#include "isajet/pilot.h" SUBROUTINE SIGKKG C C Compute the KK graviton direct production cross-section C d(sigma)/d(m**2)d(pT**2)d(y3)d(y4) C X-sections: G.F.Giudice et al. hep-ph/9811291 C Kinematics: sigdy.car (Drell-Yan + jet) C #if defined(CERNLIB_IMPNONE) IMPLICIT NONE #endif C #include "isajet/itapes.inc" #include "isajet/qcdpar.inc" #include "isajet/jetpar.inc" #include "isajet/primar.inc" #include "isajet/q1q2.inc" #include "isajet/jetsig.inc" #include "isajet/qsave.inc" #include "isajet/wcon.inc" #include "isajet/const.inc" #include "isajet/nodcay.inc" #include "isajet/kkgrav.inc" C REAL X(2) REAL Z,S,T,U,QMW2,QZW,EHAT,Q2SAVE,YHAT,EY,P3Z,P1,P2,AMASS,ANEFF, $SIG0,DENOM,QT2CUT,SIGT,SIGU,FAC,PROP,FACTOR,SIG,AMT,AMT2,SWT, $P1WT,P2WT,X1WT,X2WT,TWT,UWT,Q2,QFCN,STRUC,XX,ACOSH,ATANH,P2M,P1M REAL AMI2,AMF2,EFWT REAL AJLWT,AJLZT1,AJLZT2,A2,A2B2,QQ,TM2 INTEGER I,IQ,IH,IQ1,IFL,IQ2,IW,IQ3 INTEGER NZERO(4) REAL AMFAC(13) INTEGER NUTYP(25) INTEGER IFL1,IFL2 REAL TERM REAL KKGF1,KKGF2,KKGF3,SIG1,SIG2,XG,YG,F1,F2T,F2U,F3 EQUIVALENCE (S,SHAT),(T,THAT),(U,UHAT),(X(1),X1) C Electric charge: REAL CHARGE EXTERNAL CHARGE C C Kinematics: (Drell-Yan plus jet) C QMW2=QMW**2 QTMW=SQRT(QMW2+QTW**2) Q0W=QTMW*COSH(YW) QZW=QTMW*SINH(YW) QW=SQRT(QZW**2+QTW**2) C Protect against errors IF(QW.NE.0.) THEN CTHW=QZW/QW STHW=QTW/QW IF(ABS(CTHW).LT.1.) THEN THW=ACOS(CTHW) ELSE CTHW=0. STHW=1. THW=.5*PI ENDIF ELSE CTHW=0. STHW=1. THW=.5*PI ENDIF c Drell-Yan plus jet P3Z=P(3)*CTH(3) SHAT=QMW2+2.*Q0W*P(3)-2.*QZW*P3Z+2.*PT(3)**2 P1=.5*(P(3)+P3Z+Q0W+QZW) P2=.5*(P(3)-P3Z+Q0W-QZW) X1=P1/HALFE X2=P2/HALFE THAT=-2.*P1*(P(3)-P3Z) UHAT=-2.*P2*(P(3)+P3Z) QSQ=QTW**2 QSQ=AMAX1(QSQ,4.) ANEFF=4.+QSQ/(QSQ+AMASS(5)**2)+QSQ/(QSQ+AMASS(6)**2) ALFQSQ=12.*PI/((33.-2.*ANEFF)*ALOG(QSQ/ALAM2)) Q2SAVE=QSQ QSQ=SHAT C C Initialize C SIGMA=0. NSIGS=0 DO 100 I=1,MXSIGS SIGS(I)=0. 100 CONTINUE IF(X1.GE.1..OR.X2.GE.1.) RETURN C C Structure functions C DO 110 IH=1,2 DO 120 IQ=1,11 QSAVE(IQ,IH)=STRUC(X(IH),QSQ,IQ,IDIN(IH))/X(IH) 120 CONTINUE QSAVE(12,IH)=0 QSAVE(13,IH)=0 110 CONTINUE QSQ=Q2SAVE C IF((THAT/SHAT).EQ.0.) RETURN IF(ABS(THAT/SHAT+1).LT.1.E-06) RETURN F1=KKGF1(SHAT,THAT,QMW2) F2T=KKGF2(SHAT,THAT,QMW2) F2U=KKGF2(SHAT,UHAT,QMW2) F3=KKGF3(SHAT,THAT,QMW2) IF(F1.LE.0.OR.F2T.LE.0.OR.F2U.LE.0.OR.F3.LE.0) RETURN C SIG0=UNITS*0.5*KKGSD*ALFQSQ*QMW**(NEXTRAD-2)/SCM C C Jet 3 = gamma: C IF(GOQ(26,3)) THEN SIG1=UNITS*0.5*KKGSD*ALFA*QMW**(NEXTRAD-2)/SCM SIG1=SIG1*F1/48.0 C qk + qb --> gamma + KKG DO 410 IFL=1,5 IQ1=2*IFL IQ2=IQ1+1 SIG2=SIG1*ABS(CHARGE(IFL)) SIG=SIG2*QSAVE(IQ1,1)*QSAVE(IQ2,2) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,IQ1,IQ2,5,26) SIG=SIG2*QSAVE(IQ2,1)*QSAVE(IQ1,2) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,IQ2,IQ1,5,26) 410 CONTINUE ENDIF C C Jet 3 = gluon: C IF(GOQ(1,3)) THEN SIG1=SIG0*F1/36.0 C qk + qb --> gl + KKG DO 210 IFL=1,5 IQ1=2*IFL IQ2=IQ1+1 SIG=SIG1*QSAVE(IQ1,1)*QSAVE(IQ2,2) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,IQ1,IQ2,5,1) SIG=SIG1*QSAVE(IQ2,1)*QSAVE(IQ1,2) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,IQ1,IQ1,5,1) 210 CONTINUE C gl + gl --> gl + KKG SIG1=SIG0*F3*3.0/16.0 SIG=SIG1*QSAVE(1,1)*QSAVE(1,2) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,1,1,5,1) ENDIF C C Jet 3 = quark: C SIGT=SIG0*F2T/96.0 SIGU=SIG0*F2U/96.0 C qk + gl --> qk + KKG DO 310 IQ1=2,11 IQ3=IQ1 IF(GOQ(IQ3,3)) THEN SIG=SIGU*QSAVE(IQ1,1)*QSAVE(1,2) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,IQ1,1,5,IQ3) SIG=SIGT*QSAVE(IQ1,2)*QSAVE(1,1) IF(UVCUT.AND.SHAT.GE.(MASSD**2)) SIG=SIG*(MASSD**2/SHAT)**2 CALL SIGFIL(SIG,1,IQ1,5,IQ3) ENDIF 310 CONTINUE C RETURN END