* * $Id: pymaxi.F,v 1.1.1.1 1996/01/11 14:05:27 mclareni Exp $ * * $Log: pymaxi.F,v $ * Revision 1.1.1.1 1996/01/11 14:05:27 mclareni * Fritiof * * 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.171.OR.ISUB.EQ.176) &THEN KFR1=23 ELSEIF(ISUB.EQ.23.OR.ISUB.EQ.26.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. VINT(206)=0. VINT(204)=PMAS(23,1) IF(ISUB.EQ.124) VINT(204)=PMAS(24,1) 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=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