN,SIGTMP) IF(SIGTMP.GT.SIGS) SIGS=SIGTMP 350 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 360 CONTINUE 370 CONTINUE 380 CONTINUE 390 CONTINUE IF(MSTP(121).EQ.1) SIGSAM=PARP(121)*SIGSAM XSEC(ISUB,1)=1.05*SIGSAM 400 IF(ISUB.NE.96) XSEC(0,1)=XSEC(0,1)+XSEC(ISUB,1) 410 CONTINUE 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 420 ISUB=1,200 IF(MSUB(ISUB).NE.1.AND.ISUB.NE.96) GOTO 420 IF(ISUB.EQ.96.AND.MINT(44).NE.4) GOTO 420 IF(ISUB.EQ.96.AND.MSUB(95).NE.1.AND.MSTP(81).LE.0) GOTO 420 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 420 WRITE(MSTU(11),6200) ISUB,PROC(ISUB),XSEC(ISUB,1) 420 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 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) SAVE /LUDAT1/ SAVE /PYPARS/,/PYINT1/ 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)=VINT(106) IF(MSTP(132).GE.2) VINT(131)=VINT(131)+VINT(104) IF(MSTP(132).GE.3) VINT(131)=VINT(131)+VINT(103) IF(MSTP(132).GE.4) VINT(131)=VINT(131)+VINT(102) 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. 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 100 IMIN=I C...Find shape of multiplicity distribution above maximum. 110 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 120 IMAX=I 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) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/ DOUBLE PRECISION SH,SQM1,SQM2,SQM3,SQM4,SQLA12,SQLA34, &THTER1,THTER2,THL,THU,THM,SQMMIN,SQMMAX,SQMI,SQMJ,SQMF, &SQUA,QUAR,B,C,EXPTH,THARG,RATLOG,TH,THTER3 C...Initial values, specifically for (first) semihard interaction. MINT(10)=0 MINT(17)=0 MINT(18)=0 VINT(143)=1. VINT(144)=1. IF(MINT(82).EQ.1) NGEN(0,2)=NGEN(0,2)+1 IF(MSUB(95).EQ.1.OR.MINT(82).GE.2) CALL PYMULT(2) ISUB=0 100 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.VINT(106)) ISUB=93 IF(RSUB.GT.VINT(106)+VINT(104)) ISUB=92 IF(RSUB.GT.VINT(106)+VINT(104)+VINT(103)) 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 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.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)*246.**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(KFPR(ISUB,I),2).LT.PARP(41)) THEN VINT(62+I)=PMAS(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) GOTO 100 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) GOTO 100 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 IF(ISTSB.EQ.0) THEN C...Double or single diffractive, or elastic scattering: C...choose m^2 according to 1/m^2 (diffractive), constant (elastic) IS=INT(1.5+RLU(0)) VINT(63)=VINT(3)**2 VINT(64)=VINT(4)**2 IF(ISUB.EQ.92.OR.ISUB.EQ.93) VINT(62+IS)=PARP(111)**2 IF(ISUB.EQ.93) VINT(65-IS)=PARP(111)**2 SH=VINT(2) SQM1=VINT(3)**2 SQM2=VINT(4)**2 SQM3=VINT(63) SQM4=VINT(64) SQLA12=(SH-SQM1-SQM2)**2-4D0*SQM1*SQM2 SQLA34=(SH-SQM3-SQM4)**2-4D0*SQM3*SQM4 THTER1=SQM1+SQM2+SQM3+SQM4-(SQM1-SQM2)*(SQM3-SQM4)/SH-SH THTER2=SQRT(MAX(0D0,SQLA12))*SQRT(MAX(0D0,SQLA34))/SH THL=0.5D0*(THTER1-THTER2) THU=0.5D0*(THTER1+THTER2) THM=MIN(MAX(THL,DBLE(PARP(101))),THU) JTMAX=0 IF(ISUB.EQ.92.OR.ISUB.EQ.93) JTMAX=ISUB-91 DO 140 JT=1,JTMAX MINT(13+3*JT-IS*(2*JT-3))=1 SQMMIN=VINT(59+3*JT-IS*(2*JT-3)) SQMI=VINT(8-3*JT+IS*(2*JT-3))**2 SQMJ=VINT(3*JT-1-IS*(2*JT-3))**2 SQMF=VINT(68-3*JT+IS*(2*JT-3)) SQUA=0.5D0*SH/SQMI*((1D0+(SQMI-SQMJ)/SH)*THM+SQMI-SQMF- & SQMJ**2/SH+(SQMI+SQMJ)*SQMF/SH+(SQMI-SQMJ)**2/SH**2*SQMF) QUAR=SH/SQMI*(THM*(THM+SH-SQMI-SQMJ-SQMF*(1D0-(SQMI-SQMJ)/SH))+ & SQMI*SQMJ-SQMJ*SQMF*(1D0+(SQMI-SQMJ-SQMF)/SH)) SQMMAX=SQUA+SQRT(MAX(0D0,SQUA**2-QUAR)) IF(ABS(QUAR/SQUA**2).LT.1.D-06) SQMMAX=0.5D0*QUAR/SQUA SQMMAX=MIN(SQMMAX,(DBLE(VINT(1))-SQRT(SQMF))**2) VINT(59+3*JT-IS*(2*JT-3))=SQMMIN*(SQMMAX/SQMMIN)**RLU(0) 140 CONTINUE C...Choose t-hat according to exp(B*t-hat+C*t-hat^2). SQM3=VINT(63) SQM4=VINT(64) SQLA34=(SH-SQM3-SQM4)**2-4D0*SQM3*SQM4 THTER1=SQM1+SQM2+SQM3+SQM4-(SQM1-SQM2)*(SQM3-SQM4)/SH-SH THTER2=SQRT(MAX(0D0,SQLA12))*SQRT(MAX(0D0,SQLA34))/SH THL=0.5D0*(THTER1-THTER2) THU=0.5D0*(THTER1+THTER2) B=VINT(121) C=VINT(122) IF(ISUB.EQ.92.OR.ISUB.EQ.93) THEN B=0.5D0*B C=0.5D0*C ENDIF THM=MIN(MAX(THL,DBLE(PARP(101))),THU) EXPTH=0D0 THARG=B*(THM-THU) IF(THARG.GT.-20D0) EXPTH=EXP(THARG) 150 TH=THU+LOG(EXPTH+(1D0-EXPTH)*DBLE(RLU(0)))/B TH=MAX(THM,MIN(THU,TH)) RATLOG=MIN((B+C*(TH+THM))*(TH-THM),(B+C*(TH+THU))*(TH-THU)) IF(RATLOG.LT.LOG(RLU(0))) GOTO 150 VINT(21)=1. VINT(22)=0. VINT(23)=MIN(1D0,MAX(-1D0,(2D0*TH-THTER1)/THTER2)) VINT(45)=TH THTER3=4D0*(SQM1-SQM3)*(SQM4-SQM2)+ & 4D0*(SQM2*SQM3-SQM1*SQM4)*(SQM1+SQM4-SQM2-SQM3)/SH VINT(57)=SQRT(MAX(0D0,THTER3+4D0*TH*(THTER1-TH)))/THTER2 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) GOTO 100 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) GOTO 100 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) GOTO 100 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) GOTO 100 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) GOTO 100 ENDIF C...Low-pT or multiple interactions (first semihard interaction). ELSEIF(ISTSB.EQ.9) THEN CALL PYMULT(3) ISUB=MINT(1) 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) CALL PYKLIM(0) IF(MINT(51).NE.0) GOTO 100 IF(MINT(82).EQ.1.AND.MSTP(141).GE.1) THEN MCUT=0 IF(MSUB(91)+MSUB(92)+MSUB(93)+MSUB(94)+MSUB(95).EQ.0) & CALL PYKCUT(MCUT) IF(MCUT.NE.0) GOTO 100 ENDIF C...Calculate differential cross-section for different subprocesses. CALL PYSIGH(NCHN,SIGS) C...Calculations for Monte Carlo estimate of all cross-sections. IF(MINT(82).EQ.1.AND.ISUB.LE.90.OR.ISUB.GE.96) THEN XSEC(ISUB,2)=XSEC(ISUB,2)+SIGS ELSEIF(MINT(82).EQ.1) THEN XSEC(ISUB,2)=XSEC(ISUB,2)+XSEC(ISUB,1) ENDIF C...Multiple interactions: store results of cross-section calculation. IF(MINT(44).EQ.4.AND.MSTP(82).GE.3) THEN VINT(153)=SIGS CALL PYMULT(4) ENDIF C...Weighting using estimate of maximum of differential cross-section. C...Check that weight not negative! VIOL=SIGS/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 IF(VIOL.LT.RLU(0)) GOTO 100 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(44).EQ.4.AND.(ISUB.LE.90.OR.ISUB.GE.96).AND.MSTP(82).GE.3) &THEN CALL PYMULT(5) IF(VINT(150).LT.RLU(0)) GOTO 100 ENDIF 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). 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 160 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 170 160 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. 170 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...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) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/ DIMENSION WDTP(0:40),WDTE(0:40,0:5),PMQ(2),Z(2),CTHE(2),PHI(2) 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...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 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 100 JT=1,MSTP(126)+10 I=MINT(83)+JT DO 100 J=1,5 K(I,J)=0 P(I,J)=0. 100 V(I,J)=0. DO 110 JT=1,2 I=MINT(83)+JT K(I,1)=21 K(I,2)=MINT(10+JT) P(I,1)=0. P(I,2)=0. P(I,5)=VINT(2+JT) P(I,3)=VINT(5)*(-1)**(JT+1) 110 P(I,4)=SQRT(P(I,3)**2+P(I,5)**2) 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 120 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) 120 P(I,4)=0.5*SHUSER C...Copy incoming partons to documentation lines. DO 130 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 130 J=1,5 130 P(I1,J)=P(I2,J) 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) 140 RKFL=(WDTE(0,1)+WDTE(0,2)+WDTE(0,4))*RLU(0) DO 150 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 160 150 CONTINUE 160 CONTINUE IF(ISUB.EQ.12.AND.MSTP(5).EQ.1.AND.IABS(MINT(15)).LE.2.AND. & IABS(KFLF).GE.3) THEN FACQQB=VINT(56)**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 140 ELSEIF(ISUB.EQ.54) THEN IF((KCHG(IABS(KFLF),1)/2.)**2.LT.RLU(0)) GOTO 140 ELSEIF(ISUB.EQ.58) THEN IF((KCHG(IABS(KFLF),1)/3.)**2.LT.RLU(0)) GOTO 140 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(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)) 170 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 170 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 170 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 170 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 170 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 180 DO 200 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 190 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 190 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 200 190 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 200 PMQ(JT)=ULMASS(MINT(20+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 180 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 180 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 180 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 180 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 180 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 220 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 210 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 210 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 220 210 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 220 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 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+JS)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 240 230 CONTINUE 240 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 250 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 250 MINT(20+JS)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 260 250 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JS)=ISIGN(IB,I) ENDIF 260 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)) 270 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 270 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 270 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 270 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 270 KCC=22 ELSEIF(ISUB.EQ.73) THEN C...Z0 + W+/- -> Z0 + W+/-. XH=SH/SHP 280 JT=INT(1.5+RLU(0)) I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 290 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 290 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 300 290 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 300 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 280 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 280 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 280 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 280 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 280 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 310 DO 330 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 320 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 320 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 330 320 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 330 PMQ(JT)=ULMASS(MINT(20+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 310 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 310 SQC1=1.-4.*PMQ(JT)**2/(Z(JT)**2*SHP) IF(SQC1.LT.1.E-8) GOTO 310 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 310 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 310 KCC=22 ELSEIF(ISUB.EQ.78) THEN C...W+/- + H0 -> W+/- + H0. ELSEIF(ISUB.EQ.79) THEN C...H0 + H0 -> H0 + H0. 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) 340 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 340 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 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 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 360 JT=1,2 I=MINT(14+JT) IA=IABS(I) IF(IA.LE.10) THEN RVCKM=VINT(180+I)*RLU(0) DO 350 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 350 MINT(20+JT)=ISIGN(IB,I) RVCKM=RVCKM-VCKM((IA+1)/2,(IB+1)/2) IF(RVCKM.LE.0.) GOTO 360 350 CONTINUE ELSE IB=2*((IA+1)/2)-1+MOD(IA,2) MINT(20+JT)=ISIGN(IB,I) ENDIF 360 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)) 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(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 q + l -> LQ and q + g -> q*. IF(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 370 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) 370 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)) 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 380 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 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 380 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 390 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)) 390 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 400 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 400 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 410 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)) 410 P(IZW,5)=-SQRT(MAX(0.,P(IZW,3)**2+PTABS**2-P(IZW,4)**2)) 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 420 J=1,5 420 P(I,J)=P(IPU5,J) 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 430 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) 430 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 440 JT=1,2 I1=MINT(83)+8+JT I2=MINT(84)+4+JT K(I1,1)=21 K(I1,2)=K(I2,2) DO 440 J=1,5 440 P(I1,J)=P(I2,J) N=IPU6 MINT(7)=MINT(83)+9 MINT(8)=MINT(83)+10 ENDIF IF(IDOC.GE.8.AND.ISET(ISUB).NE.6) THEN C...Store colour connection indices. DO 450 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)) 450 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)) C...Copy outgoing partons to documentation lines. IMAX=2 IF(IDOC.EQ.9) IMAX=3 DO 460 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 460 J=1,5 460 P(I1,J)=P(I2,J) ELSEIF(IDOC.EQ.9) THEN C...Store colour connection indices. DO 470 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)) 470 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)) C...Copy outgoing partons to documentation lines. DO 480 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 480 J=1,5 480 P(I1,J)=P(I2,J) 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 490 J=41,66 490 VINT(J)=0. DO 500 I=MINT(83)+5,MINT(83)+8 DO 500 J=1,5 500 P(I,J)=0. 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),XFGA(-25:25) C...Read out basic information; set global Q^2 scale. IPUS1=IPU1 IPUS2=IPU2 ISUB=MINT(1) Q2MX=VINT(54) IF(ISET(ISUB).EQ.2) Q2MX=PARP(67)*VINT(54) C...Initialize QCD evolution and check phase space. MCEV=0 XEC0=2.*PARP(65)/VINT(1) ALAMS=PARU(111) PARU(111)=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(PARP(62)**2,2.*PARP(61)**2).OR.TCMX.LT.0.2) & MCEV=0 ENDIF C...Initialize QED evolution and check phase space. 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.PARP(68)**2.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 110 JT=1,2 MORE(JT)=1 KFLS(JT)=MINT(14+JT) KFLS(JT+2)=KFLS(JT) XS(JT)=VINT(40+JT) ZS(JT)=1. Q2S(JT)=Q2MX TEVCSV(JT)=TCMX ALAM(JT)=PARP(61) THE2(JT)=100. TEVESV(JT)=TEMX VINT(154+JT)=0. DO 110 KFL=-25,25 110 XFS(JT,KFL)=XSFX(JT,KFL) DSH=VINT(44) IF(ISET(ISUB).GE.3.AND.ISET(ISUB).LE.5) DSH=VINT(26)*VINT(2) C...Pick up leg with highest virtuality. 120 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 130 KFL=-25,25 130 XFB(KFL)=XFS(JT,KFL) 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 still kill joint QED/QCD shower and W shower. IF(IABS(KFLB).LE.10.OR.KFLB.EQ.21.OR.IABS(KFLB).EQ.24) THEN MCEV=0 MEEV=0 ENDIF ENDIF IF(MCEV.EQ.0.AND.MEEV.EQ.0) THEN Q2B=0. GOTO 220 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...Calculate Altarelli-Parisi and structure function weights. DO 140 KFL=-25,25 WTAPC(KFL)=0. WTAPE(KFL)=0. 140 WTSF(KFL)=0. C...q -> q, g -> q, gamma -> 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)) IF(MEEV.EQ.1) THEN CALL PYSTFU(22,XB,Q2B,XFGA) WTAPE(22)=(PARU(2)/PARU(101))*XFGA(KFLB)* & (XB/(XB+XEC)-XB/(1.-XEC)) XFGAS=XFGA(KFLB) ENDIF 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, gamma -> g. ELSEIF(KFLB.EQ.21) THEN WTAPQ=(16./3.)*(SQRT((1.-XEC)/XB)-SQRT((XB+XEC)/XB)) DO 150 KFL=1,MSTP(54) WTAPC(KFL)=WTAPQ 150 WTAPC(-KFL)=WTAPQ WTAPC(21)=6.*LOG((1.-XEC-XB)/XEC) IF(MEEV.EQ.1) THEN CALL PYSTFU(22,XB,Q2B,XFGA) WTAPE(22)=(PARU(2)/PARU(101))*XFGA(21)* & (XB/(XB+XEC)-XB/(1.-XEC)) XFGAS=XFGA(21) WTGASV=XFGA(21) Q2BSVV=Q2B ENDIF 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 160 WTSUMC=0. WTSUME=0. XFBO=XFB(KFLB) DO 170 KFL=-25,25 WTSF(KFL)=XFB(KFL)/XFBO WTSUMC=WTSUMC+WTAPC(KFL)*WTSF(KFL) 170 WTSUME=WTSUME+WTAPE(KFL)*WTSF(KFL) 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). 180 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. 190 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.PARP(62)**2) MCE=1 ELSEIF(MCEV.EQ.0.AND.MEEV.EQ.1) THEN IF(Q2EB.GT.PARP(68)**2) MCE=2 ELSEIF(PARP(62).GT.PARP(68)) THEN MCE=1 IF(Q2EB.GT.Q2CB.OR.Q2CB.LE.PARP(62)**2) MCE=2 IF(MCE.EQ.2.AND.Q2EB.LE.PARP(68)**2) MCE=0 ELSE MCE=2 IF(Q2CB.GT.Q2EB.OR.Q2EB.LE.PARP(68)**2) MCE=1 IF(MCE.EQ.1.AND.Q2CB.LE.PARP(62)**2) MCE=0 ENDIF C...Evolution possibly ended. Update t values. IF(MCE.EQ.0) THEN Q2B=0. GOTO 220 ELSEIF(MCE.EQ.1) THEN Q2B=Q2CB Q2REF=FQ2C*Q2B IF(MEEV.EQ.1) TEVEB=ALOG(Q2B/SPME) ELSE Q2B=Q2EB Q2REF=Q2B IF(MCEV.EQ.1) TEVCB=ALOG(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=-25 200 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 200 IF(KFLA.EQ.25) THEN Q2B=0. GOTO 220 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 -> q + q~. ELSEIF(KFLA.EQ.22.AND.IABS(KFLB).LE.10) THEN Z=XB/(1.-XEC)+RLU(0)*(XB/(XB+XEC)-XB/(1.-XEC)) CALL PYSTFU(22,Z,Q2B,XFGA) WTZ=XFGA(KFLB)/(Z*XFGAS) 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) C...gamma -> g + g. ELSEIF(KFLA.EQ.22.AND.KFLB.EQ.21) THEN Z=XB/(1.-XEC)+RLU(0)*(XB/(XB+XEC)-XB/(1.-XEC)) CALL PYSTFU(22,Z,Q2B,XFGA) WTZ=XFGA(21)/(Z*XFGAS) 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 180 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.PARP(62)**2) GOTO 180 ALPRAT=TEVCB/(TEVCB+LOG(1.-Z)) IF(ALPRAT.LT.5.*RLU(0)) GOTO 180 IF(ALPRAT.GT.5.) WTZ=WTZ*ALPRAT/5. 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 180 ENDIF ENDIF C...Weighting with new structure functions. CALL PYSTFU(MINT(10+JT),XB,Q2REF,XFN) 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 160 ELSEIF(MCE.EQ.1.AND.TEVCBS-TEVCB.GT.0.2) THEN TEVCB=0.5*(TEVCBS+TEVCB) GOTO 190 ELSEIF(MCE.EQ.2.AND.TEVEBS-TEVEB.GT.0.2) THEN TEVEB=0.5*(TEVEBS+TEVEB) GOTO 190 ELSE XFBN=1E-10 XFN(KFLB)=XFBN ENDIF ENDIF DO 210 KFL=-25,25 210 XFB(KFL)=XFN(KFL) XA=XB/Z CALL PYSTFU(MINT(10+JT),XA,Q2REF,XFA) XFAN=XFA(KFLA) IF(XFAN.LT.1E-20) GOTO 160 WTSFA=WTSF(KFLA) IF(WTZ*XFAN/XFBN.LT.RLU(0)*WTSFA) GOTO 160 C...Define two hard scatterers in their CM-frame. 220 IF(N.EQ.NS+2) THEN DQ2(JT)=Q2B DPLCM=SQRT((DSH+DQ2(1)+DQ2(2))**2-4D0*DQ2(1)*DQ2(2))/DSHR DO 240 JR=1,2 I=NS+JR IF(JR.EQ.1) IPO=IPUS1 IF(JR.EQ.2) IPO=IPUS2 DO 230 J=1,5 K(I,J)=0 P(I,J)=0. 230 V(I,J)=0. 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 240 K(IPO,5)=MOD(K(IPO,5),MSTU(5))+MSTU(5)*I 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.(0.5*PARP(62))**2.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 250 J=1,5 K(IT,J)=0 P(IT,J)=0. 250 V(IT,J)=0. 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 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)=0 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 260 J=1,5 K(N+1,J)=0 P(N+1,J)=0. 260 V(N+1,J)=0. 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...Redefine maximum Q^2 when QED shower <- QCD shower. IS(JT)=N DQ2(JT)=Q2B IF(MSTP(62).GE.3) THE2(JT)=THE2T DSH=DSHZ IF(KFLA.EQ.22.AND.(IABS(KFLB).LE.10.OR.KFLB.EQ.21)) THEN VINT(154+JT)=XA MEEV=1 IF(MSTP(13).LE.1) THEN Q2B=Q2MX ELSE Q2B=PARP(13) ENDIF TEVEB=LOG(Q2B/SPME) CALL PYSTFU(MINT(10+JT),XA,Q2B,XFA) ENDIF C...Save quantities; loop back. Q2S(JT)=Q2B IF((MCEV.EQ.1.AND.Q2B.GE.(0.5*PARP(62))**2).OR. &(MEEV.EQ.1.AND.Q2B.GE.PARP(68)**2)) THEN KFLS(JT+2)=KFLS(JT) KFLS(JT)=KFLA XS(JT)=XA ZS(JT)=Z DO 270 KFL=-25,25 270 XFS(JT,KFL)=XFA(KFL) 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 120 C...Boost hard scattering partons to frame of shower initiators. DO 280 J=1,3 280 ROBO(J+2)=(P(NS+1,J)+P(NS+2,J))/(P(NS+1,4)+P(NS+2,4)) K(N+2,1)=1 DO 290 J=1,5 290 P(N+2,J)=P(NS+1,J) 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 300 JT=1,2 MINT(12+JT)=KFLS(JT) 300 VINT(140+JT)=XS(JT) PARU(111)=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(10,6),KDCY(2),KFL1(2),KFL2(2),KEQL(2),NSD(2), &ILIN(6),HGZ(2,3),COUP(6,4),CORL(2,2,2),PK(6,4),PKK(6,6), &CTHE(2),PHI(2),WDTP(0:40),WDTE(0:40,0:5),DBEZQQ(3) 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 two objects. ISUB=MINT(1) IF(ISET(ISUB).EQ.1.OR.ISET(ISUB).EQ.3.OR.ISET(ISUB).EQ.5) THEN IREF(1,1)=MINT(84)+2+MIN(3,ISET(ISUB)) IREF(1,2)=0 IREF(1,3)=MINT(83)+6+MIN(3,ISET(ISUB)) IREF(1,4)=0 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(1,3)=MINT(83)+5+ISET(ISUB) IREF(1,4)=MINT(83)+6+ISET(ISUB) ELSEIF(ISET(ISUB).EQ.6) THEN IREF(1,1)=MINT(84)+3 IREF(1,2)=0 IREF(1,3)=MINT(83)+7 IREF(1,4)=0 ENDIF C...Check if initial resonance has been moved (in resonance + jet). IF(K(IREF(1,1),1).GT.10) THEN KFA=IABS(K(IREF(1,1),2)) KDA=MOD(K(IREF(1,1),4),MSTU(4)) IF(KFA.GE.23.AND.KFA.LE.40.AND.KDA.GT.1) IREF(1,1)=KDA ENDIF IF(IREF(1,2).GT.0) THEN IF(K(IREF(1,2),1).GT.10) THEN KFA=IABS(K(IREF(1,2),2)) KDA=MOD(K(IREF(1,2),4),MSTU(4)) IF(KFA.GE.23.AND.KFA.LE.40.AND.KDA.GT.1) IREF(1,2)=KDA ENDIF ENDIF IREF(1,5)=0 IREF(1,6)=0 C...Loop over decay history. NP=1 IP=0 100 IP=IP+1 NINH=0 JTMAX=2 IF(IP.EQ.1.AND.IREF(1,2).EQ.0) JTMAX=1 NSAV=N C...Start treatment of one or two resonances in parallel. 110 N=NSAV DO 130 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 130 KFA=IABS(K(ID,2)) IF((KFA.LT.23.OR.KFA.GT.40).AND.KFA.NE.7.AND.KFA.NE.8.AND. &KFA.NE.17.AND.KFA.NE.18) GOTO 130 IF(MSTP(6).NE.1.AND.KFA.LE.20) GOTO 130 IF(K(ID,1).GT.10.OR.MDCY(KFA,1).EQ.0) GOTO 130 C...Select decay channel. IF(ISET(ISUB).NE.6) THEN IF(ISUB.EQ.1.OR.ISUB.EQ.22.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 KFB=0 IF(JTMAX.EQ.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 130 RKFL=WDTE0S*RLU(0) IDL=0 120 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 120 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 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 leptoquark and q*. MSTU(10)=1 IF(KFA.EQ.39.OR.(MSTP(6).EQ.1.AND.(KFA.EQ.7.OR.KFA.EQ.8))) 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.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)=2 130 IF(KFA.GE.23.AND.KFA.LE.40.AND.KFL1(JT).EQ.0) NINH=NINH+1 C...Check for allowed combinations. Skip if no decays. IF(ISET(ISUB).EQ.6) GOTO 280 IF(JTMAX.EQ.2) THEN IF(KEQL(1).EQ.4.AND.KEQL(2).EQ.4) GOTO 110 IF(KEQL(1).EQ.5.AND.KEQL(2).EQ.5) GOTO 110 ENDIF IF(JTMAX.EQ.1.AND.KDCY(1).EQ.0) GOTO 340 IF(JTMAX.EQ.2.AND.KDCY(1).EQ.0.AND.KDCY(2).EQ.0) GOTO 340 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,5).EQ.25.OR.IREF(IP,5).EQ.35.OR.IREF(IP,5). & 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 140 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 140 CONTINUE C...Find charge, isospin, left- and righthanded couplings. DO 160 I=IMIN,IMAX DO 150 J=1,4 150 COUP(I,J)=0. KFA=IABS(K(ILIN(I),2)) IF(KFA.EQ.0.OR.KFA.GT.20) GOTO 160 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) 160 CONTINUE C...Full propagator dependence and flavour correlations for 2 gamma*/Z. IF(ISUB.EQ.22) THEN DO 170 I=3,5,2 I1=IORD IF(I.EQ.5) I1=3-IORD DO 170 J1=1,2 DO 170 J2=1,2 170 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 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 110 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.AND.IABS(K(IREF(2,1),2)).EQ.37) MZPWP=2 IAKIR=IABS(K(IREF(2,2),2)) IF(IP.EQ.2.AND.(IAKIR.EQ.25.OR.IAKIR.EQ.35.OR.IAKIR.EQ.36)) & MZPWP=2 IF(IP.GE.3) MZPWP=2 ELSEIF(ISUB.EQ.142) THEN IF(RLU(0).LT.PARU(136)) MZPWP=1 IAKIR=IABS(K(IREF(2,2),2)) IF(IP.EQ.2.AND.(IAKIR.EQ.25.OR.IAKIR.EQ.35.OR.IAKIR.EQ.36)) & MZPWP=2 IF(IP.GE.3) MZPWP=2 ENDIF C...Select random angles (begin of weighting procedure). 180 DO 190 JT=1,JTMAX IF(KDCY(JT).EQ.0) GOTO 190 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 190 CONTINUE IF(JTMAX.EQ.2.AND.MSTP(47).GE.1.AND.NINH.EQ.0) THEN C...Construct massless four-vectors. DO 200 I=N+1,N+4 K(I,1)=1 DO 200 J=1,5 200 P(I,J)=0. DO 210 JT=1,JTMAX IF(KDCY(JT).EQ.0) GOTO 210 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))) 210 CONTINUE C...Store incoming and outgoing momenta, with random rotation to C...avoid accidental zeroes in HA expressions. DO 220 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 220 J=1,3 220 P(N+4+I,J)=P(ILIN(I),J) 230 THERR=ACOS(2.*RLU(0)-1.) PHIRR=PARU(2)*RLU(0) CALL LUDBRB(N+5,N+4+IMAX,THERR,PHIRR,0D0,0D0,0D0) DO 240 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 230 DO 240 J=1,4 240 PK(I,J)=P(N+4+I,J) 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 250 I1=IMIN,IMAX-1 DO 250 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) 250 HC(I2,I1)=-HC(I1,I2) ENDIF DO 260 I=1,2 DO 260 J=1,4 260 PK(I,J)=-PK(I,J) DO 270 I1=IMIN,IMAX-1 DO 270 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)) 270 PKK(I2,I1)=PKK(I1,I2) ENDIF IF(MSTP(47).LE.0.OR.NINH.NE.0) THEN C...Isotropic decay selected by user. WT=1. WTMAX=1. ELSEIF(IREF(IP,5).EQ.25.OR.IREF(IP,5).EQ.35.OR. &IREF(IP,5).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,6),5)**4 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 + Z0 -> C...-> gluon/gamma + 2 quarks/leptons. WT=((COUP(1,3)*COUP(3,3))**2+(COUP(1,4)*COUP(3,4))**2)* & (PKK(1,3)**2+PKK(2,4)**2)+((COUP(1,3)*COUP(3,4))**2+ & (COUP(1,4)*COUP(3,3))**2)*(PKK(1,4)**2+PKK(2,3)**2) WTMAX=(COUP(1,3)**2+COUP(1,4)**2)*(COUP(3,3)**2+COUP(3,4)**2)* & ((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 -> f + Z0 -> f + 2 quarks/leptons C...and for f + gamma -> f + Z0 -> f + 2 quarks/leptons. IF(K(ILIN(1),2).GT.0) WT=((COUP(1,3)*COUP(3,3))**2+ & (COUP(1,4)*COUP(3,4))**2)*(PKK(1,4)**2+PKK(3,5)**2)+ & ((COUP(1,3)*COUP(3,4))**2+(COUP(1,4)*COUP(3,3))**2)* & (PKK(1,3)**2+PKK(4,5)**2) IF(K(ILIN(1),2).LT.0) WT=((COUP(1,3)*COUP(3,3))**2+ & (COUP(1,4)*COUP(3,4))**2)*(PKK(1,3)**2+PKK(4,5)**2)+ & ((COUP(1,3)*COUP(3,4))**2+(COUP(1,4)*COUP(3,3))**2)* & (PKK(1,4)**2+PKK(3,5)**2) WTMAX=(COUP(1,3)**2+COUP(1,4)**2)*(COUP(3,3)**2+COUP(3,4)**2)* & ((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.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 C...Obtain correct angular distribution by rejection techniques. ELSE WT=1. WTMAX=1. ENDIF IF(WT.LT.RLU(0)*WTMAX) GOTO 180 C...Construct massive four-vectors using angles chosen. Mark decayed C...resonances, add documentation lines. Shower evolution. 280 DO 330 JT=1,JTMAX IF(KDCY(JT).EQ.0) GOTO 330 ID=IREF(IP,JT) IF(ISET(ISUB).NE.6) THEN CALL LUDBRB(NSD(JT)+1,NSD(JT)+2,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))) ELSE C...Z + q + q~ : angles already known, in rest frame of system. DO 290 J=1,3 290 DBEZQQ(J)=(P(ID,J)+P(ID+1,J)+P(ID+2,J))/(P(ID,4)+P(ID+1,4)+ & P(ID+2,4)) K(N+1,1)=1 DO 300 J=1,5 300 P(N+1,J)=P(ID,J) 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.39.OR.(MSTP(6).EQ.1.AND.(KFA.EQ.7.OR.KFA.EQ.8))) THEN C...Do not kill colour flow through leptoquark or q*! ELSE K(ID,4)=NSD(JT)+1 K(ID,5)=NSD(JT)+2 ENDIF IDOC=MINT(83)+MINT(4) DO 320 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) THEN MINT(4)=MINT(4)+1 K(I1,1)=21 K(I1,2)=K(I,2) K(I1,3)=IREF(IP,JT+2) DO 310 J=1,5 310 P(I1,J)=P(I,J) ENDIF 320 CONTINUE IF(MSTP(71).GE.1.AND.KDCY(JT).EQ.1) CALL LUSHOW(NSD(JT)+1, &NSD(JT)+2,P(ID,5)) C...Check if new resonances were produced. IF(KDCY(JT).NE.3) GOTO 330 NP=NP+1 IREF(NP,1)=NSD(JT)+1 IREF(NP,2)=NSD(JT)+2 IREF(NP,3)=IDOC+1 IREF(NP,4)=IDOC+2 IREF(NP,5)=K(IREF(IP,JT),2) IREF(NP,6)=IREF(IP,JT) 330 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 340 IF(IP.LT.NP) GOTO 100 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) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT5/ 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) 110 SIGM(IXT2)=SIGM(IXT2)+SIGS 120 SIGSUM=SIGSUM+SIGM(IXT2) SIGSUM=SIGSUM/(20.*MSTP(83)) C...Reject result if sigma(parton-parton) is smaller than hadronic one. IF(SIGSUM.LT.1.1*VINT(106)) 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/VINT(106) 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(100.,B**2))+2.*PARP(83)* & (1.-PARP(83))*2./(1.+CQ2)*EXP(-MIN(100.,B**2*2./(1.+CQ2)))+ & PARP(83)**2/CQ2*EXP(-MIN(100.,B**2/CQ2)))/PARU(2) ENDIF PACC=1.-EXP(-MIN(100.,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)/VINT(106)*VINT(149)/(1.-VINT(149)) ELSEIF(MSTP(82).EQ.2) THEN XT2=1. XT2FAC=VINT(146)*XSEC(96,1)/VINT(106)*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) NMUL(IRBIN)=NMUL(IRBIN)+1 IF(ISUB.EQ.96) SIGM(IRBIN)=SIGM(IRBIN)+VINT(153) 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(100.,B2))+2.*PARP(83)* & (1.-PARP(83))*2./(1.+CQ2)*EXP(-MIN(100.,B2*2./(1.+CQ2)))+ & PARP(83)**2/CQ2*EXP(-MIN(100.,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) 150 SIGCOR=SIGCOR+SIGM(IBIN) SIGABV=(SIGCOR/RNCOR)*VINT(149)*(1.-XTS)/(XTS+VINT(149)) VINT(150)=EXP(-MIN(100.,VINT(146)*VINT(148)*SIGABV/VINT(106))) C...Generate additional multiple semihard interactions. ELSEIF(MMUL.EQ.6) THEN ISUBSV=MINT(1) DO 160 J=11,80 160 VINTSV(J)=VINT(J) ISUB=96 MINT(1)=96 C...Reconstruct strings in hard scattering. NMAX=MINT(84)+4 IF(ISET(ISUBSV).EQ.1) NMAX=MINT(84)+2 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) XT2=(4.*VINT(48)+2.*VINT(63)+2.*VINT(64))/ & VINT(2) IF(ISET(ISUBSV).EQ.3.OR.ISET(ISUBSV).EQ.4) XT2=VINT(26) IF(MSTP(82).LE.1) THEN XT2FAC=XSEC(ISUB,1)*VINT(149)/((1.-VINT(149))*VINT(106)) ELSE XT2FAC=VINT(146)*VINT(148)*XSEC(ISUB,1)/VINT(106)* & 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 230 ELSE IF(XT2.LE.0.01*VINT(149)) GOTO 230 XT2=XT2FAC*(XT2+VINT(149))/(XT2FAC-(XT2+VINT(149))* & LOG(RLU(0)))-VINT(149) IF(XT2.LE.0.) GOTO 230 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 200 I=N+1,N+2 DO 200 J=1,5 K(I,J)=0 P(I,J)=0. 200 V(I,J)=0. 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 220 I=N+1,N+2 DMIN=1E8 DO 210 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 210 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 220 NSTR=NSTR+1 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 190 230 CONTINUE MINT(1)=ISUBSV DO 240 J=11,80 240 VINT(J)=VINTSV(J) 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. 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) C...Find event type and remaining energy. ISUB=MINT(1) NS=N IF(MINT(44).NE.4.OR.MSTP(81).LE.0) THEN VINT(143)=1.-VINT(141) VINT(144)=1.-VINT(142) ENDIF C...Define initial partons. 100 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. IF(MINT(47).EQ.1) THEN DO 110 J=1,5 110 P(I,J)=P(I-2,J) 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. 120 IF(MINT(40+JT).EQ.1.OR.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 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...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 140 JT=1,2 PSYS(JT,4)=0.5*VINT(1)*VINT(142+JT) PMIN(JT)=0. IF(MINT(44+JT).EQ.1) GOTO 140 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) 140 CONTINUE IF(PMIN(0)+PMIN(1)+PMIN(2).GT.VINT(1).OR.PMIN(1).GT.PSYS(1,4).OR. &PMIN(2).GT.PSYS(2,4)) THEN MINT(51)=1 RETURN ENDIF C...Loop over two remnants; skip if none there. I=NS DO 210 JT=1,2 ISN(JT)=0 IF(MINT(44+JT).EQ.1) GOTO 210 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 150 J=1,5 K(I,J)=0 P(I,J)=0. 150 V(I,J)=0. 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.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 160 J=1,5 K(I,J)=0 P(I,J)=0. 160 V(I,J)=0. 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. 170 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***Relative distribution for electron into two electrons. Temporary! IMB=1 IF(MOD(MINT(10+JT)/1000,10).NE.0) IMB=2 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) T=ALOG(MIN(1E4,MAX(1.,VINT(54)))/0.16) NFE=1 IF(VINT(54).GT.25.) NFE=2 IF(VINT(54).GT.300.) NFE=3 CALL PYSTGA(NFE,XHRD,T,XPGL1,XPQU1,XPQD1) CALL PYSTGA(NFE,0.999999,T,XPGL2,XPQU2,XPQD2) IF(KFLCH(JT).EQ.21) THEN WTMX=2.*MAX(XPGL1,XPGL2) ELSEIF(MOD(IABS(KFLCH(JT)),2).EQ.0) THEN WTMX=2.*MAX(XPQU1,XPQU2) ELSE WTMX=2.*MAX(XPQD1,XPQD2) ENDIF 180 XE=XHRD**RLU(0) XG=MIN(0.999999,XHRD/XE) XPGA=1.+(1.-XE)**2 CALL PYSTGA(NFE,XG,T,XPGL,XPQU,XPQD) IF(KFLCH(JT).EQ.21) THEN WT=XPGA*XPGL ELSEIF(MOD(IABS(KFLCH(JT)),2).EQ.0) THEN WT=XPGA*XPQU ELSE WT=XPGA*XPQD ENDIF IF(WT.LT.RLU(0)*WTMX) GOTO 180 CHI(JT)=(XE-XHRD)/(1.-XHRD) VINT(154+JT)=XE 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) 190 CHI(JT)=RLU(0)**2 IF((CHI(JT)**2/(CHI(JT)**2+CUT**2))**0.25*(1.-CHI(JT))**CHIK & .LT.RLU(0)) GOTO 190 ELSE CUT=2.*0.3/VINT(1) CUTR=(1.+SQRT(1.+CUT**2))/CUT 200 CHIR=CUT*CUTR**RLU(0) CHI(JT)=(CHIR**2-CUT**2)/(2.*CHIR) IF((1.-CHI(JT))**CHIK.LT.RLU(0)) GOTO 200 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) GOTO 170 PSYS(JT,3)=SQRT(PSYS(JT,4)**2-PMS(JT))*(-1)**(JT-1) 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 210 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...Construct longitudinal boosts. 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 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.) C...Perform longitudinal boosts. IF(IR.EQ.1) THEN CALL LUDBRB(IS(1),IS(1)+ISN(1)-1,0.,0.,0D0,0D0,DBLE(BER)) 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)) ELSE CALL LUDBRB(I1,NS,0.,0.,0D0,0D0,DBLE(BEL)) 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/ C...Reset K, P and V vectors. Store incoming particles. DO 100 JT=1,MSTP(126)+10 I=MINT(83)+JT DO 100 J=1,5 K(I,J)=0 P(I,J)=0. 100 V(I,J)=0. N=MINT(84) MINT(3)=0 MINT(21)=0 MINT(22)=0 MINT(23)=0 MINT(24)=0 MINT(4)=4 DO 110 JT=1,2 I=MINT(83)+JT K(I,1)=21 K(I,2)=MINT(10+JT) P(I,5)=VINT(2+JT) P(I,3)=VINT(5)*(-1)**(JT+1) 110 P(I,4)=SQRT(P(I,3)**2+P(I,5)**2) 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 150 JT=1,2 I=MINT(83)+JT PE=(VINT(2)+VINT(62+JT)-VINT(65-JT))/(2.*VINT(1)) C...Elastically scattered particle. IF(MINT(16+JT).LE.0) THEN N=N+1 K(N,1)=1 K(N,2)=K(I,2) K(N,3)=I+2 P(N,3)=PZ*(-1)**(JT+1) P(N,4)=PE P(N,5)=P(I,5) C...Diffracted particle: valence quark kicked out. ELSEIF(MSTP(101).EQ.1) 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(K(I,2),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(K(I,2),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. 120 IMB=1 IF(MOD(K(I,2)/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) 130 CHI=RLU(0)**2 IF((CHI**2/(CHI**2+CUT**2))**0.25*(1.-CHI)**CHIK.LT. & RLU(0)) GOTO 130 ELSE CUT=2.*0.3/VINT(1) CUTR=(1.+SQRT(1.+CUT**2))/CUT 140 CHIR=CUT*CUTR**RLU(0) CHI=(CHIR**2-CUT**2)/(2.*CHIR) IF((1.-CHI)**CHIK.LT.RLU(0)) GOTO 140 ENDIF IF(CHI.LT.P(N,5)**2/VINT(62+JT).OR.CHI.GT.1.-P(N-2,5)**2/ & VINT(62+JT)) GOTO 120 SQM=P(N-2,5)**2/(1.-CHI)+P(N,5)**2/CHI IF((SQRT(SQM)+PARJ(32))**2.GE.VINT(62+JT)) GOTO 120 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)=MINT(10+JT) IF(MINT(16+JT).NE.0) K(I+2,2)=10*(MINT(10+JT)/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)) 150 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(57)),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) 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 100 XSEC(0,3)=XSEC(0,3)+XSEC(I,3) C...Rescale to known low-pT cross-section for standard QCD processes. IF(MSUB(95).EQ.1) THEN NGENS=NGEN(91,3)+NGEN(92,3)+NGEN(93,3)+NGEN(94,3)+NGEN(95,3) XSECS=XSEC(91,3)+XSEC(92,3)+XSEC(93,3)+XSEC(94,3)+XSEC(95,3) XMAXS=XSEC(95,1) IF(MSUB(91).EQ.1) XMAXS=XMAXS+XSEC(91,1) IF(MSUB(92).EQ.1) XMAXS=XMAXS+XSEC(92,1) IF(MSUB(93).EQ.1) XMAXS=XMAXS+XSEC(93,1) IF(MSUB(94).EQ.1) XMAXS=XMAXS+XSEC(94,1) FAC=1. IF(NGENS.LT.NGEN(0,3)) FAC=(XMAXS-XSECS)/(XSEC(0,3)-XSECS) 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(0,3)=XSEC(91,3)+XSEC(92,3)+XSEC(93,3)+XSEC(94,3)+ & XSEC(95,1) ENDIF C...Reset information on hard interaction. DO 110 J=1,200 MSTI(J)=0 110 PARI(J)=0. C...Copy integer valued information from MINT into MSTI. DO 120 J=1,31 120 MSTI(J)=MINT(J) C...Store cross-section and kinematics variables in PARI. PARI(1)=XSEC(0,3) PARI(2)=XSEC(0,3)/MINT(5) PARI(11)=VINT(1) PARI(12)=VINT(2) IF(ISUB.NE.95) THEN DO 130 J=13,24 130 PARI(J)=VINT(30+J) 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(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(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/ IF(IFRAME.LT.1.OR.IFRAME.GT.2) THEN WRITE(MSTU(11),5000) IFRAME,MINT(6) RETURN ENDIF IF(IFRAME.EQ.MINT(6)) RETURN IF(MINT(6).EQ.1) THEN C...Transform from fixed target or user specified frame to C...CM-frame of incoming particles. 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.) MINT(6)=2 ELSE C...Transform from particle CM-frame to fixed target or user specified C...frame. CALL LUROBO(VINT(6),VINT(7),VINT(8),VINT(9),VINT(10)) MINT(6)=1 ENDIF MSTI(6)=MINT(6) 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 100 I=0,40 WDTP(I)=0. DO 100 J=0,5 100 WDTE(I,J)=0. IF(KFLA.EQ.7.AND.MSTP(6).EQ.1) THEN C...d* (masked as particle code 7). DO 110 I=1,MDCY(7,3) IDC=I+MDCY(7,2)-1 IF(MDME(IDC,1).LT.0) GOTO 110 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 110 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 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 110 CONTINUE ELSEIF(KFLA.EQ.8.AND.MSTP(6).EQ.1) THEN C...u* (masked as particle code 8). DO 120 I=1,MDCY(8,3) IDC=I+MDCY(8,2)-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.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 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.17.AND.MSTP(6).EQ.1) THEN C...e* (masked as particle code 17). DO 130 I=1,MDCY(17,3) IDC=I+MDCY(17,2)-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(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 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.18.AND.MSTP(6).EQ.1) THEN C...nu*_e (masked as particle code 18). DO 140 I=1,MDCY(18,3) IDC=I+MDCY(18,2)-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(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 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.21) THEN C...QCD: DO 150 I=1,MDCY(21,3) IDC=I+MDCY(21,2)-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(I.LE.8) THEN C...QCD -> q + q~ WDTP(I)=(1.+2.*RM1)*SQRT(MAX(0.,1.-4.*RM1)) WID2=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 150 CONTINUE ELSEIF(KFLA.EQ.22) THEN C...QED photon. DO 160 I=1,MDCY(22,3) IDC=I+MDCY(22,2)-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(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)) WID2=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)) WID2=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 160 CONTINUE ELSEIF(KFLA.EQ.23) THEN C...Z0: ICASE=1 XWC=1./(16.*XW*(1.-XW)) FACH=AEM/3.*XWC*SH 170 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 180 I=1,MDCY(23,3) IDC=I+MDCY(23,2)-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 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.) 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. 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 WID2=1. 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 180 CONTINUE IF(MINT(61).GE.1) ICASE=3-ICASE IF(ICASE.EQ.2) GOTO 170 ELSEIF(KFLA.EQ.24) THEN C...W+/-: DO 190 I=1,MDCY(24,3) IDC=I+MDCY(24,2)-1 IF(MDME(IDC,1).LT.0) GOTO 190 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 190 IF(I.LE.16) THEN C...W+/- -> q + q~' FCOF=3.*RADC*VCKM((I-1)/4+1,MOD(I-1,4)+1) ELSEIF(I.LE.20) THEN C...W+/- -> l+/- + nu FCOF=1. ENDIF WDTP(I)=FCOF*(2.-RM1-RM2-(RM1-RM2)**2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) 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 190 CONTINUE ELSEIF(KFLA.EQ.25.OR.KFLA.EQ.35.OR.KFLA.EQ.36) THEN C...H0 (or H'0, or A0): DO 230 I=1,MDCY(KFHIGG,3) IDC=I+MDCY(KFHIGG,2)-1 IF(MDME(IDC,1).LT.0) GOTO 230 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 230 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 WID2=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 WID2=1. ELSEIF(I.EQ.13) THEN C...H0 -> g + g; quark loop contribution only ETARE=0. ETAIM=0. DO 200 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.AND.MOD(J,2).EQ.1) THEN ETAREJ=ETAREJ*PARU(151+10*IHIGG) ETAIMJ=ETAIMJ*PARU(151+10*IHIGG) ELSEIF(MSTP(4).GE.1.OR.IHIGG.GE.2) THEN ETAREJ=ETAREJ*PARU(152+10*IHIGG) ETAIMJ=ETAIMJ*PARU(152+10*IHIGG) ENDIF ETARE=ETARE+ETAREJ ETAIM=ETAIM+ETAIMJ 200 CONTINUE ETA2=ETARE**2+ETAIM**2 WDTP(I)=(AS/PARU(1))**2*ETA2 WID2=1. 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 210 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 210 CONTINUE ETA2=ETARE**2+ETAIM**2 WDTP(I)=(AEM/PARU(1))**2*0.5*ETA2 WID2=1. 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 220 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 220 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 -> 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.19.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 230 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. 240 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 250 I=1,MDCY(32,3) IDC=I+MDCY(32,2)-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(SQRT(RM1)+SQRT(RM2).GT.1..OR.MDME(IDC,1).LT.0) GOTO 250 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.) 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. 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 WID2=1. 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 250 CONTINUE IF(MINT(61).GE.1) ICASE=3-ICASE IF(ICASE.EQ.2) GOTO 240 ELSEIF(KFLA.EQ.34) THEN C...W'+/-: DO 260 I=1,MDCY(34,3) IDC=I+MDCY(34,2)-1 IF(MDME(IDC,1).LT.0) GOTO 260 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 260 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) ELSEIF(I.LE.20) THEN C...W'+/- -> l+/- + nu FCOF=PARU(133)**2+PARU(134)**2 ENDIF WDTP(I)=FCOF*0.5*(2.-RM1-RM2-(RM1-RM2)**2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) WID2=1. 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 260 CONTINUE ELSEIF(KFLA.EQ.37) THEN C...H+/-: DO 270 I=1,MDCY(37,3) IDC=I+MDCY(37,2)-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.) GOTO 270 IF(I.LE.4) THEN C...H+/- -> q + q~' WDTP(I)=3.*RADC*((RM1*PARU(141)**2+RM2/PARU(141)**2)* & (1.-RM1-RM2)-4.*RM1*RM2)* & SQRT(MAX(0.,(1.-RM1-RM2)**2-4.*RM1*RM2)) WID2=1. 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)) WID2=1. 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 270 CONTINUE ELSEIF(KFLA.EQ.39) THEN C...LQ (leptoquark). DO 280 I=1,MDCY(39,3) IDC=I+MDCY(39,2)-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 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 280 CONTINUE ELSEIF(KFLA.EQ.40) THEN C...R: DO 290 I=1,MDCY(40,3) IDC=I+MDCY(40,2)-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 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)) 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 290 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. 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) PMD(I)=PMAS(KFCA,1) PGD(I)=PMAS(KFCA,2) 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 170 FSUM1=FSUM1+0.5*(FPT1(IPT1)+FPT1(INX1(IPT1)))* & (XPT1(INX1(IPT1))-XPT1(IPT1)) 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 210 FSUM2=FSUM2+0.5*(FPT2(IPT2)+FPT2(INX2(IPT2)))* & (XPT2(INX2(IPT2))-XPT2(IPT2)) 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=1,2 250 IF(MBW(I).NE.0) VINT(80)=VINT(80)*1.25*(ATU(I)-ATL(I))/PARU(1) 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.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.22.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.22.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 120 SQM3=VINT(63) SQM4=VINT(64) 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) 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(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(X1.LT.CKIN(21).OR.X1.GT.CKIN(22)) MINT(51)=1 IF(X2.LT.CKIN(23).OR.X2.GT.CKIN(24)) MINT(51)=1 IF(XF.LT.CKIN(25).OR.XF.GT.CKIN(26)) MINT(51)=1 IF(YST.LT.CKIN(7).OR.YST.GT.CKIN(8)) MINT(51)=1 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.LT.1.E-6) GOTO 100 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) 100 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 110 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 110 P(I,5)=PMQ 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(CKIN(9).GT.CKIN(12)) YDCOSH=COSH(CKIN(9)-CKIN(12)) 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(CKIN(9)-CKIN(11)) YEPSMX=(RM3-RM4)*SINH(CKIN(10)-CKIN(12)) 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*(CKIN(9)+CKIN(11)-YDIFMN) YSTMX5=0.5*(CKIN(10)+CKIN(12)+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=CKIN(9)-0.5*LOG(MAX(YEX3MX,YEX4MX)) YSTMX6=CKIN(12)-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(CKIN(11)-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN(10)-YST))) CTNMX3=MIN(0.,(1.+RM3-RM4)/BE34*TANH(CKIN(12)-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN(9)-YST)) CTPMN3=MAX(0.,(1.+RM3-RM4)/BE34*TANH(CKIN(9)-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN(12)-YST)) CTPMX3=MAX(0.,MIN((1.+RM3-RM4)/BE34*TANH(CKIN(10)-YST), & -(1.-RM3+RM4)/BE34*TANH(CKIN(11)-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). 120 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 IF(PTSMX1.LT.PTSMN1.OR.PTSMX2.LT.PTSMN2) THEN MINT(51)=1 RETURN ENDIF 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 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 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) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/,/LUDAT3/ SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/ 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 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(ISUB) 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(57)**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. 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 ENDIF IF(ISTSB.EQ.9.AND.MSTP(82).GE.2) 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 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) C...Calculate parton structure functions. IF(ISTSB.LE.0) GOTO 150 IF(MINT(47).GE.2) THEN DO 100 I=3-MIN(2,MINT(45)),MIN(2,MINT(46)) XSF=X(I) IF(ISTSB.EQ.9) XSF=X(I)/VINT(142+I) CALL PYSTFU(MINT(10+I),XSF,Q2SF,XPQ) DO 100 KFL=-25,25 100 XSFX(I,KFL)=XPQ(KFL) 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(55)=AEM VINT(56)=AS C...Set flags for allowed reacting partons/leptons. DO 130 I=1,2 DO 110 J=-25,25 110 KFAC(I,J)=0 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 120 J=-25,25 KFAC(I,J)=KFIN(I,J) IF(IABS(J).GT.MSTP(54).AND.IABS(J).LE.10) KFAC(I,J)=0 IF(XSFX(I,J).LT.1E-10) KFAC(I,J)=0 120 CONTINUE ENDIF 130 CONTINUE C...Lower and upper limit for fermion flavour loops. MIN1=0 MAX1=0 MIN2=0 MAX2=0 DO 140 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 140 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) XWC=1./(16.*XW*(1.-XW)) C...Phase space integral in tau. COMFAC=PARU(1)*PARU(5)/VINT(2) IF(MINT(43).EQ.4) 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(ISUB,1)+(ATAU1/ATAU2)*COEF(ISUB,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(ISUB,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(ISUB,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(ISUB,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(ISUB,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)) H1=H1+(ATAU1/ATAU7)*COEF(ISUB,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(ISUB,8)*(YST-YSTMIN)+ & (AYST0/AYST2)*COEF(ISUB,9)*(YSTMAX-YST)+ & (AYST0/AYST3)*COEF(ISUB,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.)) H2=H2+(AYST0/AYST4)*COEF(ISUB,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.)) H2=H2+(AYST0/AYST5)*COEF(ISUB,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(ISUB,13)+ & (ACTH0/ACTH1)*COEF(ISUB,14)/MAX(RM34,RSQM-CTH)+ & (ACTH0/ACTH2)*COEF(ISUB,15)/MAX(RM34,RSQM+CTH)+ & (ACTH0/ACTH3)*COEF(ISUB,16)/MAX(RM34,RSQM-CTH)**2+ & (ACTH0/ACTH4)*COEF(ISUB,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(ISUB,18)+ & (ATAUP1/ATAUP2)*COEF(ISUB,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(ISUB,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...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(ISUB,1)+(ATAU1/ATAU2)*COEF(ISUB,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(ISUB,8)*(YST-YSTMIN)+ & (AYST0/AYST1)*COEF(ISUB,9)*(YSTMAX-YST)+ & (AYST0/AYST3)*COEF(ISUB,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)+(246./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)*246.**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. 150 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 160 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 160 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)) 160 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 180 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 180 IA=IABS(I) DO 170 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 170 JA=IABS(J) IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 170 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 170 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 170 CONTINUE 180 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 190 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 190 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 190 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 210 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 210 DO 200 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 200 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 200 CONTINUE 210 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 230 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 230 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 220 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 220 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.GT.0.) GOTO 220 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 220 CONTINUE 230 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 250 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 250 IA=IABS(I) DO 240 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 240 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 240 CONTINUE 250 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 270 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.MSTP(54).OR.KFAC(1,I).EQ.0) GOTO 270 DO 260 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.MSTP(54).OR.KFAC(2,J).EQ.0) GOTO 260 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 260 CONTINUE 270 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 280 I=1,2 280 FACCIB=FACCIB+COMFAC*(UH2/PARU(155)**4)*(WDTE(I,1)+WDTE(I,2)+ & WDTE(I,4)) ELSEIF(MSTP(5).GE.2) THEN FACCIB=FACQQB+COMFAC*(UH2/PARU(155)**4)*(WDTE(0,1)+WDTE(0,2)+ & WDTE(0,4)) ENDIF DO 290 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 290 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 290 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 300 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).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 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 300 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 310 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 310 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**2 310 CONTINUE ELSEIF(ISUB.EQ.15) THEN C...f + f~ -> g + Z0 (q + q~ -> g + Z0 only). FACZG=COMFAC*AS*AEM/(XW*(1.-XW))*1./18.* & (TH2+UH2+2.*SQM4*SH)/(TH*UH) FACZG=FACZG*WIDS(23,2) DO 320 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 320 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*(VI**2+AI**2) 320 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 340 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.10.OR.KFAC(1,I).EQ.0) GOTO 340 DO 330 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.10.OR.KFAC(2,J).EQ.0) GOTO 330 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 330 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) 330 CONTINUE 340 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 350 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 350 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**4 350 CONTINUE ELSEIF(ISUB.EQ.19) THEN C...f + f~ -> gamma + Z0. FACGZ=COMFAC*2.*AEM**2*XWC*(TH2+UH2+2.*SQM4*SH)/(TH*UH) FACGZ=FACGZ*WIDS(23,2) DO 360 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 360 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*(VI**2+AI**2) 360 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 380 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.20.OR.KFAC(1,I).EQ.0) GOTO 380 DO 370 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.20.OR.KFAC(2,J).EQ.0) GOTO 370 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 370 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 370 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) 370 CONTINUE 380 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 390 I=1,6 DO 390 J=1,3 390 HGZ(I,J)=0. HBW3=0. HBW4=0. RADC3=1.+ULALPS(SQM3)/PARU(1) RADC4=1.+ULALPS(SQM4)/PARU(1) DO 400 I=1,MIN(16,MDCY(23,3)) IDC=I+MDCY(23,2)-1 IF(MDME(IDC,1).LT.0) GOTO 400 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 400 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 410 J=1,3 HGZ(1,J)=HGZ(1,J)*VINT(111)/SQM3 HGZ(2,J)=HGZ(2,J)*VINT(112)/SQM3 410 HGZ(3,J)=HGZ(3,J)*VINT(114)/SQM3 MINT(61)=1 CALL PYWIDT(23,SQM4,WDTP,WDTE) DO 420 J=1,3 HGZ(4,J)=HGZ(4,J)*VINT(111)/SQM4 HGZ(5,J)=HGZ(5,J)*VINT(112)/SQM4 420 HGZ(6,J)=HGZ(6,J)*VINT(114)/SQM4 C...Loop over flavours; separate left- and right-handed couplings. DO 440 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 440 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 430 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) 430 HR4(J)=EI**2*HGZ(4,J)+EI*VARI*HGZ(5,J)+VARI**2*HGZ(6,J) 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) 440 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 460 I=MIN1,MAX1 IA=IABS(I) IF(I.EQ.0.OR.IA.GT.20.OR.KFAC(1,I).EQ.0) GOTO 460 DO 450 J=MIN2,MAX2 JA=IABS(J) IF(J.EQ.0.OR.JA.GT.20.OR.KFAC(2,J).EQ.0) GOTO 450 IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 450 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 450 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) 450 CONTINUE 460 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*SQMZ)/((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 470 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 470 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) 470 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 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+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 480 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*SQMW)/ & ((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 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(1,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 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) 490 CONTINUE 500 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 520 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.10) GOTO 520 DO 510 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 510 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 510 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 510 CONTINUE 520 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 540 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54)) GOTO 540 EI=KCHG(IABS(I),1)/3. FACGQ=FGQ*EI**2 DO 530 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 530 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 530 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGQ 530 CONTINUE 540 CONTINUE ELSEIF(ISUB.EQ.30) THEN C...f + g -> f + Z0 (q + g -> q + Z0 only). FZQ=COMFAC*FACA*AS*AEM*XWC*1./3.* & (SH2+UH2+2.*SQM4*TH)/(-SH*UH) FZQ=FZQ*WIDS(23,2) DO 560 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54)) GOTO 560 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FACZQ=FZQ*(VI**2+AI**2) 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)=FACZQ 550 CONTINUE 560 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 580 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54)) GOTO 580 IA=IABS(I) KCHW=ISIGN(1,KCHG(IA,1)*ISIGN(1,I)) 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)=FACWQ*VINT(180+I)*WIDS(24,(5-KCHW)/2) 570 CONTINUE 580 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 600 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54)) GOTO 600 EI=KCHG(IABS(I),1)/3. FACGQ=FGQ*EI**2 DO 590 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 590 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 590 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGQ 590 CONTINUE 600 CONTINUE ELSEIF(ISUB.EQ.34) THEN C...f + gamma -> f + gamma. FGQ=COMFAC*AEM**2*2.*(SH2+UH2)/(-SH*UH) DO 620 I=MINA,MAXA IF(I.EQ.0) GOTO 620 EI=KCHG(IABS(I),1)/3. FACGQ=FGQ*EI**4 DO 610 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 610 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 610 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGQ 610 CONTINUE 620 CONTINUE ELSEIF(ISUB.EQ.35) THEN C...f + gamma -> f + Z0. FZQN=COMFAC*AEM**2*XWC*2.*(SH2+UH2+2.*SQM4*TH)*WIDS(23,2) FZQD=SQPTH*SQM4-SH*UH DO 640 I=MINA,MAXA IF(I.EQ.0) GOTO 640 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW FACZQ=EI**2*(VI**2+AI**2) DO 630 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 630 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 630 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) 630 CONTINUE 640 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 660 I=MINA,MAXA IF(I.EQ.0) GOTO 660 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 650 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,22).EQ.0) GOTO 650 IF(ISDE.EQ.2.AND.KFAC(1,22)*KFAC(2,I).EQ.0) GOTO 650 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) 650 CONTINUE 660 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 670 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 670 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 680 I=1,MIN(8,MDCY(21,3)) EF=KCHG(I,1)/3. 680 WDTESU=WDTESU+EF**2*(WDTE(I,1)+WDTE(I,2)+WDTE(I,3)+WDTE(I,4)) 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 690 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. 690 WDTESU=WDTESU+EF**2*(WDTE(I,1)+WDTE(I,2)+WDTE(I,3)+WDTE(I,4)) 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 700 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 700 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 710 NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=FACWW 710 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 730 KCHW=1,-1,-2 DO 720 ISDE=1,2 IF(KFAC(ISDE,22)*KFAC(3-ISDE,24*KCHW).EQ.0) GOTO 720 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) 720 CONTINUE 730 CONTINUE ENDIF ELSEIF(ISUB.LE.80) THEN IF(ISUB.EQ.71) THEN C...Z0 + Z0 -> Z0 + Z0. IF(SH.LE.4.01*SQMZ) GOTO 760 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 760 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 750 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 750 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW AVI=AI**2+VI**2 DO 740 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 740 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 740 CONTINUE 750 CONTINUE 760 CONTINUE ELSEIF(ISUB.EQ.72) THEN C...Z0 + Z0 -> W+ + W-. IF(SH.LE.4.01*SQMZ) GOTO 790 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 790 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 780 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 780 EI=KCHG(IABS(I),1)/3. AI=SIGN(1.,EI) VI=AI-4.*EI*XW AVI=AI**2+VI**2 DO 770 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 770 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 770 CONTINUE 780 CONTINUE 790 CONTINUE ELSEIF(ISUB.EQ.73) THEN C...Z0 + W+/- -> Z0 + W+/-. IF(SH.LE.2.*SQMZ+2.*SQMW) GOTO 820 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 820 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 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 KCHWI=ISIGN(1,KCHG(IABS(I),1)*ISIGN(1,I)) 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=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)+ & VINT(180+I)*WIDS(24,(5-KCHWI)/2)*AVJ) 800 CONTINUE 810 CONTINUE 820 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 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. 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 840 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 840 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 830 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 830 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.GT.0.) GOTO 830 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) 830 CONTINUE 840 CONTINUE 850 CONTINUE ELSEIF(ISUB.EQ.77) THEN C...W+/- + W+/- -> W+/- + W+/-. IF(SH.LE.4.01*SQMW) GOTO 880 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 880 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. A4RE=1./SQMW*(1.+2.*BE2-6.*BE2*CTH-CTH2) A4IM=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+A4RE AWWAIM=ASHIM+ATHIM+ASGIM+ASZIM+ATGIM+ATZIM+A4IM AWWSRE=ATHRE+AUHRE+ATGRE+ATZRE+AUGRE+AUZRE AWWSIM=ATHIM+AUHIM+ATGIM+ATZIM+AUGIM+AUZIM ELSE AWWARE=ASGRE+ASZRE+ATGRE+ATZRE+A4RE AWWAIM=ASGIM+ASZIM+ATGIM+ATZIM+A4IM AWWSRE=ATGRE+ATZRE+AUGRE+AUZRE AWWSIM=ATGIM+ATZIM+AUGIM+AUZIM 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 870 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 870 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 860 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 860 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.LT.0.) THEN C...W+W- IF(MSTP(45).EQ.1) GOTO 860 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 860 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) 860 CONTINUE 870 CONTINUE 880 CONTINUE ELSEIF(ISUB.EQ.78) THEN C...W+/- + H0 -> W+/- + H0. ELSEIF(ISUB.EQ.79) THEN C...H0 + H0 -> H0 + H0. 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.) DO 890 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 890 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQB 890 CONTINUE ELSEIF(ISUB.EQ.82) THEN C...g + g -> Q + Q~. 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) IF(MSTP(35).GE.1) THEN FATRE=PYHFTH(SH,SQM3,2./7.) FACQQ1=FACQQ1*FATRE FACQQ2=FACQQ2*FATRE ENDIF IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 900 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 900 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 920 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 920 DO 910 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 910 IF(I*J.GT.0.AND.MOD(IABS(I+J),2).EQ.0) GOTO 910 IF(I*J.LT.0.AND.MOD(IABS(I+J),2).EQ.1) GOTO 910 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) IF(I*J.GT.0) SIGH(NCHN)=FACQQS*FACCKM IF(I*J.LT.0) SIGH(NCHN)=FACQQU*FACCKM 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(I*J.GT.0) SIGH(NCHN)=FACQQS*FACCKM IF(I*J.LT.0) SIGH(NCHN)=FACQQU*FACCKM ENDIF 910 CONTINUE 920 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.) 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.) 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 ENDIF C...D: Mimimum bias processes. ELSEIF(ISUB.LE.100) THEN IF(ISUB.EQ.91) THEN C...Elastic scattering. SIGS=XSEC(ISUB,1) ELSEIF(ISUB.EQ.92) THEN C...Single diffractive scattering. SIGS=XSEC(ISUB,1) ELSEIF(ISUB.EQ.93) THEN C...Double diffractive scattering. SIGS=XSEC(ISUB,1) ELSEIF(ISUB.EQ.94) THEN C...Central diffractive scattering. SIGS=XSEC(ISUB,1) ELSEIF(ISUB.EQ.95) THEN C...Low-pT scattering. SIGS=XSEC(ISUB,1) 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 940 I=-3,3 IF(I.EQ.0) GOTO 940 DO 930 J=-3,3 IF(J.EQ.0) GOTO 930 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 930 CONTINUE 940 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 950 I=-3,3 IF(I.EQ.0) GOTO 950 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 950 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 970 I=-3,3 IF(I.EQ.0) GOTO 970 DO 960 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 960 CONTINUE 970 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 980 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 980 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 990 NCHN=NCHN+1 ISIG(NCHN,1)=22 ISIG(NCHN,2)=22 ISIG(NCHN,3)=1 SIGH(NCHN)=HI*FACBW*HF 990 CONTINUE ENDIF C...F: 2 -> 2, box diagrams. 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 1000 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)) 1000 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 1010 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1010 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACGH 1010 CONTINUE ELSEIF(ISUB.EQ.112) THEN C...f + g -> f + H0 (q + g -> q + H0 only). A5TSUR=0. A5TSUI=0. DO 1020 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)) 1020 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 1040 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54)) GOTO 1040 DO 1030 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1030 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1030 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACQH 1030 CONTINUE 1040 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 1050 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 1050 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 1050 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 1060 NCHN=NCHN+1 ISIG(NCHN,1)=21 ISIG(NCHN,2)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACGH 1060 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 1070 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 1070 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 1080 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 1080 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 1090 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))) 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 1090 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))) 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 1100 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1100 NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=-I ISIG(NCHN,3)=1 SIGH(NCHN)=FACQQH*WTQQBH*FACBW 1100 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 1120 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1120 IA=IABS(I) DO 1110 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1110 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 1110 CONTINUE 1120 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 1140 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1140 EI=SIGN(1.,FLOAT(I))*KCHG(IABS(I),1) DO 1130 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1130 EJ=SIGN(1.,FLOAT(J))*KCHG(IABS(J),1) IF(EI*EJ.GT.0.) GOTO 1130 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 1130 CONTINUE 1140 CONTINUE ELSEIF(ISUB.EQ.131) THEN C...g + g -> Z0 + q + qbar. IF(KFAC(1,21)*KFAC(2,21).EQ.0) GOTO 1170 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 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 1150 I=MINT(84)+1,MINT(84)+7 K(I,1)=1 DO 1150 J=1,5 1150 P(I,J)=0. 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 1160 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) 1160 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 1170 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 1180 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1180 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)) 1180 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 1200 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1200 IA=IABS(I) DO 1190 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1190 JA=IABS(J) IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 1190 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 1190 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 1190 CONTINUE 1200 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 1220 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1220 IA=IABS(I) IM=(MOD(IA,10)+1)/2 DO 1210 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1210 JA=IABS(J) JM=(MOD(JA,10)+1)/2 IF(I*J.GT.0.OR.IA.EQ.JA.OR.IM.NE.JM) GOTO 1210 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 1210 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 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 1210 CONTINUE 1220 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 1240 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1240 IA=IABS(I) DO 1230 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1230 JA=IABS(J) IF(I*J.GT.0.OR.IABS(IA-JA).NE.2) GOTO 1230 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 1230 CONTINUE 1240 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 1260 I=MIN1,MAX1 IF(KFAC(1,I).EQ.0) GOTO 1260 IA=IABS(I) IF(IA.NE.KFLQQ.AND.IA.NE.KFLQL) GOTO 1260 DO 1250 J=MIN2,MAX2 IF(KFAC(2,J).EQ.0) GOTO 1250 JA=IABS(J) IF(JA.NE.KFLQQ.AND.JA.NE.KFLQL) GOTO 1250 IF(I*J.NE.KFLQQ*KFLQL) GOTO 1250 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 1250 CONTINUE 1260 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 1280 I=-1,1,2 DO 1270 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1270 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1270 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 1270 CONTINUE 1280 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 1300 I=-2,2,4 DO 1290 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1290 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1290 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 1290 CONTINUE 1300 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 1320 I=MINA,MAXA IA=IABS(I) IF(IA.NE.5) GOTO 1320 IUA=IA+MOD(IA,2) SQMQ=PMAS(IUA,1)**2 FACHCQ=FHCQ/PARU(141)**2*SQMQ/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 1310 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1310 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,1).EQ.0) GOTO 1310 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACHCQ*WIDS(37,(5-KCHHC)/2) 1310 CONTINUE 1320 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 1340 I=MINA,MAXA IF(IABS(I).NE.KFLQQ) GOTO 1340 KCHLQ=ISIGN(1,I) DO 1330 ISDE=1,2 IF(ISDE.EQ.1.AND.KFAC(1,I)*KFAC(2,21).EQ.0) GOTO 1330 IF(ISDE.EQ.2.AND.KFAC(1,21)*KFAC(2,I).EQ.0) GOTO 1330 NCHN=NCHN+1 ISIG(NCHN,ISDE)=I ISIG(NCHN,3-ISDE)=21 ISIG(NCHN,3)=1 SIGH(NCHN)=FACLQ*WIDS(39,(5-KCHLQ)/2) 1330 CONTINUE 1340 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 1350 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 1350 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 1360 I=MINA,MAXA IF(I.EQ.0.OR.IABS(I).GT.MSTP(54).OR. & KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1360 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 1360 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) EF=KCHG(IABS(KFPR(ISUB,1)),1)/3. AF=SIGN(1.,EF+0.1) VF=AF-4.*EF*XW VALF=VF+AF VARF=VF-AF FCOF=1. IF(IABS(KFPR(ISUB,1)).LE.10) FCOF=3. DO 1370 I=MINA,MAXA IF(I.EQ.0.OR.KFAC(1,I)*KFAC(2,-I).EQ.0) GOTO 1370 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).LE.2).OR.MSTP(5).EQ.4) & 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 1370 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) FCOF=1. IF(IABS(KFPR(ISUB,1)).LE.10) FCOF=3. DO 1390 I=MIN1,MAX1 IF(I.EQ.0.OR.KFAC(1,I).EQ.0) GOTO 1390 IA=IABS(I) DO 1380 J=MIN2,MAX2 IF(J.EQ.0.OR.KFAC(2,J).EQ.0) GOTO 1380 JA=IABS(J) IF(I*J.GT.0.OR.MOD(IA+JA,2).EQ.0) GOTO 1380 IF((IA.LE.10.AND.JA.GT.10).OR.(IA.GT.10.AND.JA.LE.10)) GOTO 1380 FCOI=1. IF(IA.LE.10) FCOI=VCKM((IA+1)/2,(JA+1)/2)*FACA/3. NCHN=NCHN+1 ISIG(NCHN,1)=I ISIG(NCHN,2)=J ISIG(NCHN,3)=1 SIGH(NCHN)=COMFAC*FCOI*FCOF*WFAC IF((MSTP(5).EQ.3.AND.IA.LE.2.AND.JA.LE.2).OR.MSTP(5).EQ.4) & SIGH(NCHN)=COMFAC*FCOI*FCOF*WCIFAC 1380 CONTINUE 1390 CONTINUE ENDIF ENDIF C...Multiply with structure functions. IF(ISUB.LE.90.OR.ISUB.GE.96) THEN DO 1400 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 1400 SIGS=SIGS+SIGH(ICHN) ENDIF RETURN END C********************************************************************* SUBROUTINE PYSTFU(KF,X,Q2,XPQ) C...Gives electron, photon, pi+, neutron and proton parton structure C...functions according to a few different parametrizations. Note C...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),XQ(9),TX(6),TT(6),TS(6),NEHLQ(8,2), &CEHLQ(6,6,2,8,2),CDO(3,6,5,2),COW(3,5,4,2),CMT(0:3,0:2,9,4), &EXMT(0:3) 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...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...The following data lines are coefficients needed in the C...Morfin and Tung structure function parametrizations. C...12 coefficients each for d(valence), u(valence), g, u(sea), C...d(sea), s, c, b and t, in that order. C...Expansion coefficients for set 1 (fit S1). DATA (((CMT(IEX,IPN,IFL,1),IFL=1,9),IPN=0,2),IEX=0,3)/ & 1.30, 1.64, 1.86, -0.60, -0.45, -1.10, -3.87, -6.14,-12.53, & -0.57, -0.33, -2.76, -1.68, -1.64, -1.66, 0.79, 2.65, 8.13, & -0.08, -0.10, 0.10, 0.08, 0.05, 0.13, -0.70, -1.24, -2.64, & 0.18, 0.08, -0.17, -0.19, -0.18, -0.19, -0.03, -0.10, -0.38, & 0.16, 0.14, -0.07, -0.16, -0.19, -0.09, -0.17, -0.03, 0.34, & -0.02, -0.01, 0.02, 0.04, 0.06, 0.01, 0.03, -0.02, -0.14, & 5.27, 3.74, 7.33, 9.31, 9.36, 9.07, 7.96, 6.90, 16.30, & 0.43, 0.54, -0.88, -1.17, -1.01, -1.39, 0.95, 1.52,-13.23, & 0.06, 0.03, -0.08, 0.29, 0.20, 0.47, -0.38, -0.50, 4.77, & -1.85, -2.04, -0.88, -1.45, -1.48, -1.26, 0.60, 0.80, -0.57, & 1.08, 0.88, 2.47, 1.65, 1.49, 1.96, 0.60, 1.05, 3.58, & -0.03, 0.02, -0.32, -0.20, -0.12, -0.36, 0.08, -0.14, -0.99/ C...Expansion coefficients for set 2 (fit B1). DATA (((CMT(IEX,IPN,IFL,2),IFL=1,9),IPN=0,2),IEX=0,3)/ & 1.34, 1.62, 1.88, -0.99, -0.99, -0.99, -3.98, -6.28,-13.08, & -0.57, -0.33, -2.78, -1.54, -1.54, -1.54, 0.72, 2.62, 8.54, & -0.08, -0.10, 0.13, 0.10, 0.10, 0.10, -0.63, -1.18, -2.70, & 0.15, 0.11, -0.33, -0.33, -0.33, -0.33, -0.15, -0.18, -0.40, & 0.16, 0.14, 0.10, 0.03, 0.03, 0.03, -0.06, 0.02, 0.31, & -0.02, -0.01, -0.04, -0.03, -0.03, -0.03, 0.00, -0.03, -0.12, & 5.30, 3.68, 7.52, 8.53, 8.53, 8.53, 7.46, 6.56, 15.35, & 0.43, 0.53, -1.13, -1.08, -1.08, -1.08, 0.96, 1.40,-11.83, & 0.06, 0.03, 0.04, 0.39, 0.39, 0.39, -0.30, -0.38, 4.16, & -1.96, -1.94, -1.34, -1.55, -1.55, -1.55, 0.35, 0.65, -0.43, & 1.08, 0.87, 2.92, 2.02, 2.02, 2.02, 0.89, 1.13, 3.18, & -0.03, 0.02, -0.49, -0.39, -0.39, -0.39, -0.04, -0.16, -0.82/ C...Expansion coefficients for set 3 (fit B2). DATA (((CMT(IEX,IPN,IFL,3),IFL=1,9),IPN=0,2),IEX=0,3)/ & 1.38, 1.64, 1.52, -0.85, -0.85, -0.85, -3.74, -6.07,-12.08, & -0.59, -0.33, -2.71, -1.43, -1.43, -1.43, 0.21, 2.33, 7.31, & -0.08, -0.10, 0.15, -0.03, -0.03, -0.03, -0.50, -1.15, -2.35, & 0.18, 0.09, -0.72, -0.82, -0.82, -0.82, -0.58, -0.52, -0.73, & 0.16, 0.14, 0.45, 0.35, 0.35, 0.35, 0.24, 0.22, 0.54, & -0.02, -0.01, -0.15, -0.09, -0.10, -0.10, -0.07, -0.07, -0.18, & 5.40, 3.74, 7.75, 9.19, 9.19, 9.19, 9.63, 8.33, 21.14, & 0.42, 0.54, -1.56, -0.92, -0.92, -0.92, -1.13, 0.28,-19.17, & 0.06, 0.03, 0.16, 0.12, 0.12, 0.12, 0.25, -0.28, 6.64, & -1.91, -2.02, -2.18, -2.76, -2.76, -2.76, -1.09, -0.52, -1.92, & 1.11, 0.88, 3.75, 2.56, 2.56, 2.56, 2.10, 1.91, 4.59, & -0.03, 0.02, -0.76, -0.40, -0.40, -0.40, -0.33, -0.31, -1.25/ C...Expansion coefficients for set 4 (fit E1). DATA (((CMT(IEX,IPN,IFL,4),IFL=1,9),IPN=0,2),IEX=0,3)/ & 1.43, 1.69, 2.11, -0.84, -0.84, -0.84, -3.87, -6.09,-12.56, & -0.65, -0.33, -3.01, -1.65, -1.65, -1.65, 0.85, 2.81, 8.69, & -0.08, -0.11, 0.18, 0.12, 0.12, 0.12, -0.73, -1.34, -2.93, & 0.16, 0.11, -0.33, -0.32, -0.32, -0.32, -0.15, -0.17, -0.38, & 0.16, 0.14, 0.10, 0.02, 0.02, 0.02, -0.07, 0.01, 0.30, & -0.02, -0.01, -0.04, -0.03, -0.03, -0.03, 0.00, -0.03, -0.12, & 6.17, 3.69, 7.93, 8.96, 8.96, 8.96, 7.83, 6.75, 14.62, & 0.43, 0.54, -1.40, -1.24, -1.24, -1.24, 1.00, 1.74,-11.27, & 0.06, 0.03, 0.09, 0.45, 0.45, 0.45, -0.36, -0.56, 4.29, & -1.94, -1.99, -1.51, -1.70, -1.70, -1.70, 0.21, 0.54, -0.41, & 1.12, 0.90, 3.14, 2.15, 2.15, 2.15, 0.93, 1.15, 3.19, & -0.02, 0.02, -0.55, -0.43, -0.43, -0.43, -0.03, -0.16, -0.87/ C...Euler's beta function, requires ordinary Gamma function EULBET(X,Y)=PYGAMM(X)*PYGAMM(Y)/PYGAMM(X+Y) C...Reset structure functions, check x and hadron flavour. ALAM=0. DO 100 KFL=-25,25 100 XPQ(KFL)=0. 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) THEN WRITE(MSTU(11),5100) KF RETURN ENDIF C...Call user-supplied structure function. IF(MSTP(51).EQ.0.OR.MSTP(52).GE.2) THEN KFE=KFA IF(KFA.EQ.2112) KFE=2212 CALL PYSTFE(KFE,X,Q2,XPQ) ELSEIF(KFA.EQ.11) THEN C...Electron structure function. 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 IF(MSTP(11).LE.1) THEN 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) HCB=0.5*HBE ELSE HCA=PARP(11) HCB=PARP(12) IF(MSTP(11).EQ.3) HCB=HCB+0.5*HBE HEE=X**HCA*(1.-X)**HCB/EULBET(1.+HCA,1.+HCB) ENDIF IF(X.GT.0.9999.AND.X.LE.0.999999) THEN HEE=HEE*100.**HCB/(100.**HCB-1.) ELSEIF(X.GT.0.999999) THEN HEE=0. ENDIF XPQ(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((PARP(13)/PME**2)*(1.-X)/X**2) ENDIF XPQ(22)=AEMP*HLG*(1.+(1.-X)**2) HLW=LOG(1.+Q2/PMAS(24,1)**2)/(4.*PARU(102)) XPQ(-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) XPQ(11)=XPQ(11)+XFSEA XPQ(-11)=XFSEA C...Quarks and gluons inside photon inside electron. T=ALOG(MIN(1E4,MAX(1.,Q2))/0.16) NF=3 IF(Q2.GT.25.) NF=4 IF(Q2.GT.300.) NF=5 NFE=NF-2 XL=LOG(MAX(1E-10,X)) C...Numerical integration of struncture function convolution. SXPGL=0. SXPQU=0. SXPQD=0. SUMXPP=0. ITER=-1 110 ITER=ITER+1 SUMXP=SUMXPP NSTP=2**(ITER-1) IF(ITER.EQ.0) NSTP=2 SXPGL=0.5*SXPGL SXPQU=0.5*SXPQU SXPQD=0.5*SXPQD WTSTP=0.5/NSTP IF(ITER.EQ.0) WTSTP=0.5 DO 120 ISTP=1,NSTP IF(ITER.EQ.0) THEN XLE=XL*(ISTP-1) ELSE XLE=XL*(ISTP-0.5)/NSTP ENDIF XE=EXP(XLE) XG=MIN(0.999999,X/XE) XPGA=1.+(1.-XE)**2 CALL PYSTGA(NFE,XG,T,XPGL,XPQU,XPQD) SXPGL=SXPGL+WTSTP*XPGA*XPGL SXPQU=SXPQU+WTSTP*XPGA*XPQU 120 SXPQD=SXPQD+WTSTP*XPGA*XPQD SUMXPP=SXPGL+SXPQU+SXPQD IF(ITER.LE.2.OR.(ITER.LE.7.AND.ABS(SUMXPP-SUMXP).GT. & PARP(14)*(SUMXPP+SUMXP))) GOTO 110 FCONV=AEMP*HLE*AEM*(-XL) C...Put into output arrays. XPQ(0)=FCONV*SXPGL XPQ(1)=FCONV*SXPQD XPQ(-1)=XPQ(1) XPQ(2)=FCONV*SXPQU XPQ(-2)=XPQ(2) XPQ(3)=FCONV*SXPQD XPQ(-3)=XPQ(3) IF(NFE.GE.2) THEN XPQ(4)=FCONV*SXPQU XPQ(-4)=XPQ(4) ENDIF IF(NFE.EQ.3) THEN XPQ(5)=FCONV*SXPQD XPQ(-5)=XPQ(5) ENDIF ENDIF ELSEIF(KFA.EQ.22) THEN C...Photon structure function from Drees and Grassie. C...Allowed variable range: 1 GeV^2 < Q^2 < 10000 GeV^2. T=ALOG(MIN(1E4,MAX(1.,Q2))/0.16) NF=3 IF(Q2.GT.25.) NF=4 IF(Q2.GT.300.) NF=5 NFE=NF-2 CALL PYSTGA(NFE,X,T,XPGL,XPQU,XPQD) AEM=PARU(101) C...Put into output arrays. XPQ(0)=AEM*XPGL XPQ(1)=AEM*XPQD XPQ(-1)=XPQ(1) XPQ(2)=AEM*XPQU XPQ(-2)=XPQ(2) XPQ(3)=AEM*XPQD XPQ(-3)=XPQ(3) IF(NFE.GE.2) THEN XPQ(4)=AEM*XPQU XPQ(-4)=XPQ(4) ENDIF IF(NFE.EQ.3) THEN XPQ(5)=AEM*XPQD XPQ(-5)=XPQ(5) ENDIF ELSEIF(KFA.EQ.211) THEN C...Pion structure functions from Owens. C...Allowed variable range: 4 GeV^2 < Q^2 < approx 2000 GeV^2. C...Determine set, Lambda and s expansion variable. NSET=1 IF(MSTP(51).EQ.2.OR.MSTP(51).EQ.4.OR.MSTP(51).EQ.13) NSET=2 IF(NSET.EQ.1) ALAM=0.2 IF(NSET.EQ.2) ALAM=0.4 IF(MSTP(52).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 140 KFL=1,4 DO 130 IS=1,5 130 TS(IS)=COW(1,IS,KFL,NSET)+COW(2,IS,KFL,NSET)*SD+ & COW(3,IS,KFL,NSET)*SD**2 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 140 CONTINUE C...Put into output arrays. XPQ(0)=XQ(2) XPQ(1)=XQ(3)/6. XPQ(2)=XQ(1)+XQ(3)/6. XPQ(3)=XQ(3)/6. XPQ(4)=XQ(4) XPQ(-1)=XQ(1)+XQ(3)/6. XPQ(-2)=XQ(3)/6. XPQ(-3)=XQ(3)/6. XPQ(-4)=XQ(4) ELSEIF(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, Lamdba and x and t expansion variables. NSET=MSTP(51) IF(NSET.EQ.1) ALAM=0.2 IF(NSET.EQ.2) ALAM=0.29 TMIN=LOG(5./ALAM**2) TMAX=LOG(1E8/ALAM**2) IF(MSTP(52).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 160 KFL=1,6 XQSUM=0. DO 150 IT=1,6 DO 150 IX=1,6 150 XQSUM=XQSUM+CEHLQ(IX,IT,NX,KFL,NSET)*TX(IX)*TT(IT) 160 XQ(KFL)=XQSUM*(1.-X)**NEHLQ(KFL,NSET)*CXS C...Put into output array. XPQ(0)=XQ(4) XPQ(1)=XQ(2)+XQ(3) XPQ(2)=XQ(1)+XQ(3) XPQ(3)=XQ(5) XPQ(4)=XQ(6) XPQ(-1)=XQ(3) XPQ(-2)=XQ(3) XPQ(-3)=XQ(5) XPQ(-4)=XQ(6) C...Special expansion for bottom (threshold effects). IF(MSTP(54).GE.5) THEN IF(NSET.EQ.1) TMIN=8.1905 IF(NSET.EQ.2) TMIN=7.4474 IF(T.LE.TMIN) GOTO 180 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 170 IX=1,6 170 XQSUM=XQSUM+CEHLQ(IX,IT,NX,7,NSET)*TX(IX)*TT(IT) XPQ(5)=XQSUM*(1.-X)**NEHLQ(7,NSET)*CXS XPQ(-5)=XPQ(5) 180 CONTINUE ENDIF C...Special expansion for top (threshold effects). IF(MSTP(54).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.LE.TMIN) GOTO 200 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 190 IT=1,6 DO 190 IX=1,6 190 XQSUM=XQSUM+CEHLQ(IX,IT,NX,8,NSET)*TX(IX)*TT(IT) XPQ(6)=XQSUM*(1.-X)**NEHLQ(8,NSET)*CXS XPQ(-6)=XPQ(6) 200 CONTINUE 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 IF(MSTP(52).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 220 KFL=1,5 DO 210 IS=1,6 210 TS(IS)=CDO(1,IS,KFL,NSET)+CDO(2,IS,KFL,NSET)*SD+ & CDO(3,IS,KFL,NSET)*SD**2 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 220 CONTINUE C...Put into output arrays. XPQ(0)=XQ(5) XPQ(1)=XQ(2)+XQ(3)/6. XPQ(2)=3.*XQ(1)-XQ(2)+XQ(3)/6. XPQ(3)=XQ(3)/6. XPQ(4)=XQ(4) XPQ(-1)=XQ(3)/6. XPQ(-2)=XQ(3)/6. XPQ(-3)=XQ(3)/6. XPQ(-4)=XQ(4) ELSEIF(MSTP(51).GE.5.AND.MSTP(51).LE.8) THEN C...Proton structure functions from Morfin and Tung. C...Allowed variable range: 4 GeV^2 < Q^2 < 1E8 GeV^2, 0 < x < 1. C...Calculate expansion parameters. NSET=MSTP(51)-4 IF(NSET.EQ.1) ALAM=0.187 IF(NSET.EQ.2) ALAM=0.212 IF(NSET.EQ.3) ALAM=0.191 IF(NSET.EQ.4) ALAM=0.155 IF(MSTP(52).EQ.0) THEN SD=0. ELSE SD=LOG(LOG(MAX(4.,Q2)/ALAM**2)/LOG(4./ALAM**2)) ENDIF XL=LOG(MAX(1E-10,X)) X1L=LOG(MAX(1E-10,1.-X)) XLL=LOG(MAX(1E-10,LOG(1.+1./MAX(1E-10,X)))) C...Calculate structure functions up to b. DO 240 IP=1,8 DO 230 IEX=0,3 230 EXMT(IEX)=CMT(IEX,0,IP,NSET)+CMT(IEX,1,IP,NSET)*SD+ & CMT(IEX,2,IP,NSET)*SD**2 EXMTS=EXMT(0)+EXMT(1)*XL+EXMT(2)*X1L+EXMT(3)*XLL IF(EXMTS.LT.-50.) THEN XQ(IP)=0. ELSE XQ(IP)=EXP(EXMTS) ENDIF 240 CONTINUE IF(Q2.LE.2.25) XQ(7)=0. IF(Q2.LE.25.0) XQ(8)=0. C...Calculate t structure function, shifting effective Q scale for C...nondefault t mass, Q_actual = Q_nominal * m_t_nominal/m_t_actual. IF(MSTP(52).EQ.0.OR.Q2.LE.PMAS(6,1)**2) THEN XQ(9)=0. ELSE SD=LOG(LOG(MAX(4.,Q2)/ALAM**2*(100./PMAS(6,1))**2)/ & LOG(4./ALAM**2)) DO 250 IEX=0,3 250 EXMT(IEX)=CMT(IEX,0,9,NSET)+CMT(IEX,1,9,NSET)*SD+ & CMT(IEX,2,9,NSET)*SD**2 EXMTS=EXMT(0)+EXMT(1)*XL+EXMT(2)*X1L+EXMT(3)*XLL IF(EXMTS.LT.-50.) THEN XQ(9)=0. ELSE XQ(9)=EXP(EXMTS) ENDIF ENDIF C...Put into output array. XPQ(0)=XQ(3) XPQ(1)=XQ(1)+XQ(5) XPQ(-1)=XQ(5) XPQ(2)=XQ(2)+XQ(4) XPQ(-2)=XQ(4) XPQ(3)=XQ(6) XPQ(-3)=XQ(6) XPQ(4)=XQ(7) XPQ(-4)=XQ(7) XPQ(5)=XQ(8) XPQ(-5)=XQ(8) XPQ(6)=XQ(9) XPQ(-6)=XQ(9) ELSEIF(MSTP(51).EQ.9) THEN C...Lowest order parametrization of Gluck, Reya, Vogt. C...Allowed variable range: 0.2 GeV^2 < Q2 < 1E6 GeV^2; 1E-4 < x < 1; C...extended to 0.2 GeV^2 < Q2 < 1E8 GeV^2; 1E-6 < x < 1 C...after consultation with the authors. C...Determine s and x. ALAM=0.25 IF(MSTP(52).EQ.0) THEN SD=0. ELSE Q2IN=MIN(1E8,MAX(0.2,Q2)) SD=LOG(LOG(Q2IN/ALAM**2)/LOG(0.2/ALAM**2)) ENDIF XC=MAX(1E-6,X) XL=-LOG(XC) C...Calculate structure functions. XQ(1)=(0.794+0.312*SD)*XC**(0.427-0.011*SD)* & (1.+(6.887-2.227*SD)*XC+(-11.083+2.136*SD)*XC**2+ & (3.900+1.079*SD)*XC**3)*(1.-XC)**(1.037+1.077*SD) XQ(2)=(0.486+0.139*SD)*XC**(0.434-0.018*SD)* & (1.+(7.716-2.684*SD)*XC+(-12.768+3.122*SD)*XC**2+ & (4.564+0.470*SD)*XC**3)*(1.-XC)**(1.889+1.129*SD) XQ(3)=(XC**(0.415+0.186*SD)*((0.786+0.942*SD)+ & (5.256-5.810*SD)*XC+(-4.599+5.842*SD)*XC**2)+SD**0.592* & EXP(-(0.398+2.135*SD)+SQRT(3.779*SD**1.250*XL)))* & (1.-XC)**(1.622+1.980*SD) XQ(4)=SD**0.448*(1.-XC)**(5.540-0.445*SD)* & EXP(-(4.668+1.230*SD)+SQRT((13.173-1.361*SD)*SD**0.442*XL))/ & XL**(3.181-0.862*SD) XQ(5)=0. IF(SD.GT.1.125) XQ(5)=(SD-1.125)*(1.-XC)**(2.038+1.022*SD)* & EXP(-(4.290+1.569*SD)+SQRT((2.982+1.452*SD)*SD**0.5*XL)) XQ(6)=0. IF(SD.GT.1.603) XQ(6)=(SD-1.603)*(1.-XC)**(2.230+1.052*SD)* & EXP(-(4.566+1.559*SD)+SQRT((4.147+1.268*SD)*SD**0.5*XL)) C...Put into output array - special factor for small x. CXS=1. IF(X.LT.1E-6.AND.ABS(PARP(51)-1.).GT.0.01) & CXS=(1E-6/X)**(PARP(51)-1.) XPQ(0)=CXS*XQ(3) XPQ(1)=CXS*(XQ(2)+XQ(4)) XPQ(-1)=CXS*XQ(4) XPQ(2)=CXS*(XQ(1)+XQ(4)) XPQ(-2)=CXS*XQ(4) XPQ(3)=CXS*XQ(4) XPQ(-3)=CXS*XQ(4) XPQ(4)=CXS*XQ(5) XPQ(-4)=CXS*XQ(5) XPQ(5)=CXS*XQ(6) XPQ(-5)=CXS*XQ(6) ELSEIF(MSTP(51).EQ.10) THEN C...Higher order parametrization of Gluck, Reya, Vogt. C...Allowed variable range: 0.2 GeV^2 < Q2 < 1E6 GeV^2; 1E-4 < x < 1; C...extended to 0.2 GeV^2 < Q2 < 1E8 GeV^2; 1E-6 < x < 1 C...after consultation with the authors. C...Determine s and x. ALAM=0.20 IF(MSTP(52).EQ.0) THEN SD=0. ELSE Q2IN=MIN(1E8,MAX(0.2,Q2)) SD=LOG(LOG(Q2IN/ALAM**2)/LOG(0.2/ALAM**2)) ENDIF SD2=SD**2 XC=MAX(1E-6,X) XL=-LOG(XC) C...Calculate structure functions. XQ(1)=(1.364+0.989*SD-0.236*SD2)*XC**(0.593-0.048*SD)* & (1.+(8.912-6.092*SD+0.852*SD2)*XC+(-16.737+7.039*SD)*XC**2+ & (10.275+0.806*SD-2.000*SD2)*XC**3)* & (1.-XC)**(2.043+1.408*SD-0.283*SD2) XQ(2)=(0.835+0.527*SD-0.144*SD2)*XC**(0.600-0.054*SD)* & (1.+(10.245-7.821*SD+1.325*SD2)*XC+(-19.511+10.940*SD- & 1.133*SD2)*XC**2+(12.836-2.570*SD-1.041*SD2)*XC**3)* & (1.-XC)**(3.083+1.382*SD-0.276*SD2) XQ(3)=(XC**(0.321-0.135*SD)*((10.51-2.299*SD)+ & (-17.28+0.755*SD)*XC+(8.242+2.543*SD)*XC**2)* & XL**(-2.023-0.103*SD)+SD**1.044* & EXP(-(-1.178+2.792*SD)+SQRT(2.318*SD**1.673*XL)))* & (1.-XC)**(3.720+2.337*SD-0.199*SD2) XQ(4)=SD**0.761*(1.+(6.078-2.065*SD)*XC)*(1.-XC)**(4.654+ & 0.603*SD-0.326*SD2)*EXP(-(4.231+1.036*SD)+SQRT(3.419*SD**0.316* & XL))/XL**(0.897-0.618*SD) XQ(5)=0. IF(SD.GT.0.918) XQ(5)=(SD-0.918)*(1.-XC)**(3.328+0.859*SD)* & EXP(-(3.837+1.504*SD)+SQRT((2.150+1.291*SD)*SD**0.5*XL)) XQ(6)=0. IF(SD.GT.1.353) XQ(6)=(SD-1.353)*(1.-XC)**(3.382+0.909*SD)* & EXP(-(4.130+1.486*SD)+SQRT((2.895+1.240*SD)*SD**0.5*XL)) C...Put into output array - special factor for small x. CXS=1. IF(X.LT.1E-6.AND.ABS(PARP(51)-1.).GT.0.01) & CXS=(1E-6/X)**(PARP(51)-1.) XPQ(0)=CXS*XQ(3) XPQ(1)=CXS*(XQ(2)+XQ(4)) XPQ(-1)=CXS*XQ(4) XPQ(2)=CXS*(XQ(1)+XQ(4)) XPQ(-2)=CXS*XQ(4) XPQ(3)=CXS*XQ(4) XPQ(-3)=CXS*XQ(4) XPQ(4)=CXS*XQ(5) XPQ(-4)=CXS*XQ(5) XPQ(5)=CXS*XQ(6) XPQ(-5)=CXS*XQ(6) C...Proton structure functions from Diemoz, Ferroni, Longo, Martinelli. C...These are accessed via PYSTFE since the files needed may not always C...available. ELSEIF(MSTP(51).GE.11.AND.MSTP(51).LE.13) THEN CALL PYSTFE(2212,X,Q2,XPQ) C...Unknown proton parametrization. ELSE WRITE(MSTU(11),5200) MSTP(51) ENDIF C...Isospin conjugation for neutron. IF(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 260 KFL=1,25 IF(KFL.EQ.21.OR.KFL.EQ.22.OR.KFL.EQ.23.OR.KFL.EQ.25) GOTO 260 XPS=XPQ(KFL) XPQ(KFL)=XPQ(-KFL) XPQ(-KFL)=XPS 260 CONTINUE ENDIF C...Allow gluon also in position 21. XPQ(21)=XPQ(0) C...Check positivity and reset above maximum allowed flavour. DO 270 KFL=-25,25 XPQ(KFL)=MAX(0.,XPQ(KFL)) 270 IF(IABS(KFL).LE.8.AND.IABS(KFL).GT.MSTP(54)) XPQ(KFL)=0. 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: bad value of parameter MSTP(51) in PYSTFU,', &' MSTP(51) =',I5) RETURN END C********************************************************************* SUBROUTINE PYSTGA(NFE,X,T,XPGL,XPQU,XPQD) C...Gives photon structure function; external to PYSTFU since it C...may be called several times for convolution of photon structure C...functions with photons in electron structure function. DIMENSION 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 parametrizations. 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. X1=1.-X 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(NFE.EQ.2) DGF=10. IF(NFE.EQ.3) DGF=55./6. XPQS=DGF*X*(X**2+X1**2)/(DGA-DGB*LOG(X1))+DGC*X**DGD*X1**DGE IF(NFE.LE.1) THEN XPQU=(XPQS+9.*XPQN)/6. XPQD=(XPQS-4.5*XPQN)/6. ELSEIF(NFE.EQ.2) THEN XPQU=(XPQS+6.*XPQN)/8. XPQD=(XPQS-6.*XPQN)/8. ELSE XPQU=(XPQS+7.5*XPQN)/10. XPQD=(XPQS-5.*XPQN)/10. ENDIF 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(100.,XATTR))) XREPU=PARU(1)*ALSSG/(6.*SQRT(MAX(1E-20,1.-4.*SQM/SH))) FREPU=XREPU/(EXP(MIN(100.,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). 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(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) 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 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=1,3 100 IF(KFLR.EQ.KFL(J)) NAGR=NAGR+1 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. 110 IF(IAGR.EQ.0.AND.RAGR.LE.0.) IAGR=J 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 100 PYGAMM=PYGAMM+B(I)*DXP IF(X.LT.1.) THEN PYGAMM=PYGAMM/X ELSE DO 110 IX=1,NX-1 110 PYGAMM=(X-IX)*PYGAMM 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(RCTHE/R) PHI=ACOS(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 100 SPIM=SPIM+B(I)*TERMIM 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)) 100 PP(I,2)=PT*SIN(VINT(198+5*I)) 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 110 PP(I,4)=-0.5*SHPR 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) 120 PP(13,J)=-PP(4,J)-PP(5,J) 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 130 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. 130 CLR(I+3,J)=-2./3. DO 140 L=1,2 DO 140 I=1,3 CLR(I,6+L)=-6. CLR(I+3,6+L)=6. CLR(6+L,I)=-6. 140 CLR(6+L,I+3)=6. DO 150 K1=1,2 DO 150 K2=1,2 150 CLR(6+K1,6+K2)=12. 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 160 I=1,8 DO 160 J=1,8 160 RM(I,J)=FM(I,J) 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 170 I=1,8 DO 170 J=I,8 FAC=8. IF(I.EQ.J)FAC=4. 170 WTQQBH=WTQQBH+RM(I,J)*FAC*CLR(I,J)/(DX(I)*DX(J)) 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=1,200 100 MSUB(ISUB)=0 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=17000. 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 run: no errors detected.') 5600 FORMAT(//5X,'End result of run:',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 SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/, &/PYINT5/,/PYINT6/ 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)/40*1,0,80*1,0,40*1/ 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 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 1, 2, 0, 0, 0, 2, 1, 5, 0, 0, 4 1, 1, 3, 7, 2, 1, 1, 0, 0, 0, 5 1, 1, 20, 6, 0, 0, 0, 0, 0, 0, 6 1, 2, 2, 2, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0/ DATA (MSTP(I),I=101,200)/ & 1, 0, 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, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 5, 5, 1991, 06, 21, 0, 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,-0.67, 25.0, 0.01, 0., 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., 0., 0., 4 0.01, 2.0, 0.10, 1000., 2054., 0., 0., 0., 0., 0., 5 1.0, 2.26, 1E4, 1E-4, 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 1.45, 1.70, 0.5, 0.2, 0.33, 0.66, 0.7, 0.5, 0., 0., 9 0.44, 0.44, 2.0, 1.0, 0., 3.0, 1.0, 0.75, 0., 0./ DATA (PARP(I),I=101,200)/ & -0.02, 0., 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 0., 0., 0., 0., 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, -1, 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, -2, -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, 0, 8 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, 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, 0, 0, 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, 0, 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 ', ' '/ 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', ' ', 4' ', ' ', 5' ', ' ', 6'Elastic scattering ', 'Single diffractive ', 7'Double diffractive ', 'Central 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' ', ' ', 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' ', ' ', 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' ', ' ', &' ', ' '/ END C********************************************************************* 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. SUBROUTINE RKBBV(AK1,AK2,AP1,AP2,ALEP1,ALEP2,IMC,RESULT) * 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/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. RETURN END C********************************************************************* SUBROUTINE PYSTFE(KF,X,Q2,XPQ) C...This is a dummy routine, where the user can introduce an interface C...to his own external structure function parametrization. C...Arguments in: C...KF : 11 for e-, 22 for gamma, 211 for pi+, 2212 for p. C... Isospin conjugation for n and charge conjugation for C... e+, pi-, pbar and nbar is performed by PYSTFU. C...X : x value. C...Q2 : Q^2 value. C...Arguments out: C...XPQ(-25:25) : x * f(x,Q^2), with index according to KF code, C... except that gluon is placed in 0. Thus XPQ(0) = xg, C... XPQ(1) = xd, XPQ(-1) = xdbar, XPQ(2) = xu, XPQ(-2) = xubar, C... XPQ(3) = xs, XPQ(-3) = xsbar, XPQ(4) = xc, XPQ(-4) = xcbar, C... XPQ(5) = xb, XPQ(-5) = xbbar, XPQ(6) = xt, XPQ(-6) = xtbar, C... XPQ(11) = xe-, XPQ(-11) = xe+, XPQ(22) = xgamma. C... C...One such interface, to the Diemos, Ferroni, Longo, Martinelli C...proton structure functions, already comes with the package. What C...the user needs here is external files with the three routines C...FXG160, FXG260 and FXG360 of the authors above, plus the C...interpolation routine FINT, which is part of the CERN library C...KERNLIB package. To avoid problems with unresolved external C...references, the external calls are commented in the current C...version. To enable this option, remove the C* at the beginning C...of the relevant lines. C... C...Alternatively, the routine can be used as an interface to the C...structure function evolution program of Tung. This can be achieved C...by removing C* at the beginning of some of the lines below. 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) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/ DIMENSION XPQ(-25:25),XFDFLM(9) CHARACTER CHDFLM(9)*5,HEADER*40 DATA CHDFLM/'UPVAL','DOVAL','GLUON','QBAR ','UBAR ','SBAR ', &'CBAR ','BBAR ','TBAR '/ DATA HEADER/'Tung evolution package has been invoked'/ DATA INIT/0/ C...Proton structure functions from Diemoz, Ferroni, Longo, Martinelli. C...Allowed variable range 10 GeV2 < Q2 < 1E8 GeV2, 5E-5 < x < .95. IF(MSTP(51).GE.11.AND.MSTP(51).LE.13.AND.MSTP(52).LE.1) THEN XDFLM=MAX(0.51E-4,X) Q2DFLM=MAX(10.,MIN(1E8,Q2)) IF(MSTP(52).EQ.0) Q2DFLM=10. DO 100 J=1,9 IF(MSTP(52).EQ.1.AND.J.EQ.9) THEN Q2DFLM=Q2DFLM*(40./PMAS(6,1))**2 Q2DFLM=MAX(10.,MIN(1E8,Q2DFLM)) ENDIF XFDFLM(J)=0. C...Remove C* on following three lines to enable the DFLM options. C* IF(MSTP(51).EQ.11) CALL FXG160(XDFLM,Q2DFLM,CHDFLM(J),XFDFLM(J)) C* IF(MSTP(51).EQ.12) CALL FXG260(XDFLM,Q2DFLM,CHDFLM(J),XFDFLM(J)) C* IF(MSTP(51).EQ.13) CALL FXG360(XDFLM,Q2DFLM,CHDFLM(J),XFDFLM(J)) 100 CONTINUE IF(X.LT.0.51E-4.AND.ABS(PARP(51)-1.).GT.0.01) THEN CXS=(0.51E-4/X)**(PARP(51)-1.) DO 110 J=1,7 110 XFDFLM(J)=XFDFLM(J)*CXS ENDIF XPQ(0)=XFDFLM(3) XPQ(1)=XFDFLM(2)+XFDFLM(5) XPQ(2)=XFDFLM(1)+XFDFLM(5) XPQ(3)=XFDFLM(6) XPQ(4)=XFDFLM(7) XPQ(5)=XFDFLM(8) XPQ(6)=XFDFLM(9) XPQ(-1)=XFDFLM(5) XPQ(-2)=XFDFLM(5) XPQ(-3)=XFDFLM(6) XPQ(-4)=XFDFLM(7) XPQ(-5)=XFDFLM(8) XPQ(-6)=XFDFLM(9) C...Proton structure function evolution from Wu-Ki Tung: parton C...distribution functions incorporating heavy quark mass effects. C...Allowed variable range: PARP(52) < Q < PARP(53); PARP(54) < x < 1. ELSE IF(INIT.EQ.0) THEN I1=0 IF(MSTP(52).EQ.4) I1=1 IHDRN=1 NU=MSTP(53) I2=MSTP(51) IF(MSTP(51).GE.11) I2=MSTP(51)-3 I3=0 IF(MSTP(52).EQ.3) I3=1 C...Convert to Lambda in CWZ scheme (approximately linear relation). ALAM=0.75*PARP(1) TPMS=PMAS(6,1) QINI=PARP(52) QMAX=PARP(53) XMIN=PARP(54) C...Initialize evolution (perform calculation or read results from C...file). C...Remove C* on following two lines to enable Tung initialization. C* CALL PDFSET(I1,IHDRN,ALAM,TPMS,QINI,QMAX,XMIN,NU,HEADER, C* & I2,I3,IRET,IRR) INIT=1 ENDIF C...Put into output array. Q=SQRT(Q2) DO 120 I=-6,6 FIXQ=0. C...Remove C* on following line to enable structure function call. C* FIXQ=MAX(0.,PDF(10,1,I,X,Q,IR)) 120 XPQ(I)=X*FIXQ C...Change order of u and d quarks from Tung to PYTHIA convention. XPS=XPQ(1) XPQ(1)=XPQ(2) XPQ(2)=XPS XPS=XPQ(-1) XPQ(-1)=XPQ(-2) XPQ(-2)=XPS ENDIF RETURN END