C********************************************************************* SUBROUTINE LUINDF(IP) C...Purpose: to handle the fragmentation of a jet system (or a single C...jet) according to independent fragmentation models. 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) SAVE /LUJETS/,/LUDAT1/,/LUDAT2/ DIMENSION DPS(5),PSI(4),NFI(3),NFL(3),IFET(3),KFLF(3), &KFLO(2),PXO(2),PYO(2),WO(2) C...Reset counters. Identify parton system and take copy. Check flavour. NSAV=N MSTU90=MSTU(90) NJET=0 KQSUM=0 DO 100 J=1,5 DPS(J)=0. 100 CONTINUE I=IP-1 110 I=I+1 IF(I.GT.MIN(N,MSTU(4)-MSTU(32))) THEN CALL LUERRM(12,'(LUINDF:) failed to reconstruct jet system') IF(MSTU(21).GE.1) RETURN ENDIF IF(K(I,1).NE.1.AND.K(I,1).NE.2) GOTO 110 KC=LUCOMP(K(I,2)) IF(KC.EQ.0) GOTO 110 KQ=KCHG(KC,2)*ISIGN(1,K(I,2)) IF(KQ.EQ.0) GOTO 110 NJET=NJET+1 IF(KQ.NE.2) KQSUM=KQSUM+KQ DO 120 J=1,5 K(NSAV+NJET,J)=K(I,J) P(NSAV+NJET,J)=P(I,J) DPS(J)=DPS(J)+P(I,J) 120 CONTINUE K(NSAV+NJET,3)=I IF(K(I,1).EQ.2.OR.(MSTJ(3).LE.5.AND.N.GT.I.AND. &K(I+1,1).EQ.2)) GOTO 110 IF(NJET.NE.1.AND.KQSUM.NE.0) THEN CALL LUERRM(12,'(LUINDF:) unphysical flavour combination') IF(MSTU(21).GE.1) RETURN ENDIF C...Boost copied system to CM frame. Find CM energy and sum flavours. IF(NJET.NE.1) THEN MSTU(33)=1 CALL LUDBRB(NSAV+1,NSAV+NJET,0.,0.,-DPS(1)/DPS(4), & -DPS(2)/DPS(4),-DPS(3)/DPS(4)) ENDIF PECM=0. DO 130 J=1,3 NFI(J)=0 130 CONTINUE DO 140 I=NSAV+1,NSAV+NJET PECM=PECM+P(I,4) KFA=IABS(K(I,2)) IF(KFA.LE.3) THEN NFI(KFA)=NFI(KFA)+ISIGN(1,K(I,2)) ELSEIF(KFA.GT.1000) THEN KFLA=MOD(KFA/1000,10) KFLB=MOD(KFA/100,10) IF(KFLA.LE.3) NFI(KFLA)=NFI(KFLA)+ISIGN(1,K(I,2)) IF(KFLB.LE.3) NFI(KFLB)=NFI(KFLB)+ISIGN(1,K(I,2)) ENDIF 140 CONTINUE C...Loop over attempts made. Reset counters. NTRY=0 150 NTRY=NTRY+1 IF(NTRY.GT.200) THEN CALL LUERRM(14,'(LUINDF:) caught in infinite loop') IF(MSTU(21).GE.1) RETURN ENDIF N=NSAV+NJET MSTU(90)=MSTU90 DO 160 J=1,3 NFL(J)=NFI(J) IFET(J)=0 KFLF(J)=0 160 CONTINUE C...Loop over jets to be fragmented. DO 230 IP1=NSAV+1,NSAV+NJET MSTJ(91)=0 NSAV1=N MSTU91=MSTU(90) C...Initial flavour and momentum values. Jet along +z axis. KFLH=IABS(K(IP1,2)) IF(KFLH.GT.10) KFLH=MOD(KFLH/1000,10) KFLO(2)=0 WF=P(IP1,4)+SQRT(P(IP1,1)**2+P(IP1,2)**2+P(IP1,3)**2) C...Initial values for quark or diquark jet. 170 IF(IABS(K(IP1,2)).NE.21) THEN NSTR=1 KFLO(1)=K(IP1,2) CALL LUPTDI(0,PXO(1),PYO(1)) WO(1)=WF C...Initial values for gluon treated like random quark jet. ELSEIF(MSTJ(2).LE.2) THEN NSTR=1 IF(MSTJ(2).EQ.2) MSTJ(91)=1 KFLO(1)=INT(1.+(2.+PARJ(2))*RLU(0))*(-1)**INT(RLU(0)+0.5) CALL LUPTDI(0,PXO(1),PYO(1)) WO(1)=WF C...Initial values for gluon treated like quark-antiquark jet pair, C...sharing energy according to Altarelli-Parisi splitting function. ELSE NSTR=2 IF(MSTJ(2).EQ.4) MSTJ(91)=1 KFLO(1)=INT(1.+(2.+PARJ(2))*RLU(0))*(-1)**INT(RLU(0)+0.5) KFLO(2)=-KFLO(1) CALL LUPTDI(0,PXO(1),PYO(1)) PXO(2)=-PXO(1) PYO(2)=-PYO(1) WO(1)=WF*RLU(0)**(1./3.) WO(2)=WF-WO(1) ENDIF C...Initial values for rank, flavour, pT and W+. DO 220 ISTR=1,NSTR 180 I=N MSTU(90)=MSTU91 IRANK=0 KFL1=KFLO(ISTR) PX1=PXO(ISTR) PY1=PYO(ISTR) W=WO(ISTR) C...New hadron. Generate flavour and hadron species. 190 I=I+1 IF(I.GE.MSTU(4)-MSTU(32)-NJET-5) THEN CALL LUERRM(11,'(LUINDF:) no more memory left in LUJETS') IF(MSTU(21).GE.1) RETURN ENDIF IRANK=IRANK+1 K(I,1)=1 K(I,3)=IP1 K(I,4)=0 K(I,5)=0 200 CALL LUKFDI(KFL1,0,KFL2,K(I,2)) IF(K(I,2).EQ.0) GOTO 180 IF(MSTJ(12).GE.3.AND.IRANK.EQ.1.AND.IABS(KFL1).LE.10.AND. &IABS(KFL2).GT.10) THEN IF(RLU(0).GT.PARJ(19)) GOTO 200 ENDIF C...Find hadron mass. Generate four-momentum. P(I,5)=ULMASS(K(I,2)) CALL LUPTDI(KFL1,PX2,PY2) P(I,1)=PX1+PX2 P(I,2)=PY1+PY2 PR=P(I,5)**2+P(I,1)**2+P(I,2)**2 CALL LUZDIS(KFL1,KFL2,PR,Z) MZSAV=0 IF(IABS(KFL1).GE.4.AND.IABS(KFL1).LE.8.AND.MSTU(90).LT.8) THEN MZSAV=1 MSTU(90)=MSTU(90)+1 MSTU(90+MSTU(90))=I PARU(90+MSTU(90))=Z ENDIF P(I,3)=0.5*(Z*W-PR/MAX(1E-4,Z*W)) P(I,4)=0.5*(Z*W+PR/MAX(1E-4,Z*W)) IF(MSTJ(3).GE.1.AND.IRANK.EQ.1.AND.KFLH.GE.4.AND. &P(I,3).LE.0.001) THEN IF(W.GE.P(I,5)+0.5*PARJ(32)) GOTO 180 P(I,3)=0.0001 P(I,4)=SQRT(PR) Z=P(I,4)/W ENDIF C...Remaining flavour and momentum. KFL1=-KFL2 PX1=-PX2 PY1=-PY2 W=(1.-Z)*W DO 210 J=1,5 V(I,J)=0. 210 CONTINUE C...Check if pL acceptable. Go back for new hadron if enough energy. IF(MSTJ(3).GE.0.AND.P(I,3).LT.0.) THEN I=I-1 IF(MZSAV.EQ.1) MSTU(90)=MSTU(90)-1 ENDIF IF(W.GT.PARJ(31)) GOTO 190 N=I 220 CONTINUE IF(MOD(MSTJ(3),5).EQ.4.AND.N.EQ.NSAV1) WF=WF+0.1*PARJ(32) IF(MOD(MSTJ(3),5).EQ.4.AND.N.EQ.NSAV1) GOTO 170 C...Rotate jet to new direction. THE=ULANGL(P(IP1,3),SQRT(P(IP1,1)**2+P(IP1,2)**2)) PHI=ULANGL(P(IP1,1),P(IP1,2)) MSTU(33)=1 CALL LUDBRB(NSAV1+1,N,THE,PHI,0D0,0D0,0D0) K(K(IP1,3),4)=NSAV1+1 K(K(IP1,3),5)=N C...End of jet generation loop. Skip conservation in some cases. 230 CONTINUE IF(NJET.EQ.1.OR.MSTJ(3).LE.0) GOTO 490 IF(MOD(MSTJ(3),5).NE.0.AND.N-NSAV-NJET.LT.2) GOTO 150 C...Subtract off produced hadron flavours, finished if zero. DO 240 I=NSAV+NJET+1,N KFA=IABS(K(I,2)) KFLA=MOD(KFA/1000,10) KFLB=MOD(KFA/100,10) KFLC=MOD(KFA/10,10) IF(KFLA.EQ.0) THEN IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)-ISIGN(1,K(I,2))*(-1)**KFLB IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)+ISIGN(1,K(I,2))*(-1)**KFLB ELSE IF(KFLA.LE.3) NFL(KFLA)=NFL(KFLA)-ISIGN(1,K(I,2)) IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)-ISIGN(1,K(I,2)) IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)-ISIGN(1,K(I,2)) ENDIF 240 CONTINUE NREQ=(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3))-IABS(NFL(1)+ &NFL(2)+NFL(3)))/2+IABS(NFL(1)+NFL(2)+NFL(3))/3 IF(NREQ.EQ.0) GOTO 320 C...Take away flavour of low-momentum particles until enough freedom. NREM=0 250 IREM=0 P2MIN=PECM**2 DO 260 I=NSAV+NJET+1,N P2=P(I,1)**2+P(I,2)**2+P(I,3)**2 IF(K(I,1).EQ.1.AND.P2.LT.P2MIN) IREM=I IF(K(I,1).EQ.1.AND.P2.LT.P2MIN) P2MIN=P2 260 CONTINUE IF(IREM.EQ.0) GOTO 150 K(IREM,1)=7 KFA=IABS(K(IREM,2)) KFLA=MOD(KFA/1000,10) KFLB=MOD(KFA/100,10) KFLC=MOD(KFA/10,10) IF(KFLA.GE.4.OR.KFLB.GE.4) K(IREM,1)=8 IF(K(IREM,1).EQ.8) GOTO 250 IF(KFLA.EQ.0) THEN ISGN=ISIGN(1,K(IREM,2))*(-1)**KFLB IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)+ISGN IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)-ISGN ELSE IF(KFLA.LE.3) NFL(KFLA)=NFL(KFLA)+ISIGN(1,K(IREM,2)) IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)+ISIGN(1,K(IREM,2)) IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)+ISIGN(1,K(IREM,2)) ENDIF NREM=NREM+1 NREQ=(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3))-IABS(NFL(1)+ &NFL(2)+NFL(3)))/2+IABS(NFL(1)+NFL(2)+NFL(3))/3 IF(NREQ.GT.NREM) GOTO 250 DO 270 I=NSAV+NJET+1,N IF(K(I,1).EQ.8) K(I,1)=1 270 CONTINUE C...Find combination of existing and new flavours for hadron. 280 NFET=2 IF(NFL(1)+NFL(2)+NFL(3).NE.0) NFET=3 IF(NREQ.LT.NREM) NFET=1 IF(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3)).EQ.0) NFET=0 DO 290 J=1,NFET IFET(J)=1+(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3)))*RLU(0) KFLF(J)=ISIGN(1,NFL(1)) IF(IFET(J).GT.IABS(NFL(1))) KFLF(J)=ISIGN(2,NFL(2)) IF(IFET(J).GT.IABS(NFL(1))+IABS(NFL(2))) KFLF(J)=ISIGN(3,NFL(3)) 290 CONTINUE IF(NFET.EQ.2.AND.(IFET(1).EQ.IFET(2).OR.KFLF(1)*KFLF(2).GT.0)) &GOTO 280 IF(NFET.EQ.3.AND.(IFET(1).EQ.IFET(2).OR.IFET(1).EQ.IFET(3).OR. &IFET(2).EQ.IFET(3).OR.KFLF(1)*KFLF(2).LT.0.OR.KFLF(1)*KFLF(3) &.LT.0.OR.KFLF(1)*(NFL(1)+NFL(2)+NFL(3)).LT.0)) GOTO 280 IF(NFET.EQ.0) KFLF(1)=1+INT((2.+PARJ(2))*RLU(0)) IF(NFET.EQ.0) KFLF(2)=-KFLF(1) IF(NFET.EQ.1) KFLF(2)=ISIGN(1+INT((2.+PARJ(2))*RLU(0)),-KFLF(1)) IF(NFET.LE.2) KFLF(3)=0 IF(KFLF(3).NE.0) THEN KFLFC=ISIGN(1000*MAX(IABS(KFLF(1)),IABS(KFLF(3)))+ & 100*MIN(IABS(KFLF(1)),IABS(KFLF(3)))+1,KFLF(1)) IF(KFLF(1).EQ.KFLF(3).OR.(1.+3.*PARJ(4))*RLU(0).GT.1.) & KFLFC=KFLFC+ISIGN(2,KFLFC) ELSE KFLFC=KFLF(1) ENDIF CALL LUKFDI(KFLFC,KFLF(2),KFLDMP,KF) IF(KF.EQ.0) GOTO 280 DO 300 J=1,MAX(2,NFET) NFL(IABS(KFLF(J)))=NFL(IABS(KFLF(J)))-ISIGN(1,KFLF(J)) 300 CONTINUE C...Store hadron at random among free positions. NPOS=MIN(1+INT(RLU(0)*NREM),NREM) DO 310 I=NSAV+NJET+1,N IF(K(I,1).EQ.7) NPOS=NPOS-1 IF(K(I,1).EQ.1.OR.NPOS.NE.0) GOTO 310 K(I,1)=1 K(I,2)=KF P(I,5)=ULMASS(K(I,2)) P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2) 310 CONTINUE NREM=NREM-1 NREQ=(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3))-IABS(NFL(1)+ &NFL(2)+NFL(3)))/2+IABS(NFL(1)+NFL(2)+NFL(3))/3 IF(NREM.GT.0) GOTO 280 C...Compensate for missing momentum in global scheme (3 options). 320 IF(MOD(MSTJ(3),5).NE.0.AND.MOD(MSTJ(3),5).NE.4) THEN DO 340 J=1,3 PSI(J)=0. DO 330 I=NSAV+NJET+1,N PSI(J)=PSI(J)+P(I,J) 330 CONTINUE 340 CONTINUE PSI(4)=PSI(1)**2+PSI(2)**2+PSI(3)**2 PWS=0. DO 350 I=NSAV+NJET+1,N IF(MOD(MSTJ(3),5).EQ.1) PWS=PWS+P(I,4) IF(MOD(MSTJ(3),5).EQ.2) PWS=PWS+SQRT(P(I,5)**2+(PSI(1)*P(I,1)+ & PSI(2)*P(I,2)+PSI(3)*P(I,3))**2/PSI(4)) IF(MOD(MSTJ(3),5).EQ.3) PWS=PWS+1. 350 CONTINUE DO 370 I=NSAV+NJET+1,N IF(MOD(MSTJ(3),5).EQ.1) PW=P(I,4) IF(MOD(MSTJ(3),5).EQ.2) PW=SQRT(P(I,5)**2+(PSI(1)*P(I,1)+ & PSI(2)*P(I,2)+PSI(3)*P(I,3))**2/PSI(4)) IF(MOD(MSTJ(3),5).EQ.3) PW=1. DO 360 J=1,3 P(I,J)=P(I,J)-PSI(J)*PW/PWS 360 CONTINUE P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2) 370 CONTINUE C...Compensate for missing momentum withing each jet separately. ELSEIF(MOD(MSTJ(3),5).EQ.4) THEN DO 390 I=N+1,N+NJET K(I,1)=0 DO 380 J=1,5 P(I,J)=0. 380 CONTINUE 390 CONTINUE DO 410 I=NSAV+NJET+1,N IR1=K(I,3) IR2=N+IR1-NSAV K(IR2,1)=K(IR2,1)+1 PLS=(P(I,1)*P(IR1,1)+P(I,2)*P(IR1,2)+P(I,3)*P(IR1,3))/ & (P(IR1,1)**2+P(IR1,2)**2+P(IR1,3)**2) DO 400 J=1,3 P(IR2,J)=P(IR2,J)+P(I,J)-PLS*P(IR1,J) 400 CONTINUE P(IR2,4)=P(IR2,4)+P(I,4) P(IR2,5)=P(IR2,5)+PLS 410 CONTINUE PSS=0. DO 420 I=N+1,N+NJET IF(K(I,1).NE.0) PSS=PSS+P(I,4)/(PECM*(0.8*P(I,5)+0.2)) 420 CONTINUE DO 440 I=NSAV+NJET+1,N IR1=K(I,3) IR2=N+IR1-NSAV PLS=(P(I,1)*P(IR1,1)+P(I,2)*P(IR1,2)+P(I,3)*P(IR1,3))/ & (P(IR1,1)**2+P(IR1,2)**2+P(IR1,3)**2) DO 430 J=1,3 P(I,J)=P(I,J)-P(IR2,J)/K(IR2,1)+(1./(P(IR2,5)*PSS)-1.)*PLS* & P(IR1,J) 430 CONTINUE P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2) 440 CONTINUE ENDIF C...Scale momenta for energy conservation. IF(MOD(MSTJ(3),5).NE.0) THEN PMS=0. PES=0. PQS=0. DO 450 I=NSAV+NJET+1,N PMS=PMS+P(I,5) PES=PES+P(I,4) PQS=PQS+P(I,5)**2/P(I,4) 450 CONTINUE IF(PMS.GE.PECM) GOTO 150 NECO=0 460 NECO=NECO+1 PFAC=(PECM-PQS)/(PES-PQS) PES=0. PQS=0. DO 480 I=NSAV+NJET+1,N DO 470 J=1,3 P(I,J)=PFAC*P(I,J) 470 CONTINUE P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2) PES=PES+P(I,4) PQS=PQS+P(I,5)**2/P(I,4) 480 CONTINUE IF(NECO.LT.10.AND.ABS(PECM-PES).GT.2E-6*PECM) GOTO 460 ENDIF C...Origin of produced particles and parton daughter pointers. 490 DO 500 I=NSAV+NJET+1,N IF(MSTU(16).NE.2) K(I,3)=NSAV+1 IF(MSTU(16).EQ.2) K(I,3)=K(K(I,3),3) 500 CONTINUE DO 510 I=NSAV+1,NSAV+NJET I1=K(I,3) K(I1,1)=K(I1,1)+10 IF(MSTU(16).NE.2) THEN K(I1,4)=NSAV+1 K(I1,5)=NSAV+1 ELSE K(I1,4)=K(I1,4)-NJET+1 K(I1,5)=K(I1,5)-NJET+1 IF(K(I1,5).LT.K(I1,4)) THEN K(I1,4)=0 K(I1,5)=0 ENDIF ENDIF 510 CONTINUE C...Document independent fragmentation system. Remove copy of jets. NSAV=NSAV+1 K(NSAV,1)=11 K(NSAV,2)=93 K(NSAV,3)=IP K(NSAV,4)=NSAV+1 K(NSAV,5)=N-NJET+1 DO 520 J=1,4 P(NSAV,J)=DPS(J) V(NSAV,J)=V(IP,J) 520 CONTINUE P(NSAV,5)=SQRT(MAX(0D0,DPS(4)**2-DPS(1)**2-DPS(2)**2-DPS(3)**2)) V(NSAV,5)=0. DO 540 I=NSAV+NJET,N DO 530 J=1,5 K(I-NJET+1,J)=K(I,J) P(I-NJET+1,J)=P(I,J) V(I-NJET+1,J)=V(I,J) 530 CONTINUE 540 CONTINUE N=N-NJET+1 DO 550 IZ=MSTU90+1,MSTU(90) MSTU(90+IZ)=MSTU(90+IZ)-NJET+1 550 CONTINUE C...Boost back particle system. Set production vertices. IF(NJET.NE.1) CALL LUDBRB(NSAV+1,N,0.,0.,DPS(1)/DPS(4), &DPS(2)/DPS(4),DPS(3)/DPS(4)) DO 570 I=NSAV+1,N DO 560 J=1,4 V(I,J)=V(IP,J) 560 CONTINUE 570 CONTINUE RETURN END