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lqgenep.f_original
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lqgenep.f_original
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*-----------------
* File: lqgenep.f
*-----------------
*
subroutine LQGENEP(Nevt,flag)
C------------------------------------------
C...Main program for leptoquark generation
C...in electron-proton scattering
C------------------------------------------
C...All real arithmetic in double precision.
IMPLICIT DOUBLE PRECISION(A-H, O-Z)
Integer flag, itau,id,ii,ij
C...LQGENEP run setup parameters
double precision BEAMPAR,LQGPAR3,
> ptnt,phnt,ptt,pht,pth,phh,
> ptx,pty,ptz,phx,phy,phz,
> ptid, phid,ppid,pxid,pyid,pzid
integer LQGPAR1,LQGPAR2
COMMON/LQGDATA/BEAMPAR(3),LQGPAR1(10),LQGPAR2(10),LQGPAR3(20)
C...LQGENEP event informations
double precision LQGKPAR,LQGDDX
integer LQGPID
COMMON/LQGEVT/LQGKPAR(3),LQGDDX(3),LQGPID(3)
C...Pythia declarations.
C...Three Pythia functions return integers, so need declaring.
INTEGER PYK,PYCHGE,PYCOMP
C...Parameter statement to help give large particle numbers
C...(left- and righthanded SUSY, excited fermions).
PARAMETER (KSUSY1=1000000,KSUSY2=2000000,KEXCIT=4000000)
C...EXTERNAL statement links PYDATA on most machines.
EXTERNAL PYDATA
*
C...Pythia Commonblocks.
C...The event record.
COMMON/PYJETS/N,NPAD,K(4000,5),P(4000,5),V(4000,5)
C...Parameters.
COMMON/PYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
C...Particle properties + some flavour parameters.
COMMON/PYDAT2/KCHG(500,4),PMAS(500,4),PARF(2000),VCKM(4,4)
C...Decay information.
COMMON/PYDAT3/MDCY(500,3),MDME(4000,2),BRAT(4000),KFDP(4000,5)
C...Selection of hard scattering subprocesses.
COMMON/PYSUBS/MSEL,MSELPD,MSUB(500),KFIN(2,-40:40),CKIN(200)
C...Parameters.
COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200)
C...Process information.
COMMON/PYINT1/MINT(400),VINT(400)
COMMON/PYINT2/ISET(500),KFPR(500,2),COEF(500,20),ICOL(40,4,2)
C...Supersymmetry parameters.
COMMON/PYMSSM/IMSS(0:99),RMSS(0:99)
SAVE /PYJETS/,/PYDAT1/,/PYDAT2/,/PYDAT3/,/PYSUBS/,/PYPARS/,
>/PYINT2/,/PYMSSM/
C...Local Array.
DIMENSION NCHN(12),QVEC(4)
DATA NCHN/12*0/
C...Internal used common
C# LQGpar1.inc #
integer echar
double precision ebeam,pbeam
common /LQGbeam/ebeam,pbeam,echar
C# LQGpdfC.inc #
character*20 parm(20)
double precision pdfsf(20)
common /LQGpdfC/ pdfsf
C# LQGKinC.inc #
double precision xmax,xmin,ymax,ymin,zmax,zmin,Q2min
common /LQGKinC/ xmax,xmin,ymax,ymin,zmax,zmin,Q2min
C# LQGproc.inc #
double precision Mlq,G1,G2
Integer LQtype,l_o,q_i,q_j
common /LQGproc/ Mlq,G1,G2,LQtype,l_o,q_i,q_j
C# LQGKinV.inc #
double precision S,Srad,x,y,z,Q2
common /LQGKinV/ S,Srad,x,y,z,Q2
C# LQGout.inc #
double precision DXSEC(3),pvalence
integer q_o,q_s,genproc,genprtyp,sch,uch,gproc(8)
common /LQGout/ DXSEC,pvalence,q_o,q_s,genproc,genprtyp,
>sch,uch,gproc
C...processes
integer ibea
Character*9 chbea(2)
Character*12 chprod(2,3)
data chbea /'e+ qi -> ','e- qi -> '/
data chprod /' -> e+ qj',' -> e- qj',
> ' -> mu+ qj',' -> mu- qj',
> ' -> tau+ qj',' -> tau- qj'/
C...LQ type
Character*7 LQCHA(14)
DATA LQCHA /'S_0L','S_0R','~S_0R','S_1L',
> 'V_1/2L','V_1/2R','~V_1/2L',
> 'V_0L','V_0R','~V_0R','V_1L',
> 'S_1/2L','S_1/2R','~S_1/2L'/
C...Local declarations
Real pxtot,pytot,pztot,etot,ecmtot,
> pxsum,pysum,pzsum,esum,ecmsum,
> pxlow,pxhi,pylow,pyhi,pzlow,pzhi,elow,ehi,ecmlow,ecmhi
C-----------------------------------------------------------------
Integer Nwds_HBOOK
Parameter (Nwds_HBOOK=100000)
Real HMEM
Common /PAWC/ HMEM(Nwds_HBOOK)
C...FLAG=0 -> First section: inizialization
If(flag.eq.0)then
C.. LQGENEP banner
call LQGBAN
C.. Hbook inizialization
if(LQGPAR1(3).gt.0)Call HLIMIT(Nwds_HBOOK)
if(LQGPAR1(3).lt.0)Call HLIMIT(-Nwds_HBOOK)
C...beams properties.
echar=beampar(1)
Ebeam=beampar(2)
Pbeam=beampar(3)
S=4.d0*Ebeam*Pbeam
C...LQ properties
MLQ=LQGPAR3(1)
G1=LQGPAR3(2)
G2=LQGPAR3(3)
LQTYPE=LQGPAR2(1)
C... outcoming lepton
l_o=LQGPAR2(4)
C... incoming and outcoming quark generation
q_i=LQGPAR2(2)
q_j=LQGPAR2(3)
C... kinematic ranges
xmin=LQGPAR3(4)
xmax=LQGPAR3(5)
ymin=LQGPAR3(6)
ymax=LQGPAR3(7)
Zmin=0.d0
Zmax=1.d0
Q2min=LQGPAR3(8)
C... print LQGENEP generation run settings
call LQGPRI1
C... structure function
parm(1)='NPTYPE'
parm(2)='NGROUP'
parm(3)='NSET'
pdfsf(1)= LQGPAR3(9)
pdfsf(2)= LQGPAR3(10)
pdfsf(3)= LQGPAR3(11)
call PDFSET(PARM,pdfsf)
C... Pythia initialization
P(1,1)=0D0
P(1,2)=0D0
P(1,3)=-Ebeam
P(2,1)=0D0
P(2,2)=0D0
P(2,3)=Pbeam
C...Evaluate limits for total momentum and energy histos
if(LQGPAR1(3).gt.0)then
pxtot=sngl(P(1,1)+P(2,1))
pytot=sngl(P(1,2)+P(2,2))
pztot=sngl(P(1,3)+P(2,3))
etot=sngl(dabs(P(1,3))+dabs(P(2,3)))
ecmtot=sqrt(etot*etot-(pxtot*pxtot+pytot*pytot+pztot*pztot))
if(pxtot.gt.0)then
pxlow=pxtot-0.01*pxtot
pxhi=pxtot+0.01*pxtot
else
pxlow=pxtot-1.
pxhi=pxtot+1.
endif
if(pytot.gt.0)then
pylow=pytot-0.01*pytot
pyhi=pytot+0.01*pytot
else
pylow=pytot-1.
pyhi=pytot+1.
endif
if(pztot.gt.0)then
pzlow=pztot-0.01*pztot
pzhi=pztot+0.01*pztot
else
pzlow=pztot-1.
pzhi=pztot+1.
endif
if(etot.gt.0)then
elow=etot-0.01*etot
ehi=etot+0.01*etot
else
elow=etot-1.
ehi=etot+1.
endif
if(ecmtot.gt.0)then
ecmlow=ecmtot-0.01*ecmtot
ecmhi=ecmtot+0.01*ecmtot
else
ecmlow=ecmtot-1.
ecmhi=ecmtot+1.
endif
endif
C...Initialize Pythia
if(LQGPAR1(5).eq.0)then
Isub=401
else
Isub=LQGPAR1(5)
endif
sch=0.d0
uch=0.d0
call vzero(gproc,8)
sigmax=LQGPAR3(12)
if(echar.gt.0)then
ibea=1
else
ibea=2
endif
CALL PYUPIN(ISUB,
> CHBEA(ibea)//LQCHA(LQTYPE)//CHPROD(ibea,l_o),sigmax)
MSEL=0
MSUB(ISUB)=1
*
if(beampar(1).GT.0)then
CALL PYINIT('USER','e+','p',0D0)
else
CALL PYINIT('USER','e-','p',0D0)
endif
if(LQGPAR1(3).ne.0)then
C...Book histos.
call hropen(69,'lqgenep','lqgenep.histo','N',1024,ierr)
CALL hbook1(1000,'x gen',50,sngl(xmin),sngl(xmax),0.)
CALL hbook1(1001,'x gen s-ch.',50,sngl(xmin),sngl(xmax),0.)
CALL hbook1(1002,'x gen u-ch',50,sngl(xmin),sngl(xmax),0.)
CALL hbook1(2000,'y gen',50,sngl(ymin),sngl(ymax),0.)
CALL hbook1(2001,'y gen s-ch',50,sngl(ymin),sngl(ymax),0.)
CALL hbook1(2002,'y gen u-ch',50,sngl(ymin),sngl(ymax),0.)
CALL hbook1(3000,'Q2 gen',50,0.,6.,0.)
call hbook1(5001,'sum px',100,pxlow,pxhi,0.)
call hbook1(5002,'sum py',100,pylow,pyhi,0.)
call hbook1(5003,'sum pz',100,pzlow,pzhi,0.)
call hbook1(5004,'sum e',100,elow,ehi,0.)
call hbook1(5000,'center of mass energy',
> 100,ecmlow,ecmhi,0.)
endif
write(6,*)
endif
C-----------------------------------------------------------------
C...FLAG=1 -> Second section: event generation
if(flag.eq.1)Then
CALL PYEVNT
c print*,"The no. of event is",LQGPAR1(4)
CALL PYHEPC(1)
C...s-u channel
if(genproc.eq.1)sch=sch+1
if(genproc.eq.2)uch=uch+1
C...process type
gproc(genprtyp)=gproc(genprtyp)+1
C...Fill event informations common
LQGKPAR(1)=X
LQGKPAR(2)=Y
LQGKPAR(3)=Q2
LQGDDX(1)=(DXSEC(2)+DXSEC(3))*1.d-9
LQGDDX(2)=DXSEC(3)*1.d-9
LQGDDX(3)=DXSEC(2)*1.d-9
LQGPID(1)=q_s
LQGPID(2)=q_o
if(genproc.eq.1)then
LQGPID(3)=1
elseif(genproc.eq.2)then
LQGPID(3)=2
endif
**swadhin: HADRONIC TAU DECAY
*Here particle that are not decayed are called (except neutrinos) and their pT are added. The sum is called pT Miss.
do 60 J=1,N
if ((K(J,1).EQ.11).and.
> (K(J,2).EQ.15)) then ! find tau and get it's line number
idt=J
idtd=K(J,4) ! tau decay's to what line number
endif
do 45 l=1,N
if (l.EQ.idt) then
ptt=PYP(l,10)
pxt=P(l,1)
pyt=P(l,2)
pht=PYP(l,16)
ppt=PYP(l,14)
endif
45 enddo
if ((K(J,1).EQ.1).and.
> (K(J,2).EQ.16)
> .and.(K(J,3).EQ.idt)) then ! find tau neutrino and get it's line number
idtnu=J
endif
if ((J.EQ.idtd) ! line number is the decay of tau
> .and.(K(J,2).NE.-12) ! this decay is not nu_ebar
> .and.(K(J,2).NE.-14)) then ! this decay is not nu_mubar
ptid=0.d0
pxid=0.d0
pyid=0.d0
pzid=0.d0
do 50 I=1,N
if ((K(I,1).LT.11) ! Anything that doesn't decay = Final Product
> .and.(K(I,2).NE.12) ! Final Product NOT AN Electron neutrino
> .and.(K(I,2).NE.14) ! Final Product NOT AN Muon neutrino
> .and.(K(I,2).NE.16) ! Final Product NOT AN Tau neutrino
> .and.(K(I,2).NE.-12) ! Final Product NOT AN Electron neutrino
> .and.(K(I,2).NE.-14) ! Final Product NOT AN Muon neutrino
> .and.(K(I,2).NE.-16)) then ! Final Product NOT A Tau neutrino
ptid=ptid+PYP(I,10)
pxid=pxid+P(I,1)
pyid=pyid+P(I,2)
pzid=pzid+P(I,3)
endif
50 enddo
!!Delta Phi < 20 cut
if (pyid.GT.0.) then
phimiss=acos(pxid/sqrt(pxid*pxid+pyid*pyid))*180/(3.14159)
endif
if (pyid.LT.0.) then
phimiss=-acos(pxid/sqrt(pxid*pxid+pyid*pyid))*180/(3.14159)
endif
if(abs(phimiss-pht).GT.180.) then
dphimiss= 360-abs(phimiss-pht)
endif
if(abs(phimiss-pht).GT.180.) then
dphimiss= abs(phimiss-pht)
endif
if (dphimiss.LT.20.) then
write(8,10)LQGPAR1(4),pxid,pyid,pxt,
> pyt,pht,ppt
endif
10 FORMAT(I8,6(1PE14.6))
endif
60 enddo
C...List first few events.
LQGPAR1(4)=LQGPAR1(4)+1
if(LQGPAR1(4).LE.LQGPAR1(2)) CALL PYLIST(2)
C.. Swadhin
if(mod(LQGPAR1(4),1000).eq.0)then
write(6,1000) LQGPAR1(4)
1000 format('>>>>>> ',I8,
> ' events succesfully generated <<<<<<')
endif
if(LQGPAR1(3).ne.0)then
C...Fill histos
CALL HF1(1000,sngl(x),1.)
if(genproc.eq.1)CALL HF1(1001,sngl(x),1.)
if(genproc.eq.2)CALL HF1(1002,sngl(x),1.)
CALL HF1(2000,sngl(y),1.)
if(genproc.eq.1)CALL HF1(2001,sngl(y),1.)
if(genproc.eq.2)CALL HF1(2002,sngl(y),1.)
CALL HF1(3000,log10(sngl(Q2)),1.)
C... final energy and momentum checks
px_sum=0.
py_sum=0.
pz_sum=0.
e_sum=0.
cme=0.
do 222 i=1,N
if(K(I,1).le.10)then
px_sum=px_sum+P(I,1)
py_sum=py_sum+P(I,2)
pz_sum=pz_sum+P(I,3)
e_sum=e_sum+P(I,4)
endif
222 enddo
cme=sqrt(e_sum**2-px_sum**2-py_sum**2-pz_sum**2)
call hf1(5001,sngl(px_sum),1.)
call hf1(5002,sngl(py_sum),1.)
call hf1(5003,sngl(pz_sum),1.)
call hf1(5004,sngl(e_sum),1.)
call hf1(5000,sngl(cme),1.)
endif
endif
C-----------------------------------------------------------------
C...FLAG=2 -> Third section: Termination
if(flag.eq.2)Then
write(6,*)
C...Pythia final table.
CALL PYSTAT(1)
write(6,*)
C...LQGENEP final statistics.
CALL LQGPRI2
C...Closing Histograms.
if(LQGPAR1(3).ne.0)then
Call HCDIR('//lqgenep',' ')
CALL HROUT(0,ICYCLE,' ')
CALL HREND('lqgenep')
endif
endif
END
*
C*********************************************************************
SUBROUTINE PYUPEV(ISUB,SIGEV)
C-------------------------------------------
C...Pythia routine for user external process
C-------------------------------------------
C...Double precision and integer declarations.
IMPLICIT DOUBLE PRECISION(A-H, O-Z)
IMPLICIT INTEGER(I-N)
INTEGER PYK,PYCHGE,PYCOMP
C# LQGpar1.inc #
integer echar
double precision ebeam,pbeam
common /LQGbeam/ebeam,pbeam,echar
C# LQGpdfC.inc #
double precision pdfsf(20)
common /LQGpdfC/ pdfsf
C# LQGKinC.inc #
double precision xmax,xmin,ymax,ymin,zmax,zmin,Q2min
common /LQGKinC/ xmax,xmin,ymax,ymin,zmax,zmin,Q2min
C# LQGproc.inc #
double precision Mlq,G1,G2
Integer LQtype,l_o,q_i,q_j
common /LQGproc/ Mlq,G1,G2,LQtype,l_o,q_i,q_j
C# LQGKinV.inc #
double precision S,Srad,x,y,z,Q2
common /LQGKinV/ S,Srad,x,y,z,Q2
C# LQGout.inc #
double precision DXSEC(3),pvalence
integer q_o,q_s,genproc,genprtyp,sch,uch,gproc(8)
common /LQGout/ DXSEC,pvalence,q_o,q_s,genproc,genprtyp,
>sch,uch,gproc
C...
CHARACTER CHAF*16
COMMON /PYDAT4/CHAF(500,2)
COMMON/PYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
COMMON/PYUPPR/NUP,KUP(20,7),NFUP,IFUP(10,2),PUP(20,5),Q2UP(0:10)
SAVE /PYDAT1/,/PYUPPR/
C...Local arrays and parameters.
DIMENSION XPPs(-25:25),XPPu(-25:25),XPE(-25:25),TERM(20)
DATA PI/3.141592653589793D0/
* conversion from pb to mb
DATA CONV/1.D-9/
c DATA CONV/1.D0/
C...LQGENEP parameters
double precision BEAMPAR,LQGPAR3
integer LQGPAR1,LQGPAR2
COMMON/LQGDATA/BEAMPAR(3),LQGPAR1(10),LQGPAR2(10),LQGPAR3(20)
C...LQ names according to Aachen convention
Character*7 LQCHA(14)
DATA LQCHA /'S_0L','S_0R','~S_0R','S_1L',
> 'V_1/2L','V_1/2R','~V_1/2L',
> 'V_0L','V_0R','~V_0R','V_1L',
> 'S_1/2L','S_1/2R','~S_1/2L'/
C...
DATA KLQ /39/
*
sigev=0.d0
irej=0
* sigma
X=pyr(0)*(Xmax-Xmin)+Xmin
Y=pyr(0)*(Ymax-Ymin)+Ymin
Z=1
Srad=S*z
Q2=S*X*Y*Z
*
C... Evaluate double differential cross section
call LQGDDXS
*
dxdydz=(Xmax-Xmin)*(Ymax-Ymin)*(Zmax-Zmin)
Sigev=(DXSEC(2)+DXSEC(3))*conv*dxdydz
* fill Pythia variables for the generated process
* e beam
ECM2XZ=S*X*Z
ECMXZ=sqrt(ECM2XZ)
NUP=5
KUP(1,1)=1
KUP(1,2)=(echar)*-11
KUP(1,3)=0
KUP(1,4)=0
KUP(1,5)=0
KUP(1,6)=0
KUP(1,7)=0
PUP(1,1)=0.
PUP(1,2)=0.
PUP(1,4)=Z*sqrt(S)/2.d0
PUP(1,3)=PUP(1,4)
PUP(1,5)=0.
* p beam
KUP(2,1)=1
KUP(2,2)=q_s
KUP(2,3)=0
KUP(2,4)=0
KUP(2,5)=0
KUP(2,6)=0
KUP(2,7)=0
if(q_s.gt.0)then
KUP(2,6)=5
else
KUP(2,7)=5
endif
PUP(2,1)=0.
PUP(2,2)=0.
PUP(2,4)=X*sqrt(S)/2.d0
PUP(2,3)=-PUP(2,4)
PUP(2,5)=0.
* LQ
KUP(3,1)=2
KUP(3,2)=KLQ
CHAF(pycomp(KLQ),1)=LQCHA(LQTYPE)
KUP(3,3)=0
KUP(3,4)=0
KUP(3,5)=0
KUP(3,6)=0
KUP(3,7)=0
PUP(3,1)=PUP(2,1)+PUP(1,1)
PUP(3,2)=PUP(2,2)+PUP(1,2)
PUP(3,3)=PUP(2,3)+PUP(1,3)
PUP(3,4)=sqrt(ECM2XZ+PUP(3,1)**2+PUP(3,2)**2+PUP(3,3)**2)
PUP(3,5)=sqrt(ECM2XZ)
* final state in sub-system cm.
* final state lepton
theta=acos(1.d0-2.d0*Y)
PHI=2D0*PI*PYR(0)
rtshat=ECMXZ
KUP(4,1)=1
KUP(4,2)=echar*-(11+2*(l_o-1))
KUP(5,1)=1
KUP(5,2)=q_o
PUP(4,5)=PYMASS(KUP(4,2))
PUP(5,5)=PYMASS(KUP(5,2))
PUP44=0.5D0*(RTSHAT**2+PUP(4,5)**2-PUP(5,5)**2)/RTSHAT
PUP54=RTSHAT-PUP44
KUP(4,3)=3
KUP(4,4)=0
KUP(4,5)=0
KUP(4,6)=0
KUP(4,7)=0
if(irej.eq.1.and.PUP44**2-PUP(4,5)**2.lt.0)then
PMOD=1.d0
else
PMOD=sqrt(PUP44**2-PUP(4,5)**2)
endif
PUP(4,1)=PMOD*sin(theta)*cos(phi)
PUP(4,2)=PMOD*sin(theta)*sin(phi)
PUP43=PMOD*cos(theta)
PUP44=PUP(3,5)/2.d0
* final state quark
KUP(5,3)=3
KUP(5,4)=0
KUP(5,5)=0
KUP(5,6)=0
KUP(5,7)=0
if(q_o.gt.0)then
KUP(5,4)=2
else
KUP(5,5)=2
endif
PUP(5,1)=0.
PUP(5,2)=0.
if(irej.eq.1.and.PUP54**2-PUP(5,5)**2.lt.0)then
PMOD=1.d0
else
PMOD=sqrt(PUP54**2-PUP(5,5)**2)
endif
PUP(5,1)=-PUP(4,1)
PUP(5,2)=-PUP(4,2)
PUP53=-PUP43
* Longitudinal boost to cm frame
beta=(z-x)/(z+x)
gamma=0.5d0*(z+x)/sqrt(x*z)
PUP(4,3)=GAMMA*(PUP43+BETA*PUP44)
PUP(4,4)=GAMMA*(PUP44+BETA*PUP43)
PUP(5,3)=GAMMA*(PUP53+BETA*PUP54)
PUP(5,4)=GAMMA*(PUP54+BETA*PUP53)
*
NFUP=1
IFUP(1,1)=4
IFUP(1,2)=5
Q2UP(0)=Q2
Q2UP(1)=Q2
RETURN
END
*
SUBROUTINE LQGDDXS
C----------------------------------------------
C...Evaluate double differential cross section
C... d^2 sigma / dx dy
C----------------------------------------------
*
implicit none
*
C# LQGpar1.inc #
integer echar
double precision ebeam,pbeam
common /LQGbeam/ebeam,pbeam,echar
C# LQGpdfC.inc #
double precision pdfsf(20)
common /LQGpdfC/ pdfsf
C# LQGKinC.inc #
double precision xmax,xmin,ymax,ymin,zmax,zmin,Q2min
common /LQGKinC/ xmax,xmin,ymax,ymin,zmax,zmin,Q2min
C# LQGproc.inc #
double precision Mlq,G1,G2
Integer LQtype,l_o,q_i,q_j
common /LQGproc/ Mlq,G1,G2,LQtype,l_o,q_i,q_j
C# LQGKinV.inc #
double precision S,Srad,x,y,z,Q2
common /LQGKinV/ S,Srad,x,y,z,Q2
C# LQGout.inc #
double precision DXSEC(3),pvalence
integer q_o,q_s,genproc,genprtyp,sch,uch,gproc(8)
common /LQGout/ DXSEC,pvalence,q_o,q_s,genproc,genprtyp,
>sch,uch,gproc
double precision DSIGMADXDY(4)
double precision rand(1),sfrac1,sfrac2,ufrac1,ufrac2
double precision pvalences_u,pvalences_d,pvalenceu_u,pvalenceu_d
*
cc--------------------------------------------------------
C...Leptoquark types ranges from 1 to 14.
C
C 1->S_0 LEFT
C 2->S_0 RIGHT
C 3->~S_0 RIGHT
C 4->S_1 LEFT
C 5->V_1/2 LEFT
C 6->V_1/2 RIGHT
C 7->~V_1/2 LEFT
C 8->V_0 LEFT
C 9->V_0 RIGHT
C 10->~V_0 RIGHT
C 11->V_1 LEFT
C 12->S_1/2 LEFT
C 13->S_1/2 RIGHT
C 14->~S_1/2 LEFT
C
C DSIGMADXDY(4) - Double differential cross section
C DSIGMADXDY(1) = Standard Model term (SM processes)
C DSIGMADXDY(2) = Interference term between SM and LQ
C DSIGMADXDY(3) = LQ term - u channel
C DSIGMADXDY(4) = LQ term - s channel
C ========================================================================
C INPUT PARAMETERS:
C X - standard DIS x variable
C Y - standard DIS y variable
C S - Center of mass energy
C MLQ - Leptoquark mass
C G1 - initial state coupling
C G2 - final state coupling
C l_o - generation of the outcoming lepton
C echar - charge of the incoming lepton
C q_i - generation of initial state quark
C q_j - generation of the final state quark
C LQTYPE - Leptoquark type (see table above)
C
C OUTPUT PARAMETERS:
C DXSEC = double differential cross section (pb):
C DXSEC(1)= LQ-SM interference term
C DXSEC(2)= LQ term - u channel
C DXSEC(3)= LQ term - s channel
C q_o = output quark (from LQ decay):
C 1 down -1 antidown
C 2 up -2 antiup
C 3 strange -3 antistrange
C 4 charm -4 anticharm
C 5 bottom -5 antibottom
C 6 top -6 antitop
C
C----------------------------------------------------------
double precision pyr
double precision C_R_P,C_L_P,C_R_E,C_L_E
& ,C_R_U,C_L_U,C_R_D,C_L_D
& ,B_RR_U,B_RL_U
& ,B_LR_U,B_LL_U
& ,B_RR_D,B_RL_D
& ,B_LR_D,B_LL_D
double precision CCCf2u,DDDf2u,EEEf2u,FFFf2u,
& CCCf2d,DDDf2d,EEEf2d,FFFf2d
double precision CCCf0u,DDDf0u,EEEf0u,FFFf0u,
& CCCf0d,DDDf0d,EEEf0d,FFFf0d
double precision CCCv2u,DDDv2u,EEEv2u,FFFv2u,
& CCCv2d,DDDv2d,EEEv2d,FFFv2d
double precision CCCv0u,DDDv0u,EEEv0u,FFFv0u,
& CCCv0d,DDDv0d,EEEv0d,FFFv0d
double precision weakmix,Mz2,Gz2,Gf,alpha,A,P,pi
parameter (weakmix=0.2315, Mz2=(91.187)**2,Gz2=(2.490)**2)
parameter (Gf=0.0000116639,alpha=1.0/137.036, A=27.5, P=820.0)
parameter (pi=3.141592653589793d0)
double precision UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GL
double precision UPQs(3),DNQs(3),UPQBs(3),DNQBs(3)
double precision UPQu(3),DNQu(3),UPQBu(3),DNQBu(3)
double precision scales,scaleu,LambdaL2,LambdaR2,Ms2
& ,aaa,bbb,ggg
& ,LambdaL2_1,LambdaL2_2
& ,LambdaR2_1,LambdaR2_2
& ,GAM
c......LH 0, RH 1
integer LRindex(14)
data LRindex/0,1,1,0,0,1,0,0,1,1,0,0,1,0/
integer SVindex(14)
data SVindex/1,1,1,1,2,2,2,3,3,3,3,4,4,4/
* protection
if(y.eq.1)y=1.d0-1.d-13
*
DSIGMADXDY(1)=0.d0
DSIGMADXDY(2)=0.d0
DSIGMADXDY(3)=0.d0
DSIGMADXDY(4)=0.d0
q_o=0
pvalence=0.
pvalences_u=0.
pvalenceu_u=0.
pvalences_d=0.
pvalenceu_d=0.
*
C_R_P = weakmix
C_L_P = -0.5+weakmix
C_R_U = -2.0*weakmix/3.0
C_L_U = 0.5-2.0*weakmix/3.0
C_R_D = weakmix/3.0
C_L_D = -0.5+weakmix/3.0
C_R_E = weakmix
C_L_E = -0.5+weakmix
Ms2=(MLQ)**2
Q2=Srad*X*Y
if(Q2.lt.Q2min)goto 999
* u channel densities
scaleu=sqrt(Srad*X*(1.-Y))
CALL STRUCTM(X,scaleu,UPV
& ,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GL)
if(UPV+USEA.gt.0)
& pvalenceu_u=UPV/(UPV+USEA)
if(DNV+DSEA.gt.0)
& pvalenceu_d=DNV/(DNV+DSEA)
if(echar.eq.1)then
* case e+, mu+, tau+
UPQu(1)=UPV+USEA
UPQBu(1)=USEA
UPQu(2)=CHM
UPQBu(2)=CHM
UPQu(3)=TOP
UPQBu(3)=TOP
DNQu(1)=DNV+DSEA
DNQBu(1)=DSEA
DNQu(2)=STR
DNQBu(2)=STR
DNQu(3)=BOT
DNQBu(3)=BOT
elseif(echar.eq.-1)then
* case e-, mu-, tau-
UPQu(1)=USEA
UPQBu(1)=UPV+USEA
UPQu(2)=CHM
UPQBu(2)=CHM
UPQu(3)=TOP
UPQBu(3)=TOP
DNQu(1)=DSEA
DNQBu(1)=DNV+DSEA
DNQu(2)=STR
DNQBu(2)=STR
DNQu(3)=BOT
DNQBu(3)=BOT
endif
* s channel densities
scales=sqrt(Srad*X)
CALL STRUCTM(X,scales,UPV
& ,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GL)
if(UPV+USEA.gt.0)
& pvalences_u=UPV/(UPV+USEA)
if(DNV+DSEA.gt.0)
& pvalences_d=DNV/(DNV+DSEA)
if(echar.eq.1)then
* case e+, mu+, tau+
UPQs(1)=UPV+USEA
UPQBs(1)=USEA
UPQs(2)=CHM
UPQBs(2)=CHM
UPQs(3)=TOP
UPQBs(3)=TOP
DNQs(1)=DNV+DSEA
DNQBs(1)=DSEA
DNQs(2)=STR
DNQBs(2)=STR
DNQs(3)=BOT
DNQBs(3)=BOT
elseif(echar.eq.-1)then
* case e-, mu-, tau-
UPQs(1)=USEA
UPQBs(1)=UPV+USEA
UPQs(2)=CHM
UPQBs(2)=CHM
UPQs(3)=TOP
UPQBs(3)=TOP
DNQs(1)=DSEA
DNQBs(1)=DNV+DSEA
DNQs(2)=STR
DNQBs(2)=STR
DNQs(3)=BOT
DNQBs(3)=BOT
endif
*
aaa = Q2*(Q2+Mz2)/((Q2+Mz2)**2+Mz2*Gz2)
bbb = sqrt(2.0)*Gf*Mz2/(pi*alpha)
B_RR_U = -2./3. + aaa*bbb*C_R_P*C_R_U
B_RL_U = -2./3. + aaa*bbb*C_R_P*C_L_U
B_LR_U = -2./3. + aaa*bbb*C_L_P*C_R_U
B_LL_U = -2./3. + aaa*bbb*C_L_P*C_L_U
B_RR_D = 1./3. + aaa*bbb*C_R_P*C_R_D
B_RL_D = 1./3. + aaa*bbb*C_R_P*C_L_D
B_LR_D = 1./3. + aaa*bbb*C_L_P*C_R_D
B_LL_D = 1./3. + aaa*bbb*C_L_P*C_L_D
IF (SVindex(LQTYPE).EQ.1) THEN
CCCf2u=Q2*(1.-Y)**2*(UPV+USEA)
& /(4.0*pi*alpha)
DDDf2u=Q2*USEA/(4.0*pi*alpha)
EEEf2u=(Q2-X*Srad)**2*Y**2*(UPQu(q_j))
& /(64.0*(pi*alpha)**2)
FFFf2u=Q2**2*UPQBs(q_i)/(64.0*(pi*alpha)**2)
CCCf2d=Q2*(1.-Y)**2*(DNV+DSEA)
& /(4.0*pi*alpha)
DDDf2d=Q2*DSEA/(4.0*pi*alpha)
EEEf2d=(Q2-X*Srad)**2*Y**2*(DNQu(q_j))
& /(64.0*(pi*alpha)**2)
FFFf2d=Q2**2*DNQBs(q_i)/(64.0*(pi*alpha)**2)
ELSE IF (SVindex(LQTYPE).EQ.4) THEN
CCCf0u=Q2*(1.-Y)**2*USEA/(4.0*pi*alpha)
DDDf0u=Q2*(UPV+USEA)/(4.0*pi*alpha)
EEEf0u=(Q2-X*Srad)**2*Y**2*UPQBu(q_j)
& /(64.0*(pi*alpha)**2)
FFFf0u=Q2**2*(UPQs(q_i))/(64.0*(pi*alpha)**2)
CCCf0d=Q2*(1.-Y)**2*DSEA/(4.0*pi*alpha)
DDDf0d=Q2*(DNV+DSEA)/(4.0*pi*alpha)
EEEf0d=(Q2-X*Srad)**2*Y**2*DNQBu(q_j)
& /(64.0*(pi*alpha)**2)
FFFf0d=Q2**2*(DNQs(q_i))/(64.0*(pi*alpha)**2)
ELSE IF (SVindex(LQTYPE).EQ.2) THEN
CCCv2u=Q2*(1.-Y)**2*USEA/(2.0*pi*alpha)
DDDv2u=Q2*(UPV+USEA)/(2.0*pi*alpha)
EEEv2u=Q2**2*UPQBs(q_i)/(16.0*(pi*alpha)**2)
FFFv2u=(Q2-X*Srad)**2*Y**2*(UPQu(q_j))
& /(16.0*(pi*alpha)**2*(1.0-Y)**2)
CCCv2d=Q2*(1.-Y)**2*DSEA/(2.0*pi*alpha)
DDDv2d=Q2*(DNV+DSEA)/(2.0*pi*alpha)
EEEv2d=Q2**2*DNQBs(q_i)/(16.0*(pi*alpha)**2)
FFFv2d=(Q2-X*Srad)**2*Y**2*(DNQu(q_j))
& /(16.0*(pi*alpha)**2*(1.0-Y)**2)
ELSE IF (SVindex(LQTYPE).EQ.3) THEN
CCCv0u=Q2*(1.-Y)**2*(UPV+USEA)
& /(2.0*pi*alpha)
DDDv0u=Q2*USEA/(2.0*pi*alpha)
EEEv0u=Q2**2*(UPQs(q_i))/(16.0*(pi*alpha)**2)
FFFv0u=(Q2-X*Srad)**2*Y**2*UPQBu(q_j)
& /(16.0*(pi*alpha)**2*(1.0-Y)**2)
CCCv0d=Q2*(1.-Y)**2*(DNV+DSEA)
& /(2.0*pi*alpha)
DDDv0d=Q2*DSEA/(2.0*pi*alpha)
EEEv0d=Q2**2*(DNQs(q_i))/(16.0*(pi*alpha)**2)
FFFv0d=(Q2-X*Srad)**2*Y**2*DNQBu(q_j)
& /(16.0*(pi*alpha)**2*(1.0-Y)**2)
ENDIF
DSIGMADXDY(1)=(B_RL_U**2+B_LR_U**2+
& (B_RR_U**2+B_LL_U**2)*(1.-Y)**2)
& *(UPV+USEA+CHM+TOP)+
& (B_RL_D**2+B_LR_D**2+
& (B_RR_D**2+B_LL_D**2)*(1.-Y)**2)
& *(DNV+DSEA+STR+BOT)+
& (B_RR_U**2+B_LL_U**2+
& (B_RL_U**2+B_LR_U**2)*(1.-Y)**2)
& *(USEA+CHM+TOP) +
& (B_RR_D**2+B_LL_D**2+
& (B_RL_D**2+B_LR_D**2)*(1.-Y)**2)
& *(DSEA+STR+BOT)
IF (LRindex(LQTYPE).EQ.0) THEN
LambdaL2_1=G1
LambdaL2_2=G2
if(G2.ne.0)then
LambdaL2=LambdaL2_1*LambdaL2_2
else
LambdaL2=G1*G1
endif
LambdaR2_1=0.0
LambdaR2_2=0.0
LambdaR2=LambdaR2_1*LambdaR2_2
ELSE IF (LRindex(LQTYPE).EQ.1) THEN
LambdaR2_1=G1
LambdaR2_2=G2
if(G2.ne.0)then
LambdaR2=LambdaR2_1*LambdaR2_2
else
LambdaR2=G1*G1
endif
LambdaL2_1=0.0
LambdaL2_2=0.0
LambdaL2=LambdaL2_1*LambdaL2_2
ENDIF
IF (LQTYPE.EQ.1.or.LQTYPE.EQ.2) THEN
GAM=MLQ*(sqrt(2.0)*LambdaL2_1+LambdaR2_1)**2
if(l_o.gt.1)GAM=GAM+
& MLQ*(sqrt(2.0)*LambdaL2_2+LambdaR2_2)**2
AAA=(X*Srad-Ms2)**2+
& Ms2*GAM**2/((16.0*pi)**2)
BBB=LambdaR2*B_RR_U+LambdaL2*B_LL_U
DSIGMADXDY(2)=BBB*CCCf2u/(Q2-X*Srad-Ms2)+
& BBB*DDDf2u*(X*Srad-Ms2)/AAA
GGG=(LambdaR2+LambdaL2)**2
if(q_i.ne.3)then
DSIGMADXDY(3)=EEEf2u*GGG/(Q2-X*Srad-Ms2)**2
else
* Top quark in the final state
DSIGMADXDY(3)=0.d0
endif
if(q_j.ne.3)then
DSIGMADXDY(4)=FFFf2u*GGG/AAA
else
* Top quark in the final state
DSIGMADXDY(4)=0.d0
endif
* output quark