c------------------------------------------------------------------------ function ffsigiut(xx1,xx2,jpp,je1,je2) c------------------------------------------------------------------------ c c \int(dt) \int(du) ffsig *s/sh**3 *2*pi*alpha**2 *delta(uh+th+sh) c c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) include 'epos.incsem' include 'epos.inc' double precision tmin,tmax,t,sh2,sqrtq2s ig=3 s=engy**2 sh=s*xx1*xx2 ffsigiut=0. if(sh.le.4.*q2min)return sh2=dble(sh/2.) c tmin=sh/2-sqrt(sh*sh/4-q2min*sh) sqrtq2s=sqrt(dble(q2min*sh)) tmin=sh2-sqrt((sh2-sqrtq2s)*(sh2+sqrtq2s)) tmax=sh2 do i=1,ig do m=1,2 t=2d0*tmin/(1d0+tmin/tmax-dble(tgss(ig,i)*(2*m-3)) & *(1d0-tmin/tmax)) qq=sngl(t*(1d0-t/dble(sh))) ft=ffsigj(sngl(t),qq,xx1,xx2,jpp,je1,je2)/sh**3 * * (2*pi*pssalf(qq/qcdlam))**2 ffsigiut=ffsigiut+wgss(ig,i)*ft*sngl(t)**2 enddo enddo ffsigiut=ffsigiut * *0.5*sngl(1d0/tmin-1d0/tmax) * *2*pi*s * /2 !CS for parton pair return end c----------------------------------------------------------------------- function ffsigj(t,qt,x1,x2,jpp,je1,je2) c----------------------------------------------------------------------- c c \sum x1*f_i(x1,qt) * x2*f_k(x2,qt) * B_ik c c B_ik = psbori = contribution to Born xsection: c dsigmaBorn/d2pt/dy c = s/pi * delta(s+t+u) * 2*pi*alpha**2 /s**2 * B_ik c c qt = virtuality scale c x1, x2 = light cone momentum fractions c c x*f_j(x,qt) = function fparton(x,qt,j) c c----------------------------------------------------------------------- c jpp: type of Pomeron c 1 ... sea-sea c 2 ... val-sea c 3 ... sea-val c 4 ... val-val c 5 ... all c je = emission type c 0 ... no emissions c 1 ... emissions c 2 ... all c----------------------------------------------------------------------- include 'epos.incsem' include 'epos.inc' s=engy**2*x1*x2 if(jpp.ne.5)then ji1=mod(jpp+1,2)+1 ji2=(jpp+1)/2 sea1=pifpartone(x1,qt,-1,je1,ji1) g1= pifpartone(x1,qt, 0,je1,ji1) uv1= pifpartone(x1,qt, 1,je1,ji1) dv1= pifpartone(x1,qt, 2,je1,ji1) sea2=pifpartone(x2,qt,-1,je2,ji2) g2= pifpartone(x2,qt, 0,je2,ji2) uv2= pifpartone(x2,qt, 1,je2,ji2) dv2= pifpartone(x2,qt, 2,je2,ji2) else sea1=pifpartone(x1,qt,-1,je1,1)+pifpartone(x1,qt,-1,je1,2) g1= pifpartone(x1,qt, 0,je1,1)+pifpartone(x1,qt, 0,je1,2) uv1= pifpartone(x1,qt, 1,je1,1)+pifpartone(x1,qt, 1,je1,2) dv1= pifpartone(x1,qt, 2,je1,1)+pifpartone(x1,qt, 2,je1,2) sea2=pifpartone(x2,qt,-1,je2,1)+pifpartone(x2,qt,-1,je2,2) g2= pifpartone(x2,qt, 0,je2,1)+pifpartone(x2,qt, 0,je2,2) uv2= pifpartone(x2,qt, 1,je2,1)+pifpartone(x2,qt, 1,je2,2) dv2= pifpartone(x2,qt, 2,je2,1)+pifpartone(x2,qt, 2,je2,2) endif ffsigj= ffborn(s,t, g1*g2 !gg * ,(uv1+dv1+2.*naflav*sea1)*g2+g1*(uv2+dv2+2.*naflav*sea2) !gq * ,(uv1+sea1)*(uv2+sea2) !qq * +(dv1+sea1)*(dv2+sea2)+sea1*sea2*(naflav-1)*2. * ,(uv1+sea1)*sea2+(uv2+sea2)*sea1 !qa * +(dv1+sea1)*sea2+(dv2+sea2)*sea1+sea1*sea2*(naflav-2)*2. * ,dv1*uv2+dv2*uv1+(uv2+dv2)*sea1*(naflav-1)*2. !qqp * +(uv1+dv1)*sea2*(naflav-1)*2. * +sea1*sea2*naflav*(naflav-1)*4. *) end c----------------------------------------------------------------------- function ffsig(t,qt,x1,x2) !former psjy c----------------------------------------------------------------------- include 'epos.incsem' include 'epos.inc' s=engy**2*x1*x2 g1= pifpartone(x1,qt, 0,2,1)+pifpartone(x1,qt, 0,2,2) uv1= pifpartone(x1,qt, 1,2,1)+pifpartone(x1,qt, 1,2,2) dv1= pifpartone(x1,qt, 2,2,1)+pifpartone(x1,qt, 2,2,2) sea1=pifpartone(x1,qt,-1,2,1)+pifpartone(x1,qt,-1,2,2) g2= pifpartone(x2,qt, 0,2,1)+pifpartone(x2,qt, 0,2,2) uv2= pifpartone(x2,qt, 1,2,1)+pifpartone(x2,qt, 1,2,2) dv2= pifpartone(x2,qt, 2,2,1)+pifpartone(x2,qt, 2,2,2) sea2=pifpartone(x2,qt,-1,2,1)+pifpartone(x2,qt,-1,2,2) ffsig= ffborn(s,t, g1*g2 !gg * ,(uv1+dv1+2.*naflav*sea1)*g2+g1*(uv2+dv2+2.*naflav*sea2) !gq * ,(uv1+sea1)*(uv2+sea2) !qq * +(dv1+sea1)*(dv2+sea2)+sea1*sea2*(naflav-1)*2. * ,(uv1+sea1)*sea2+(uv2+sea2)*sea1 !qa * +(dv1+sea1)*sea2+(dv2+sea2)*sea1+sea1*sea2*(naflav-2)*2. * ,dv1*uv2+dv2*uv1+(uv2+dv2)*sea1*(naflav-1)*2. !qqp * +(uv1+dv1)*sea2*(naflav-1)*2. * +sea1*sea2*naflav*(naflav-1)*4. *) end c------------------------------------------------------------------------ function ffborn(s,t,gg,gq,qq,qa,qqp) c------------------------------------------------------------------------ ffborn= *( psbori(s,t,0,0,1)+psbori(s,s-t,0,0,1) * +psbori(s,t,0,0,2)+psbori(s,s-t,0,0,2)) /2. *gg !gg *+(psbori(s,t,0,1,1)+psbori(s,s-t,0,1,1)) *gq !gq *+(psbori(s,t,1,1,1)+psbori(s,s-t,1,1,1))/2. *qq !qq *+(psbori(s,t,1,-1,1)+psbori(s,s-t,1,-1,1)+psbori(s,t,1,-1,2)+ * psbori(s,s-t,1,-1,2)+psbori(s,t,1,-1,3)+psbori(s,s-t,1,-1,3)) !qa * *qa *+(psbori(s,t,1,2,1)+psbori(s,s-t,1,2,1)) *qqp !qq' end c----------------------------------------------------------------------- function pifpartone(xx,qq,j,je,ji) ! pol interpolation of partone c----------------------------------------------------------------------- include 'epos.incsem' include 'epos.inc' common/tabfptn/kxxmax,kqqmax,fptn(20,20,-1:2,0:2,2) real wi(3),wj(3) common /cpifpartone/npifpartone data npifpartone /0/ npifpartone=npifpartone+1 if(npifpartone.eq.1)call MakeFpartonTable qqmax=engy**2/4. xxmin=0.01/engy xxmax=1 xxk=1.+log(xx/xxmin)/log(xxmax/xxmin)*(kxxmax-1) qqk=1.+log(qq/q2min)/log(qqmax/q2min)*(kqqmax-1) kxx=int(xxk) kqq=int(qqk) if(kxx.lt.1)kxx=1 if(kqq.lt.1)kqq=1 if(kxx.gt.(kxxmax-2))kxx=kxxmax-2 if(kqq.gt.(kqqmax-2))kqq=kqqmax-2 wi(2)=xxk-kxx wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) wj(2)=qqk-kqq wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) pifpartone=0 do kx=1,3 do kq=1,3 pifpartone=pifpartone+fptn(kxx+kx-1,kqq+kq-1,j,je,ji) * *wi(kx)*wj(kq) enddo enddo end c----------------------------------------------------------------------- subroutine MakeFpartonTable c----------------------------------------------------------------------- include 'epos.incsem' include 'epos.inc' common/tabfptn/kxxmax,kqqmax,fptn(20,20,-1:2,0:2,2) write (*,'(a,$)')'(Fparton table' kxxmax=10 kqqmax=10 qqmax=engy**2/4. xxmin=0.01/engy xxmax=1 do ji=1,2 do je=0,2 write(*,'(a,$)')'.' do j=-1,2 do kxx=1,kxxmax xx=xxmin*(xxmax/xxmin)**((kxx-1.)/(kxxmax-1.)) do kqq=1,kqqmax qq=q2min*(qqmax/q2min)**((kqq-1.)/(kqqmax-1.)) fptn(kxx,kqq,j,je,ji)= fpartone(xx,qq,j,je,ji) enddo enddo enddo enddo enddo write (*,'(a,$)')'done)' end c------------------------------------------------------------------------ function fpartone(xx,qq,j,je,ji) !former pspdf0 (sha) c----------------------------------------------------------------------- c c parton distribution function for proton ( actually x*f(x) !!!!!!! ) c c xx = light cone momentum fraction c qq = virtuality scale c j = parton type c -1 ... sea (distribution function per flavor) c 0 ... g c 1 ... u c 2 ... d c je = emission type c 0 ... no emissions c 1 ... emissions c 2 ... all c ji = initial parton type c 1 ... sea (q et g) c 2 ... val c----------------------------------------------------------------------- double precision z,xmin,xm,zx,psuds common/ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' fpartone=0 if(je.eq.1)goto888 c ...... f_0 * sudakov......... if(j.eq.0.and.ji.eq.1)then fpartone=fzeroGlu(xx,2,1) !hadron class 2, projectile side elseif((j.eq.1.or.j.eq.2).and.ji.eq.2)then fpartone=psdfh4(xx,q2min,0.,2,j) elseif(j.eq.-1.and.ji.eq.1)then fpartone=fzeroSea(xx,2,1) endif fpartone=fpartone*sngl(psuds(qq,j)/psuds(q2min,j)) if(je.eq.0)goto999 c......... integral f_0 E_qcd............ 888 continue xmin=dble(xx)/(1.d0-dble(q2ini/qq)) if(xmin.lt.1.d0)then dpd1=0. dpd2=0. xm=max(xmin,0.3d0) !numerical integration xm -> 1 do i=1,7 do m=1,2 zx=1.d0-(1.d0-xm)*(.5d0+(dble(m)-1.5d0)*dble(x1(i)))**.25d0 z=xx/zx gl=fzeroGlu(sngl(zx),2,1) uv=psdfh4(sngl(zx),q2min,0.,2,1) dv=psdfh4(sngl(zx),q2min,0.,2,2) sea=fzeroSea(sngl(zx),2,1) fz=0 if(j.eq.0)then if(ji.eq.1) * fz=gl *psevi(q2min,qq,z,1,1) * +sea*psevi(q2min,qq,z,2,1) !ccccc if(ji.eq.2) * fz=(uv+dv)*psevi(q2min,qq,z,2,1) elseif(j.eq.1.and.ji.eq.2)then fz=psevi(q2min,qq,z,3,2)*uv elseif(j.eq.2.and.ji.eq.2)then fz=psevi(q2min,qq,z,3,2)*dv elseif(j.eq.-1)then akns=psevi(q2min,qq,z,3,2) !nonsinglet contribution aks=(psevi(q2min,qq,z,2,2)-akns) !singlet contribution if(ji.eq.1) * fz=psevi(q2min,qq,z,1,2)*gl * +sea*aks+sea*akns !ccccc if(ji.eq.2) * fz=(uv+dv)*aks endif dpd1=dpd1+a1(i)*fz/sngl(zx)**2/sngl(1.d0-zx)**3 enddo enddo dpd1=dpd1*sngl(1.d0-xm)**4/8.*xx !numerical integration xmin -> xm if(xm.gt.xmin)then do i=1,7 do m=1,2 zx=xx+(xm-xx) & *((xmin-xx)/(xm-xx))**(.5d0-(dble(m)-1.5d0)*dble(x1(i))) z=xx/zx gl=fzeroGlu(sngl(zx),2,1) uv=psdfh4(sngl(zx),q2min,0.,2,1) dv=psdfh4(sngl(zx),q2min,0.,2,2) sea=fzeroSea(sngl(zx),2,1) fz=0 if(j.eq.0)then if(ji.eq.1) * fz=gl *psevi(q2min,qq,z,1,1) * +sea*psevi(q2min,qq,z,2,1) !ccccc if(ji.eq.2) * fz=(uv+dv)*psevi(q2min,qq,z,2,1) elseif(j.eq.1.and.ji.eq.2)then fz=psevi(q2min,qq,z,3,2)*uv elseif(j.eq.2.and.ji.eq.2)then fz=psevi(q2min,qq,z,3,2)*dv elseif(j.eq.-1)then akns=psevi(q2min,qq,z,3,2) !nonsinglet contribution aks=(psevi(q2min,qq,z,2,2)-akns) !singlet contribution if(ji.eq.1) * fz=psevi(q2min,qq,z,1,2)*gl * +sea*aks+sea*akns !ccccc if(ji.eq.2) * fz=(uv+dv)*aks endif dpd2=dpd2+a1(i)*fz*sngl((1.d0-xx/zx)/zx) enddo enddo dpd2=dpd2*sngl(log((xm-xx)/(xmin-xx))*.5d0*xx) endif fpartone=fpartone+dpd2+dpd1 endif 999 continue if(j.lt.0)fpartone=fpartone/naflav/2. return end c------------------------------------------------------------------------ function fparton(xx,qq,j) !former pspdf0 (sha) c----------------------------------------------------------------------- c c parton distribution function for proton ( actually x*f(x) !!!!!!! ) c c xx = light cone momentum fraction c qq = virtuality scale c j = parton type c -1 ... sea (dsistribution fuction per flavor) c 0 ... g c 1 ... u c 2 ... d c c----------------------------------------------------------------------- c (see pages 105 - 107 of our report) c c fparton(xx) = xx * f(xx) !!!!! c c f_j(xx,qq) = \sum_k \int(xx 1 do i=1,7 do m=1,2 zx=1.d0-(1.d0-xm)*(.5d0+(dble(m)-1.5d0)*dble(x1(i)))**.25d0 z=xx/zx gl=fzeroGlu(sngl(zx),2,1) uv=psdfh4(sngl(zx),q2min,0.,2,1) dv=psdfh4(sngl(zx),q2min,0.,2,2) sea=fzeroSea(sngl(zx),2,1) if(j.eq.0)then fz=psevi(q2min,qq,z,1,1)*gl * +(uv+dv+sea)*psevi(q2min,qq,z,2,1) elseif(j.eq.1)then fz=psevi(q2min,qq,z,3,2)*uv elseif(j.eq.2)then fz=psevi(q2min,qq,z,3,2)*dv else akns=psevi(q2min,qq,z,3,2) !nonsinglet contribution aks=(psevi(q2min,qq,z,2,2)-akns) !singlet contribution fz=(psevi(q2min,qq,z,1,2)*gl+(uv+dv+sea)*aks+sea*akns) endif dpd1=dpd1+a1(i)*fz/sngl(zx)**2/sngl(1.d0-zx)**3 enddo enddo dpd1=dpd1*sngl((1.d0-xm)**4/8.*xx) !numerical integration xmin -> xm if(xm.gt.xmin)then do i=1,7 do m=1,2 zx=xx+(xm-xx)*((xmin-xx)/(xm-xx)) * **(.5d0-(dble(m)-1.5)*dble(x1(i))) z=xx/zx gl=fzeroGlu(sngl(zx),2,1) uv=psdfh4(sngl(zx),q2min,0.,2,1) dv=psdfh4(sngl(zx),q2min,0.,2,2) sea=fzeroSea(sngl(zx),2,1) if(j.eq.0)then fz=psevi(q2min,qq,z,1,1)*gl+(uv+dv+sea)* * psevi(q2min,qq,z,2,1) elseif(j.eq.1)then fz=psevi(q2min,qq,z,3,2)*uv elseif(j.eq.2)then fz=psevi(q2min,qq,z,3,2)*dv else akns=psevi(q2min,qq,z,3,2) !nonsinglet contribution aks=(psevi(q2min,qq,z,2,2)-akns) !singlet contribution fz=(psevi(q2min,qq,z,1,2)*gl+(uv+dv+sea)*aks+sea*akns) endif dpd2=dpd2+a1(i)*fz*sngl((1.d0-xx/zx)/zx) enddo enddo dpd2=dpd2*sngl(log((xm-xx)/(xmin-xx))*.5d0*xx) endif fparton=fparton+dpd2+dpd1 endif if(j.lt.0)fparton=fparton/naflav/2. return end c------------------------------------------------------------------------ function fzeroGlu(z,k,ipt) c----------------------------------------------------------------------- c c x*f(x) c c f = F & EsoftGluon &=convolution c c F(x) = alpff(k)*x**betff(ipt)*(1-x)**alplea(k) c c EsoftGluon(x) = x**(-1-dels) * EsoftGluonTil(x) c c z - light cone x c k - hadron class c ipt - 1=proj 2=targ c----------------------------------------------------------------------- double precision xpmin,xp include 'epos.inc' common /ar3/ x1(7),a1(7) include 'epos.incsem' fzeroGlu=0. xpmin=z xpmin=xpmin**(1+betff(ipt)+dels) do i=1,7 do m=1,2 xp=(.5*(1.+xpmin+(2*m-3)*x1(i)*(1.-xpmin)))**(1./ * (1+betff(ipt)+dels)) zz=z/xp fzeroGlu=fzeroGlu+a1(i)*(1.-xp)**alplea(k)*EsoftGluonTil(zz) enddo enddo fzeroGlu=fzeroGlu*.5*(1.-xpmin)/(1+betff(ipt)+dels) fzeroGlu=fzeroGlu *alpff(k) *z**(-dels) end c------------------------------------------------------------------------ function fzeroSea(z,k,ipt) c----------------------------------------------------------------------- c c x*f(x) c c f = F & EsoftQuark &=convolution c c F(x) = alpff(k)*x**betff(ipt)*(1-x)**alplea(k) c c EsoftQuark(x) = x**(-1-dels) * EsoftQuarkTil(x) c c z - light cone x of the quark, c k - hadron class c----------------------------------------------------------------------- double precision xpmin,xp common /ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' fzeroSea=0. xpmin=z xpmin=xpmin**(1+betff(ipt)+dels) do i=1,7 do m=1,2 xp=(.5*(1.+xpmin+(2*m-3)*x1(i)*(1.-xpmin)))**(1./ * (1+betff(ipt)+dels)) zz=z/xp fzeroSea=fzeroSea+a1(i)*(1.-xp)**alplea(k)*EsoftQuarkTil(zz) enddo enddo fzeroSea=fzeroSea*.5*(1.-xpmin)/(1+betff(ipt)+dels) fzeroSea=fzeroSea *alpff(k) *z**(-dels) end c------------------------------------------------------------------------ function EsoftGluonTil(zz) c----------------------------------------------------------------------- c EsoftGluon = zz^(-1-dels) * EsoftGluonTil c----------------------------------------------------------------------- include 'epos.inc' include 'epos.incsem' EsoftGluonTil=gamsoft*(1-glusea)*(1.-zz)**betpom end c------------------------------------------------------------------------ function EsoftQuarkTil(zz) c----------------------------------------------------------------------- c EsoftQuark = zz^(-1-dels) * EsoftQuarkTil c----------------------------------------------------------------------- double precision zmin,z common /ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' EsoftQuarkTil=0. zmin=zz zmin=zmin**(1.+dels) do i=1,7 do m=1,2 z=(.5d0*(1.+zmin+(2*m-3)*x1(i)*(1.d0-zmin))) * **(1.d0/(1.d0+dels)) EsoftQuarkTil=EsoftQuarkTil+a1(i)*max(1.d-5,(1.d0-zz/z))**betpom * *(z**2+(1.-z)**2) enddo enddo EsoftQuarkTil=EsoftQuarkTil*1.5*(1.d0-zmin)/(1.+dels) !1.5=naflav/2 at Q0 EsoftQuarkTil=gamsoft*glusea*EsoftQuarkTil end c------------------------------------------------------------------------ function EsoftQZero(zz) ! former psftilf c----------------------------------------------------------------------- c c EsoftQuark = EsoftQZero * wsplit * z^(-1-dels) * gamsoft c c zz - ratio of the quark and pomeron light cone x (zz=x_G/x_P) c integration over quark to gluon light cone momentum ratio (z=x/x_G): c c EsoftQZero = int(dz) z^dels * (1-zz/z)^betpom * P_qG(z) c c----------------------------------------------------------------------- double precision zmin,z common /ar3/ x1(7),a1(7) include 'epos.incsem' EsoftQZero=0. zmin=zz zmin=zmin**(1.+dels) do i=1,7 do m=1,2 z=(.5d0*(1.+zmin+(2*m-3)*x1(i)*(1.d0-zmin))) * **(1.d0/(1.d0+dels)) EsoftQZero=EsoftQZero+a1(i)*max(1.d-5,(1.d0-zz/z))**betpom * *(z**2+(1.-z)**2) enddo enddo EsoftQZero=EsoftQZero*1.5*(1.d0-zmin)/(1.+dels) !1.5=naflav/2 at Q0 return end c------------------------------------------------------------------------ function ffsigi(qq,y0) !former psjx1 (sto) c------------------------------------------------------------------------ c c dsigma/dpt_jet = \int dy \int dx1 ffsig(x1,x2(x1)) c c x1=xplus, x2=xminus c x2=x2(x1) due to u+t+s=0 c ( s=x1*x2*spp, t/spp=-x1*xt*exp(-y)/2, u/spp=-x2*xt*exp(y)/2 ) c c qq = pt**2, xt=2.*sqrt(qq/s) c rapidity range: 0 to y0 c c ffsig = function ffsig(t,qq,x1,x2) c c----------------------------------------------------------------------- include 'epos.incsem' include 'epos.inc' double precision xx1,xx2,xt,ymax,ymin,y,xmin,xmax ig=3 ig1=3 s=engy**2 ffsigi=0. if(s.le.4.*qq)return if(qq.lt.q2min)return xt=2d0*sqrt(dble(qq)/dble(s)) ymax=min(dble(y0),log(1d0/xt+sqrt((1d0/xt-1d0)*(1d0/xt+1d0)))) ymin=-ymax !final result must be divided by 2 do i=1,ig do m=1,2 y=.5d0*(ymax+ymin+(ymin-ymax)*dble((2*m-3)*tgss(ig,i))) !for xx1-integration, use variable x=xx1-xt*exp(y)/2.,with xmin sqrt(s)/2 is automatically included, ! see psbori return end c------------------------------------------------------------------------ function psbori(s,t,j,l,n) c----------------------------------------------------------------------- c contribution to the born cross-section: c c dsigmaBorn/d2pt/dy = s/pi * delta(s+t+u) * 2*pi*alpha**2 /s**2 *psbori c c s - c.m. energy squared for the born scattering, c t - invariant variable for the born scattering |(p1-p3)**2|, c j - parton type at current end of the ladder (0 - g, 1,-1,2,... - q) c l - parton type at opposite end of the ladder (0 - g, 1,-1,2,... - q) c n - subprocess number c----------------------------------------------------------------------- include 'epos.incsem' psbori=0. u=s-t if(u.le.0.d0)return if(iabs(j).ne.4)then !light quarks and gluons if(n.eq.1)then if(j.eq.0.and.l.eq.0)then !gg->gg psbori=(3.-t*u/s**2+s*u/t**2+s*t/u**2)*4.5 elseif(j*l.eq.0)then !gq->gq psbori=(s**2+u**2)/t**2+(s/u+u/s)/2.25 elseif(j.eq.l)then !qq->qq psbori=((s**2+u**2)/t**2+(s**2+t**2)/u**2)/2.25 * -s**2/t/u/3.375 elseif(j.eq.-l)then !qq~->qq~ psbori=((s**2+u**2)/t**2+(u**2+t**2)/s**2)/2.25 * +u**2/t/s/3.375 else !qq'->qq' psbori=(s**2+u**2)/t**2/2.25 endif elseif(n.eq.2)then if(j.eq.0.and.l.eq.0)then !gg->qq~ psbori=.5*(t/u+u/t)-1.125*(t*t+u*u)/s**2 elseif(j.eq.-l)then !qq~->q'q'~ psbori=(t*t+u*u)/s**2/1.125 else psbori=0. endif elseif(n.eq.3)then if(j.ne.0.and.j.eq.-l)then !qq~->gg psbori=32./27.*(t/u+u/t)-(t*t+u*u)/s**2/.375 else psbori=0. endif c............ n=4 for photon product processes, make e_q**2 =2/9., c the average value of charge squared for all types of quarks. elseif(n.eq.4) then if(j.ne.0.and.j.eq.-l)then !qq~->g+gamma psbori=16*factgam*(u/t+t/u)/81. elseif (j*l.eq.0.and.j+l.ne.0) then !q(q~)g->q(q~)+gamma psbori=2*factgam*(u/s+s/u)/27. else psbori=0. endif elseif(n.eq.5) then if(j.ne.0.and.j.eq.-l)then !qq~->gamma+gamma psbori=4*factgam*(t/u+u/t)/81. else psbori=0. endif endif elseif(n.eq.1)then !c-quark if(l.eq.0)then !cg->cg xm=qcmass**2/s/u psbori=(s**2+u**2)/t**2+(s/u+u/s)/2.25 * -4.*qcmass**2/t+xm*(xm*t**2-t)/.5625+4.*qcmass**2*xm else !cq->cq psbori=(s**2+u**2)/t**2/2.25-qcmass**2/t/1.125 endif else psbori=0. endif return end c----------------------------------------------------------------------- double precision function om51p(sy,xh,yp,b,iqq) c----------------------------------------------------------------------- c om5p - chi~(x,y) c xh - fraction of the energy squared s for the pomeron; c yp - rapidity for the pomeron; c b - impact parameter between the pomeron ends; c iqq =-1 - 0+1+2+3+4, c iqq = 0 - soft pomeron, c iqq = 1 - gg, c iqq = 2 - qg, c iqq = 3 - gq, c iqq = 4 - qq, c iqq = 5 - soft(int)|b, c iqq = 6 - gg(int)|b, c iqq = 7 - soft(proj)|b, c iqq = 8 - gg(proj)|b, c iqq = 9 - qg(proj)|b, c iqq = 10 - total fro-uncut integrated, c iqq = 11 - total uncut integrated, c iqq = 12 - soft(int), c iqq = 13 - gg(int), c iqq = 14 - , c iqq = 15 - , c iqq = 16 - soft(proj-int), c iqq = 17 - gg(proj-int), c iqq = 18 - qg(proj-int), c iqq = 19 - , c iqq = 20 - , c iqq = 21 - c----------------------------------------------------------------------- double precision xh,yp!,coefom1,coefom2 common /psar7/ delx,alam3p,gam3p common /psar37/ coefom1,coefom2 include 'epos.inc' include 'epos.incsem' xp=dsqrt(xh)*exp(yp) if(xh.ne.0.d0)then xm=xh/xp else xm=0. endif rp=r2had(iclpro)+r2had(icltar)+slopom*log(max(1.,sy)) zb=exp(-b**2/(4.*.0389*rp)) rh=r2had(iclpro)+r2had(icltar) if(iqq.eq.0)then !soft c rp=r2hads(iclpro)+r2hads(icltar)+slopoms*log(max(1.,sy)) zb=exp(-b**2/(4.*.0389*rp)) om51p=chad(iclpro)*chad(icltar)*gamhads(iclpro) * *gamhads(icltar)*sy**dels*(xp*xm)**(-alppar)*zb/rp elseif(iqq.le.4)then !gg,qg,gq,qq om51p=psvin(sy,xp,xm,zb,iqq) elseif(iqq.eq.5)then !soft(int)|b c rh=alam3p+slopoms*log(max(1.,sy)) om51p=sy**dels*zb**(rp/rh)/rh elseif(iqq.eq.6)then !gg(int)|b om51p=psvin(sy,xp,xm,zb,14) elseif(iqq.eq.7)then !soft(proj)b c rh=r2hads(iclpro)+.5*alam3p+slopoms*log(max(1.,sy)) om51p=chad(iclpro)*gamhads(iclpro)*sy**dels * *xp**(-alppar)*zb**(rp/rh)/rh elseif(iqq.eq.8)then !gg(proj)b om51p=psvin(sy,xp,xm,zb,16) elseif(iqq.eq.9)then !qg(proj)b om51p=psvin(sy,xp,xm,zb,18) elseif(iqq.eq.10)then !total fro-uncut integrated om51p=0.d0 return elseif(iqq.eq.11)then !total uncut integrated om51p=psvin(sy,xp,xm,zb,9) c om51p=om51p+dble(coefom1)/2.d0*om51p**2+dble(coefom2)/6.d0*om51p**3 !!!!!!!!!! c if(om51p.gt.100.d0)om51p=100.d0 elseif(iqq.eq.12)then !soft(int) om51p=sy**dels*4.*.0389 elseif(iqq.eq.13)then !gg(int) om51p=psvin(sy,xp,xm,zb,5) elseif(iqq.eq.14)then ! c rh=alam3p+slopoms*log(max(1.,sy)) om51p=sy**dels*rh*(4.*.0389)**2 elseif(iqq.eq.15)then ! om51p=psvin(sy,xp,xm,zb,15) elseif(iqq.eq.16)then !soft(proj-int) om51p=chad(iclpro)*gamhads(iclpro)*sy**dels * *xp**(-alppar)*4.*.0389 elseif(iqq.eq.17)then !gg(proj-int) om51p=psvin(sy,xp,xm,zb,6) elseif(iqq.eq.18)then !qg(proj-int) om51p=psvin(sy,xp,xm,zb,7) elseif(iqq.eq.19)then ! c rh=r2hads(iclpro)+.5*alam3p+slopoms*log(max(1.,sy)) om51p=chad(iclpro)*gamhads(iclpro)*sy**dels * *xp**(-alppar)*rh*(4.*.0389)**2 elseif(iqq.eq.20)then ! om51p=psvin(sy,xp,xm,zb,17) elseif(iqq.eq.21)then ! om51p=psvin(sy,xp,xm,zb,19) endif return end cc----------------------------------------------------------------------- c double precision function om2p(xh,yp,xprem0,xmrem0,b,iqq) cc----------------------------------------------------------------------- cc om2p - chi~(x,y) for cut pomeron cc xh - fraction of the energy squared s for the pomeron; cc yp - rapidity for the pomeron; cc xprem - x+ for the projectile remnant; cc xmrem - x- for the target remnant; cc b - impact parameter between the pomeron ends; cc iqq = 0 - total, cc iqq = 1 - 1-cut, cc iqq = 2 - Y+, cc iqq = -2 - Y-, cc iqq = 3 - 1-cut(soft), cc iqq = 4 - 1+(gg), cc iqq = 5 - 1+(qg), cc iqq = 6 - 1+(gq), cc iqq = 7 - 1+(difr) cc iqq = -7 - 1-(difr) cc----------------------------------------------------------------------- c double precision xh,yp,xprem0,xmrem0 c include 'epos.inc' c include 'epos.incsem' c c om2p=0.d0 c sy=xh*engy**2 c xprem=sngl(xprem0) c xmrem=sngl(xmrem0) c xp=dsqrt(xh)*dexp(yp) c if(xh.ne.0.d0)then c xm=xh/xp c else c xm=0. c endif c rp=r2had(iclpro)+r2had(icltar)+slopom*log(max(1.,sy)) c zb=exp(-b**2/(4.*.0389*rp)) c c if(iqq.eq.0)then c om2p=psvy(xp,xprem,xm,xmrem,b,2) c * +psvy(xp,xprem,xm,xmrem,b,-2) c * +psvy(xp,xprem,xm,xmrem,b,3) c * +psvy(xp,xprem,xm,xmrem,b,-3) c * +psvy(xp,xprem,xm,xmrem,b,9) c * +psvy(xp,xprem,xm,xmrem,b,-9) c * +psvx(xp,xprem,xm,xmrem,b,1) c * +psvx(xp,xprem,xm,xmrem,b,2) c * +psvx(xp,xprem,xm,xmrem,b,-2) c * +psvx(xp,xprem,xm,xmrem,b,6) c * +psvx(xp,xprem,xm,xmrem,b,-6) c om2p=om2p+(chad(iclpro)*chad(icltar)*gamhad(iclpro) c * *gamhad(icltar)*sy**dels*(xp*xm)**(-alppar)*zb/rp c * +psvin(sy,xp,xm,zb,1)+psvin(sy,xp,xm,zb,2) c * +psvin(sy,xp,xm,zb,3)+psvin(sy,xp,xm,zb,4)) c elseif(iqq.eq.1)then c om2p=psvy(xp,xprem,xm,xmrem,b,2)+psvy(xp,xprem,xm,xmrem,b,-2) c * +psvx(xp,xprem,xm,xmrem,b,1) c elseif(iqq.eq.2)then c om2p=psvy(xp,xprem,xm,xmrem,b,3) c * +psvx(xp,xprem,xm,xmrem,b,2) c elseif(iqq.eq.-2)then c om2p=psvy(xp,xprem,xm,xmrem,b,-3) c * +psvx(xp,xprem,xm,xmrem,b,-2) c elseif(iqq.eq.3)then c om2p=psvy(xp,xprem,xm,xmrem,b,4)+psvy(xp,xprem,xm,xmrem,b,-4) c * +psvx(xp,xprem,xm,xmrem,b,3) c elseif(iqq.eq.4)then c om2p=psvy(xp,xprem,xm,xmrem,b,5)+psvy(xp,xprem,xm,xmrem,b,7) c * +psvy(xp,xprem,xm,xmrem,b,-5)+psvy(xp,xprem,xm,xmrem,b,-7) c * +psvx(xp,xprem,xm,xmrem,b,4)+psvx(xp,xprem,xm,xmrem,b,-4) c elseif(iqq.eq.5)then c om2p=psvy(xp,xprem,xm,xmrem,b,6)+psvy(xp,xprem,xm,xmrem,b,-8) c * +psvx(xp,xprem,xm,xmrem,b,5) c elseif(iqq.eq.6)then c om2p=psvy(xp,xprem,xm,xmrem,b,-6)+psvy(xp,xprem,xm,xmrem,b,8) c * +psvx(xp,xprem,xm,xmrem,b,-5) c elseif(iqq.eq.7)then c om2p=psvy(xp,xprem,xm,xmrem,b,9) c * +psvx(xp,xprem,xm,xmrem,b,6) c elseif(iqq.eq.-7)then c om2p=psvy(xp,xprem,xm,xmrem,b,-9) c * +psvx(xp,xprem,xm,xmrem,b,-6) c else c stop'om2p-wrong iqq!!!' c endif c return c end c cc----------------------------------------------------------------------- c double precision function om3p(xh,yp,xleg,xprem,xmrem,xlrem c *,b1,b2,b12,iqq) cc----------------------------------------------------------------------- cc om3p - chi~(x,y) for cut pomeron (nuclear effects) cc xh - fraction of the energy squared s for the pomeron; cc yp - rapidity for the pomeron; cc xleg - x for the pomeron leg; cc xprem - x+ for the projectile remnant; cc xmrem - x- for the target remnant; cc xlrem - x for the leg remnant; cc b1 - impact parameter between the pomeron ends; cc b2 - impact parameter for the second pomeron end; cc iqq = 1 - uncut+, cc iqq = 2 - cut+, cc iqq = 3 - scr+, cc iqq = 4 - diffr+, cc iqq = 5 - uncut-, cc iqq = 6 - cut-, cc iqq = 7 - scr-, cc iqq = 8 - diff- cc iqq = 9 - uncut-h+, cc iqq = 10 - uncut-h-, cc iqq = 11 - uncut-YY+, cc iqq = 12 - uncut-YY-, cc----------------------------------------------------------------------- c double precision xh,yp,xleg,xprem,xmrem,xlrem c c om3p=0.d0 c return !!!!!!!!!!!!!!! cc if(iqq.ne.1.and.iqq.ne.5.and.iqq.ne.9.and.iqq.ne.10 cc *.and.iqq.ne.11.and.iqq.ne.12)return c cc$$$ xp=dsqrt(xh)*exp(yp) cc$$$ if(xh.ne.0.d0)then cc$$$ xm=xh/xp cc$$$ else cc$$$ xm=0.d0 cc$$$ endif cc$$$ cc$$$ return c end c cc----------------------------------------------------------------------- c double precision function om4p(xx1,xx2,xx3,xx4 c *,b12,b13,b14,b23,b24,b34,iqq) cc----------------------------------------------------------------------- cc om4p - chi for 2-leg contributions cc xx_i - x+- for pomeron ends; cc b_ij - impact parameter diff. between pomeron ends; cc iqq = 1 - uncut-H, cc iqq = 2 - uncut-YY+, cc iqq = 3 - uncut-YY- cc----------------------------------------------------------------------- c double precision xx1,xx2xx3,xx4 c om4p=0.d0 c return c end c cc------------------------------------------------------------------------ c function omi5pp(sy,xpp,xpm,z,iqq) !former psfsh1 cc----------------------------------------------------------------------- cc omi5pp - integrated semihard interaction eikonal cc sy - energy squared for the hard interaction, cc z - impact parameter factor, z=exp(-b**2/rp), cc iqq - type of the hard interaction: cc 0 - soft, 1 - gg, 2 - qg, 3 - gq cc----------------------------------------------------------------------- c common /ar3/ x1(7),a1(7) c common /ar9/ x9(3),a9(3) c include 'epos.inc' c include 'epos.incsem' c fsy(zsy)=zsy**dels !*(1.-1./zsy)**betpom c c omi5pp=0. c if(iclpro.eq.4.and.iqq.eq.2.or.icltar.eq.4.and.iqq.eq.3)then c spmin=4.*q2min+2.*qcmass**2 c elseif(iqq.ne.0)then c spmin=4.*q2min c else c spmin=0. c endif c if(sy.le.spmin)return c c rp=r2had(iclpro)+r2had(icltar)+slopom*log(max(1.,sy)) c alpq=(alppar+1.)/2. c if(iqq.eq.3)then c iclt=iclpro c iclp=icltar c else c iclp=iclpro c iclt=icltar c endif c c if(iqq.eq.0)then c xpmax=(1.-spmin/sy)**(1.+alplea(iclp)) c do i=1,3 c do m=1,2 c xp=1.-(xpmax*(.5+x9(i)*(m-1.5)))**(1./(1.+alplea(iclp))) c xmmax=(1.-spmin/sy/xp)**(1.+alplea(iclt)) c do i1=1,3 c do m1=1,2 c xm=1.-(xmmax*(.5+x9(i1)*(m1-1.5)))**(1./(1.+alplea(iclt))) c c sy1=sy*xp*xm c rh=r2had(iclpro)+r2had(icltar)+slopom*log(max(1.,sy1)) c omi5pp=omi5pp+a9(i)*a9(i1)*fsy(sy1)*xmmax*z**(rp/rh)/rh c * *(xp*xm)**(-alppar) c enddo c enddo c enddo c enddo c omi5pp=omi5pp*xpmax/(1.+alplea(iclp))/(1.+alplea(iclt)) c * *chad(iclpro)*chad(icltar)*gamhad(iclpro)*gamhad(icltar) c * *(xpp*xpm)**(1.-alppar)/4. c return c else c c xmin=(spmin/sy)**(delh-dels) c do i=1,3 c do m=1,2 c zh=(.5*(1.+xmin-(2*m-3)*x9(i)*(1.-xmin)))**(1./(delh-dels)) c if(iclpro.eq.4.and.iqq.eq.2.or.icltar.eq.4.and.iqq.eq.3)then c call psjti0(zh*sy,sgq,sgqb,4,0) c call psjti0(zh*sy,sqq,sqqb,4,1) c else c call psjti0(zh*sy,sgg,sggb,0,0) c call psjti0(zh*sy,sgq,sgqb,0,1) c call psjti0(zh*sy,sqq,sqqb,1,1) c call psjti0(zh*sy,sqaq,sqaqb,-1,1) c call psjti0(zh*sy,sqqp,sqqpb,1,2) c sqq=(sqq+sqaq+2.*(naflav-1)*sqqp)/naflav/2. c endif c c if(iqq.eq.1)then c stg=0. c do i1=1,3 c do m1=1,2 c xx=.5+x9(i1)*(m1-1.5) c xp=zh**xx c xm=zh/xp c c xp1max=(1.-xp)**(1.+alplea(iclp)) c xm1max=(1.-xm)**(1.+alplea(iclt)) c do i2=1,3 c do m2=1,2 c xp1=1.-(xp1max*(.5+x9(i2)*(m2-1.5))) c * **(1./(1.+alplea(iclp))) c do i3=1,3 c do m3=1,2 c xm1=1.-(xm1max*(.5+x9(i3)*(m3-1.5))) c * **(1./(1.+alplea(iclt))) c if(xp1.lt.xp.or.xm1.lt.xm)write (*,*)'xp1,xm1,xp,xm' c * ,xp1,xm1,xp,xm c c rh=r2had(iclpro)+r2had(icltar)+slopom c * *log(xp1*xm1/xp/xm) c glu1=(1.-xp/xp1)**betpom*(1.-glusea) c sea1=EsoftQZero(xp/xp1)*glusea c glu2=(1.-xm/xm1)**betpom*(1.-glusea) c sea2=EsoftQZero(xm/xm1)*glusea c stg=stg+a9(i1)*a9(i2)*a9(i3)*(glu1*glu2*sgg c * +(glu1*sea2+sea1*glu2)*sgq+sea1*sea2*sqq) c * *xp1max*xm1max*(xp1*xm1)**(dels-alppar) c * *z**(rp/rh)/rh c enddo c enddo c enddo c enddo c enddo c enddo c omi5pp=omi5pp-a9(i)*log(zh)*stg/zh**delh c c else c stq=0. c xpmin=zh**(dels+.5) c do i1=1,3 c do m1=1,2 c xp=(.5*(1.+xpmin-(2*m1-3)*x9(i1)*(1.-xpmin))) c * **(1./(dels+.5)) c xm=zh/xp c if(xp*xpp.lt..99999)then c uv1=psdfh4(xp*xpp,q2min,0.,iclp,1) c dv1=psdfh4(xp*xpp,q2min,0.,iclp,2) c xm1max=(1.-xm)**(1.+alplea(iclt)) c do i2=1,3 c do m2=1,2 c xm1=1.-(xm1max*(.5+x9(i2)*(m2-1.5))) c * **(1./(1.+alplea(iclt))) c c rh=r2had(iclpro)+r2had(icltar)+slopom*log(xm1/xm) c glu2=(1.-xm/xm1)**betpom*(1.-glusea) c sea2=EsoftQZero(xm/xm1)*glusea c stq=stq+a9(i1)*a9(i2)*(glu2*sgq+sea2*sqq)*(uv1+dv1) c * *z**(rp/rh)/rh*xm1max*xm1**(dels-alppar)/sqrt(xp) c * *((1.-xp)/(1.-xp*xpp))**(1.-alpq+alplea(iclp)) c enddo c enddo c endif c enddo c enddo c stq=stq*(1.-xpmin) c omi5pp=omi5pp+a9(i)*stq/zh**delh c endif c enddo c enddo c endif c c omi5pp=omi5pp*(1.-xmin)/(delh-dels) c if(iqq.eq.1)then c omi5pp=omi5pp*chad(iclp)*chad(iclt)*gamhad(iclp) c * *gamhad(iclt)*rr**2*(xpp*xpm)**(1.-alppar) c * /(1.+alplea(iclp))/(1.+alplea(iclt))*pi/8.*factk c else c omi5pp=omi5pp*chad(iclp)*chad(iclt)*rr*gamhad(iclt) c * *xpp**(1.-alpq)*xpm**(1.-alppar)/(.5+dels) c * /(1.+alplea(iclt))/16.*factk c endif c return c end c c------------------------------------------------------------------------ function om52pi(sy,xpp,xpm,iqq,je1,je2) !modified om51pp c----------------------------------------------------------------------- c sy - energy squared for the hard interaction c c iqq = 0 - sea-sea, c iqq = 1 - val-sea, c iqq = 2 - sea-val, c iqq = 3 - val-val, c c je = emission type c 0 ... no emissions c 1 ... emissions c else ... all c c already b-averaged (\int d2b /sigine*10) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) common /psar7/ delx,alam3p,gam3p include 'epos.inc' include 'epos.incsem' if(iqq.lt.0.or.iqq.gt.3)stop'om52pi: unvalid iqq' om52pi=0. ef1=0 ef2=0 ef3=0 ef4=0 if( je1.ge.1 .and. je2.ge.1) ef1=1 if( je1.ge.1 .and.(je2.eq.0.or.je2.eq.2))ef2=1 if((je1.eq.0.or.je1.eq.2).and. je2.ge.1) ef3=1 if((je1.eq.0.or.je1.eq.2).and.(je2.eq.0.or.je2.eq.2))ef4=1 spmin=4.*q2min if(sy.le.spmin)goto999 if(iqq.eq.1)then iclv=iclpro ctp060829 icls=icltar elseif(iqq.eq.2)then ctp060829 icls=iclpro iclv=icltar endif delss=dels if(iqq.eq.3)delss=-0.5 xmin=spmin/sy xmin=xmin**(delh-delss) alpq=(alppar+1.)/2. c numerical integration over zh do i=1,7 do m=1,2 zh=(.5*(1.+xmin-(2*m-3)*x1(i)*(1.-xmin)))**(1./(delh-delss)) sgg= ef1 *pijet(2,q2min,q2min,zh*sy,0,0) * + (ef2+ef3)*pijet(1,q2min,q2min,zh*sy,0,0) * + ef4 *pijet(0,q2min,q2min,zh*sy,0,0) sgq= ef1 *pijet(2,q2min,q2min,zh*sy,0,1) * + (ef2+ef3)*pijet(1,q2min,q2min,zh*sy,0,1) * + ef4 *pijet(0,q2min,q2min,zh*sy,0,1) sqq= ef1 *pijet(2,q2min,q2min,zh*sy,1,1) * + (ef2+ef3)*pijet(1,q2min,q2min,zh*sy,1,1) * + ef4 *pijet(0,q2min,q2min,zh*sy,1,1) sqaq= ef1 *pijet(2,q2min,q2min,zh*sy,-1,1) * + (ef2+ef3)*pijet(1,q2min,q2min,zh*sy,-1,1) * + ef4 *pijet(0,q2min,q2min,zh*sy,-1,1) sqqp= ef1 *pijet(2,q2min,q2min,zh*sy,1,2) * + (ef2+ef3)*pijet(1,q2min,q2min,zh*sy,1,2) * + ef4 *pijet(0,q2min,q2min,zh*sy,1,2) sqqi=sqq sqq=(sqq+sqaq+2.*(naflav-1)*sqqp)/naflav/2. if(iqq.eq.0)then stg=0. do i1=1,7 do m1=1,2 xx=.5+x1(i1)*(m1-1.5) xp=zh**xx xm=zh/xp glu1=EsoftGluonTil(xp) sea1=EsoftQuarkTil(xp) glu2=EsoftGluonTil(xm) sea2=EsoftQuarkTil(xm) dstg= glu1*glu2*sgg * +(glu1*sea2+sea1*glu2)*sgq !ccccc * +sea1*sea2*sqq !ccccc stg=stg+a1(i1)*dstg enddo enddo om52pi=om52pi-a1(i)*log(zh)*stg/zh**delh elseif(iqq.eq.3)then stq=0. !int^1_(sqrt(z)) dx_p / x_p / sqrt(1-x_p) =int^(tmax)_(0) dt tmax=sqrt(1.-sqrt(zh)) !t=ln((1+sqrt(1-x_p))/(1-sqrt(1-x_p))) tmax=log((1.+tmax)/(1.-tmax)) if(tmax.gt.1.e-20)then do i1=1,7 do m1=1,2 t=tmax*(.5+x1(i1)*(m1-1.5)) z01=((1.d0-exp(-1.d0*t))/(1.d0+exp(-1.d0*t)))**2 xp=1.-z01 xm=zh/xp if(xp*xpp.le..9999.and.xm*xpm.le..9999 * .or.xm*xpp.le..9999.and.xp*xpm.le..9999)then stq=stq+a1(i1) * *(psharg(xp*xpp,xm*xpm,sqqi,sqqp,sqaq) * +psharg(xm*xpp,xp*xpm,sqqi,sqqp,sqaq)) * *max(1e-20,1.-xp)**(.5-alpq) * *max(1e-20,1.-xm)**(-alpq) * *xp**delss*xm**delss * *xpp**alppar/gamhad(iclpro) ! Eval * *xpm**alppar/gamhad(icltar) ! Eval endif enddo enddo stq=stq*tmax endif om52pi=om52pi+a1(i)*stq/zh**delh elseif(iqq.eq.1.or.iqq.eq.2)then stq=0. tmax=acos(sqrt(zh)) do i1=1,7 do m1=1,2 t=tmax*(.5+x1(i1)*(m1-1.5)) xp=cos(t)**2 xm=zh/xp if(xp*xpp.lt..99999)then uv1=psdfh4(xp*xpp,q2min,0.,iclv,1) ! Eval dv1=psdfh4(xp*xpp,q2min,0.,iclv,2) ! Eval glu2=EsoftGluonTil(xm) sea2=EsoftQuarkTil(xm) dstq=0 if(xp.ne.1.) * dstq=(glu2*sgq+sea2*sqq)*(uv1+dv1) * *(1.-xp*xpp)**(-1.+alpq-alplea(iclv)) ! Eval * *xp**(delss-.5)*(1.-xp)**(-alpq+.5) ! Eval *sqrt(1-x)/sqrt(x) * *xpp**alppar/gamhad(iclv) ! Eval stq=stq+a1(i1)*dstq endif enddo enddo stq=stq*tmax om52pi=om52pi+a1(i)*stq/zh**delh else stop'om52pi: unvalid iqq (2). ' endif enddo enddo om52pi=om52pi*(1.-xmin)/(delh-delss) if(iqq.eq.0)then om52pi=om52pi/4 elseif(iqq.eq.3)then om52pi=om52pi/4 * * utgam1(2.+alplea(iclpro)-alpq) ! Eval * /utgam1(1.+alplea(iclpro))/utgam1(1.-alpq) ! Eval * * utgam1(2.+alplea(icltar)-alpq) ! Eval * /utgam1(1.+alplea(icltar))/utgam1(1.-alpq) ! Eval * /xpp**alpq/xpm**alpq ! Eval elseif(iqq.le.2)then om52pi=om52pi/2 * *utgam1(2.+alplea(iclv)-alpq)/utgam1(1.+alplea(iclv)) ! Eval * /utgam1(1.-alpq) ! Eval * /xpp**alpq ! Eval endif 999 continue om52pi=om52pi*factk * .0390 /sigine*10 /2. end c------------------------------------------------------------------------ function psharg(zh1,zh2,sqq,sqqp,sqaq) c----------------------------------------------------------------------- include 'epos.incsem' include 'epos.inc' alpq=(alppar+1.)/2. if(zh1.le..9999.and.zh2.le..9999)then uv1=psdfh4(zh1,q2min,0.,iclpro,1) dv1=psdfh4(zh1,q2min,0.,iclpro,2) uv2=psdfh4(zh2,q2min,0.,icltar,1) dv2=psdfh4(zh2,q2min,0.,icltar,2) if(iclpro.eq.2.and.icltar.eq.2)then !proton fff=sqq*(uv1*uv2+dv1*dv2)+sqqp*(uv1*dv2+dv1*uv2) elseif(iclpro.eq.1.or.icltar.eq.1)then !pion fff=sqq*uv1*uv2+sqaq*dv1*dv2+sqqp*(uv1*dv2+dv1*uv2) elseif(iclpro.eq.3.or.icltar.eq.3)then !kaon fff=sqq*uv1*uv2+sqqp*(uv1*dv2+dv1*uv2+dv1*dv2) elseif(iclpro.eq.4.or.icltar.eq.4)then !J/psi fff=sqq*uv1*(uv2+dv2) endif psharg=fff * *(1.-zh1)**(-1.+alpq-alplea(iclpro)) * *(1.-zh2)**(-1.+alpq-alplea(icltar)) else psharg=0. endif return end c------------------------------------------------------------------------ function om51pp(sy,xpp,z,iqq) !former psfsh c----------------------------------------------------------------------- c om51pp - semihard interaction eikonal c sy - energy squared for the hard interaction, c z - impact parameter factor, z=exp(-b**2/rp), c iqq - type of the hard interaction: c 0 - gg, 1 - qg, 2 - gq, 3 - gg(int), 4 - gg(proj), 5 - qg(proj), c 6 - gg(int)|b=0, 7 - , 8 - gg(proj)|b=0, c 9 - , 10 - qg(proj)|b=0, 11 - c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) common /psar7/ delx,alam3p,gam3p include 'epos.inc' include 'epos.incsem' om51pp=0. if(iqq.eq.0.or.iqq.eq.3.or.iqq.eq.4 *.or.iqq.eq.6.or.iqq.eq.7.or.iqq.eq.8.or.iqq.eq.9 *.or.iclpro.ne.4.and.(iqq.eq.1.or.iqq.eq.5 *.or.iqq.eq.10.or.iqq.eq.11) *.or.icltar.ne.4.and.iqq.eq.2)then spmin=4.*q2min else spmin=4.*q2min+2.*qcmass**2 endif if(sy.le.spmin)goto999 if(iqq.eq.1.or.iqq.eq.5.or.iqq.eq.10.or.iqq.eq.11)then iclv=iclpro icls=icltar elseif(iqq.eq.2)then icls=iclpro iclv=icltar endif xmin=spmin/sy xmin=xmin**(delh-dels) rp=r2had(iclpro)+r2had(icltar)+slopom*log(max(1.,sy)) alpq=(alppar+1.)/2. c numerical integration over zh do i=1,7 do m=1,2 zh=(.5*(1.+xmin-(2*m-3)*x1(i)*(1.-xmin)))**(1./ * (delh-dels)) if(iqq.eq.0.or.iqq.eq.3.or.iqq.eq.4 * .or.iqq.eq.6.or.iqq.eq.7.or.iqq.eq.8.or.iqq.eq.9 * .or.iclpro.ne.4.and.(iqq.eq.1.or.iqq.eq.5 * .or.iqq.eq.10.or.iqq.eq.11) * .or.icltar.ne.4.and.iqq.eq.2)then call psjti0(zh*sy,sgg,sggb,0,0) !inclusive (sj) and born (sjb) call psjti0(zh*sy,sgq,sgqb,0,1) call psjti0(zh*sy,sqq,sqqb,1,1) call psjti0(zh*sy,sqaq,sqaqb,-1,1) call psjti0(zh*sy,sqqp,sqqpb,1,2) sqq=(sqq+sqaq+2.*(naflav-1)*sqqp)/naflav/2. c...........test....... c tgg= psjet(q2min,q2min,q2min,zh*sy,0,0,0) c * +2*psjet1(q2min,q2min,q2min,zh*sy,0,0,0) c * + psborn(q2min,q2min,q2min,zh*sy,0,0,0,1) c tgq= psjet(q2min,q2min,q2min,zh*sy,0,1,0) c * +2*psjet1(q2min,q2min,q2min,zh*sy,0,1,0) c * + psborn(q2min,q2min,q2min,zh*sy,0,1,0,1) c tqq= psjet(q2min,q2min,q2min,zh*sy,1,1,0) c * +2*psjet1(q2min,q2min,q2min,zh*sy,1,1,0) c * + psborn(q2min,q2min,q2min,zh*sy,1,1,0,1) c tqa= psjet(q2min,q2min,q2min,zh*sy,-1,1,0) c * +2*psjet1(q2min,q2min,q2min,zh*sy,-1,1,0) c * + psborn(q2min,q2min,q2min,zh*sy,-1,1,0,1) c tqqp= psjet(q2min,q2min,q2min,zh*sy,1,2,0) c * +2*psjet1(q2min,q2min,q2min,zh*sy,1,2,0) c * + psborn(q2min,q2min,q2min,zh*sy,1,2,0,1) c write(6,'(f12.2,3x,2f7.3,2(3x,2f7.3))') c * zh*sy,tgg,sgg, tgq,sgq, tqqp,sqqp c....................... else call psjti0(zh*sy,sgq,sgqb,4,0) call psjti0(zh*sy,sqq,sqqb,4,1) endif if(iqq.eq.0.or.iqq.eq.3.or.iqq.eq.4 * .or.iqq.eq.6.or.iqq.eq.7.or.iqq.eq.8.or.iqq.eq.9)then stg=0. do i1=1,7 do m1=1,2 xx=.5+x1(i1)*(m1-1.5) xp=zh**xx xm=zh/xp glu1=(1.-xp)**betpom*(1.-glusea) sea1=EsoftQZero(xp)*glusea glu2=(1.-xm)**betpom*(1.-glusea) sea2=EsoftQZero(xm)*glusea if(iqq.eq.0)then rh=r2had(iclpro)+r2had(icltar)-slopom*log(zh) elseif(iqq.eq.3.or.iqq.eq.4)then rh=1. elseif(iqq.eq.6.or.iqq.eq.7)then rh=alam3p-slopom*log(zh) elseif(iqq.eq.8.or.iqq.eq.9)then rh=r2had(iclpro)+.5*alam3p-slopom*log(zh) endif dstg=(glu1*glu2*sgg+ * (glu1*sea2+sea1*glu2)*sgq+sea1*sea2*sqq) * *z**(rp/rh)/rh if(iqq.eq.7.or.iqq.eq.9)dstg=dstg*rh**2 stg=stg+a1(i1)*dstg enddo enddo om51pp=om51pp-a1(i)*log(zh)*stg/zh**delh else stq=0. tmax=acos(sqrt(zh)) do i1=1,7 do m1=1,2 t=tmax*(.5+x1(i1)*(m1-1.5)) xp=cos(t)**2 xm=zh/xp if(xp*xpp.lt..99999)then uv1=psdfh4(xp*xpp,q2min,0.,iclv,1) dv1=psdfh4(xp*xpp,q2min,0.,iclv,2) glu2=(1.-xm)**betpom*(1.-glusea) sea2=EsoftQZero(xm)*glusea if(iqq.le.2)then rh=r2had(iclpro)+r2had(icltar)-slopom*log(xm) elseif(iqq.eq.5)then rh=1. elseif(iqq.le.10.or.iqq.le.11)then rh=r2had(iclpro)+.5*alam3p-slopom*log(xm) endif dstq=0 if(xp.ne.1.) * dstq=(glu2*sgq+sea2*sqq)*(uv1+dv1) * *z**(rp/rh)/rh * *(1.-xp*xpp)**(-1.+alpq-alplea(iclv)) * *xp**(dels-.5)*(1.-xp)**(-alpq+.5) if(iqq.eq.11)dstq=dstq*rh**2 stq=stq+a1(i1)*dstq endif enddo enddo stq=stq*tmax om51pp=om51pp+a1(i)*stq/zh**delh endif enddo enddo om51pp=om51pp*(1.-xmin)/(delh-dels)/sy**delh/2. if(iqq.eq.0)then om51pp=om51pp*chad(iclpro)*chad(icltar)*gamhad(iclpro) * *gamhad(icltar)*rr**2*pi elseif(iqq.eq.3)then om51pp=om51pp*rr**2*pi*4.*.0389 elseif(iqq.eq.6)then om51pp=om51pp*rr**2*pi elseif(iqq.eq.7)then om51pp=om51pp*rr**2*pi*(4.*.0389)**2 elseif(iqq.eq.4.or.iqq.eq.8.or.iqq.eq.9)then om51pp=om51pp*rr**2*pi*chad(iclpro)*gamhad(iclpro) if(iqq.eq.4)om51pp=om51pp*4.*.0389 if(iqq.eq.9)om51pp=om51pp*(4.*.0389)**2 elseif(iqq.le.2)then om51pp=om51pp*chad(iclpro)*chad(icltar)*rr*gamhad(icls) * *utgam1(2.+alplea(iclv)-alpq)/utgam1(1.+alplea(iclv)) * /utgam1(1.-alpq)/2./xpp**alpq elseif(iqq.eq.5.or.iqq.eq.10.or.iqq.eq.11)then om51pp=om51pp*chad(iclv)*rr * *utgam1(2.+alplea(iclv)-alpq)/utgam1(1.+alplea(iclv)) * /utgam1(1.-alpq)/2./xpp**alpq if(iqq.eq.5)om51pp=om51pp*4.*.0389 if(iqq.eq.11)om51pp=om51pp*(4.*.0389)**2 endif 999 continue end c------------------------------------------------------------------------ subroutine psfz(gz2,b) c----------------------------------------------------------------------- c hadron-nucleus cross sections calculation c b - impact parameter squared c----------------------------------------------------------------------- double precision PhiExpo include 'epos.inc' common /ar3/ x1(7),a1(7) external pttcs,pprcs gz2=0. e1=exp(-1.) rs=r2had(iclpro)+r2had(icltar)+max(slopom,slopoms)*log(engy**2) & +gwidth*(r2had(iclpro)+r2had(icltar)) & +bmxdif(iclpro,icltar)/4./0.0389 rpom=4.*.0389*rs do i1=1,7 do m=1,2 z=.5+x1(i1)*(m-1.5) zv1=exp(-z) zv2=(e1*z) b1=sqrt(-rpom*log(zv1)) b2=sqrt(-rpom*log(zv2)) vv21=sngl(PhiExpo(1.,1.d0,1.d0,engy**2,b1)) vv22=sngl(PhiExpo(1.,1.d0,1.d0,engy**2,b2)) if(maproj.eq.1.and.matarg.eq.1)then cg1=1. cg2=1. elseif(matarg.eq.1)then cg1=ptrot(pprcs,b,b1) cg2=ptrot(pprcs,b,b2) else cg1=ptrot(pttcs,b,b1) cg2=ptrot(pttcs,b,b2) endif gz2=gz2+a1(i1)*(cg1*(1.-vv21)+cg2*(1.-vv22)/z) enddo enddo gz2=gz2*rpom/2. return end c------------------------------------------------------------------------ function ptgau(func,bm,iqq) c----------------------------------------------------------------------- c impact parameter integration for impact parameters bm - c for hadron-nucleus cross-sections calculation c iqq=1 : projectile, iqq=2 : target c----------------------------------------------------------------------- include 'epos.inc' common /ar5/ x5(2),a5(2) ptgau1=0. if(iqq.eq.1)then difn=difnuc(maproj) else difn=difnuc(matarg) endif do i=1,2 b=bm+x5(i)*difn ptgau1=ptgau1+ptfau(b,iqq)*a5(i)*exp(x5(i))*b*2.*pi*difn enddo return end c------------------------------------------------------------------------ function ptgau2(bm) c----------------------------------------------------------------------- c impact parameter integration for impact parameters >bm - c for nucleus-nucleus cross-sections calculation c----------------------------------------------------------------------- include 'epos.inc' common /ar5/ x5(2),a5(2) ptgau2=0. difn=difnuc(maproj)+difnuc(matarg) do i=1,2 b=bm+x5(i)*difn ptgau2=ptgau2+ptfauAA(b)*a5(i)*exp(x5(i))*b*2.*pi*difn enddo return end c------------------------------------------------------------------------ function ptfau(b,iqq) c----------------------------------------------------------------------- c ptfau - integrands for hadron-nucleus cross-sections calculation c iqq=1 : projectile, iqq=2 : target c----------------------------------------------------------------------- include 'epos.inc' common /psar35/ anorm,anormp call psfz(gz2,b) if(iqq.eq.1)then ptfau=1.-max(0.,(1.-anormp*gz2))**maproj else ptfau=1.-max(0.,(1.-anorm*gz2))**matarg endif return end c------------------------------------------------------------------------ function ptfauAA(b) c----------------------------------------------------------------------- c ptfau - integrands for hadron-nucleus cross-sections calculation c----------------------------------------------------------------------- include 'epos.inc' common /ar3/ x1(7),a1(7) common /psar35/ anorm,anormp external pprcs ptfauAA=0. e1=exp(-1.) rs=r2had(iclpro)+r2had(icltar)+max(slopom,slopoms)*log(engy**2) & +gwidth*(r2had(iclpro)+r2had(icltar)) & +bmxdif(iclpro,icltar)/4./0.0389 rpom=4.*.0389*rs do i1=1,7 do m=1,2 z=.5+x1(i1)*(m-1.5) zv1=exp(-z) zv2=(e1*z) b1=sqrt(-rpom*log(zv1)) b2=sqrt(-rpom*log(zv2)) call psfz(gz21,b1) call psfz(gz22,b2) ptfau1=max(0.,(1.-anorm*gz21))**matarg ptfau2=max(0.,(1.-anorm*gz22))**matarg cg1=ptrot(pprcs,b,b1) cg2=ptrot(pprcs,b,b2) ptfauAA=ptfauAA+a1(i1)*(cg1*(1.-ptfau1)+cg2*(1.-ptfau2)/z) enddo enddo ptfauAA=ptfauAA*rpom/2. ptfauAA=1.-max(0.,(1.-anormp*ptfauAA))**maproj return end c------------------------------------------------------------------------ function ptrot(func,s,b) c----------------------------------------------------------------------- c convolution of nuclear profile functions (axial angle integration) c----------------------------------------------------------------------- common /ar8/ x2(4),a2 external func ptrot=0. do i=1,4 sb1=b**2+s**2-2.*b*s*(2.*x2(i)-1.) sb2=b**2+s**2-2.*b*s*(1.-2.*x2(i)) ptrot=ptrot+(func(sb1)+func(sb2)) enddo ptrot=ptrot*a2 return end c------------------------------------------------------------------------ function pttcs(b0) c----------------------------------------------------------------------- c ptt - nuclear profile function value at imp param squared b*difnuc**2 c----------------------------------------------------------------------- include 'epos.inc' common /psar34/ rrr,rrrm common /ar5/ x5(2),a5(2) common /ar9/ x9(3),a9(3) b=b0/difnuc(matarg)**2 pttcs=0. zm=rrrm**2-b if(zm.gt.4.*b)then zm=sqrt(zm) else zm=2.*sqrt(b) endif do i=1,3 z1=zm*(1.+x9(i))*0.5 z2=zm*(1.-x9(i))*0.5 quq=sqrt(b+z1**2)-rrr if (quq.lt.85.)pttcs=pttcs+a9(i)/(1.+exp(quq)) quq=sqrt(b+z2**2)-rrr if (quq.lt.85.)pttcs=pttcs+a9(i)/(1.+exp(quq)) enddo pttcs=pttcs*zm*0.5 dt=0. do i=1,2 z1=x5(i)+zm quq=sqrt(b+z1**2)-rrr-x5(i) if (quq.lt.85.)dt=dt+a5(i)/(exp(-x5(i))+exp(quq)) enddo pttcs=pttcs+dt return end c------------------------------------------------------------------------ function pprcs(b0) c----------------------------------------------------------------------- c ptt - nuclear profile function value at imp param squared b*difnuc**2 c----------------------------------------------------------------------- include 'epos.inc' common /psar41/ rrrp,rrrmp common /ar5/ x5(2),a5(2) common /ar9/ x9(3),a9(3) b=b0/difnuc(maproj)**2 pprcs=0. zm=rrrmp**2-b if(zm.gt.4.*b)then zm=sqrt(zm) else zm=2.*sqrt(b) endif do i=1,3 z1=zm*(1.+x9(i))*0.5 z2=zm*(1.-x9(i))*0.5 quq=sqrt(b+z1**2)-rrrp if (quq.lt.85.)pprcs=pprcs+a9(i)/(1.+exp(quq)) quq=sqrt(b+z2**2)-rrrp if (quq.lt.85.)pprcs=pprcs+a9(i)/(1.+exp(quq)) enddo pprcs=pprcs*zm*0.5 dt=0. do i=1,2 z1=x5(i)+zm quq=sqrt(b+z1**2)-rrrp-x5(i) if (quq.lt.85.)dt=dt+a5(i)/(exp(-x5(i))+exp(quq)) enddo pprcs=pprcs+dt return end c------------------------------------------------------------------------------ function pscrse(ek,mapr,matg) c------------------------------------------------------------------------------ c hadron-nucleus (hadron-proton) and nucl-nucl particle production cross section c ek - lab kinetic energy for the interaction c maproj - projec mass number (1, c iqq = 16 - gg(proj)|b=0, c iqq = 17 - , c iqq = 18 - qg(proj)|b=0, c iqq = 19 - c----------------------------------------------------------------------- dimension wk(3),wi(3),wj(3),wz(3),fa(3) common /psar2/ edmax,epmax common /psar4/ fhgg(11,10,8),fhqg(11,10,80) *,fhgq(11,10,80),fhqq(11,10,80),fhgg0(11,10),fhgg1(11,10,4) *,fhqg1(11,10,40),fhgg01(11),fhgg02(11),fhgg11(11,4) *,fhgg12(11,4),fhqg11(11,10,4),fhqg12(11,10,4) *,ftoint(11,14,2,2,3) common /psar7/ delx,alam3p,gam3p include 'epos.inc' include 'epos.incsem' if(iqq.eq.3)then xp=xpm xm=xpp iclp=icltar iclt=iclpro else xp=xpp xm=xpm iclp=iclpro iclt=icltar endif rp=r2had(iclpro)+r2had(icltar)+slopom*log(max(1.,sy)) psvin=0. if(iqq.eq.1.or.iqq.eq.5.or.iqq.eq.6.or.iqq.eq.14 *.or.iqq.eq.15.or.iqq.eq.16.or.iqq.eq.17 *.or.iclpro.ne.4.and.(iqq.eq.2.or.iqq.eq.7 *.or.iqq.eq.18.or.iqq.eq.19) *.or.icltar.ne.4.and.iqq.eq.3 *.or.iclpro.ne.4.and.icltar.ne.4)then spmin=4.*q2min else spmin=4.*q2min+2.*qcmass**2 endif if(sy.le.spmin.and.(iqq.le.7.or.iqq.gt.13))return if(iqq.le.7.or.iqq.gt.13)then yl=log(sy/spmin)/log(epmax/2./spmin)*10.+1 k=int(yl) if(k.gt.9)k=9 wk(2)=yl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) if(iqq.ne.4)then !---------------- not 4 ------------------ if(iqq.eq.5)then if(k.eq.1)then psvin=max(0.,exp(fhgg01(k+1))*wk(2) * +exp(fhgg01(k+2))*wk(3)) else psvin=exp(fhgg01(k)*wk(1)+fhgg01(k+1)*wk(2) * +fhgg01(k+2)*wk(3)) endif psvin=psvin*factk*sy**delh return elseif(iqq.eq.15)then if(k.eq.1)then psvin=max(0.,exp(fhgg02(k+1))*wk(2) * +exp(fhgg02(k+2))*wk(3)) else psvin=exp(fhgg02(k)*wk(1)+fhgg02(k+1)*wk(2) * +fhgg02(k+2)*wk(3)) endif psvin=psvin*factk*sy**delh return elseif(iqq.eq.6)then if(k.eq.1)then psvin=max(0.,exp(fhgg11(k+1,iclpro))*wk(2) * +exp(fhgg11(k+2,iclpro))*wk(3)) else psvin=exp(fhgg11(k,iclpro)*wk(1)+fhgg11(k+1,iclpro)*wk(2) * +fhgg11(k+2,iclpro)*wk(3)) endif psvin=psvin*factk*sy**delh*xp**(-alppar) return elseif(iqq.eq.17)then if(k.eq.1)then psvin=max(0.,exp(fhgg12(k+1,iclpro))*wk(2) * +exp(fhgg12(k+2,iclpro))*wk(3)) else psvin=exp(fhgg12(k,iclpro)*wk(1)+fhgg12(k+1,iclpro)*wk(2) * +fhgg12(k+2,iclpro)*wk(3)) endif psvin=psvin*factk*sy**delh*xp**(-alppar) return elseif(iqq.eq.7.or.iqq.eq.19)then if(xp.lt..2)then xl=log(10.*xp)/log(2.)+5. else xl=5.*xp+5. endif i=int(xl) if(i.lt.1)i=1 if(i.eq.5)i=4 if(i.gt.8)i=8 wi(2)=xl-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) do k1=1,3 fa(k1)=0. do i1=1,3 k2=k+k1-1 if(iqq.eq.7)then fhhh=fhqg11(k2,i+i1-1,iclpro) elseif(iqq.eq.19)then fhhh=fhqg12(k2,i+i1-1,iclpro) endif fa(k1)=fa(k1)+fhhh*wi(i1) enddo enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*factk*sy**delh return endif jz=int(10.*z) if(jz.gt.8)jz=8 if(jz.lt.1)jz=1 wz(2)=10.*z-jz wz(3)=wz(2)*(wz(2)-1.)*.5 wz(1)=1.-wz(2)+wz(3) wz(2)=wz(2)-2.*wz(3) if(iqq.eq.14)then do k1=1,3 k2=k+k1-1 fa(k1)=fhgg0(k2,jz)*wz(1)+fhgg0(k2,jz+1) * *wz(2)+fhgg0(k2,jz+2)*wz(3) enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*z*factk*sy**delh elseif(iqq.eq.16)then do k1=1,3 k2=k+k1-1 fa(k1)=fhgg1(k2,jz,iclpro)*wz(1)+fhgg1(k2,jz+1,iclpro) * *wz(2)+fhgg1(k2,jz+2,iclpro)*wz(3) enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*z*factk*sy**delh*xp**(-alppar) elseif(iqq.eq.18)then if(xp.lt..2)then xl=log(10.*xp)/log(2.)+5. else xl=5.*xp+5. endif i=int(xl) if(i.lt.1)i=1 if(i.eq.5)i=4 if(i.gt.8)i=8 wi(2)=xl-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) do k1=1,3 fa(k1)=0. do i1=1,3 do l1=1,3 k2=k+k1-1 l2=jz+l1-1+10*(iclpro-1) fhhh=fhqg1(k2,i+i1-1,l2) fa(k1)=fa(k1)+fhhh*wi(i1)*wz(l1) enddo enddo enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*z*factk*sy**delh elseif(iqq.eq.1)then !1111111111111111111111111111111111 do k1=1,3 k2=k+k1-1 iclpt=iclpro+4*(icltar-1) fa(k1)=fhgg(k2,jz,iclpt)*wz(1)+fhgg(k2,jz+1,iclpt) * *wz(2)+fhgg(k2,jz+2,iclpt)*wz(3) enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*z*factk*sy**delh*(xp*xm)**(-alppar) else ! 2222222222222222222222 3333333333333333333333 .... if(xp.lt..2)then xl=log(10.*xp)/log(2.)+5. else xl=5.*xp+5. endif i=int(xl) if(i.lt.1)i=1 if(i.eq.5)i=4 if(i.gt.8)i=8 wi(2)=xl-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) do k1=1,3 fa(k1)=0. do i1=1,3 do l1=1,3 k2=k+k1-1 if(iqq.eq.2)then l2=jz+l1-1+10*(iclpro+4*(icltar-1)-1) fhhh=fhqg(k2,i+i1-1,l2) elseif(iqq.eq.3)then l2=jz+l1-1+10*(iclpro+4*(icltar-1)-1) fhhh=fhgq(k2,i+i1-1,l2) endif fa(k1)=fa(k1)+fhhh*wi(i1)*wz(l1) enddo enddo enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*xm**(-alppar)*z*factk*sy**delh endif else ! ------------- 4444444444444444444 ----------------------- if(xp.lt..2)then xl1=log(10.*xp)/log(2.)+5. else xl1=5.*xp+5. endif i=max(1,int(xl1)) if(i.eq.5)i=4 i=min(8,i) wi(2)=xl1-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) if(xm.lt..2)then xl2=log(10.*xm)/log(2.)+5. else xl2=5.*xm+5. endif j=max(1,int(xl2)) if(j.eq.5)j=4 j=min(8,j) wj(2)=xl2-j wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) do k1=1,3 fa(k1)=0. do i1=1,3 do j1=1,3 k2=k+k1-1 j2=j+j1-1+10*(iclp+4*(iclt-1)-1) fa(k1)=fa(k1)+fhqq(k2,i+i1-1,j2)*wi(i1)*wj(j1) enddo enddo enddo if(k.eq.1)then psvin=max(0.,exp(fa(2))*wk(2)+exp(fa(3))*wk(3)) else psvin=exp(fa(1)*wk(1)+fa(2)*wk(2)+fa(3)*wk(3)) endif psvin=psvin*z**(rp/(r2had(iclpro)+r2had(icltar)))* * factk*sy**delh endif !-------------------------------------------- return endif yl=log(sy)/log(1.e8)*10.+1 k=max(1,int(yl)) k=min(k,9) !?????????????9 wk(2)=yl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) if(z.gt..1)then zz=10.*z+4 else zz=50.*z endif jz=min(12,int(zz)) if(jz.eq.0)jz=1 if(jz.eq.4)jz=3 wz(2)=zz-jz wz(3)=wz(2)*(wz(2)-1.)*.5 wz(1)=1.-wz(2)+wz(3) wz(2)=wz(2)-2.*wz(3) if(iqq.eq.9)then do k1=1,3 do l1=1,3 k2=k+k1-1 l2=jz+l1-1 psvin=psvin+ftoint(k2,l2,icdp,icdt,iclp)*wk(k1)*wz(l1) enddo enddo psvin=exp(psvin)*z endif return end c------------------------------------------------------------------------ function psbint(q1,q2,qqcut,ss,m1,l1,jdis) c----------------------------------------------------------------------- c psbint - born cross-section interpolation c q1 - virtuality cutoff at current end of the ladder; c q2 - virtuality cutoff at opposite end of the ladder; c qqcut - p_t cutoff for the born process; c s - total c.m. energy squared for the scattering, c m1 - parton type at current end of the ladder (0 - g, 1,-1,2,... - q) c l1 - parton type at opposite end of the ladder (0 - g, 1,-1,2,... - q) c----------------------------------------------------------------------- dimension wi(3),wk(3) common /psar2/ edmax,epmax common /psar21/ csbor(20,160,2) include 'epos.incsem' double precision psuds psbint=0. if(jdis.eq.0)then qq=max(q1,q2) else qq=max(q1/4.,q2) endif qq=max(qq,qqcut) if(iabs(m1).ne.4)then q2mass=0. if(m1.ne.0.and.m1.eq.l1)then m=2 l=2 elseif(m1.ne.0.and.m1.eq.-l1)then m=3 l=1 elseif(m1.ne.0.and.l1.ne.0.and.m1.ne.l1)then m=3 l=2 else m=min(1,iabs(m1))+1 l=min(1,iabs(l1))+1 endif else q2mass=qcmass**2 m=4 l=min(1,iabs(l1))+1 endif s=ss-q2mass spmin=4.*q2min+q2mass s2min=4.*qq+q2mass if(s.le.s2min)return p1=s/(1.+q2mass/s) if(p1.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/p1)) else tmin=2.*qq endif qmax=p1/4. tmax=p1/2. ml=20*(m-1)+80*(l-1) qli=log(qq/q2min)/log(qmax/q2min)*19.+1. sl=log(s/spmin)/log(epmax/2./spmin)*19.+1. k=int(sl) i=int(qli) if(k.lt.1)k=1 if(i.lt.1)i=1 if(k.gt.18)k=18 if(i.gt.18)i=18 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) wk(2)=sl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) do i1=1,3 do k1=1,3 psbint=psbint+csbor(i+i1-1,k+k1+ml-1,jdis+1) * *wi(i1)*wk(k1) enddo enddo psbint=exp(psbint)*(1./tmin-1./tmax) if(jdis.eq.0.and.qq.gt.q1)then psbint=psbint*sngl(psuds(qq,m1)/psuds(q1,m1)) elseif(jdis.eq.1.and.4.*qq.gt.q1)then psbint=psbint*sngl(psuds(4.*qq,m1)/psuds(q1,m1)) endif if(qq.gt.q2)psbint=psbint*sngl(psuds(qq,l1)/psuds(q2,l1)) return end c----------------------------------------------------------------------- function psborn(q1,q2,qqcut,s,j,l,jdis,md) c----------------------------------------------------------------------- c c hard 2->2 parton scattering born cross-section c including sudakov on both sides c c q1 - virtuality cutoff at current end of the ladder; c q2 - virtuality cutoff at opposite end of the ladder; c qqcut - p_t cutoff for the born process; c s - c.m. energy squared for the scattering; c j - parton type at current end of the ladder (0 - g, 1,2 etc. - q); c l - parton type at opposite end of the ladder (0 - g, 1,2 etc. - q). c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) double precision sud0,psbornd,psuds include 'epos.inc' include 'epos.incsem' psborn=0 if(jdis.eq.0)then qq=max(q1,q2) else qq=max(q1/4.,q2) endif qq=max(qq,qqcut) c if(j.ne.3)then !kkkkkkkkkk charm is 3 ??? if(j.ne.4)then j1=j q2mass=0. else j1=4 q2mass=qcmass**2 endif p1=s/(1.+q2mass/s) if(p1.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/p1)) else tmin=2.*qq ! return !tmin=2.*qq !kkkkkkk !????????????? tp why not ? endif tmax=p1/2. sud0=psuds(q1,j1)*psuds(q2,l) psbornd=0.d0 do i=1,7 do m=1,2 t=2.*tmin/(1.+tmin/tmax-x1(i)*(2*m-3) & *(1.-tmin/tmax)) qt=t*(1.-t/p1) if(qt.lt..999*qq.and.ish.ge.1)write(ifch,*)'psborn:qt,qq,q1,q2' & ,qq,qt,q1,q2 if(jdis.eq.0)then scale=qt else scale=qt*4. endif if(j1.eq.0.and.l.eq.0)then fb=ffborn(s,t, 1. , 0. , 0. , 0. , 0. ) !gg elseif(j1*l.eq.0)then fb=ffborn(s,t, 0. , 1. , 0. , 0. , 0.) !qg elseif(j1.eq.l)then fb=ffborn(s,t, 0. , 0. , 1. , 0. , 0.) !qq elseif(j1.eq.-l)then fb=ffborn(s,t, 0. , 0. , 0. , 1. , 0.) !qq else fb=ffborn(s,t, 0. , 0. , 0. , 0. , 1.) !qq endif fb=fb*pssalf(qt/qcdlam)**2 psbornd=psbornd+dble(a1(i)*fb)*dble(t)**2 & *psuds(scale,j1)*psuds(qt,l) enddo enddo psbornd=psbornd*dble(2.*pi**3)/dble(s)**2/sud0*2 * /2 !CS for parton pair if(md.eq.1)psbornd=psbornd*(1./tmin-1./tmax) psborn=sngl(psbornd) return end c------------------------------------------------------------------------ function psdgh(s,qq,long) c----------------------------------------------------------------------- c psdgh c s - energy squared for the interaction (hadron-hadron), c----------------------------------------------------------------------- common/ar3/ x1(7),a1(7) common /cnsta/ pi,pii,hquer,prom,piom,ainfin include 'epos.incsem' double precision psuds xd=qq/s if(long.eq.0)then psdgh=(psdfh4(xd,q2min,0.,2,1)/2.25+psdfh4(xd,q2min,0.,2,2)/9. * +psdfh4(xd,q2min,0.,2,3)/9.+ * 2.*(psdfh4(xd,q2min,0.,2,-1)+psdfh4(xd,q2min,0.,2,-2)+ * psdfh4(xd,q2min,0.,2,-3))/4.5) * *sngl(psuds(qq,1)/psuds(q2min,1))*4.*pi**2*alfe/qq else psdgh=0. endif dgh=0. if(long.eq.0)then s2min=qq/(1.-q2ini/qq) else s2min=4.*max(q2min,qcmass**2)+qq s2min=s2min/(1.-4.*q2ini/(s2min-qq)) endif xmin=s2min/s if(xmin.lt.1.)then do i=1,7 !numerical integration over z1 do m=1,2 if(long.eq.0)then z1=qq/s+(xmin-qq/s)*((1.-qq/s)/(xmin-qq/s)) * **(.5+(m-1.5)*x1(i)) else z1=.5*(1.+xmin+(2*m-3)*x1(i)*(1.-xmin)) endif call psdint(z1*s,qq,sds,sdn,sdb,sdt,sdr,1,long) call psdint(z1*s,qq,sdsg,sdng,sdbg,sdtg,sdrg,0,long) tu=psdfh4(z1,q2min,0.,2,1) td=psdfh4(z1,q2min,0.,2,2) ts=psdfh4(z1,q2min,0.,2,3) tg=psdfh4(z1,q2min,0.,2,0) tsea=2.*(psdfh4(z1,q2min,0.,2,-1)+psdfh4(z1,q2min,0.,2,-2) * +psdfh4(z1,q2min,0.,2,-3)) gy=sdn*(tu/2.25+td/9.+ts/9.+tsea/4.5)+sdtg*tg/4.5 * +sdt*(tu+td+ts+tsea)/4.5 dgh=dgh+a1(i)*gy*(1.-qq/s/z1) enddo enddo dgh=dgh*log((1.-qq/s)/(xmin-qq/s))*.5 endif psdgh=psdgh+dgh return end c------------------------------------------------------------------------ function psdh(s,qq,iclpro0,long) c----------------------------------------------------------------------- c pshard - hard quark-quark interaction cross-section c s - energy squared for the interaction (hadron-hadron), c iclpro0 - type of the primary hadron (nucleon) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) include 'epos.incsem' include 'epos.inc' double precision psuds xd=qq/s qqs=q2min if(long.eq.0.and.(idisco.eq.0.or.idisco.eq.1))then psdh=(psdfh4(xd,qqs,0.,iclpro0,1)/2.25+ * psdfh4(xd,qqs,0.,iclpro0,2)/9.) * *sngl(psuds(qq,1)/psuds(qqs,1)) * *4.*pi**2*alfe/qq else psdh=0. endif dh=0. if(long.eq.0)then s2min=qq/(1.-q2ini/qq) else s2min=4.*max(q2min,qcmass**2)+qq s2min=s2min/(1.-4.*q2ini/(s2min-qq)) endif xmin=s2min/s if(xmin.lt.1.)then do i=1,7 !numerical integration over z1 do m=1,2 if(long.eq.0)then z1=qq/s+(xmin-qq/s)*((1.-qq/s)/(xmin-qq/s)) * **(.5+(m-1.5)*x1(i)) else z1=.5*(1.+xmin+(2*m-3)*x1(i)*(1.-xmin)) endif call psdint(z1*s,qq,sds,sdn,sdb,sdt,sdr,1,long) tu=psdfh4(z1,qqs,0.,iclpro0,1) td=psdfh4(z1,qqs,0.,iclpro0,2) gy=sdt*(tu+td)/4.5+sdn*(tu/2.25+td/9.) if(long.eq.0)then gy=gy*(1.-qq/s/z1) else gy=gy/z1 endif dh=dh+a1(i)*gy enddo enddo if(long.eq.0)then dh=dh*log((1.-qq/s)/(xmin-qq/s))*.5 else dh=dh*(1.-xmin)*.5 endif endif psdh=psdh+dh return end c------------------------------------------------------------------------ function psdsh(s,qq,iclpro0,dqsh,long) c----------------------------------------------------------------------- c psdsh - semihard interaction eikonal c s - energy squared for the interaction (hadron-hadron), c iclpro0 - hadron class, c z - impact parameter factor, z=exp(-b**2/rp), c iqq - type of the hard interaction (0 - gg, 1 - qg, 2 - gq) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' double precision psuds xd=qq/s if(long.eq.0.and.(idisco.eq.0.or.idisco.eq.1))then dqsh=fzeroSeaZZ(xd,iclpro0)/xd**dels * *rr*4.*pi*gamhad(iclpro0)/ * 4.5*sngl(psuds(qq,1)/psuds(q2min,1)) * *4.*pi**2*alfe/qq else dqsh=0. endif if(long.eq.0)then s2min=qq/(1.-q2ini/qq) else s2min=qq+4.*max(q2min,qcmass**2) endif xmin=s2min/s xmin=xmin**(delh-dels) dsh=0. if(xmin.lt.1.)then c numerical integration over z1 do i=1,7 do m=1,2 z1=(.5*(1.+xmin-(2*m-3)*x1(i)*(1.-xmin)))**(1./ * (delh-dels)) call psdint(z1*s,qq,sdsg,sdng,sdbg,sdtg,sdrg,0,long) call psdint(z1*s,qq,sdsq,sdnq,sdbq,sdtq,sdrq,1,long) dsh=dsh+a1(i)/z1**delh*(sdtg*fzeroGluZZ(z1,iclpro0) * +(sdtq+sdnq)*fzeroSeaZZ(z1,iclpro0)) enddo enddo dsh=dsh*(1.-xmin)/(delh-dels)/2. endif psdsh=dqsh+dsh*rr*4.*pi*gamhad(iclpro0)/4.5 !*ccorr(1,1,iclpro0) return end c------------------------------------------------------------------------ function psdsh1(s,qq,iclpro0,dqsh,long) c----------------------------------------------------------------------- c psdsh - semihard interaction eikonal c s - energy squared for the interaction (hadron-hadron), c iclpro0 - hadron class, c z - impact parameter factor, z=exp(-b**2/rp), c iqq - type of the hard interaction (0 - gg, 1 - qg, 2 - gq) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' c double precision psuds psdsh1=0. !only for plotting in psaevp : not use any more c$$$ xd=qq/s c$$$ write(ifch,*)'Psdsh1 for xd,qq',xd,qq c$$$ if(long.eq.0.and.(idisco.eq.0.or.idisco.eq.1))then c$$$ dqsh=psftist(xd)/4.5*sngl(psuds(qq,1)/psuds(q2min,1)) c$$$ * *4.*pi**2*alfe/qq c$$$ else c$$$ dqsh=0. c$$$ endif c$$$ c$$$ if(long.eq.0)then c$$$ s2min=qq/(1.-q2ini/qq) c$$$ else c$$$ s2min=qq+4.*max(q2min,qcmass**2) c$$$ endif c$$$ xmin=s2min/s c$$$ xmin=xmin**(delh-dels) c$$$ dsh=0. c$$$ if(xmin.lt.1.)then c$$$c numerical integration over z1 c$$$ do i=1,7 c$$$ do m=1,2 c$$$ z1=(.5*(1.+xmin-(2*m-3)*x1(i)*(1.-xmin)))**(1./ c$$$ * (delh-dels)) c$$$ call psdint(z1*s,qq,sdsg,sdng,sdbg,sdtg,sdrg,0,long) c$$$ call psdint(z1*s,qq,sdsq,sdnq,sdbq,sdtq,sdrq,1,long) c$$$ dsh=dsh+a1(i)/z1**delh*(sdtg*psftigt(z1) c$$$ * +(sdtq+sdnq)*psftist(z1))*z1**dels c$$$ enddo c$$$ enddo c$$$ dsh=dsh*(1.-xmin)/(delh-dels)/2. c$$$ endif c$$$ psdsh1=dqsh+dsh/4.5 return end c------------------------------------------------------------------------ function psev0(q1,qq,xx,j) c----------------------------------------------------------------------- double precision xx,psuds,psev00 common /ar3/ x1(7),a1(7) include 'epos.incsem' psev0=0. psev00=0.d0 do i=1,7 do m=1,2 if(j.eq.1)then !g->q qi=2.*q1/(1.+q1/qq+(1.-q1/qq)*(2.*m-3.)*x1(i)) psev00=psev00+a1(i)*qi*psuds(qi,0)/psuds(qi,1) * /log(qi*(1.d0-xx)/qcdlam) else !q->g qi=(.5*(q1+qq+(q1-qq)*(2.*m-3.)*x1(i))) psev00=psev00+a1(i)/qi/psuds(qi,0)*psuds(qi,1) * /log(qi*(1.d0-xx)/qcdlam) endif enddo enddo if(j.eq.1)then psev00=psev00*(1.d0/q1-1.d0/qq)*psuds(qq,1)/psuds(qq,0)/2.d0 else psev00=psev00*(qq-q1)*psuds(qq,0)/psuds(qq,1)/2.d0 endif psev00=psev00/log(log(qq*(1.d0-xx)/qcdlam) & /log(q1*(1.d0-xx)/qcdlam)) psev0=sngl(psev00) return end c------------------------------------------------------------------------ function psev(q1,qq,xx,j,l,n) c------------------------------------------------------------------------ double precision xx,zmax,zmax1,zmin,zmin1,z,psuds,fk,fq &,fz1,fz2 common /ar3/ x1(7),a1(7) include 'epos.incsem' zmax=1.d0-q2ini/qq zmin=xx/zmax qmax=qq fz1=0.d0 fz2=0.d0 if(zmin.lt.zmax)then if(zmin.lt..1d0)then zmax1=min(.1d0,zmax) do i=1,7 do m=1,2 if(n.eq.2)then z=xx+(zmin-xx)*((zmax1-xx)/(zmin-xx))**(.5+(m-1.5)*x1(i)) elseif(j.eq.1)then z=zmin*(zmax1/zmin)**(.5+(m-1.5)*x1(i)) else z=(.5d0*(zmax1+zmin+(zmax1-zmin)*(2*m-3)*x1(i))) endif qmin=max(q2ini/(1.d0-xx/z),q2ini/(1.d0-z)) qmin=max(qmin,q1) do k=1,2 fq=0.d0 do i1=1,7 do m1=1,2 if(n.eq.2)then qi=qmin*(qmax/qmin)**(.5+x1(i1)*(m1-1.5)) else qi=(.5*(qmax+qmin+(qmax-qmin)*(2.*m1-3.)*x1(i1))) endif if(j.eq.3.and.k.eq.1)then fk=0.d0 else if(n.eq.2)then fk=dble(psevi0(q1,qi,xx/z,min(2,j),k)) else fk=dble(psevi(q1,qi,xx/z,j,k)/qi) endif endif qt=qi*(1.d0-z) fq=fq+a1(i1)*fk/psuds(qi,l-1)*pssalf(qt/qcdlam) enddo enddo if(n.eq.2)then fq=fq*log(qmax/qmin)*(1.d0-xx/z) elseif(j.eq.1)then fq=fq*(qmax-qmin) else fq=fq*(qmax-qmin)/z endif fz1=fz1+a1(i)*fq*psfap(z,k-1,l-1) enddo enddo enddo if(n.eq.2)then fz1=fz1*log((zmax1-xx)/(zmin-xx))/4. elseif(j.eq.1)then fz1=fz1*log(zmax1/zmin)/4. else fz1=fz1*(zmax1-zmin)/4. endif endif if(zmax.gt..1d0)then zmin1=max(.1d0,zmin) do i=1,7 do m=1,2 z=1.d0-(1.d0-zmax)*((1.d0-zmin1)/(1.d0-zmax))** * (.5+x1(i)*(m-1.5)) qmin=max(q2ini/(1.d0-z),q2ini/(1.d0-xx/z)) qmin=max(qmin,q1) do k=1,2 fq=0. do i1=1,7 do m1=1,2 if(n.eq.2)then qi=qmin*(qmax/qmin)**(.5+x1(i1)*(m1-1.5)) else qi=(.5*(qmax+qmin+(qmax-qmin)*(2.*m1-3.)*x1(i1))) endif if(j.eq.3.and.k.eq.1)then fk=0.d0 else if(n.eq.2)then fk=dble(psevi0(q1,qi,xx/z,min(2,j),k)) else fk=dble(psevi(q1,qi,xx/z,j,k)/qi) endif endif qt=qi*(1.d0-z) fq=fq+a1(i1)*fk/psuds(qi,l-1)*pssalf(qt/qcdlam) enddo enddo if(n.eq.2)then fq=fq*log(qmax/qmin) else fq=fq*(qmax-qmin) endif fz2=fz2+a1(i)*fq*psfap(z,k-1,l-1)*(1.d0/z-1.d0) enddo enddo enddo fz2=fz2*log((1.d0-zmin1)/(1.d0-zmax))/4. endif endif psev=sngl((fz1+fz2)*psuds(qq,l-1)) return end c------------------------------------------------------------------------ function psevi0(q1,qq,xx,m,l) c------------------------------------------------------------------------ double precision xx,xmax,psuds dimension wi(3),wj(3),wk(3) common /psar2/ edmax,epmax common /psar31/ evk0(21,21,54) include 'epos.inc' include 'epos.incsem' xmax=1.d0-2.d0*q2ini/epmax qmin=max(1.d0*q2min,q2ini/(1.d0-xx)) qm1=max(q1,qmin) if(qq.gt..5001*epmax.and.ish.ge.1)then write(ifch,*)'0-extrap.:q1,qq,epmax,xx,m,l:',q1,qq,epmax,xx,m,l c stop endif if(xx.ge.xmax.or.qq.le.1.000*qm1)then psevi0=0. c write (*,*)'xx,xmax,qq,qm1,qmin,q1',xx,xmax,qq,qm1,qmin,q1 return endif if(m.eq.l)then psevi0=1. else if(xx.lt..1d0)then yx=log(10.d0*xx)+13. k=int(yx) if(k.gt.11)k=11 if(k.lt.1)k=1 elseif(xx.lt..9d0)then yx=10.*xx+12. k=int(yx) if(k.gt.19)k=19 else yx=log(10.d0*(1.d0-xx))/log(10.d0*(1.d0-xmax))*6.+21 k=int(yx) if(k.gt.25)k=25 endif wk(2)=yx-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) qli=log(qq/qmin)/log(.5*epmax/qmin)*20.+1. qlj=log(qm1/qmin)/log(qq/qmin)*20.+1. i=int(qli) if(i.gt.19)i=19 if(i.lt.1)i=1 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) j=int(qlj) if(j.lt.1)j=1 if(j.gt.19)j=19 wj(2)=qlj-j wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) psevi0=0. do i1=1,3 do j1=1,3 do k1=1,3 psevi0=psevi0+evk0(i+i1-1,j+j1-1,k+k1-1+27*(m-1)) * *wi(i1)*wj(j1)*wk(k1) enddo enddo enddo psevi0=exp(psevi0) endif psevi0=psevi0*psfap(xx,m-1,l-1)*log(log(qq*(1.d0-xx)/qcdlam) */log(qm1*(1.d0-xx)/qcdlam))*sngl(psuds(qq,m-1)/psuds(q1,m-1))/4.5 return end c------------------------------------------------------------------------ function psevi(q1,qq,xx,m,l) c------------------------------------------------------------------------ c m l: 1 1 ... gluon -> gluon c 2 1 ... quark -> gluon c 1 2 ... gluon -> quark c 3 2 ... quark -> quark non singlet c 2 2 ... quark -> quark all c singlet = all - non singlet c----------------------------------------------------------------------- double precision xx,xmax,psuds dimension wi(3),wj(3),wk(3) common /psar2/ edmax,epmax common /psar32/ evk(21,21,135) include 'epos.inc' include 'epos.incsem' psevi=0. xmax=1.d0-2.d0*q2ini/epmax if(qq.gt..5001*epmax.and.ish.ge.1)then write(ifch,*)'1-extrap.:q1,qq,epmax,xx,m,l:',q1,qq,epmax,xx,m,l c stop endif qmin=max(1.d0*q2min,q2ini/(1.d0-xx)) qm1=max(q1,qmin) if(xx.ge.xmax.or.qq.le.1.0001*qm1)then return endif qmin1=max(1.d0*qmin,q2ini/(1.d0-dsqrt(xx))) if(qq.le.1.0001*qmin1)then psevi=psevi0(q1,qq,xx,min(m,2),l) return endif if(xx.lt..1d0)then yx=log(10.d0*xx)+13. k=int(yx) if(k.gt.11)k=11 if(k.lt.1)k=1 elseif(xx.lt..9d0)then yx=10.*xx+12. k=int(yx) if(k.gt.19)k=19 else yx=log(10.d0*(1.d0-xx))/log(10.d0*(1.d0-xmax))*6.+21 k=int(yx) if(k.gt.25)k=25 endif wk(2)=yx-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) qli=log(qq/qmin)/log(.5*epmax/qmin)*20.+1. qlj=log(qm1/qmin)/log(qq/qmin)*20.+1. i=int(qli) if(i.lt.1)i=1 if(i.gt.19)i=19 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) j=int(qlj) if(j.lt.1)j=1 if(j.gt.19)j=19 wj(2)=qlj-j wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) do i1=1,3 do j1=1,3 do k1=1,3 if(m.eq.3)then k2=k+k1-1+108 else k2=k+k1-1+27*(m-1)+54*(l-1) endif psevi=psevi+evk(i+i1-1,j+j1-1,k2) * *wi(i1)*wj(j1)*wk(k1) enddo enddo enddo psevi=exp(psevi)*psfap(xx,m-1,l-1)*log(log(qq*(1.d0-xx)/qcdlam) */log(qm1*(1.d0-xx)/qcdlam))/4.5 if(q1.lt.qm1)psevi=psevi*sngl(psuds(qm1,m-1)/psuds(q1,m-1)) return end c------------------------------------------------------------------------ function psjci(q1,s,l1) c----------------------------------------------------------------------- c psjci - inclusive ordered ladder cross-section interpolation for c-quark c q1 - virtuality cutoff at current end of the ladder c s - total c.m. energy squared for the ladder, c l1 - parton type at current end of the ladder (0-g, 1,2,etc.-q) c----------------------------------------------------------------------- dimension wi(3),wk(3) common /psar2/ edmax,epmax common /psar23/ cschar(20,20,2) include 'epos.incsem' psjci=0. q2mass=qcmass**2 spmin=4.*q2min+q2mass qq=q1 s2min=4.*qq+q2mass if(s.le.s2min)return smins=s2min/(1.-q2ini/q1) c if(s.le.smins)goto 1 if(s.le.smins.or.qq.le.q2min)goto 1 !??????? ctp070618 p1=s/(1.+q2mass/s) if(p1.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/p1)) else tmin=2.*qq endif tmax=p1/2. qmax=p1/4. l=min(1,iabs(l1))+1 qli=log(qq/q2min)/log(qmax/q2min)*19.+1. sl=log(s/spmin)/log(epmax/2./spmin)*19.+1. k=int(sl) i=int(qli) if(i.lt.1)i=1 if(k.gt.18)k=18 if(i.gt.18)i=18 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) wk(2)=sl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) do i1=1,3 do k1=1,3 psjci=psjci+cschar(i+i1-1,k+k1-1,l)*wi(i1)*wk(k1) enddo enddo psjci=exp(psjci)*(1./tmin-1./tmax) return 1 psjci=psbint(q2min,q1,0.,s,4,l1,0) return end c----------------------------------------------------------------------- function psjct(s,l) c----------------------------------------------------------------------- c psjct - unordered ladder cross-section for c-quark c s - c.m. energy squared for the scattering; c l - parton type at opposite end of the ladder (0 - g, 1,2 etc. - q). c----------------------------------------------------------------------- double precision xx,zmax,qmax,qmin,qi,zmin,fsj,z,s2,sj common /ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' psjct=0. q2mass=qcmass**2 zmax=dble(s)/(dble(s)+dble(5.*q2mass)) qmax=zmax**2*dble(q2mass)/(1.d0-zmax) qmin=dble(q2min) if(qmax.lt.qmin.and.ish.ge.1)write(ifch,*)'psjct:qmin,qmax' * ,qmin,qmax do i=1,7 do m=1,2 qi=2.d0*qmin/(1.d0+qmin/qmax+dble((2*m-3)*x1(i)) * *(1.d0-qmin/qmax)) zmax=(2.d0/(1.d0+dsqrt(1.d0+4.d0*dble(q2mass)/qi)))**delh zmin=(5.d0*qi/dble(s))**delh fsj=0.d0 if(zmax.lt.zmin.and.ish.ge.1)write(ifch,*)'psjct:zmin,zmax' * ,zmin,zmax do i1=1,7 do m1=1,2 z=(.5d0*(zmax+zmin+dble((2*m1-3)*x1(i1)) * *(zmax-zmin)))**(1./delh) s2=z*dble(s)-qi xx=z sj=dble(psjti(sngl(qi),q2min,sngl(s2),0,l,0)*psfap(xx,1,0))*z fsj=fsj+dble(a1(i1))*sj*dble(pssalf(sngl(qi)/qcdlam))/z**delh enddo enddo fsj=fsj*(zmax-zmin) psjct=psjct+a1(i)*sngl(fsj*qi) enddo enddo psjct=psjct*sngl(1./qmin-1./qmax)/delh/4. return end c------------------------------------------------------------------------ function psjet1(q1,q2,qqcut,s,j,l,jdis) c----------------------------------------------------------------------- c psjet1 - ordered parton ladder cross-section c q1 - virtuality cutoff at current end of the ladder; c q2 - virtuality cutoff at opposite end of the ladder; c qqcut - p_t cutoff for the born process; c s - c.m. energy squared for the scattering; c j - parton type at current end of the ladder (0 - g, 1,2 etc. - q); c l - parton type at opposite end of the ladder (0 - g, 1,2 etc. - q). c----------------------------------------------------------------------- double precision xx,z,qq,xmax,xmin,s2min,smin,p1,q2ms,q2inis,xmin1 *,sh,qtmin,t,xmax1,fx1,fx2,psuds common /ar3/ x1(7),a1(7) common /ar9/ x9(3),a9(3) include 'epos.inc' include 'epos.incsem' psjet1=0. if(jdis.eq.0)then qq=dble(max(q1,q2)) elseif(jdis.eq.1)then qq=dble(max(q1/4.,q2)) else qq=dble(max(q1,q2/4.)) endif qq=max(qq,dble(qqcut)) if(l.ne.3)then q2mass=0. else q2mass=qcmass**2 endif s2min=dble(q2mass)+4.d0*qq if(jdis.eq.0.or.jdis.eq.2)then smin=s2min/(1.d0-dble(q2ini)/qq) else smin=s2min/(1.d0-dble(q2ini)/qq/4.d0) endif if(dble(s).le.smin)return q2ms=dble(q2mass)/dble(s) q2inis=dble(q2ini)/dble(s) p1=dble(s)/(1.d0+q2ms) if(jdis.eq.0.or.jdis.eq.2)then xmax=.5d0*(1.d0+q2ms)+dsqrt(.25d0*(1.d0-q2ms)**2-4.d0*q2inis) else xmax=.5d0*(1.+q2ms)+dsqrt(.25d0*(1.-q2ms)**2-q2inis) endif xmin=max(1.d0+q2ms-xmax,s2min/dble(s)) if(xmin.ge.xmax.and.ish.ge.1)then write(ifch,*)'jti1,xmin,xmax',xmin,xmax c return endif fx1=0.d0 fx2=0.d0 if(xmax.gt..8d0)then xmin1=max(xmin,.8d0) do i=1,3 do m=1,2 z=1.d0-(1.d0-xmax)*((1.d0-xmin1)/(1.d0-xmax))** * (.5d0+dble(x9(i)*(m-1.5))) sh=z*dble(s) xx=z p1=sh/(1.d0+dble(q2mass)/sh) if(jdis.eq.0.or.jdis.eq.2)then qtmin=max(qq,dble(q2ini)/(1.d0-z)) else qtmin=max(qq,dble(q2ini)/(1.d0-z)/4.d0) endif tmin=2.d0*dble(qtmin)/(1.d0+dsqrt(1.d0-4.d0*dble(qtmin)/p1)) tmax=p1/2.d0 ft=0. if(tmin.ge.tmax.and.ish.ge.1)write(ifch,*)'psjet1:tmin,tmax' * ,tmin,tmax do i1=1,3 do m1=1,2 t=2.d0*tmin/(1.d0+tmin/tmax-dble(x9(i1)*(2*m1-3)) & *(1.d0-tmin/tmax)) qt=sngl(t*(1.d0-t/p1)) c if(qt.lt.qtmin)write (*,*)'psjet1:qt,qq',qt,qq if(jdis.eq.0)then scale1=qt scale2=qt elseif(jdis.eq.1)then scale1=qt*4. scale2=qt elseif(jdis.eq.2)then scale1=qt scale2=qt*4. endif fb=0. do n=1,3 fb=fb+psjetj(q1,scale1,sngl(t),xx,sngl(sh),j,l,n) enddo ft=ft+a9(i1)*fb*pssalf(qt/qcdlam)**2*sngl(t**2 * *psuds(scale2,l)) enddo enddo fx1=fx1+dble(a9(i)*ft)*(1.d0/tmin-1.d0/tmax)/sh**2*(1.d0-z) enddo enddo fx1=fx1*dlog((1.d0-xmin1)/(1.d0-xmax)) endif if(xmin.lt..8d0)then xmax1=min(xmax,.8d0)**(-delh) xmin1=xmin**(-delh) do i=1,3 do m=1,2 z=(.5d0*(xmax1+xmin1+(xmin1-xmax1)*dble((2*m-3)*x9(i)))) * **(-1./delh) sh=z*dble(s) xx=z p1=sh/(1.d0+dble(q2mass)/sh) if(jdis.eq.0.or.jdis.eq.2)then qtmin=max(qq,dble(q2ini)/(1.d0-z)) else qtmin=max(qq,dble(q2ini)/(1.d0-z)/4.d0) endif tmin=2.d0*dble(qtmin)/(1.d0+dsqrt(1.d0-4.d0*dble(qtmin)/p1)) tmax=p1/2.d0 ft=0. if(tmin.ge.tmax.and.ish.ge.1)write(ifch,*)'psjet1:tmin,tmax' & ,tmin,tmax do i1=1,3 do m1=1,2 t=2.d0*tmin/(1.d0+tmin/tmax-dble(x9(i1)*(2*m1-3)) & *(1.d0-tmin/tmax)) qt=sngl(t*(1.d0-t/p1)) if(qt.lt.sngl(qtmin).and.ish.ge.1)write(ifch,*)'psjet1:qt,qq' & ,qt,qq if(jdis.eq.0)then scale1=qt scale2=qt elseif(jdis.eq.1)then scale1=qt*4. scale2=qt elseif(jdis.eq.2)then scale1=qt scale2=qt*4. endif fb=0. do n=1,3 fb=fb+psjetj(q1,scale1,sngl(t),xx,sngl(sh),j,l,n) enddo ft=ft+a9(i1)*fb*pssalf(qt/qcdlam)**2*sngl(t**2 * *psuds(scale2,l)) enddo enddo fx2=fx2+dble(a9(i)*ft)*(1.d0/tmin-1.d0/tmax)/sh**2*z**(1.+delh) enddo enddo fx2=fx2*(xmin1-xmax1)/dble(delh) endif psjet1=sngl((fx1+fx2)/psuds(q2,l))*pi**3*2 * /2 !CS for parton pair return end c----------------------------------------------------------------------- function psjet(q1,q2,qqcut,s,j,l,jdis) c----------------------------------------------------------------------- c parton ladder cross-section c with at least one emission on each side c c q1 - virtuality cutoff at current end of the ladder; c q2 - virtuality cutoff at opposite end of the ladder; c qqcut - p_t cutoff for the born process; c s - c.m. energy squared for the scattering; c j - parton type at current end of the ladder (0 - g, 1,2 etc. - q); c l - parton type at opposite end of the ladder (0 - g, 1,2 etc. - q). c----------------------------------------------------------------------- double precision xx1,xx2,qq,s2min,xmin,xmax,xmin1,xmax1,t,tmin *,tmax,sh,z,qtmin,ft,fx1,fx2 common /ar3/ x1(7),a1(7) common /ar9/ x9(3),a9(3) include 'epos.inc' include 'epos.incsem' common/ccctest/iiitest iiitest=0 psjet=0. if(jdis.eq.0)then qq=dble(max(q1,q2)) else qq=dble(max(q1/4.,q2)) endif qq=max(qq,dble(qqcut)) s2min=4.d0*qq if(dble(s).le.s2min/(1.d0-dble(q2ini)/qq)**2)return !kkkkkkk phi=acos(1.-54.*q2ini/s)/3. zmax=(1.+2.*cos(phi))**2/9. !kkkkkkk zmin=(1.-cos(phi)+sqrt(3.d0)*sin(phi))/3. !kkkkkkk zmin=max(zmin**2,sngl(s2min/dble(s))) if(zmin.gt.zmax.and.ish.ge.1)write(ifch,*)'psjet:zmin,zmax' * ,zmin,zmax zmin=zmin**(-delh) zmax=zmax**(-delh) do i=1,3 do m=1,2 z=dble(.5*(zmax+zmin+(zmin-zmax)*(2*m-3)*x9(i)))**(-1./delh) xmin=dsqrt(z) sh=z*dble(s) qtmin=max(qq,dble(q2ini)/(1.d0-dsqrt(z))) tmin=max(0.d0,1.d0-4.d0*qtmin/sh) tmin=2.d0*qtmin/(1.d0+dsqrt(tmin)) !kkkkkkk tmax=sh/2.d0 ft=0.d0 c if(tmin.gt.tmax)write (*,*)'psjet:tmin,tmax',tmin,tmax do i1=1,3 do m1=1,2 t=2.d0*tmin/(1.d0+tmin/tmax-dble(x9(i1)*(2*m1-3)) & *(1.d0-tmin/tmax)) qt=t*(1.d0-t/sh) c if(qt.lt.qtmin)write (*,*)'psjet:qt,qq',qt,qq xmax=1.d0-q2ini/qt xmin=max(dsqrt(z),z/xmax) !xm>xp !!! if(xmin.gt.xmax.and.ish.ge.1)write(ifch,*)'psjet:xmin,xmax' * ,xmin,xmax fx1=0.d0 fx2=0.d0 if(xmax.gt..8d0)then xmin1=max(xmin,.8d0) do i2=1,3 do m2=1,2 xx1=1.d0-(1.d0-xmax)*((1.d0-xmin1)/(1.d0-xmax))** * dble(.5+x9(i2)*(m2-1.5)) xx2=z/xx1 fb=0. fb=fb+psjeti(q1,q2,qt,sngl(t),xx1,xx2,sngl(sh) * ,j,l,jdis) * +psjeti(q1,q2,qt,sngl(t),xx2,xx1,sngl(sh) * ,j,l,jdis) fx1=fx1+dble(a9(i2)*fb)*(1.d0/xx1-1.d0) * *pssalf(qt/qcdlam)**2 enddo enddo fx1=fx1*dlog((1.d0-xmin1)/(1.d0-xmax)) endif if(xmin.lt..8d0)then xmax1=min(xmax,.8d0) do i2=1,3 do m2=1,2 xx1=xmin*(xmax1/xmin)**dble(.5+x9(i2)*(m2-1.5)) xx2=z/xx1 fb=0. fb=fb+psjeti(q1,q2,qt,sngl(t),xx1,xx2,sngl(sh) * ,j,l,jdis) * +psjeti(q1,q2,qt,sngl(t),xx2,xx1,sngl(sh) * ,j,l,jdis) fx2=fx2+dble(a9(i2))*fb*pssalf(qt/qcdlam)**2 enddo enddo fx2=fx2*dlog(xmax1/xmin) endif ft=ft+dble(a9(i1))*(fx1+fx2)*t**2 enddo enddo ft=ft*(1.d0/tmin-1.d0/tmax) psjet=psjet+a9(i)*sngl(ft*z**(1.+delh)/sh**2) enddo enddo psjet=psjet*(zmin-zmax)/delh*pi**3 * /2. !CS for parton pair return end c----------------------------------------------------------------------- function pijet(ii,qi,qq,sk,m1,l1) !polynomial interpol of jet CS c----------------------------------------------------------------------- c ii ..... type of CS (2 = bothside, 1 = oneside, 0 = no emission, Born) c qi ..... virtuality cutoff at current end of the ladder c qq ..... virtuality cutoff of Born c sk ..... energy squared for the scattering c m1,l1 .. parton types c----------------------------------------------------------------------- include 'epos.incsem' common/psar2/edmax,epmax common/tabcsjet/ksmax,iqmax,jqmax,csjet(0:2,2,20,20,20,3,2) real wi(3),wj(3),wk(3) common/cpijet/npijet data npijet/0/ npijet=npijet+1 if(npijet.eq.1)call MakeCSTable if(m1.ne.0.and.m1.eq.l1)then m=2 l=2 elseif(m1.ne.0.and.m1.eq.-l1)then m=3 l=1 elseif(m1.ne.0.and.l1.ne.0.and.m1.ne.l1)then m=3 l=2 else m=min(1,iabs(m1))+1 l=min(1,iabs(l1))+1 endif qqmin=min(qi,qq) qmax=sk/4. spmin=4.*q2min spmed=spmin*(epmax/2./spmin)**(1./(ksmax-1.)) if(sk.le.spmed)then kk=2 spmax=spmed else kk=1 spmax=epmax/2. endif qli=1.+log(qi/q2min)/log(qmax/q2min)*(iqmax-1) qlj=1.+log(qq/qqmin)/log(qmax/qqmin)*(jqmax-1) sl= 1.+log(sk/spmin)/log(spmax/spmin)*(ksmax-1) k=int(sl) i=int(qli) j=int(qlj) if(k.lt.1)k=1 if(j.lt.1)j=1 if(i.lt.1)i=1 if(k.gt.(ksmax-2))k=ksmax-2 if(i.gt.(iqmax-2))i=iqmax-2 if(j.gt.(jqmax-2))j=jqmax-2 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) wj(2)=qlj-j wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) wk(2)=sl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) pijet=0 do i1=1,3 do j1=1,3 do k1=1,3 pijet=pijet+csjet(ii,kk,k+k1-1,i+i1-1,j+j1-1,m,l) * *wi(i1)*wj(j1)*wk(k1) enddo enddo enddo ! if(ii.eq.2)print*,' ' ! write(*,'(i2,f6.0,i2,3x,3(2f5.2,2x),f5.2)') !* ii,sk,k,(wk(kk1),csjet(ii,kk,k+kk1-1,1,1,m,l),kk1=1,3) ,pijet end c----------------------------------------------------------------------- subroutine MakeCSTable !tabulates psjet c----------------------------------------------------------------------- c last two indices of table: parton types c 1 1 ... gg c 1 2 ... gq c 2 1 ... qg c 2 2 ... qq c 3 1 ... qa c 3 2 ... qq' c----------------------------------------------------------------------- include 'epos.incsem' common/psar2/edmax,epmax common/tabcsjet/ksmax,iqmax,jqmax,csjet(0:2,2,20,20,20,3,2) write (*,'(a,$)')'(CS table' ksmax=10 iqmax=3 jqmax=3 spmin=4.*q2min do kk=1,2 if(kk.eq.1)spmax=epmax/2. if(kk.eq.2)spmax=spmin*(epmax/2./spmin)**(1./(ksmax-1.)) do m=1,3 !parton type at upper end of the ladder write (*,'(a,$)')'.' do l=1,2 !parton type at lower end of the ladder m1=m-1 l1=l-1 if(m.eq.3.and.l.eq.1)l1=-m1 do k=1,ksmax sk=spmin*(spmax/spmin)**((k-1.)/(ksmax-1.)) qmax=sk/4. do i=1,iqmax qi=q2min*(qmax/q2min)**((i-1.)/(iqmax-1.)) do j=1,jqmax qq=qi*(qmax/qi)**((j-1.)/(jqmax-1.)) !write(*,'(i3,4f8.3,2i4,$)')j, qi,q2min,qq,sk,m1,l1 csjet(2,kk,k,i,j,m,l)= psjet(qi,q2min,qq,sk,m1,l1,0) csjet(1,kk,k,i,j,m,l)=psjet1(qi,q2min,qq,sk,m1,l1,0) csjet(0,kk,k,i,j,m,l)=psborn(qi,q2min,qq,sk,m1,l1,0,1) ! if(i.eq.1.and.j.eq.1.and.m.eq.1.and.l.eq.1) ! *write(*,'(2f8.2,f13.2,2i3,3x,i3,3f8.3)') ! * qi,qq,sk,m1,l1,k,csjet(2,kk,k,i,j,m,l) ! * ,csjet(1,kk,k,i,j,m,l),csjet(0,kk,k,i,j,m,l) enddo enddo enddo enddo enddo enddo write (*,'(a,$)')'done)' end c----------------------------------------------------------------------- function psjeti(q1,q2,qt,t,xx1,xx2,s,j,l,jdis) c----------------------------------------------------------------------- c c E~qcd_ji * E~qcd_lk * B_ik c c B_ik = psbori = contribution to Born xsection: c dsigmaBorn/d2pt/dy c = s/pi * delta(s+t+u) * 2*pi*alpha**2 /s**2 * B_ik c c E~qcd: at least one emission c c q1 - virtuality cutoff at current end of the ladder c q2 - virtuality cutoff at opposite end of the ladder c xx1 - feinman x for the first parton for the born process c xx2 - feinman x for the second parton for the born process c s - c.m. energy squared for the born scattering c t - invariant variable for the scattering |(p1-p3)**2|, c j - parton type at current end of the ladder (0 - g, 1,-1,2,... - q) c l - parton type at opposite end of the ladder (0 - g, 1,-1,2,... - q) c----------------------------------------------------------------------- c reminder c psevi: 1 1 ... gluon -> gluon c 2 1 ... quark -> gluon c 1 2 ... gluon -> quark c 3 2 ... quark -> quark non singlet c 2 2 ... quark -> quark all c singlet = all - non singlet c----------------------------------------------------------------------- double precision xx1,xx2 include 'epos.incsem' common/ccctest/iiitest if(jdis.eq.0)then scale=qt else scale=qt*4. endif if(j.eq.0.and.l.eq.0)then ! gluon-gluon ---> akg1=psevi(q1,scale,xx1,1,1) !gluon contribution akg2=psevi(q2,qt,xx2,1,1) !gluon contribution aks1=psevi(q1,scale,xx1,1,2)/naflav/2. !singlet contribution per quark aks2=psevi(q2,qt,xx2,1,2)/naflav/2. !singlet contribution per quark psjeti=ffborn(s,t,akg1*akg2 * ,(akg1*aks2+aks1*akg2)*naflav*2. !ccccc * ,aks1*aks2*naflav*2. * ,aks1*aks2*naflav*2. * ,aks1*aks2*naflav*2.*(naflav-1)*2. *) elseif(j.eq.0)then ! gluon-quark ---> akg1=psevi(q1,scale,xx1,1,1) !gluon contribution akg2=psevi(q2,qt,xx2,2,1) !gluon contribution aks1=psevi(q1,scale,xx1,1,2)/naflav/2. !singlet contribution akns2=psevi(q2,qt,xx2,3,2) !nonsinglet contribution aks2=(psevi(q2,qt,xx2,2,2)-akns2)/naflav/2. !singlet contribution psjeti=ffborn(s,t,akg1*akg2 * ,(akg1*(akns2+aks2*naflav*2.)+aks1*akg2*naflav*2.) * ,aks1*(akns2+aks2*naflav*2.) * ,aks1*(akns2+aks2*naflav*2.) * ,aks1*(akns2+aks2*naflav*2.)*(naflav-1)*2.) elseif(l.eq.0)then ! quark-gluon ---> akg1=psevi(q1,scale,xx1,2,1) !gluon contribution akg2=psevi(q2,qt,xx2,1,1) !gluon contribution akns1=psevi(q1,scale,xx1,3,2) !nonsinglet contribution aks1=(psevi(q1,scale,xx1,2,2)-akns1)/naflav/2. !singlet contribution aks2=psevi(q2,qt,xx2,1,2)/naflav/2. !singlet contribution psjeti=ffborn(s,t,akg1*akg2 * ,(akg2*(akns1+aks1*naflav*2.)+aks2*akg1*naflav*2.) * ,aks2*(akns1+aks1*naflav*2.) * ,aks2*(akns1+aks1*naflav*2.) * ,aks2*(akns1+aks1*naflav*2.)*(naflav-1)*2.) else ! quark-quark ---> akg1=psevi(q1,scale,xx1,2,1) !gluon contribution akg2=psevi(q2,qt,xx2,2,1) !gluon contribution akns1=psevi(q1,scale,xx1,3,2) !nonsinglet contribution aks1=(psevi(q1,scale,xx1,2,2)-akns1)/naflav/2.!singlet contribution akns2=psevi(q2,qt,xx2,3,2) !nonsinglet contribution aks2=(psevi(q2,qt,xx2,2,2)-akns2)/naflav/2.!singlet contribution if(j.eq.l)then psjeti=ffborn(s,t,akg1*akg2 * ,(akg2*(akns1+aks1*naflav*2.)+akg1*(akns2+aks2*naflav*2.)) * ,((akns1+aks1)*(akns2+aks2)+aks1*aks2*(2.*naflav-1.)) * ,(akns1*aks2+akns2*aks1+aks1*aks2*naflav*2.) * ,(akns1*aks2+akns2*aks1+aks1*aks2*naflav*2.)*(naflav-1)*2.) elseif(j.eq.-l)then psjeti=ffborn(s,t,akg1*akg2 * ,(akg2*(akns1+aks1*naflav*2.)+akg1*(akns2+aks2*naflav*2.)) * ,(akns1*aks2+akns2*aks1+aks1*aks2*naflav*2.) * ,((akns1+aks1)*(akns2+aks2)+aks1*aks2*(2.*naflav-1.)) * ,(akns1*aks2+akns2*aks1+aks1*aks2*naflav*2.)*(naflav-1)*2.) else !j.ne.l,-l psjeti=ffborn(s,t,akg1*akg2 * ,(akg2*(akns1+aks1*naflav*2.)+akg1*(akns2+aks2*naflav*2.)) * ,(akns1*aks2+akns2*aks1+aks1*aks2*naflav*2.) * ,(akns1*aks2+akns2*aks1+aks1*aks2*naflav*2.) * ,(akns1*akns2+akns1*aks2*(naflav-1)*2. * +akns2*aks1*(naflav-1)*2.+aks1*aks2*naflav*2.*(naflav-1)*2.)) endif endif return end c----------------------------------------------------------------------- function psjetj(q1,scale,t,xx,s,j,l,n) c----------------------------------------------------------------------- c psjetj - integrand for the ordered ladder cross-section c q1 - virtuality cutoff at current end of the ladder, c scale - born process scale, c t - invariant variable for the scattering |(p1-p3)**2|, c xx - feinman x for the first parton for the born process c s - c.m. energy squared for the born scattering, c j - parton type at current end of the ladder (0 - g, 1,-1,2,... - q) c l - parton type at opposite end of the ladder (0 - g, 1,-1,2,... - q) c n - subprocess number c----------------------------------------------------------------------- double precision xx include 'epos.incsem' m=min(1,iabs(j))+1 if(l.ne.3)then if(l.eq.0)then psjetj=psevi(q1,scale,xx,m,1)*(psbori(s,t,0,0,n)+ !gg * psbori(s,s-t,0,0,n))/2. * +psevi(q1,scale,xx,m,2)*(psbori(s,t,1,0,n)+ !qg * psbori(s,s-t,1,0,n)) elseif(j.eq.0)then aks=psevi(q1,scale,xx,1,2)/naflav/2. !singlet contribution per quark psjetj=psevi(q1,scale,xx,1,1)*(psbori(s,t,0,1,n)+ !gq * psbori(s,s-t,0,1,n)) * +aks*(psbori(s,t,1,1,n)+psbori(s,s-t,1,1,n))/2. !qq * +aks*(psbori(s,t,-1,1,n)+psbori(s,s-t,-1,1,n)) !qq~ * +aks*(psbori(s,t,1,2,n)+psbori(s,s-t,1,2,n))*(naflav-1)*2. !qq' else akg=psevi(q1,scale,xx,2,1) !gluon contribution akns=psevi(q1,scale,xx,3,2) !nonsinglet contribution aks=(psevi(q1,scale,xx,2,2)-akns)/naflav/2. !singlet contribution if(j.eq.l)then psjetj=akg*(psbori(s,t,0,1,n)+psbori(s,s-t,0,1,n)) !gq * +(akns+aks)*(psbori(s,t,1,1,n)+psbori(s,s-t,1,1,n))/2. !qq * +aks*(psbori(s,t,-1,1,n)+psbori(s,s-t,-1,1,n)) !qq~ * +aks*(psbori(s,t,1,2,n)+psbori(s,s-t,1,2,n))*(naflav-1)*2. !qq' elseif(j.eq.-l)then psjetj=akg*(psbori(s,t,0,1,n)+psbori(s,s-t,0,1,n)) !gq * +aks*(psbori(s,t,1,1,n)+psbori(s,s-t,1,1,n))/2. !qq * +(akns+aks)*(psbori(s,t,-1,1,n)+psbori(s,s-t,-1,1,n)) !qq~ * +aks*(psbori(s,t,1,2,n)+psbori(s,s-t,1,2,n))*(naflav-1)*2.!qq' else psjetj=akg*(psbori(s,t,0,1,n)+psbori(s,s-t,0,1,n)) !gq * +aks*(psbori(s,t,1,1,n)+psbori(s,s-t,1,1,n))/2. !qq * +aks*(psbori(s,t,-1,1,n)+psbori(s,s-t,-1,1,n)) !qq~ * +(akns+aks*(naflav-1)*2.)* * (psbori(s,t,1,2,n)+psbori(s,s-t,1,2,n)) !qq' endif endif elseif(n.eq.1)then p1=s/(1.+qcmass**2/s) psjetj=psevi(q1,scale,xx,m,1)*(psbori(s,t,4,0,n)+ !cg * psbori(s,p1-t,4,0,n)) * +psevi(q1,scale,xx,m,2)*(psbori(s,t,4,1,n)+ !cq * psbori(s,p1-t,4,1,n)) else psjetj=0. endif return end c------------------------------------------------------------------------ function psjti(q1,qqcut,s,m1,l1,jdis) c----------------------------------------------------------------------- c psjti - inclusive hard cross-section interpolation - for any ordering c in the ladder c q1 - virtuality cutoff at current end of the ladder c qqcut - p_t cutoff for the born process; c s - total c.m. energy squared for the ladder c m1 - parton type at current end of the ladder (0-g, 1,2,etc.-q) c l1 - parton type at opposite end of the ladder (0-g, 1,2,etc.-q) c----------------------------------------------------------------------- dimension wi(3),wj(3),wk(3) common /psar2/ edmax,epmax common /psar19/ cstot(20,20,240) include 'epos.incsem' psjti=0. c jdis1=jdis if(jdis.eq.0)then qqmin=q1 qmax=s/4. else qqmin=max(q2min,q1/4.) qmax=s endif qq=max(qqmin,qqcut) spmin=4.*q2min s2min=4.*qq if(s.le.s2min)return if(jdis.eq.0)then smins=s2min/(1.-q2ini/qq) else smins=s2min/(1.-q2ini/qq/4.) endif if(s.le.smins)goto 1 if(s.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/s)) else tmin=2.*qq endif tmax=s/2. if(m1.ne.0.and.m1.eq.l1)then m=2 l=2 elseif(m1.ne.0.and.m1.eq.-l1)then m=3 l=1 elseif(m1.ne.0.and.l1.ne.0.and.m1.ne.l1)then m=3 l=2 else m=min(1,iabs(m1))+1 l=min(1,iabs(l1))+1 endif ml=20*(m-1)+60*(l-1)+120*jdis qli=log(q1/q2min)/log(qmax/q2min)*19.+1. qlj=log(qq/qqmin)/log(s/4./qqmin)*19.+1. sl=log(s/spmin)/log(epmax/2./spmin)*19.+1. k=int(sl) i=int(qli) j=int(qlj) if(j.lt.1)j=1 if(i.lt.1)i=1 if(k.gt.18)k=18 if(i.gt.18)i=18 if(j.gt.18)j=18 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) wj(2)=qlj-j wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) wk(2)=sl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) do i1=1,3 do j1=1,3 do k1=1,3 psjti=psjti+cstot(i+i1-1,j+j1-1,k+k1+ml-1) * *wi(i1)*wj(j1)*wk(k1) enddo enddo enddo psjti=exp(psjti)*(1./tmin-1./tmax) return 1 continue psjti=psbint(q1,q2min,qqcut,s,m1,l1,jdis) return end c------------------------------------------------------------------------ subroutine psjti0(ss,sj,sjb,m1,l1) c----------------------------------------------------------------------- c psjti0 - inclusive hard cross-section interpolation - c for minimal virtuality cutoff in the ladder c s - total c.m. energy squared for the ladder, c sj - inclusive jet cross-section, c sjb - born cross-section, c m1 - parton type at current end of the ladder (0-g, 1,2,etc.-q) c l1 - parton type at opposite end of the ladder (0-g, 1,2,etc.-q) c----------------------------------------------------------------------- dimension wk(3) common /psar2/ edmax,epmax common /psar22/ cstotzero(20,4,2),csborzer(20,4,2) include 'epos.incsem' sj=0. sjb=0. if(iabs(m1).ne.4)then q2mass=0. if(m1.ne.0.and.m1.eq.l1)then m=2 l=2 elseif(m1.ne.0.and.m1.eq.-l1)then m=3 l=1 elseif(m1.ne.0.and.l1.ne.0.and.m1.ne.l1)then m=3 l=2 else m=min(1,iabs(m1))+1 l=min(1,iabs(l1))+1 endif else q2mass=qcmass**2 m=4 l=min(1,iabs(l1))+1 endif s=ss-q2mass qq=q2min spmin=4.*qq+q2mass if(s.le.spmin)return p1=s/(1.+q2mass/s) if(p1.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/p1)) else tmin=2.*qq endif tmax=.5*p1 sl=log(s/spmin)/log(epmax/2./spmin)*19.+1. k=int(sl) if(k.gt.18)k=18 wk(2)=sl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) do k1=1,3 sj=sj+cstotzero(k+k1-1,m,l)*wk(k1) sjb=sjb+csborzer(k+k1-1,m,l)*wk(k1) enddo sjb=exp(sjb)*(1./tmin-1./tmax) sj=max(sjb,exp(sj)*(1./tmin-1./tmax)) return end c------------------------------------------------------------------------ function psjti1(q1,q2,qqcut,s,m1,l1,jdis) c----------------------------------------------------------------------- c psjti1 - inclusive hard cross-section interpolation - for strict order c in the ladder c q1 - virtuality cutoff at current end of the ladder c q2 - virtuality cutoff at opposite end of the ladder c qqcut - p_t cutoff for the born process; c s - total c.m. energy squared for the ladder, c m1 - parton type at current end of the ladder (0-g, 1,2,etc.-q) c l1 - parton type at opposite end of the ladder (0-g, 1,2,etc.-q) c----------------------------------------------------------------------- dimension wi(3),wj(3),wk(3) common /psar2/ edmax,epmax common /psar20/ csord(20,20,240) include 'epos.incsem' double precision psuds psjti1=0. if(jdis.eq.0)then qqmin=max(q1,q2) else qqmin=max(q1,q2/4.) endif qq=max(qqmin,qqcut) spmin=4.*q2min s2min=4.*qq if(s.le.s2min)return smins=s2min/(1.-q2ini/qq) if(s.le.smins)goto 1 if(s.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/s)) else tmin=2.*qq endif tmax=s/2. if(m1.ne.0.and.m1.eq.l1)then m=2 l=2 elseif(m1.ne.0.and.m1.eq.-l1)then m=3 l=1 elseif(m1.ne.0.and.l1.ne.0.and.m1.ne.l1)then m=3 l=2 else m=min(1,iabs(m1))+1 l=min(1,iabs(l1))+1 endif ml=20*(m-1)+60*(l-1)+120*jdis qli=log(q1/q2min)/log(s/4./q2min)*19.+1. qlj=log(qq/qqmin)/log(s/4./qqmin)*19.+1. sl=log(s/spmin)/log(epmax/2./spmin)*19.+1. k=int(sl) i=int(qli) j=int(qlj) if(j.lt.1)j=1 if(i.lt.1)i=1 if(k.gt.18)k=18 if(i.gt.18)i=18 if(j.gt.18)j=18 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) wj(2)=qlj-j wj(3)=wj(2)*(wj(2)-1.)*.5 wj(1)=1.-wj(2)+wj(3) wj(2)=wj(2)-2.*wj(3) wk(2)=sl-k wk(3)=wk(2)*(wk(2)-1.)*.5 wk(1)=1.-wk(2)+wk(3) wk(2)=wk(2)-2.*wk(3) do i1=1,3 do j1=1,3 do k1=1,3 k2=k+k1+ml-1 psjti1=psjti1+csord(i+i1-1,j+j1-1,k2) * *wi(i1)*wj(j1)*wk(k1) enddo enddo enddo psjti1=exp(psjti1)*(1./tmin-1./tmax) if(jdis.eq.0.and.qq.gt.q2)then psjti1=psjti1*sngl(psuds(qq,l1)/psuds(q2,l1)) elseif(jdis.eq.1.and.4.*qq.gt.q2)then psjti1=psjti1*sngl(psuds(4.*qq,l1)/psuds(q2,l1)) endif return 1 continue if(jdis.eq.0)then psjti1=psbint(q1,q2,qqcut,s,m1,l1,0) else psjti1=psbint(q2,q1,qqcut,s,l1,m1,1) endif return end c------------------------------------------------------------------------ function pspdfg(xx,qqs,qq,iclpro0,j) c----------------------------------------------------------------------- c pspdf - parton distribution function c qq - virtuality scale c qqs - initial virtuality for the input distributions c iclpro0 - hadron class c j - parton type c----------------------------------------------------------------------- double precision z common/ar3/ x1(7),a1(7) include 'epos.incsem' double precision psuds pspdfg=psdfh4(xx,qqs,0.,iclpro0,j) if(j.gt.0)pspdfg=pspdfg+psdfh4(xx,qqs,0.,iclpro0,-j) !+sea contr. pspdfg=pspdfg*sngl(psuds(qq,j)/psuds(qqs,j)) xmin=xx/(1.-q2ini/qq) if(xmin.ge.1.)return dpd1=0. dpd2=0. xm=max(xmin,.3) do i=1,7 !numerical integration over zx do m=1,2 zx=1.-(1.-xm)*(.5+(m-1.5)*x1(i))**.25 z=xx/zx if(j.eq.0)then aks=psevi(qqs,qq,z,2,1) !quark contribution akg=psevi(qqs,qq,z,1,1) !gluon contribution akns=0. else akg=psevi(qqs,qq,z,1,2)/naflav/2. !gluon contribution akns=psevi(qqs,qq,z,3,2) !nonsinglet contribution aks=(psevi(qqs,qq,z,2,2)-akns)/naflav/2. !quark contribution endif fz=akg*psdfh4(zx,qqs,0.,iclpro0,0) * +akns*psdfh4(zx,qqs,0.,iclpro0,j) * +aks*(psdfh4(zx,qqs,0.,iclpro0,1)+ * 2.*psdfh4(zx,qqs,0.,iclpro0,-1) * +psdfh4(zx,qqs,0.,iclpro0,2)+2.*psdfh4(zx,qqs,0.,iclpro0,-2) * +2.*psdfh4(zx,qqs,0.,iclpro0,-3)) if(j.gt.0)fz=fz+akns*psdfh4(zx,qqs,0.,iclpro0,-j) dpd1=dpd1+a1(i)*fz/zx**2/(1.-zx)**3 enddo enddo dpd1=dpd1*(1.-xm)**4/8.*xx if(xm.gt.xmin)then do i=1,7 !numerical integration do m=1,2 zx=xx+(xm-xx)*((xmin-xx)/(xm-xx))**(.5-(m-1.5)*x1(i)) z=xx/zx if(j.eq.0)then aks=psevi(qqs,qq,z,2,1) !quark contribution akg=psevi(qqs,qq,z,1,1) !gluon contribution akns=0. else akg=psevi(qqs,qq,z,1,2)/naflav/2. !gluon contribution akns=psevi(qqs,qq,z,3,2) !nonsinglet contribution aks=(psevi(qqs,qq,z,2,2)-akns)/naflav/2. !quark contribution endif fz=akg*psdfh4(zx,qqs,0.,iclpro0,0) * +akns*psdfh4(zx,qqs,0.,iclpro0,j) * +aks*(psdfh4(zx,qqs,0.,iclpro0,1) * +2.*psdfh4(zx,qqs,0.,iclpro0,-1) * +psdfh4(zx,qqs,0.,iclpro0,2)+2.*psdfh4(zx,qqs,0.,iclpro0,-2) * +2.*psdfh4(zx,qqs,0.,iclpro0,-3)) if(j.gt.0)fz=fz+akns*psdfh4(zx,qqs,0.,iclpro0,-j) dpd2=dpd2+a1(i)*fz*(1.-xx/zx)/zx enddo enddo dpd2=dpd2*log((xm-xx)/(xmin-xx))*.5*xx endif pspdfg=pspdfg+dpd2+dpd1 return end c----------------------------------------------------------------------- subroutine psaevp c----------------------------------------------------------------------- include 'epos.inc' include 'epos.incsem' qq=xpar1 jmod=nint(xpar2) iologb=1 if(jmod.eq.0)then !??????????????ttttttt write(*,*)"no more triple Pomeron, xpar2=0 in psaevp not accepted" write(*,*)"use xpar2=1 instead" jmod=1 endif do i=1,nrbins if(iologb.eq.0)then xx=xminim+(xmaxim-xminim)*(i-.5)/nrbins else xx=xminim*(xmaxim/xminim)**((i-.5)/nrbins) endif ar(i,1)=xx ar(i,2)=0. if(jmod.eq.0)then !evolution+matrix element +3P (ours) ww=qq/xx ar(i,3)=(psdh(ww,qq,2,0)+psdh(ww,qq,2,1)+ * psdsh1(ww,qq,2,dqsh,0)+psdsh1(ww,qq,2,dqsh,1) * )/(4.*pi**2*alfe)*qq elseif(jmod.eq.1)then !evolution+matrix element (ours) ww=qq/xx ar(i,3)=(psdh(ww,qq,2,0)+psdh(ww,qq,2,1)+ * psdsh(ww,qq,2,dqsh,0)+psdsh(ww,qq,2,dqsh,1) * )/(4.*pi**2*alfe)*qq elseif(jmod.eq.2)then !just evolution (grv) ar(i,3)=(pspdfg(xx,q2min,qq,2,1)/2.25+ * pspdfg(xx,q2min,qq,2,2)/9.+ * pspdfg(xx,q2min,qq,2,-1)*2./3.6+ * pspdfg(xx,q2min,qq,2,-3)*2./9.) if(naflav.eq.4)ar(i,3)=ar(i,3)+pspdfg(xx,q2min,qq,2,-4) * *2./2.25 elseif(jmod.eq.3)then !grv ar(i,3)=(psdfh4(xx,qq,0.,2,1)+2.*psdfh4(xx,qq,0.,2,-1))/2.25 * +(psdfh4(xx,qq,0.,2,2)+2.*psdfh4(xx,qq,0.,2,-2))/9. * +2.*psdfh4(xx,qq,0.,2,-3)/9. ! elseif(jmod.eq.4)then !just evolution (ours) ar(i,3)=(fparton(xx,qq,1)/2.25+fparton(xx,qq,2)/9.+ * fparton(xx,qq,-1)*6./4.5) !uv+dv+6*sea if(naflav.eq.4)ar(i,3)=ar(i,3)+fparton(xx,qq,-4)*2./2.25 elseif(jmod.eq.5)then !grv+res ww=qq/xx ar(i,3)=(psdgh(ww,qq,0)+psdgh(ww,qq,1) * )/(4.*pi**2*alfe)*qq endif ar(i,4)=0. enddo return end c------------------------------------------------------------------------ subroutine pscs(c,s) c----------------------------------------------------------------------- c pscs - cos (c) and sin (s) generation for uniformly distributed angle c----------------------------------------------------------------------- 1 s1=2.*rangen()-1. s2=2.*rangen()-1. s3=s1*s1+s2*s2 if(s3.gt.1.)goto 1 s3=sqrt(s3) c=s1/s3 s=s2/s3 return end c------------------------------------------------------------------------ subroutine psdefrot(ep,s0x,c0x,s0,c0) c----------------------------------------------------------------------- c psdefrot - determination of the parameters the spacial rotation to the c system for 4-vector ep c s0, c0 - sin and cos for the zx-rotation; c s0x, c0x - sin and cos for the xy-rotation c----------------------------------------------------------------------- dimension ep(4) c transverse momentum square for the current parton (ep) pt2=ep(3)**2+ep(4)**2 if(pt2.ne.0.)then pt=sqrt(pt2) c system rotation to get pt=0 - euler angles are determined (c0x = cos t c s0x = sin theta, c0 = cos phi, s0 = sin phi) c0x=ep(3)/pt s0x=ep(4)/pt c total momentum for the gluon pl=sqrt(pt2+ep(2)**2) s0=pt/pl c0=ep(2)/pl else c0x=1. s0x=0. pl=abs(ep(2)) s0=0. c0=ep(2)/pl endif ep(2)=pl ep(3)=0. ep(4)=0. return end c------------------------------------------------------------------------ subroutine psdeftr(s,ep,ey) c----------------------------------------------------------------------- c psdeftr - determination of the parameters for the lorentz transform to c rest frame system for 4-vector ep of mass squared s c----------------------------------------------------------------------- dimension ey(3) double precision ep(4) do i=1,3 if(ep(i+1).eq.0.d0)then ey(i)=1. else wp=ep(1)+ep(i+1) wm=ep(1)-ep(i+1) if(wp.gt.1.e-8.and.wm/wp.lt.1.e-8)then ww=s do l=1,3 if(l.ne.i)ww=ww+ep(l+1)**2 enddo wm=ww/wp elseif(wm.gt.1.e-8.and.wp/wm.lt.1.e-8)then ww=s do l=1,3 if(l.ne.i)ww=ww+ep(l+1)**2 enddo wp=ww/wm endif ey(i)=sqrt(wm/wp) ep(1)=wp*ey(i) ep(i+1)=0. endif enddo ep(1)=dsqrt(dble(s)) return end c------------------------------------------------------------------------ function psdfh4(x,qqs,qq,icq,iq) c------------------------------------------------------------------------ c psdfh4 - GRV structure functions c------------------------------------------------------------------------ common /psar36/ alvc if(x.gt..99999)then psdfh4=0. return endif if(icq.eq.2)then sq=log(log(qqs/.232**2)/log(.23/.232**2)) if(iq.eq.0)then !gluon alg=.524 betg=1.088 aag=1.742-.93*sq bbg=-.399*sq**2 ag=7.486-2.185*sq bg=16.69-22.74*sq+5.779*sq*sq cg=-25.59+29.71*sq-7.296*sq*sq dg=2.792+2.215*sq+.422*sq*sq-.104*sq*sq*sq eg=.807+2.005*sq eeg=3.841+.361*sq psdfh4=(1.-x)**dg*(x**aag*(ag+bg*x+cg*x**2)*log(1./x)**bbg * +sq**alg*exp(-eg+sqrt(eeg*sq**betg*log(1./x)))) elseif(iq.eq.1.or.iq.eq.2)then !u_v or d_v aau=.59-.024*sq bbu=.131+.063*sq auu=2.284+.802*sq+.055*sq*sq au=-.449-.138*sq-.076*sq*sq bu=.213+2.669*sq-.728*sq*sq cu=8.854-9.135*sq+1.979*sq*sq du=2.997+.753*sq-.076*sq*sq uv=auu*x**aau*(1.-x)**du* * (1.+au*x**bbu+bu*x+cu*x**1.5) aad=.376 bbd=.486+.062*sq add=.371+.083*sq+.039*sq*sq ad=-.509+3.31*sq-1.248*sq*sq bd=12.41-10.52*sq+2.267*sq*sq ccd=6.373-6.208*sq+1.418*sq*sq dd=3.691+.799*sq-.071*sq*sq dv=add*x**aad*(1.-x)**dd* * (1.+ad*x**bbd+bd*x+ccd*x**1.5) if(iq.eq.1)then !u_v psdfh4=uv elseif(iq.eq.2)then !d_v psdfh4=dv endif elseif(iq.eq.-3)then !s_sea als=.914 bets=.577 aas=1.798-.596*sq as=-5.548+3.669*sqrt(sq)-.616*sq bs=18.92-16.73*sqrt(sq)+5.168*sq ds=6.379-.35*sq+.142*sq*sq es=3.981+1.638*sq ees=6.402 psdfh4=(1.-x)**ds*sq**als/log(1./x)**aas*(1.+as*sqrt(x) * +bs*x)*exp(-es+sqrt(ees*sq**bets*log(1./x))) elseif(iabs(iq).lt.3)then !u_sea or d_sea aadel=.409-.005*sq bbdel=.799+.071*sq addel=.082+.014*sq+.008*sq*sq adel=-38.07+36.13*sq-.656*sq*sq bdel=90.31-74.15*sq+7.645*sq*sq ccdel=0. ddel=7.486+1.217*sq-.159*sq*sq delv=addel*x**aadel*(1.-x)**ddel* * (1.+adel*x**bbdel+bdel*x+ccdel*x**1.5) alud=1.451 betud=.271 aaud=.41-.232*sq bbud=.534-.457*sq aud=.89-.14*sq bud=-.981 cud=.32+.683*sq dud=4.752+1.164*sq+.286*sq*sq eud=4.119+1.713*sq eeud=.682+2.978*sq udsea=(1.-x)**dud*(x**aaud*(aud+bud*x+cud*x**2) * *log(1./x)**bbud+sq**alud*exp(-eud+sqrt(eeud*sq**betud* * log(1./x)))) if(iq.eq.-1)then !u_sea psdfh4=(udsea-delv)/2. elseif(iq.eq.-2)then !d_sea psdfh4=(udsea+delv)/2. endif else psdfh4=0. endif elseif(icq.eq.1.or.icq.eq.3)then sq=log(log(qqs/.204**2)/log(.26/.204**2)) if(iq.eq.1.or.iq.eq.2)then aapi=.517-.02*sq api=-.037-.578*sq bpi=.241+.251*sq dpi=.383+.624*sq anorm=1.212+.498*sq+.009*sq**2 psdfh4=.5*anorm*x**aapi*(1.-x)**dpi* * (1.+api*sqrt(x)+bpi*x) elseif(iq.eq.0)then alfpi=.504 betpi=.226 aapi=2.251-1.339*sqrt(sq) api=2.668-1.265*sq+.156*sq**2 bbpi=0. bpi=-1.839+.386*sq cpi=-1.014+.92*sq-.101*sq**2 dpi=-.077+1.466*sq epi=1.245+1.833*sq eppi=.51+3.844*sq psdfh4=(1.-x)**dpi*(x**aapi*(api+bpi*sqrt(x)+cpi*x)* * log(1./x)**bbpi+sq**alfpi* * exp(-epi+sqrt(eppi*sq**betpi*log(1./x)))) elseif(iq.eq.-3)then alfpi=.823 betpi=.65 aapi=1.036-.709*sq api=-1.245+.713*sq bpi=5.58-1.281*sq dpi=2.746-.191*sq epi=5.101+1.294*sq eppi=4.854-.437*sq psdfh4=sq**alfpi/log(1./x)**aapi*(1.-x)**dpi* * (1.+api*sqrt(x)+bpi*x)* * exp(-epi+sqrt(eppi*sq**betpi*log(1./x))) elseif(iabs(iq).lt.3)then alfpi=1.147 betpi=1.241 aapi=.309-.134*sqrt(sq) api=.219-.054*sq bbpi=.893-.264*sqrt(sq) bpi=-.593+.24*sq cpi=1.1-.452*sq dpi=3.526+.491*sq epi=4.521+1.583*sq eppi=3.102 psdfh4=(1.-x)**dpi*(x**aapi*(api+bpi*sqrt(x)+cpi*x)* * log(1./x)**bbpi+sq**alfpi* * exp(-epi+sqrt(eppi*sq**betpi*log(1./x)))) else psdfh4=0. endif elseif(icq.eq.0)then sq=log(log(qqs/.204**2)/log(.26/.204**2)) if(iq.eq.0)then alfpi=.504 betpi=.226 aapi=2.251-1.339*sqrt(sq) api=2.668-1.265*sq+.156*sq**2 bbpi=0. bpi=-1.839+.386*sq cpi=-1.014+.92*sq-.101*sq**2 dpi=-.077+1.466*sq epi=1.245+1.833*sq eppi=.51+3.844*sq psdfh4=(1.-x)**dpi*(x**aapi*(api+bpi*sqrt(x)+cpi*x)* * log(1./x)**bbpi+sq**alfpi* * exp(-epi+sqrt(eppi*sq**betpi*log(1./x)))) * *.543 else alfpi=.823 betpi=.65 aapi=1.036-.709*sq api=-1.245+.713*sq bpi=5.58-1.281*sq dpi=2.746-.191*sq epi=5.101+1.294*sq eppi=4.854-.437*sq str=sq**alfpi/log(1./x)**aapi*(1.-x)**dpi* * (1.+api*sqrt(x)+bpi*x)* * exp(-epi+sqrt(eppi*sq**betpi*log(1./x))) if(iq.eq.3)then psdfh4=str*.543*2. else aapi=.517-.02*sq api=-.037-.578*sq bpi=.241+.251*sq dpi=.383+.624*sq anorm=1.212+.498*sq+.009*sq**2 val=.5*anorm*x**aapi*(1.-x)**dpi* * (1.+api*sqrt(x)+bpi*x) alfpi=1.147 betpi=1.241 aapi=.309-.134*sqrt(sq) api=.219-.054*sq bbpi=.893-.264*sqrt(sq) bpi=-.593+.24*sq cpi=1.1-.452*sq dpi=3.526+.491*sq epi=4.521+1.583*sq eppi=3.102 sea=(1.-x)**dpi*(x**aapi*(api+bpi*sqrt(x)+cpi*x)* * log(1./x)**bbpi+sq**alfpi* * exp(-epi+sqrt(eppi*sq**betpi*log(1./x)))) if(iq.eq.1)then psdfh4=(.836*(val+2.*sea)-.587*str) elseif(iq.eq.2)then psdfh4=(.25*(val+2.*sea)+.587*str) else psdfh4=0. endif endif endif psdfh4=psdfh4/(1.+qq/.59)**2 elseif(icq.eq.4.and.iq.eq.1)then psdfh4=x**3*(1.-x)**alvc*(alvc+3.)*(alvc+2.)*(alvc+1.) else psdfh4=0. endif return end c------------------------------------------------------------------------ function psfap(x,j,l) c----------------------------------------------------------------------- c psfap - altarelli-parisi function (multiplied by x) c x - light cone momentum share value, c j - type of the parent parton (0-g;1,2,etc.-q) c l - type of the daughter parton (0-g;1,2,etc.-q) c----------------------------------------------------------------------- double precision x include 'epos.incsem' if(j.eq.0)then if(l.eq.0)then psfap=((1.d0-x)/x+x/(1.d0-x)+x*(1.d0-x))*6.d0 else psfap=(x**2+(1.d0-x)**2)*naflav endif else if(l.eq.0)then psfap=(1.d0+(1.d0-x)**2)/x/.75d0 else psfap=(x**2+1.d0)/(1.d0-x)/.75d0 endif endif return end cc------------------------------------------------------------------------ c function psgen(a1,a2) cc----------------------------------------------------------------------- cc psgen - x-values generation according to distribution cc x1^(-a1) x2^(-0.5) cc----------------------------------------------------------------------- c common/lept1/engy,elepti,elepto,angmue,icinpu c c aa=max(a1,a2) c1 continue c if(aa.lt.1.)then c x1=.5*rangen()**(1./(1.-aa)) c elseif(aa.eq.1.)then c x1=.5/engy**rangen() c else c x1=.5*(1.+rangen()*(engy**(aa-1.)-1.))**(1./(1.-aa)) c endif c if(x1.lt.1.e-7.or.x1.gt..999999)then c goto 1 c endif c if(rangen().lt..5)then c gb=x1**(aa-a1)*.5**aa/(1.-x1)**a2 c else c x1=1.-x1 c gb=(1.-x1)**(aa-a2)*.5**aa/x1**a1 c endif c if(rangen().gt.gb)goto 1 c psgen=x1 c return c end c c------------------------------------------------------------------------ function psidd(icc) c----------------------------------------------------------------------- c psidd - kink type decoder c----------------------------------------------------------------------- if(icc.eq.0)then !g psidd=9 elseif(iabs(icc).le.2)then !u,u~,d,d~ psidd=icc elseif(iabs(icc).eq.4)then !s,s~ psidd=icc/4*3 elseif(iabs(icc).gt.10)then !c,c~ etc. psidd=icc/10 elseif(icc.eq.3)then !ud psidd=1200 elseif(icc.eq.-3)then !u~d~ psidd=-1200 elseif(icc.eq.6)then !uu psidd=1100 elseif(icc.eq.-6)then !u~u~ psidd=-1100 elseif(icc.eq.7)then !dd psidd=2200 elseif(icc.eq.-7)then !d~d~ psidd=-2200 else write (*,*)'psidd?????????',icc endif return end cc------------------------------------------------------------------------ c function pslam(s,a,b) cc----------------------------------------------------------------------- cc kinematical function for two particle decay - maximal pt-value cc a - first particle mass squared, cc b - second particle mass squared, cc s - two particle invariant mass squared cc----------------------------------------------------------------------- c pslam=.25/s*(s+a-b)**2-a c return c end c c------------------------------------------------------------------------ function psjvrg1(qt,s,y0) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) common /cnsta/ pi,pii,hquer,prom,piom,ainfin include 'epos.incsem' double precision xt,ymin,ymax,y,xmin,xmax,xx1,xx2 psjvrg1=0. if(s.le.4.*qt)return xt=2.d0*sqrt(dble(qt)/dble(s)) ymax=min(dble(y0),log(1d0/xt+sqrt((1d0/xt-1d0)*(1d0/xt+1d0)))) ymin=-ymax do i=1,7 do m=1,2 y=.5d0*(ymax+ymin+(ymin-ymax)*dble((2*m-3)*x1(i))) xmin=xt**2/2.d0/(2.d0-xt*exp(-y)) xmax=1.d0-xt*exp(y)/2.d0 fx=0. do i1=1,7 do m1=1,2 xx1=xt*exp(y)/2d0+xmin*(xmax/xmin)**dble(.5+x1(i1)*(m1-1.5)) xx2=xt*exp(-y)*xx1/(2.d0*xx1-xt*exp(y)) z=sngl(xx1*xx2) sh=z*s t=sngl(dble(sh)/2d0*(1d0 & -sqrt(max(0d0,1d0-4d0*dble(qt)/dble(sh))))) ft=psjvrx(t,qt,sngl(xx1),sngl(xx2),sh) fx=fx+a1(i1)*ft/sh**2 enddo enddo fx=fx*sngl(log(xmax/xmin)) psjvrg1=psjvrg1+a1(i)*fx enddo enddo psjvrg1=psjvrg1*sngl(ymax-ymin)*pi**3 **pssalf(qt/qcdlam)**2*sqrt(qt) return end c----------------------------------------------------------------------- function psjvrx(t,qt,xx1,xx2,s) c----------------------------------------------------------------------- include 'epos.incsem' g1=psdfh4(xx1,qt,0.,2,0) ub1=psdfh4(xx1,qt,0.,2,-1) u1=psdfh4(xx1,qt,0.,2,1)+ub1 db1=psdfh4(xx1,qt,0.,2,-2) d1=psdfh4(xx1,qt,0.,2,2)+db1 sb1=psdfh4(xx1,qt,0.,2,-3) s1=sb1 g2=psdfh4(xx2,qt,0.,2,0) ub2=psdfh4(xx2,qt,0.,2,-1) u2=psdfh4(xx2,qt,0.,2,1)+ub2 db2=psdfh4(xx2,qt,0.,2,-2) d2=psdfh4(xx2,qt,0.,2,2)+db2 sb2=psdfh4(xx2,qt,0.,2,-3) s2=sb2 psjvrx=g1*g2*(psbori(s,t,0,0,1)+psbori(s,s-t,0,0,1) *+psbori(s,t,0,0,2)+psbori(s,s-t,0,0,2))/2. *+(psbori(s,t,0,1,1)+psbori(s,s-t,0,1,1))* *(g2*(u1+ub1+d1+db1+s1+sb1)+g1*(u2+ub2+d2+db2+s2+sb2)) *+(psbori(s,t,1,1,1)+psbori(s,s-t,1,1,1))/2.* *(u1*u2+ub1*ub2+d1*d2+db1*db2+s1*s2+sb1*sb2) *+(psbori(s,t,1,-1,1)+psbori(s,s-t,1,-1,1)+psbori(s,t,1,-1,2)+ *psbori(s,s-t,1,-1,2)+psbori(s,t,1,-1,3)+psbori(s,s-t,1,-1,3))* *(u1*ub2+ub1*u2+d1*db2+db1*d2+s1*sb2+sb1*s2) *+(psbori(s,t,1,2,1)+psbori(s,s-t,1,2,1))* *((u1+ub1)*(d2+db2+s2+sb2)+(u2+ub2)*(d1+db1+s1+sb1)+ *(d1+db1)*(u2+ub2+s2+sb2)+(d2+db2)*(u1+ub1+s1+sb1)+ *(s1+sb1)*(u2+ub2+d2+db2)+(s2+sb2)*(u1+ub1+d1+db1)) return end c------------------------------------------------------------------------ function psjwo1(qt,s,y0) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) common /cnsta/ pi,pii,hquer,prom,piom,ainfin double precision xt,ymax,ymin,y,xmin,xmax,xx1,xx2 include 'epos.incsem' psjwo1=0. if(s.le.4.*qt)return xt=2.d0*sqrt(dble(qt)/dble(s)) ymax=min(dble(y0),log(1d0/xt+sqrt((1d0/xt-1d0)*(1d0/xt+1d0)))) ymin=-ymax do i=1,7 do m=1,2 y=.5d0*(ymax+ymin+(ymin-ymax)*dble(2*m-3)*dble(x1(i))) xmin=xt**2/2.d0/(2.d0-xt*exp(-y)) xmax=1.d0-xt*exp(y)/2.d0 fx=0. do i1=1,7 do m1=1,2 xx1=xt*exp(y)/2.d0+xmin*(xmax/xmin)**dble(.5+x1(i1)*(m1-1.5)) xx2=xt*exp(-y)/(2.d0-xt*exp(y)/xx1) z=sngl(xx1*xx2) sh=z*s t=sngl(dble(sh)/2d0*(1d0-sqrt(1d0-4d0*dble(qt)/dble(sh)))) ft=psjwox(t,qt,sngl(xx1),sngl(xx2),sh) fx=fx+a1(i1)*ft/sh**2 enddo enddo fx=fx*log(xmax/xmin) psjwo1=psjwo1+a1(i)*fx enddo enddo psjwo1=psjwo1*sngl(ymax-ymin)*pi**3 **pssalf(qt/qcdlam)**2*sqrt(qt) return end c----------------------------------------------------------------------- function psjwox(t,qt,xx1,xx2,s) c----------------------------------------------------------------------- double precision x,scale,upv1,dnv1,sea1,str1,chm1,gl1, *upv2,dnv2,sea2,str2,chm2,gl2 scale=sqrt(qt) x=xx1 call strdo1(x,scale,upv1,dnv1,sea1,str1,chm1,gl1) x=xx2 call strdo1(x,scale,upv2,dnv2,sea2,str2,chm2,gl2) psjwox=gl1*gl2*(psbori(s,t,0,0,1)+psbori(s,s-t,0,0,1) *+psbori(s,t,0,0,2)+psbori(s,s-t,0,0,2)+psbori(s,t,0,0,3) *+psbori(s,s-t,0,0,3))/2. *+(psbori(s,t,0,1,1)+psbori(s,s-t,0,1,1) *+psbori(s,t,0,1,2)+psbori(s,s-t,0,1,2)+psbori(s,t,0,1,3) *+psbori(s,s-t,0,1,3))*(gl2*(upv1+dnv1+4.*sea1+2.*str1+2.*chm1)+ *gl1*(upv2+dnv2+4.*sea2+2.*str2+2.*chm2)) *+(psbori(s,t,1,1,1)+psbori(s,s-t,1,1,1) *+psbori(s,t,1,1,2)+psbori(s,s-t,1,1,2)+psbori(s,t,1,1,3)+ *psbori(s,s-t,1,1,3))/2.* *((upv1+sea1)*(upv2+sea2)+(dnv1+sea1)*(dnv2+sea2)+2.*sea1*sea2 *+2.*str1*str2+2.*chm1*chm2) *+(psbori(s,t,1,-1,1)+psbori(s,s-t,1,-1,1)+psbori(s,t,1,-1,2)+ *psbori(s,s-t,1,-1,2)+psbori(s,t,1,-1,3)+psbori(s,s-t,1,-1,3))* *((upv1+sea1)*sea2+sea1*(upv2+sea2)+(dnv1+sea1)*sea2+ *sea1*(dnv2+sea2)+2.*str1*str2+2.*chm1*chm2) *+(psbori(s,t,1,2,1) *+psbori(s,s-t,1,2,1)+psbori(s,t,1,2,2)+psbori(s,s-t,1,2,2) *+psbori(s,t,1,2,3)+psbori(s,s-t,1,2,3))* *(upv1*dnv2+upv2*dnv1+(upv1+dnv1)*(2.*sea2+2.*str2+2.*chm2)+ *(upv2+dnv2)*(2.*sea1+2.*str1+2.*chm1)+ *4.*sea1*(2.*sea2+2.*str2+2.*chm2)+2.*str1*(4.*sea2+2.*chm2)+ *2.*chm1*(4.*sea2+2.*str2)) return end c------------------------------------------------------------------------ subroutine pslcsh(wp1,wm1,wp2,wm2,samqt,amqpt) c----------------------------------------------------------------------- c pslcsh - sh pomeron lc momentum sharing between two strings c------------------------------------------------------------------------ double precision amqt(4),yqm(4),yqm1(4),xlp(4),xlm(4),am23,sx,y2 *,wp1,wp2,wm1,wm2,s,sq,psutz,yqmax,y,amjp,amjm,y1,s12,s34,x34,amqpt dimension samqt(4) include 'epos.inc' s=wp1*wm1 sq=dsqrt(s) do i=1,4 amqt(i)=dble(samqt(i)) yqm(i)=dlog(sq/amqt(i)*psutz(s,amqt(i)**2,(amqpt-amqt(i))**2)) enddo yqmax=max(yqm(1),yqm(2)) 1 y=yqmax*dble(rangen()) j=int(1.5+rangen()) if(y.gt.yqm(j))goto 1 amjp=amqt(j)*dexp(y) amjm=amqt(j)*dexp(-y) do i=3,4 am23=amqt(3-j)+amqt(7-i) sx=(am23+amjp)*(am23+amjm) yqm1(i)=dlog(sq/amqt(i)*psutz(s,amqt(i)**2,sx)) enddo yqmax1=max(yqm1(3),yqm1(4)) if(dble(rangen()).gt.yqmax1/max(yqm(3),yqm(4)))goto 1 y1=yqmax1*dble(rangen()) j1=int(3.5+rangen()) if(y1.gt.yqm1(j1))goto 1 amjp1=amqt(j1)*exp(y1) amjm1=amqt(j1)*exp(-y1) s12=(amqt(3-j)+amjp)*(amqt(3-j)+amjm) s34=(amqt(7-j1)+amjp1)*(amqt(7-j1)+amjm1) y2=dlog(sq/(amqt(3-j)+amjp)*psutz(s,s12,s34)) xlp(j)=amqt(j)/sq*dexp(y+y2) xlm(j)=amqt(j)/sq*dexp(-y-y2) xlp(3-j)=amqt(3-j)/sq*dexp(y2) xlm(3-j)=amqt(3-j)/sq*dexp(-y2) x34=1.-xlm(1)-xlm(2) xlm(7-j1)=x34/(1.+amjp1/amqt(7-j1)) xlm(j1)=x34-xlm(7-j1) c write (*,*)'xlc',xlp(1),xlp(2),xlm(3),xlm(4) if(dble(rangen()).gt.(xlp(1)*xlp(2)*xlm(3)*xlm(4))**(-alpqua)* *(xlp(j)*(1.d0-xlp(j))*xlm(j1)*(1.d0-xlm(j1))))goto 1 wp2=xlp(2)*wp1 wp1=xlp(1)*wp1 wm2=xlm(4)*wm1 wm1=xlm(3)*wm1 c write (*,*)'wp1,wm1,wp2,wm2',wp1,wm1,wp2,wm2 return end c------------------------------------------------------------------------ function psnorm(ep) c----------------------------------------------------------------------- c 4-vector squared calculation c----------------------------------------------------------------------- double precision sm2,ep(4) sm2=ep(1)**2 do i=1,3 sm2=sm2-ep(i+1)**2 enddo psnorm=sm2 return end c------------------------------------------------------------------------ subroutine psrotat(ep,s0x,c0x,s0,c0) c----------------------------------------------------------------------- c psrotat - spacial rotation to the lab. system for 4-vector ep c s0, c0 - sin and cos for the zx-rotation; c s0x, c0x - sin and cos for the xy-rotation c----------------------------------------------------------------------- dimension ep(4),ep1(3) ep1(3)=ep(4) ep1(2)=ep(2)*s0+ep(3)*c0 ep1(1)=ep(2)*c0-ep(3)*s0 ep(2)=ep1(1) ep(4)=ep1(2)*s0x+ep1(3)*c0x ep(3)=ep1(2)*c0x-ep1(3)*s0x return end cc------------------------------------------------------------------------ c subroutine psrotat1(ep,s0x,c0x,s0,c0) cc----------------------------------------------------------------------- cc psrotat - spacial rotation to the lab. system for 4-vector ep cc s0, c0 - sin and cos for the zx-rotation; cc s0x, c0x - sin and cos for the xy-rotation cc----------------------------------------------------------------------- c dimension ep(4),ep1(3) c c ep1(1)=ep(2) c ep1(3)=-ep(3)*s0x+ep(4)*c0x c ep1(2)=ep(3)*c0x+ep(4)*s0x c c ep(4)=ep1(3) c ep(3)=-ep1(1)*s0+ep1(2)*c0 c ep(2)=ep1(1)*c0+ep1(2)*s0 c return c end c c----------------------------------------------------------------------- function pssalf(qq) c----------------------------------------------------------------------- c pssalf - effective qcd coupling (alpha_s/2/pi) c----------------------------------------------------------------------- include "epos.incsem" pssalf=2./(11.-naflav/1.5)/log(qq) return end c------------------------------------------------------------------------ subroutine pstrans(ep,ey,jj) c----------------------------------------------------------------------- c pstrans - lorentz boosts according to the parameters ey ( determining c shift along the z,x,y-axis respectively (ey(1),ey(2),ey(3))) c jj=1 - inverse transformation to the lab. system; c jj=-1 - direct transformation c----------------------------------------------------------------------- dimension ey(3),ep(4) if(jj.eq.1)then c lorentz transform to lab. system according to 1/ey(i) parameters do i=1,3 if(ey(4-i).ne.1.)then wp=(ep(1)+ep(5-i))/ey(4-i) wm=(ep(1)-ep(5-i))*ey(4-i) ep(1)=.5*(wp+wm) ep(5-i)=.5*(wp-wm) endif enddo else c lorentz transform to lab. system according to ey(i) parameters do i=1,3 if(ey(i).ne.1.)then wp=(ep(1)+ep(i+1))*ey(i) wm=(ep(1)-ep(i+1))/ey(i) ep(1)=.5*(wp+wm) ep(i+1)=.5*(wp-wm) endif enddo endif return end c------------------------------------------------------------------------ double precision function psuds(q,m) c----------------------------------------------------------------------- c psuds - spacelike sudakov formfactor c q - maximal value of the effective momentum, c m - type of parton (0 - g, 1,2, etc. - q) c----------------------------------------------------------------------- dimension wi(3) common /psar15/ sudx(40,2) include 'epos.incsem' double precision dps,qlm,ffacs,qlm0,qlmi j=min(iabs(m),1)+1 if(q.gt.q2ini)then qli=log(q/q2min)*2.+1. i=int(qli) if(i.lt.1)i=1 if(i.gt.38)i=38 wi(2)=qli-i wi(3)=wi(2)*(wi(2)-1.)*.5 wi(1)=1.-wi(2)+wi(3) wi(2)=wi(2)-2.*wi(3) dps=0.d0 do i1=1,3 dps=dps+dble(sudx(i+i1-1,j)*wi(i1)) enddo qlm0=dble(log(q2ini/qcdlam)) qlm=dble(log(q/qcdlam)) qlmi=qlm-qlm0 !=log(q/q2ini) psuds=(qlm*log(qlm/qlm0)-qlmi) ffacs=(11.d0-dble(naflav)/1.5d0)/12.d0 if(j.eq.1)then psuds=(psuds-ffacs*log(qlm/qlm0) * +dps*(1.d0-dble(q2ini/q)))/ffacs else psuds=(psuds-log(qlm/qlm0)*.75d0 * +dps*(1.d0-dble(q2ini/q)))*4.d0/9.d0/ffacs endif psuds=exp(-psuds) else psuds=1.d0 endif return end c------------------------------------------------------------------------ function psudx(q,j) c----------------------------------------------------------------------- c psudx - part of the bspacelike sudakov formfactor c q - maximal value of the effective momentum, c j - type of parton (1 - g, 2 - q) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) include 'epos.incsem' psudx=0. do i=1,7 do m=1,2 qt=.5*(q2ini+q-x1(i)*(2.*m-3.)*(q2ini-q)) if(j.eq.1)then zm=1.-qt/q dps=((11.-naflav/1.5)/12.-zm**2*(1.-naflav/12.)+ * (zm**3/3.-zm**4/4.)*(1.-naflav/3.))*q/qt else dps=(1.-qt/q/4.) endif psudx=psudx+a1(i)*dps/log(qt/qcdlam) enddo enddo psudx=psudx*.5 return end c------------------------------------------------------------------------ double precision function psutz(s,a,b) c----------------------------------------------------------------------- c psutz - kinematical function for two particle decay - light cone momen c share for the particle of mass squared a, c b - partner's mass squared, c s - two particle invariant mass c----------------------------------------------------------------------- double precision a1,b1,s1,x,dx,s,a,b a1=dsqrt(a) b1=dsqrt(b) s1=dsqrt(s) x=(1.d0+(a1-b1)*(a1+b1)/s)/2.d0 dx=(x-a1/s1)*(x+a1/s1) c x=.5*(1.+(a-b)/s) c dx=(x*x-a/s) if(dx.gt.0.d0)then x=x+dsqrt(dx) else x=a1/s1 endif psutz=min(0.999999999d0,x) return end c------------------------------------------------------------------------ block data ptdata c----------------------------------------------------------------------- c constants for numerical integration (gaussian weights) c----------------------------------------------------------------------- common /ar3/ x1(7),a1(7) common /ar4/ x4(2),a4(2) common /ar5/ x5(2),a5(2) common /ar8/ x2(4),a2 common /ar9/ x9(3),a9(3) data x1/.9862838,.9284349,.8272013,.6872929,.5152486, *.3191124,.1080549/ data a1/.03511946,.08015809,.1215186,.1572032, *.1855384,.2051985,.2152639/ data x2/.00960736,.0842652,.222215,.402455/ data a2/.392699/ data x4/ 0.339981,0.861136/ data a4/ 0.652145,0.347855/ data x5/.585786,3.41421/ data a5/.853553,.146447/ data x9/.93247,.661209,.238619/ data a9/.171324,.360762,.467914/ end c------------------------------------------------------------------------ subroutine strdo1(x,scale,upv,dnv,sea,str,chm,gl) c------------------------------------------------------------------------ c :::::::::::: duke owens set 1 :::::::::::::::::::::::::::: c------------------------------------------------------------------------ implicit double precision(a-h,o-z) double precision + f(5),a(6,5),b1(3,6,5) data q0,ql1/2.d0,.2d0/ data b1/3.d0,0.d0,0.d0,.419d0,.004383d0,-.007412d0, &3.46d0,.72432d0,-.065998d0,4.4d0,-4.8644d0,1.3274d0, &6*0.d0,1.d0, &0.d0,0.d0,.763d0,-.23696d0,.025836d0,4.d0,.62664d0,-.019163d0, &0.d0,-.42068d0,.032809d0,6*0.d0,1.265d0,-1.1323d0,.29268d0, &0.d0,-.37162d0,-.028977d0,8.05d0,1.5877d0,-.15291d0, &0.d0,6.3059d0,-.27342d0,0.d0,-10.543d0,-3.1674d0, &0.d0,14.698d0,9.798d0,0.d0,.13479d0,-.074693d0, &-.0355d0,-.22237d0,-.057685d0,6.3494d0,3.2649d0,-.90945d0, &0.d0,-3.0331d0,1.5042d0,0.d0,17.431d0,-11.255d0, &0.d0,-17.861d0,15.571d0,1.564d0,-1.7112d0,.63751d0, &0.d0,-.94892d0,.32505d0,6.d0,1.4345d0,-1.0485d0, &9.d0,-7.1858d0,.25494d0,0.d0,-16.457d0,10.947d0, &0.d0,15.261d0,-10.085d0/ wn=1.d0 s= log( log( max(q0,scale)/ql1)/ log(q0/ql1)) do 10 i=1,5 do 10 j=1,6 10 a(j,i)=b1(1,j,i)+s*(b1(2,j,i)+s*b1(3,j,i)) do 40 i=1,5 40 f(i)=a(1,i)*x**a(2,i)*(wn-x)**a(3,i)*(wn+x* & (a(4,i)+x*(a(5,i)+x*a(6,i)))) do 50 i=1,2 aa=wn+a(2,i)+a(3,i) 50 f(i)=f(i)*utgam2(aa)/((wn+a(2,i)*a(4,i)/aa) &*utgam2(a(2,i))*utgam2(wn+a(3,i))) upv=f(1)-f(2) dnv=f(2) sea=f(3)/6.d0 str=sea chm=f(4) gl =f(5) return end c------------------------------------------------------------------------ function fzeroGluZZ(z,k) ! former psftild c----------------------------------------------------------------------- c c fzeroGluZZComplete = fzeroGluZZ * z^(-1-dels) * gamsoft * gamhad c c A = 8*pi*s0*gampar*gamtilde c integration over semihard pomeron light cone momentum share xp==u c c fzeroGluZZ = (1-glusea) * engy^epszero c * int(du) u^(epszero-alppar+dels) (1-u)^alplea * (1-z/u)**betpom c c z - light cone x of the gluon, c k - hadron class c----------------------------------------------------------------------- double precision xpmin,xp include 'epos.inc' common /ar3/ x1(7),a1(7) include 'epos.incsem' fzeroGluZZ=0. xpmin=z xpmin=xpmin**(1.-alppar+dels+epszero) do i=1,7 do m=1,2 xp=(.5*(1.+xpmin+(2*m-3)*x1(i)*(1.-xpmin)))**(1./ * (1.-alppar+dels+epszero)) fzeroGluZZ=fzeroGluZZ+a1(i)*(1.-xp)**alplea(k)*(1.-z/xp)**betpom enddo enddo fzeroGluZZ= * fzeroGluZZ*.5*(1.-xpmin)/(1.-alppar+dels+epszero) * *(1.-glusea) *engy**epszero return end c------------------------------------------------------------------------ function fzeroSeaZZ(z,k) ! former psftile c----------------------------------------------------------------------- c c fzeroSeaZZComplete = fzeroSeaZZ * z^(-1-dels) * gamsoft * gamhad c c gamsoft = 8*pi*s0*gampar*gamtilde c integration over semihard pomeron light cone momentum share xp==u c c fzeroSeaZZ = glusea * engy^epszero c * int(du) u^(epszero-alppar+dels) (1-u)^alplea * EsoftQZero(z/u) c c z - light cone x of the quark, c k - hadron class c----------------------------------------------------------------------- double precision xpmin,xp common /ar3/ x1(7),a1(7) include 'epos.inc' include 'epos.incsem' fzeroSeaZZ=0. xpmin=z xpmin=xpmin**(1.-alppar+dels+epszero) do i=1,7 do m=1,2 xp=(.5*(1.+xpmin+(2*m-3)*x1(i)*(1.-xpmin)))**(1./ * (1.-alppar+dels+epszero)) zz=z/xp fzeroSeaZZ=fzeroSeaZZ+a1(i)*(1.-xp)**alplea(k)*EsoftQZero(zz) enddo enddo fzeroSeaZZ=fzeroSeaZZ*.5*(1.-xpmin)/(1.-alppar+dels+epszero) * *glusea *engy**epszero return end c######################################################################## c######################################################################## subroutine psaini c######################################################################## c######################################################################## c----------------------------------------------------------------------- c common initialization procedure c if isetcs = 0, alpD, betD, etc ... in inirj are not used and xkappa=1 c if isetcs = 1, alpD, betD, etc ... in inirj are not used but xkappa.ne.1 c if isetcs = 2, alpD, betD, xkappa, etc ... in inirj are used and c cross section from calculation in inics are read. c if epos.inics doesn't exist, it produces only the calculated part of it. c if isetcs = 3, alpD, betD, xkappa, etc ... in inirj are used and c cross section from simulation in inics are read. c if epos.inics doesn't exist, it produces the calculated AND the c simulated part of it. c----------------------------------------------------------------------- include 'epos.inc' include 'epos.incpar' include 'epos.incsem' logical lcalc!,lcalc2 c double precision om5p,xh,yh,v3pom(4),om2p dimension gamhad0(nclha),r2had0(nclha),chad0(nclha) *,alplea0(nclha),asect1(7,4,7),asect2(7,4,7),asect3(7,7,7) *,asect4(7,7,7)!,cgam(idxD) common /psar2/ edmax,epmax common /psar4/ fhgg(11,10,8),fhqg(11,10,80) *,fhgq(11,10,80),fhqq(11,10,80),fhgg0(11,10),fhgg1(11,10,4) *,fhqg1(11,10,40),fhgg01(11),fhgg02(11),fhgg11(11,4) *,fhgg12(11,4),fhqg11(11,10,4),fhqg12(11,10,4) *,ftoint(11,14,2,2,3) common /psar7/ delx,alam3p,gam3p common /psar9/ alpr common /psar15/ sudx(40,2) common /psar19/ cstot(20,20,240) common /psar20/ csord(20,20,240) common /psar21/ csbor(20,160,2) common /psar22/ cstotzero(20,4,2),csborzer(20,4,2) common /psar23/ cschar(20,20,2) common /psar25/ csdsi(21,21,104) common /psar27/ csds(21,26,4),csdt(21,26,2),csdr(21,26,2) common /psar33/ asect(7,4,7),asectn(7,7,7) common /psar34/ rrr,rrrm common /psar35/ anorm,anormp common /psar41/ rrrp,rrrmp common /psar36/ alvc common /psar37/ coefom1,coefom2 common /psar38/ vfro(11,14,3,2) common /psar39/ vnorm(11,14,3,2,2) c$$$ common /psar40/ coefxu1(idxD,nclha,10) c$$$ *,coefxu2(idxD,idxD,nclha,10),coefxc2(idxD,idxD,nclha,10) common /ar3/ x1(7),a1(7) common /testj/ ajeth(4),ajete(5),ajet0(7) parameter(nbkbin=40) common /kfitd/ xkappafit(nclegy,nclha,nclha,nbkbin),xkappa,bkbin common/geom/rmproj,rmtarg,bmax,bkmx character textini*38 external ptfau,ptfauAA call utpri('psaini',ish,ishini,4) do i=1,4 ajeth(i)=0. enddo do i=1,5 ajete(i)=0. ajet0(i)=0. enddo ajet0(6)=0. ajet0(7)=0. if(isetcs.le.1)then !for Kfit bkbin=0.3 else bkbin=0.1 endif xkappa=1. edmax=edmaxi !1.e12 defined in epos-bas epmax=epmaxi !1.e12 defined in epos-bas c fix enhanced diagrams at minimum energy = 2.5 delx=1.5 !sqrt(egymin*egymin/exp(1.)) alam3p=.6 gam3p=.1 c interface to 'bas' c ---------------- dels=alppom-1. alpqua=(alppar+1.)/2. if(abs(alpqua).lt.1.e-6)call utstop('alpar should not be -1 !&') alpr=-2.+alpqua !x-exponent for remnant mass c omega coeffs c ---------------- coefom0=utgam1(1.+dels-alppar)*utgam1(1.+alplea(iclpro)) */utgam1(2.+alplea(iclpro)+dels-alppar) **utgam1(1.+dels-alppar)*utgam1(1.+alplea(icltar)) */utgam1(2.+alplea(icltar)+dels-alppar) coefom1=1.-utgam1(1.+dels-alppar)**2*utgam1(1.+alplea(iclpro)) */utgam1(1.+alplea(iclpro)+2.*(1.+dels-alppar)) **utgam1(1.+dels-alppar)**2*utgam1(1.+alplea(icltar)) */utgam1(1.+alplea(icltar)+2.*(1.+dels-alppar))/coefom0**2 coefom2=3.*coefom1-1. *+utgam1(1.+dels-alppar)**3*utgam1(1.+alplea(iclpro)) */utgam1(1.+alplea(iclpro)+3.*(1.+dels-alppar)) **utgam1(1.+dels-alppar)**3*utgam1(1.+alplea(icltar)) */utgam1(1.+alplea(icltar)+3.*(1.+dels-alppar))/coefom0**3 if(ish.ge.4)write(ifch,*)'coefom',coefom0,coefom1,coefom2,delx c soft pomeron: abbreviations c--------------------------------------- if(iappl.eq.1.or.iappl.eq.8.or.iappl.eq.9)then c--------------------------------------- c auxiliary constants: c--------------------------------------- stmass=.05 !string mass cutoff c--------------------------------------- c parton density normalization sq=log(log(q2min/.232**2)/log(.23/.232**2)) du=2.997+.753*sq-.076*sq*sq qnorm=0. do i=1,7 do m=1,2 xx=.5+x1(i)*(m-1.5) xxq=1.-xx**(1./(1.+du)) qnorm=qnorm+a1(i)*(psdfh4(xxq,q2min,0.,2,1)+ * psdfh4(xxq,q2min,0.,2,2))/(1.-xxq)**du enddo enddo qnorm=qnorm*.5/(1.+du) qnormp=qnorm ckkkkk----------------------------- c rr=(1.-qnorm)/4./pi/gamhad(2) c * *utgam1(2.+betpom-dels)/utgam1(1.-dels) c * /utgam1(1.+betpom)/utgam1(1.+alplea(2))/ c * utgam1(2.-alppar)*utgam1(3.+alplea(2)-alppar) c ffrr=(1.-qnorm)/4./pi/gamhad(2) c * *utgam1(2.+betpom-dels)/utgam1(1.-dels) c * /utgam1(1.+betpom) c write(6,*)'===========',ffrr ffrr=gamtil rr=ffrr * /utgam1(1.+alplea(2))/ * utgam1(2.-alppar)*utgam1(3.+alplea(2)-alppar) gamsoft=rr*4.*pi ckkkkkkk------------------------------- if(ish.ge.4)write (ifch,*)'rr,qnorm',rr,qnorm sq=log(log(q2min/.232**2)/log(.25/.232**2)) dpi=.367+.563*sq qnorm=0. do i=1,7 do m=1,2 xx=.5+x1(i)*(m-1.5) xxq=1.-xx**(1./(1.+dpi)) qnorm=qnorm+a1(i)*(psdfh4(xxq,q2min,0.,1,1)+ * psdfh4(xxq,q2min,0.,1,2))/(1.-xxq)**dpi enddo enddo qnorm=qnorm*.5/(1.+dpi) cftmp=1./(1.-qnormp)*(1.-qnorm) * *utgam1(alplea(2)+1.)/utgam1(alplea(2)+3.-alppar) * /utgam1(alplea(1)+1.)*utgam1(alplea(1)+3.-alppar) gamhad(1)=gamhad(2)*cftmp if(gamhadsi(1).lt.0.)then gamhads(1)=gamhad(1) else gamhads(1)=gamhadsi(1) endif if(ish.ge.4) * write (ifch,*)'gamhad(1),gamhads(1)',gamhad(1),gamhads(1) if(gamhadsi(2).lt.0.)then gamhads(2)=gamhad(2) else gamhads(2)=gamhadsi(2) endif if(ish.ge.4) * write (ifch,*)'gamhad(2),gamhads(2)',gamhad(2),gamhads(2) qnorm=0. do i=1,7 do m=1,2 xx=.5+x1(i)*(m-1.5) xxq=1.-xx**(1./(1.+dpi)) qnorm=qnorm+a1(i)*(psdfh4(xxq,q2min,0.,1,1)+ * psdfh4(xxq,q2min,0.,1,2))/(1.-xxq)**dpi enddo enddo qnorm=qnorm*.5/(1.+dpi) cftmp=1./(1.-qnormp)*(1.-qnorm) * *utgam1(alplea(2)+1.)/utgam1(alplea(2)+3.-alppar) * /utgam1(alplea(3)+1.)*utgam1(alplea(3)+3.-alppar) gamhad(3)=gamhad(2)*cftmp if(gamhadsi(3).lt.0.)then gamhads(3)=gamhad(3) else gamhads(3)=gamhadsi(3) endif if(ish.ge.4) * write (ifch,*)'gamhad(3),gamhads(3)',gamhad(3),gamhads(3) quamas=.35 gamhad(4)=gamhad(1)*(quamas/qcmass)**2 if(gamhadsi(4).lt.0.)then gamhads(4)=gamhad(4) else gamhads(4)=gamhadsi(4) endif if(ish.ge.4) * write (ifch,*)'gamhad(4),gamhads(4)',gamhad(4),gamhads(4) gnorm=0. do i=1,7 do m=1,2 xx=.5+x1(i)*(m-1.5) xxg=xx**(1./(1.-dels)) gnorm=gnorm+a1(i)*(fzeroGluZZ(xxg,4)+fzeroSeaZZ(xxg,4)) enddo enddo gnorm=gnorm/(1.-dels)*2.*pi*gamhad(4)*rr alvc=6./(1.-gnorm)-4. if(ish.ge.4) write (ifch,*)'rr,qnorm,gnorm,alvc', * rr,qnorm,gnorm,alvc c write (*,*)'rr-c,qnorm,gnorm,alvc',rr,qnorm,gnorm,alvc endif c----------------------------------------------- c tabulation of inclusive jet cross sections c-------------------------------------------------- do i=1,40 qi=q2min*exp(.5*(i-1)) sudx(i,1)=psudx(qi,1) sudx(i,2)=psudx(qi,2) enddo if(ish.ge.4)write(ifch,*)'bare cross sections ...' call psaevc ccc call MakeCSTable inquire(file=fnii(1:nfnii),exist=lcalc) if(lcalc)then if(inicnt.eq.1)then write(ifmt,'(3a)')'read from ',fnii(1:nfnii),' ...' open(1,file=fnii(1:nfnii),status='old') read (1,*)qcdlam0,q2min0,q2ini0,naflav0,epmax0,pt2cut0 if(qcdlam0.ne.qcdlam)write(ifmt,'(a)')'initl: wrong qcdlam' if(q2min0 .ne.q2min )write(ifmt,'(a)')'initl: wrong q2min' if(q2ini0 .ne.q2ini )write(ifmt,'(a)')'initl: wrong q2ini' if(naflav0.ne.naflav)write(ifmt,'(a)')'initl: wrong naflav' if(epmax0 .ne.epmax )write(ifmt,'(a)')'initl: wrong epmax' if(pt2cut0 .ne.pt2cut )write(ifmt,'(a)')'initl: wrong pt2cut' if(qcdlam0.ne.qcdlam.or.q2min0 .ne.q2min .or.q2ini0 .ne.q2ini * .or.naflav0.ne.naflav.or.epmax0 .ne.epmax.or. pt2cut.ne.pt2cut0) * then write(ifmt,'(//a//)')' initl has to be reinitialized!!!' stop endif read (1,*)csbor,csord,cstot,cstotzero,csborzer close(1) endif goto 1 endif write(ifmt,'(a)')'initl does not exist -> calculate tables ...' write (*,*)'Born xsection csbor' spmin=4.*q2min spminc=4.*q2min+qcmass**2 do m=1,4 !parton type at upper end of the ladder (1...4 - g,u,d,c) do k=1,20 if(m.ne.4)then sk=spmin*(epmax/2./spmin)**((k-1)/19.) p1=sk else sk=spminc*(epmax/2./spminc)**((k-1)/19.) p1=sk/(1.+qcmass**2/sk) endif qmax=p1/4. do i=1,20 qq=q2min*(qmax/q2min)**((i-1)/19.) do l=1,2 !parton type at lower end of the ladder k1=k+20*(m-1)+80*(l-1) m1=m-1 if(m.eq.3.and.l.eq.1)then !dd~ l1=-m1 else !du l1=l-1 endif !born cr.-sect. csbor(i,k1,1)=log(max(1.e-30,psborn(qq,qq,qq,sk,m1,l1,0,0))) if(m.ne.4)then csbor(i,k1,2)=log(max(1.e-30,psborn(4.*qq,qq,qq,sk,m1,l1,1,0))) endif enddo enddo enddo enddo write (*,*)'ordered jet xsection csord' do m=1,4 !parton type at upper end of the ladder do k=1,20 write (*,*)' m=',m,'/4 k=',k,'/20' if(m.ne.4)then sk=spmin*(epmax/2./spmin)**((k-1)/19.) !c.m. energy squared for the hard p1=sk else sk=spminc*(epmax/2./spminc)**((k-1)/19.) p1=sk/(1.+qcmass**2/sk) endif qmax=p1/4. tmax=p1/2. do i=1,20 !cross-sections initialization qi=q2min*(qmax/q2min)**((i-1)/19.) do j=1,20 qq=qi*(qmax/qi)**((j-1)/19.) if(p1.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/p1)) else tmin=2.*qq endif do l=1,2 !parton type at lower end of the ladder m1=m-1 if(m.eq.3.and.l.eq.1)then l1=-m1 else l1=l-1 endif if(m.ne.4)then k1=k+20*(m-1)+60*(l-1) if(k.eq.1.or.i.eq.20.or.j.eq.20)then csord(i,j,k1)=log(max(1.e-30,psborn(qi,qq,qq,sk,m1,l1,0,0))) csord(i,j,k1+120)= * log(max(1.e-30,psborn(4.*qq,qi,qq,sk,l1,m1,1,0))) else csord(i,j,k1)=log(psjet1(qi,qq,qq,sk,m1,l1,0) * /(1./tmin-1./tmax)+psborn(qi,qq,qq,sk,m1,l1,0,0)) csord(i,j,k1+120)=log(psjet1(qi,4.*qq,qq,sk,m1,l1,2) * /(1./tmin-1./tmax)+psborn(4.*qq,qi,qq,sk,l1,m1,1,0)) endif elseif(j.eq.1)then if(k.eq.1.or.i.eq.20)then cschar(i,k,l)=log(max(1.e-30,psborn(q2min,qi,qq,sk,m1,l1,0,0))) else cschar(i,k,l)=log(psjet1(qi,q2min,qq,sk,l1,m1,0) * /(1./tmin-1./tmax)+psborn(q2min,qi,qq,sk,m1,l1,0,0)) endif endif enddo enddo enddo enddo enddo write (ifmt,*)'tests:' write (ifmt,'(a,a)')' n-1 sk qi qj qq ' * ,' born born-i ord ord-i ' do k=1,7 sk=spmin*(epmax/2./spmin)**((k-1)/19.) if(k.ge.5)sk=spmin*1.5**(k-4) do n=1,2 if(n.eq.1)then qmax1=sk/4. qmax2=sk/4. elseif(n.eq.2)then qmax1=sk/4. qmax2=sk endif do i=1,3 qi=q2min*(qmax1/q2min)**((i-1)/3.) do j=1,3 qj=q2min*(qmax2/q2min)**((j-1)/3.) qqmax=sk/4. if(n.eq.1)then qqmin=max(qi,qj) else qqmin=max(qi,qj/4.) endif do lq=1,3 qq=qqmin*(qqmax/qqmin)**((lq-1)/3.) if(sk.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/sk)) else tmin=2.*qq endif tmax=sk/2. do m=1,1 !parton type at upper end of the ladder (1 do l=1,1 !parton type at lower end of the ladder (1 m1=m-1 if(m.eq.3.and.l.eq.1)then l1=-m1 else l1=l-1 endif a=psborn(qj,qi,qq,sk,l1,m1,n-1,0)*(1./tmin-1./tmax) b=psbint(qj,qi,qq,sk,l1,m1,n-1) c=psjet1(qi,qj,qq,sk,m1,l1,2*(n-1)) * +psborn(qj,qi,qq,sk,l1,m1,n-1,0)*(1./tmin-1./tmax) d=psjti1(qi,qj,qq,sk,m1,l1,n-1) write (ifmt,'(i3,4f9.1,3x,4f9.4)')n-1,sk,qi,qj,qq,a,b,c,d enddo enddo enddo enddo enddo enddo enddo write (*,*)'jet xsection cstot' do k=1,20 write (*,*)'k=',k,'/20' sk=spmin*(epmax/2./spmin)**((k-1)/19.) !c.m. energy squared for the hard qmax=sk/4. tmax=sk/2. do i=1,20 !cross-sections initialization do n=1,2 if(n.eq.1)then qi=q2min*(qmax/q2min)**((i-1)/19.) else qi=q2min*(4.*qmax/q2min)**((i-1)/19.) endif do j=1,20 if(n.eq.1)then qq=qi*(qmax/qi)**((j-1)/19.) else qq=max(q2min,qi/4.)*(qmax/max(q2min,qi/4.))** * ((j-1)/19.) endif if(sk.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/sk)) else tmin=2.*qq endif do m=1,3 !parton type at upper end of the ladder (1 do l=1,2 !parton type at lower end of the ladder (1 m1=m-1 if(m.eq.3.and.l.eq.1)then l1=-m1 else l1=l-1 endif k1=k+20*(m-1)+60*(l-1)+120*(n-1) if(k.eq.1.or.i.eq.20.or.j.eq.20)then cstot(i,j,k1)=log(max(1.e-30,psborn(qi,q2min,qq,sk,m1,l1,n-1,0))) else if(n.eq.1)then cstot(i,j,k1)=log((psjet(qi,q2min,qq,sk,m1,l1,0)+ * psjti1(qi,q2min,qq,sk,m1,l1,0)+ * psjti1(q2min,qi,qq,sk,l1,m1,0) * -psbint(qi,q2min,qq,sk,m1,l1,0))/(1./tmin-1./tmax)) else cstot(i,j,k1)=log((psjet(qi,q2min,qq,sk,m1,l1,1)+ * psjet1(qi,q2min,qq,sk,m1,l1,1)+ * psjti1(q2min,qi,qq,sk,l1,m1,1))/(1./tmin-1./tmax)) endif endif enddo enddo enddo enddo enddo enddo c total and born hard cross-sections logarithms for minimal cutoff c (q2min), interpolated in the psjti0 procedure 2 spmin=4.*q2min spminc=4.*q2min+qcmass**2 do m=1,4 do l=1,2 m1=m-1 if(m.eq.3.and.l.eq.1)then l1=-m1 else l1=l-1 endif do k=1,20 if(m.ne.4)then sk=spmin*(epmax/2./spmin)**((k-1)/19.) !c.m. energy squared for the hard p1=sk qq=q2min else sk=spminc*(epmax/2./spminc)**((k-1)/19.) p1=sk/(1.+qcmass**2/sk) qq=q2min endif if(p1.gt.4.*qq)then tmin=2.*qq/(1.+sqrt(1.-4.*qq/p1)) else tmin=2.*qq endif tmax=p1/2. k1=k+20*(m-1)+80*(l-1) csborzer(k,m,l) * =log(max(1.e-30,psborn(q2min,q2min,qq,sk,m1,l1,0,0))) if(k.eq.1)then cstotzero(k,m,l)=csborzer(k,m,l) elseif(m.ne.4)then cstotzero(k,m,l)=log(psjti(q2min,qq,sk,m1,l1,0)/ * (1./tmin-1./tmax)) else smins=2.5*q2min*(1.+sqrt(1.+4.*qcmass**2/q2min)) if(sk.le.smins)then cstotzero(k,m,l)=log(psjci(q2min,sk,l1)/(1./tmin-1./tmax)) else cstotzero(k,m,l)=log((psjci(q2min,sk,l1)+psjct(sk,l1)) * /(1./tmin-1./tmax)) endif endif enddo enddo enddo write(ifmt,'(a)')'write to initl ...' open(1,file=fnii(1:nfnii),status='unknown') write (1,*)qcdlam,q2min,q2ini,naflav,epmax,pt2cut write (1,*)csbor,csord,cstot,cstotzero,csborzer,cschar close(1) 1 continue if(iappl.ne.8)goto 3 if(ish.ge.3)write(ifch,*)'dis cross sections ...' inquire(file=fnid(1:nfnid),exist=lcalc) if(lcalc)then if(inicnt.eq.1)then write(ifmt,'(3a)')'read from ',fnid(1:nfnid),' ...' open(1,file=fnid(1:nfnid),status='old') read (1,*)qcdlam0,q2min0,q2ini0,naflav0,epmax0,edmax0 if(qcdlam0.ne.qcdlam)write(ifmt,'(a)')'inidi: wrong qcdlam' if(q2min0 .ne.q2min )write(ifmt,'(a)')'inidi: wrong q2min' if(q2ini0 .ne.q2ini )write(ifmt,'(a)')'inidi: wrong q2ini' if(naflav0.ne.naflav)write(ifmt,'(a)')'inidi: wrong naflav' if(epmax0 .ne.epmax )write(ifmt,'(a)')'inidi: wrong epmax' if(edmax0 .ne.edmax )write(ifmt,'(a)')'inidi: wrong edmax' if(qcdlam0.ne.qcdlam.or.q2min0 .ne.q2min.or.q2ini0 .ne.q2ini * .or.naflav0.ne.naflav.or.epmax0 .ne.epmax * .or.edmax0 .ne.edmax)then write(ifmt,'(//a//)')' inidi has to be reinitialized!!!' stop endif read (1,*)csdsi,csds,csdt,csdr close(1) endif goto 3 endif write(ifmt,'(a)')'inidi does not exist -> calculate tables ...' do j=1,21 qq=q2min*exp(.5*(j-1)) !photon virtuality do m=1,2 !parton type at the end of the ladder q2mass=qcmass**2 s2min=4.*max(q2mass,q2min)+qq if(m.eq.2)s2min=s2min/(1.-4.*q2ini/(s2min-qq)) do k=1,26 write (*,*)'sin,j,m,k',j,m,k sk=s2min*(edmax/s2min)**(.04*(k-1)) !c.m. energy squared if(k.eq.26)sk=1.01*sk qmin=q2min if(m.eq.1)then qmax=(sk-qq)/4. else qmax=(sk-qq+sqrt((sk-qq)**2-16.*sk*q2ini))/8. endif do i=1,21 !cross-sections calculation qi=qmin*(qmax/qmin)**((i-1)/20.) tmax=.5*sk qtq=4.*max(q2mass,qi)/(sk-qq) if(qtq.lt.1.)then tmin=.5*sk*qtq/(1.+sqrt(1.-qtq)) else tmin=.5*sk endif do ilong=1,2 k1=k+26*(m-1)+52*(ilong-1) if(m.eq.1)then if(tmax.gt.1.01*tmin)then sij=psds(qi,qq,sk,m-1,ilong-1) if(sij.lt.0.)write (*,*)'qi,qq,sk,m,long,sij', * qi,qq,sk,m,ilong,sij csdsi(i,j,k1)=log(max(0.,sij)/(1./tmin-1./tmax) * +psdbor(qi,qq,sk,ilong-1)) else csdsi(i,j,k1)= * log(max(1.e-25,psdbor(qi,qq,sk,ilong-1))) endif else csdsi(i,j,k1)=psds(qi,qq,sk,m-1,ilong-1) endif enddo enddo enddo enddo enddo 800 continue do j=1,21 qq=q2min*exp(.5*(j-1)) !photon virtuality s2min=max(4.*qq,16.*q2min) !pt2dis=qq do m=1,2 do k=1,26 do ilong=1,2 k1=k+26*(m-1)+52*(ilong-1) csds(j,k,m+2*(ilong-1))=csdsi(1,j,k1) enddo sk=(s2min+qq)*(edmax/(s2min+qq))**(.04*(k-1)) csdt(j,k,m)=psdres(qq,sk,s2min,m-1) csdr(j,k,m)=psdrga(qq,sk-qq,s2min,m-1) enddo enddo enddo write(ifmt,'(a)')'write to inidi ...' write(ifmt,'(a)')'write to inidi ...' open(1,file=fnid(1:nfnid),status='unknown') write (1,*)qcdlam,q2min,q2ini,naflav,epmax,edmax write (1,*)csdsi,csds,csdt,csdr close(1) 3 continue c--------------------------------------- c tabulation of semihard eikonals c--------------------------------------- !!!!!!!!! if(iappl.eq.1)then if(ish.ge.4)write(ifch,*)'semihard eikonals ...' 5 continue inquire(file=fnrj,exist=lcalc) if(lcalc)then if(inicnt.eq.1)then write(ifmt,'(3a)')'read from ',fnrj(1:nfnrj),' ...' open(1,file=fnrj(1:nfnrj),status='old') read (1,*)alpqua0,alplea0,alppom0,slopom0, * gamhad0,r2had0,chad0, * qcdlam0,q2min0,q2ini0,betpom0,glusea0,naflav0, * factk0,pt2cut0,gamtil0 if(alpqua0.ne.alpqua)write(ifmt,'(a,2f8.4)') * 'inirj: wrong alpqua',alpqua0,alpqua if(alppom0.ne.alppom)write(ifmt,'(a,2f8.4)') * 'inirj: wrong alppom',alppom0,alppom if(slopom0.ne.slopom)write(ifmt,'(a,2f8.4)') * 'inirj: wrong slopom',slopom0,slopom iii=2 if(gamhad0(iii).ne.gamhad(iii))write(ifmt,'(a,i1,a,2f8.4)') * 'inirj: wrong gamhad(',iii,')',gamhad0(iii),gamhad(iii) do iii=1,3 if(r2had0(iii) .ne.r2had(iii) )write(ifmt,'(a,i1,a,2f8.4)') * 'inirj: wrong r2had(',iii,')',r2had0(iii),r2had(iii) if(chad0(iii) .ne.chad(iii) )write(ifmt,'(a,i1,a,2f8.4)') * 'inirj: wrong chad(',iii,')',chad0(iii),chad(iii) if(alplea0(iii).ne.alplea0(iii))write(ifmt,'(a,i1,a,2f8.4)') * 'inirj: wrong alplea(',iii,')',alplea0(iii),alplea(iii) enddo if(qcdlam0.ne.qcdlam)write(ifmt,'(a,2f8.4)') * 'inirj: wrong qcdlam',qcdlam0,qcdlam if(q2min0 .ne.q2min )write(ifmt,'(a,2f8.4)') * 'inirj: wrong q2min',q2min0,q2min if(q2ini0 .ne.q2ini )write(ifmt,'(a,2f8.4)') * 'inirj: wrong q2ini',q2ini0,q2ini if(betpom0.ne.betpom)write(ifmt,'(a,2f8.4)') * 'inirj: wrong betpom',betpom0,betpom if(glusea0.ne.glusea)write(ifmt,'(a,2f8.4)') * 'inirj: wrong glusea',glusea0,glusea if(naflav0.ne.naflav)write(ifmt,'(a,2f8.4)') * 'inirj: wrong naflav',naflav0,naflav if(factk0 .ne.factk )write(ifmt,'(a,2f8.4)') * 'inirj: wrong factk', factk0,factk if(pt2cut0 .ne.pt2cut )write(ifmt,'(a,2f8.4)') * 'inirj: wrong pt2cut', pt2cut0,pt2cut if(gamtil0 .ne.gamtil )write(ifmt,'(a,2f8.4)') * 'inirj: wrong gamtil', gamtil0,gamtil if(alpqua0.ne.alpqua.or.alppom0.ne.alppom * .or.slopom0.ne.slopom.or.gamhad0(2).ne.gamhad(2) * .or.r2had0(1).ne.r2had(1).or.r2had0(2).ne.r2had(2) * .or.r2had0(3).ne.r2had(3) * .or.chad0(1).ne.chad(1).or.chad0(2).ne.chad(2) * .or.chad0(3).ne.chad(3) * .or.alplea0(1).ne.alplea(1).or.alplea0(2).ne.alplea(2) * .or.alplea0(3).ne.alplea(3) * .or.qcdlam0.ne.qcdlam.or.q2min0 .ne.q2min * .or.q2ini0 .ne.q2ini.or.gamtil0.ne.gamtil * .or.betpom0.ne.betpom.or.glusea0.ne.glusea.or.naflav0.ne.naflav * .or.factk0 .ne.factk .or.pt2cut0.ne.pt2cut)then write(ifmt,'(//a//)')' inirj has to be reinitialized!!!!' stop endif read(1,*)fhgg,fhqg,fhgq,fhqq,fhgg0,fhgg1,fhqg1 * ,fhgg01,fhgg02,fhgg11,fhgg12,fhqg11,fhqg12 * ,ftoint,vfro,vnorm,coefxu1,coefxu2,coefxc2 read(1,*)bkbin0,iclpro10,iclpro20,icltar10,icltar20,iclegy10 * ,iclegy20,egylow0,egymax0,iomega0,egyscr0,epscrw0,epscrp0 if(isetcs.gt.1)then textini=' ' if(iclpro10.ne.iclpro1)write(textini,'(a,2i8)') * 'inirj: wrong iclpro1 ',iclpro10,iclpro1 if(iclpro20.ne.iclpro2)write(textini,'(a,2i8)') * 'inirj: wrong iclpro2 ',iclpro20,iclpro2 if(icltar10.ne.icltar1)write(textini,'(a,2i8)') * 'inirj: wrong icltar1 ',icltar10,icltar1 if(icltar20.ne.icltar2)write(textini,'(a,2i8)') * 'inirj: wrong icltar2 ',icltar20,icltar2 if(iclegy10.ne.iclegy1)write(textini,'(a,2i8)') * 'inirj: wrong iclegy1 ',iclegy10,iclegy1 if(iclegy20.ne.iclegy2)write(textini,'(a,2i8)') * 'inirj: wrong iclegy2 ',iclegy20,iclegy2 if(egylow0.ne.egylow)write(textini,'(a,2f8.4)') * 'inirj: wrong egylow ',egylow0,egylow if(egymax0.ne.egymax)write(textini,'(a,2f8.4)') * 'inirj: wrong egymax ',egymax0,egymax if(epscrw0.ne.epscrw)write(textini,'(a,2f8.4)') * 'inirj: wrong epscrw ',epscrw0,epscrw if(epscrp0.ne.epscrp)write(textini,'(a,2f8.4)') * 'inirj: wrong epscrp ',epscrp0,epscrp if(bkbin0.ne.bkbin)write(textini,'(a,2f8.4)') * 'inirj: wrong bkbin',bkbin0,bkbin if(textini.ne.' ')then write(ifmt,'(//10x,a//10x,a//)')textini, * 'inirj has to be reinitialized!!!!' stop endif do iiipro=iclpro1,iclpro2 do iiitar=icltar1,icltar2 do iiiegy=iclegy1,iclegy2 do iiib=1,nbkbin read(1,*)xkappafit(iiiegy,iiipro,iiitar,iiib) enddo xkappafit(iiiegy,iiipro,iiitar,nbkbin)=1. do iiib=2,nbkbin-1 if(xkappafit(iiiegy,iiipro,iiitar,iiib).lt.1.)then xkappafit(iiiegy,iiipro,iiitar,iiib)=max(1.,0.5* * (xkappafit(iiiegy,iiipro,iiitar,iiib-1) * +xkappafit(iiiegy,iiipro,iiitar,iiib+1))) endif enddo do iiidf=idxD0,idxD read(1,*)alpDs(iiidf,iiiegy,iiipro,iiitar), * alpDps(iiidf,iiiegy,iiipro,iiitar), * alpDpps(iiidf,iiiegy,iiipro,iiitar), * betDs(iiidf,iiiegy,iiipro,iiitar), * betDps(iiidf,iiiegy,iiipro,iiitar), * betDpps(iiidf,iiiegy,iiipro,iiitar), * gamDs(iiidf,iiiegy,iiipro,iiitar), * delDs(iiidf,iiiegy,iiipro,iiitar) enddo enddo enddo enddo endif close(1) endif goto 4 endif write(ifmt,'(a)')'inirj does not exist -> calculate tables ...' engysave=engy maprojsave=maproj matargsave=matarg iclpros=iclpro icltars=icltar spmin=4.*q2min spminc=4.*q2min+2.*qcmass**2 icltar=2 write(ifmt,'(a)')' tabulate om5 ...' do iy=1,11 sy=spmin*(epmax/2./spmin)**((iy-1)/10.) syc=spminc*(epmax/2./spminc)**((iy-1)/10.) iclpro=2 icltar=2 if(iy.eq.1)then fhgg01(iy)=-80. fhgg02(iy)=-80. else fhgg01(iy)=log(om51pp(sy,1.,1.,3)) fhgg02(iy)=log(om51pp(sy,1.,1.,7)) endif do iclpro=iclpro1,iclpro2 if(iy.eq.1)then fhgg11(iy,iclpro)=-80. fhgg12(iy,iclpro)=-80. else fhgg11(iy,iclpro)=log(om51pp(sy,1.,1.,4)) fhgg12(iy,iclpro)=log(om51pp(sy,1.,1.,9)) endif do ix=1,10 if(ix.le.5)then xp=.1*2.**(ix-5) else xp=.2*(ix-5) endif if(iy.eq.1)then fhqg11(iy,ix,iclpro)=-80. fhqg12(iy,ix,iclpro)=-80. elseif(iclpro.eq.4)then fhqg11(iy,ix,iclpro)=log(om51pp(syc,1.,1.,5)) fhqg12(iy,ix,iclpro)=log(om51pp(syc,1.,1.,11)) else fhqg11(iy,ix,iclpro)=log(om51pp(sy,xp,1.,5)) fhqg12(iy,ix,iclpro)=log(om51pp(sy,xp,1.,11)) endif enddo enddo do iz=1,10 z=.1*iz iclpro=2 icltar=2 if(iy.eq.1)then fhgg0(iy,iz)=-80. else fhgg0(iy,iz)=log(om51pp(sy,1.,z,6)/z) endif do iclpro=iclpro1,iclpro2 if(iy.eq.1)then fhgg1(iy,iz,iclpro)=-80. else fhgg1(iy,iz,iclpro)=log(om51pp(sy,1.,z,8)/z) endif do ix=1,10 if(ix.le.5)then xp=.1*2.**(ix-5) else xp=.2*(ix-5) endif if(iy.eq.1)then fhqg1(iy,ix,iz+10*(iclpro-1))=-80. elseif(iclpro.eq.4)then fhqg1(iy,ix,iz+10*(iclpro-1))=log(om51pp(syc,xp,z,10)/z) else fhqg1(iy,ix,iz+10*(iclpro-1))=log(om51pp(sy,xp,z,10)/z) endif enddo enddo enddo enddo do iclpro=iclpro1,iclpro2 !hadron type (1 - pion, 2 - nucleon, 3 - kaon, 4 - charm) do icltar=icltar1,icltar2 !hadron type (2 - nucleon) do iy=1,11 sy=spmin*(epmax/2./spmin)**((iy-1)/10.) syc=spminc*(epmax/2./spminc)**((iy-1)/10.) do iz=1,10 z=.1*iz if(iy.eq.1)then fhgg(iy,iz,iclpro+4*(icltar-1))=-80. else fhgg(iy,iz,iclpro+4*(icltar-1))=log(om51pp(sy,1.,z,0)/z) endif do ix=1,10 if(ix.le.5)then xp=.1*2.**(ix-5) else xp=.2*(ix-5) endif if(iy.eq.1)then fhqg(iy,ix,iz+10*(iclpro+4*(icltar-1)-1))=-80. fhgq(iy,ix,iz+10*(iclpro+4*(icltar-1)-1))=-80. else if(iclpro.ne.4)then syx=sy else syx=syc endif fhqg(iy,ix,iz+10*(iclpro+4*(icltar-1)-1))= * log(om51pp(syx,xp,z,1)/z) if(icltar.ne.4)then syx=sy else syx=syc endif fhgq(iy,ix,iz+10*(iclpro+4*(icltar-1)-1))= * log(om51pp(syx,xp,z,2)/z) endif enddo enddo do ix1=1,10 if(ix1.le.5)then xpp=.1*2.**(ix1-5) else xpp=.2*(ix1-5) endif do ix2=1,10 if(ix2.le.5)then xmm=.1*2.**(ix2-5) else xmm=.2*(ix2-5) endif if(iy.eq.1)then fhqq(iy,ix1,ix2+10*(iclpro+4*(icltar-1)-1))=-80. else if(iclpro.ne.4.and.icltar.ne.4)then syx=sy else syx=syc endif fhqq(iy,ix1,ix2+10*(iclpro+4*(icltar-1)-1))= * log(pshard(syx,xpp,xmm)) endif enddo enddo enddo enddo enddo if(isetcs.gt.1)then write(ifmt,'(a)')' tabulate fit parameters ...' engysave=engy do iclpro=iclpro1,iclpro2 !hadron type (1 - pion, 2 - nucleon, 3 - kaon, 4 - charm) do icltar=icltar1,icltar2 !hadron type (2 - nucleon) do iclegy=iclegy2,iclegy1,-1 call param enddo do iiclegy=iclegy2,iclegy1,-1 engy=egyfac**(iiclegy-1)*egylow call paramini(0) call Kfit(iiclegy) enddo enddo enddo engy=engysave endif write(ifmt,'(a)')' write to inirj ...' open(1,file=fnrj,status='unknown') write (1,*)alpqua,alplea,alppom,slopom,gamhad,r2had,chad, *qcdlam,q2min,q2ini,betpom,glusea,naflav,factk,pt2cut,gamtil write (1,*)fhgg,fhqg,fhgq,fhqq,fhgg0,fhgg1,fhqg1 *,fhgg01,fhgg02,fhgg11,fhgg12,fhqg11,fhqg12 *,ftoint,vfro,vnorm,coefxu1,coefxu2,coefxc2 write(1,*)bkbin,iclpro1,iclpro2,icltar1,icltar2,iclegy1,iclegy2 *,egylow,egymax,iomega,egyscr,epscrw,epscrp do iiipro=iclpro1,iclpro2 do iiitar=icltar1,icltar2 do iiiegy=iclegy1,iclegy2 do iiib=1,nbkbin write(1,*)xkappafit(iiiegy,iiipro,iiitar,iiib) enddo do iiidf=idxD0,idxD write(1,*)alpDs(iiidf,iiiegy,iiipro,iiitar), * alpDps(iiidf,iiiegy,iiipro,iiitar), * alpDpps(iiidf,iiiegy,iiipro,iiitar), * betDs(iiidf,iiiegy,iiipro,iiitar), * betDps(iiidf,iiiegy,iiipro,iiitar), * betDpps(iiidf,iiiegy,iiipro,iiitar), * gamDs(iiidf,iiiegy,iiipro,iiitar), * delDs(iiidf,iiiegy,iiipro,iiitar) enddo enddo enddo enddo close(1) engy=engysave maproj=maprojsave matarg=matargsave iclpro=iclpros icltar=icltars inicnt=1 goto 5 4 continue c-------------------------------------- c inelastic cross sections c--------------------------------------- if(isetcs.ge.2)then !-------------------- if(ish.ge.4)write(ifch,*)'cross sections ...' 6 continue inquire(file=fncs,exist=lcalc) if(lcalc)then if(inicnt.eq.1)then write(ifmt,'(3a)')'read from ',fncs(1:nfncs),' ...' open(1,file=fncs(1:nfncs),status='old') read (1,*)alpqua0,alplea0,alppom0,slopom0, * gamhad0,r2had0,chad0, * qcdlam0,q2min0,q2ini0,betpom0,glusea0,naflav0, * factk0,pt2cut0 if(alpqua0.ne.alpqua)write(ifmt,'(a,2f8.4)') * 'inics: wrong alpqua',alpqua0,alpqua if(alppom0.ne.alppom)write(ifmt,'(a,2f8.4)') * 'inics: wrong alppom',alppom0,alppom if(slopom0.ne.slopom)write(ifmt,'(a,2f8.4)') * 'inics: wrong slopom',slopom0,slopom iii=2 if(gamhad0(iii).ne.gamhad(iii))write(ifmt,'(a,i1,a,2f8.4)') * 'inics: wrong gamhad(',iii,')',gamhad0(iii),gamhad(iii) do iii=1,3 if(r2had0(iii) .ne.r2had(iii) )write(ifmt,'(a,i1,a,2f8.4)') * 'inics: wrong r2had(',iii,')',r2had0(iii),r2had(iii) if(chad0(iii) .ne.chad(iii) )write(ifmt,'(a,i1,a,2f8.4)') * 'inics: wrong chad(',iii,')',chad0(iii),chad(iii) if(alplea0(iii).ne.alplea0(iii))write(ifmt,'(a,i1,a,2f8.4)') * 'inics: wrong alplea(',iii,')',alplea0(iii),alplea(iii) enddo if(qcdlam0.ne.qcdlam)write(ifmt,'(a,2f8.4)') * 'inics: wrong qcdlam',qcdlam0,qcdlam if(q2min0 .ne.q2min )write(ifmt,'(a,2f8.4)') * 'inics: wrong q2min',q2min0,q2min if(q2ini0 .ne.q2ini )write(ifmt,'(a,2f8.4)') * 'inics: wrong q2ini',q2ini0,q2ini if(betpom0.ne.betpom)write(ifmt,'(a,2f8.4)') * 'inics: wrong betpom',betpom0,betpom if(glusea0.ne.glusea)write(ifmt,'(a,2f8.4)') * 'inics: wrong glusea',glusea0,glusea if(naflav0.ne.naflav)write(ifmt,'(a,2f8.4)') * 'inics: wrong naflav',naflav0,naflav if(factk0 .ne.factk )write(ifmt,'(a,2f8.4)') * 'inics: wrong factk', factk0,factk if(pt2cut0 .ne.pt2cut )write(ifmt,'(a,2f8.4)') * 'inics: wrong pt2cut', pt2cut0,pt2cut if(alpqua0.ne.alpqua.or.alppom0.ne.alppom * .or.slopom0.ne.slopom.or.gamhad0(2).ne.gamhad(2) * .or.r2had0(1).ne.r2had(1).or.r2had0(2).ne.r2had(2) * .or.r2had0(3).ne.r2had(3) * .or.chad0(1).ne.chad(1).or.chad0(2).ne.chad(2) * .or.chad0(3).ne.chad(3) * .or.alplea0(1).ne.alplea(1).or.alplea0(2).ne.alplea(2) * .or.alplea0(3).ne.alplea(3) * .or.qcdlam0.ne.qcdlam.or.q2min0 .ne.q2min * .or.q2ini0 .ne.q2ini * .or.betpom0.ne.betpom.or.glusea0.ne.glusea.or.naflav0.ne.naflav * .or.factk0 .ne.factk .or.pt2cut0.ne.pt2cut)then write(ifmt,'(//a//)')' inics has to be reinitialized!!!!' stop endif read(1,*)isetcs0,iclpro10,iclpro20,icltar10,icltar20,iclegy10 * ,iclegy20,egylow0,egymax0,iomega0,egyscr0,epscrw0,epscrp0 if(iclpro10.ne.iclpro1)write(ifmt,'(a,2i2)') * 'inics: wrong iclpro1',iclpro10,iclpro1 if(iclpro20.ne.iclpro2)write(ifmt,'(a,2i2)') * 'inics: wrong iclpro2',iclpro20,iclpro2 if(icltar10.ne.icltar1)write(ifmt,'(a,2i2)') * 'inics: wrong icltar1',icltar10,icltar1 if(icltar20.ne.icltar2)write(ifmt,'(a,2i2)') * 'inics: wrong icltar2',icltar20,icltar2 if(iclegy10.ne.iclegy1)write(ifmt,'(a,2i4)') * 'inics: wrong iclegy1',iclegy10,iclegy1 if(iclegy20.ne.iclegy2)write(ifmt,'(a,2i4)') * 'inics: wrong iclegy2',iclegy20,iclegy2 if(egylow0.ne.egylow)write(ifmt,'(a,2f8.4)') * 'inics: wrong egylow',egylow0,egylow if(egymax0.ne.egymax)write(ifmt,'(a,2f12.4)') * 'inics: wrong egymax',egymax0,egymax if(egyscr0.ne.egyscr)write(ifmt,'(a,2f8.4)') * 'inics: wrong egyscr ',egyscr0,egyscr if(epscrw0.ne.epscrw)write(ifmt,'(a,2f8.4)') * 'inics: wrong epscrw',epscrw0,epscrw if(epscrp0.ne.epscrp)write(ifmt,'(a,2f8.4)') * 'inics: wrong epscrp',epscrp0,epscrp if(isetcs0.lt.isetcs)write(ifmt,'(a,2f8.4)') * 'inics: wrong isetcs',isetcs0,isetcs if(iclpro10.ne.iclpro1.or.iclpro20.ne.iclpro2 * .or.icltar10.ne.icltar1.or.icltar20.ne.icltar2 * .or.iclegy10.ne.iclegy1.or.iclegy20.ne.iclegy2 * .or.egylow0.ne.egylow.or.egymax0.ne.egymax * .or.egyscr0.ne.egyscr.or.epscrw0.ne.epscrw.or.isetcs0.lt.isetcs * .or.epscrp0.ne.epscrp)then write(ifmt,'(//a//)')' inics has to be reinitialized!!!!' stop endif if(isetcs.eq.2)then read (1,*)asect,asect2,asectn,asect4 elseif(isetcs.eq.3)then read (1,*)asect1,asect,asect3,asectn else write(ifmt,'(//a//)')' Wrong isetcs in psaini !!!!' endif close(1) endif goto 7 endif ifradesave=ifrade idprojsave=idproj idprojinsave=idprojin idtargsave=idtarg idtarginsave=idtargin laprojsave=laproj latargsave=latarg maprojsave=maproj matargsave=matarg icltarsave=icltar iclprosave=iclpro engysave=engy pnllsave=pnll elabsave=elab ecmssave=ecms iclegysave=iclegy nrevtsave=nrevt neventsave=nevent ntevtsave=ntevt isetcssave=isetcs noebinsave=noebin isigmasave=isigma bminimsave=bminim bmaximsave=bmaxim bimevtsave=bimevt fctrmxsave=fctrmx isetcs=2 isigma=1 noebin=1 nevent=100 idtarg=1120 idtargin=1120 bminim=0. bmaxim=10000. fctrmx=100. !to get stable pA and AA cross section, this number has to be large ifrade=0 !to save time, no fragmentation write(ifmt,'(a)')'inics does not exist -> calculate tables ...' laproj=-1 maproj=1 icltar=2 do iclpro=1,4 if(iclpro.lt.iclpro1.or.iclpro.gt.iclpro2)then do ie=1,7 do iia=1,7 asect1(ie,iclpro,iia)=0. asect2(ie,iclpro,iia)=0. enddo enddo else do ie=1,7 engy=1.5*10.**(ie-1) call paramini(0) write(ifmt,*)' calcul. ',ie,' (',iclpro,')',engy do iia=1,7 matarg=2**(iia-1) sigine=0. if(matarg.eq.1)then !hadron-proton interaction call psfz(gz2,0.) gin=gz2*pi*10. else call conini rad=radnuc(matarg) bm=rad+2. rrr=rad/difnuc(matarg) rrrm=rrr+log(9.) anorm=1.5/pi/rrr**3/(1.+(pi/rrr)**2)/difnuc(matarg)**2 gin=(ptgau(ptfau,bm,2)+ptgau1(bm,2))*10. !sig_in endif if(ish.ge.3)write (ifch,226)gin 226 format(2x,'psaini: hadron-nucleus cross sections:'/ * 4x,'gin=',e10.3) asect1(ie,iclpro,iia)=log(gin) asect(ie,iclpro,iia)=asect1(ie,iclpro,iia) write(ifmt,*)' matarg,gin :' * ,matarg,gin enddo enddo if(isetcssave.ge.3)then if(iclpro.eq.1)then idprojin=120 elseif(iclpro.eq.2)then idprojin=1120 elseif(iclpro.eq.3)then idprojin=130 endif do ie=1,7 engy=1.5*10.**(ie-1) if(engy.le.egymin)engy=egymin if(engy.ge.egymax)engy=egymax write(ifmt,*)' simul. ',ie,' (',iclpro,')',engy write(ifch,*)' simul. ',ie,' (',iclpro,')',engy do iia=1,7 matarg=2**(iia-1) latarg=min(1,matarg/2) ntevt=0 nrevt=0 pnll=-1. elab=-1. ecms=-1. ekin=-1. call conini call ainit do n=1,nevent ntry=0 222 ntevt=ntevt+1 iret=0 ntry=ntry+1 bimevt=-1. if(ntry.lt.10000)then c if random sign for projectile, set it here idproj=idprojin*(1-2*int(rangen()+0.5d0)) call emsaaa(iret) if(iret.gt.0)goto 222 else ntevt=ntry endif enddo a=pi*bmax**2 if(a.gt.0..and.ntevt.gt.0.)then xs=float(nevent)/float(ntevt)*a*10. write(ifmt,*)' matarg,nevent,ntevt,bmax,xs :' . ,matarg,nevent,ntevt,bmax,xs write(ifch,*)' matarg,nevent,ntevt,bmax,xs :' . ,matarg,nevent,ntevt,bmax,xs asect2(ie,iclpro,iia)=log(xs) else write(ifmt,*)' Problem ? ',iclpro,matarg,bmax,ntevt asect2(ie,iclpro,iia)=0. endif enddo enddo else do ie=1,7 do iia=1,7 asect2(ie,iclpro,iia)=0. enddo enddo endif endif enddo idprojin=1120 iclpro=2 icltar=2 do ie=1,7 engy=1.5*10.**(ie-1) call paramini(0) write(ifmt,*)' calcul. AB ',ie,engy do iia=1,7 maproj=2**(iia-1) laproj=max(1,maproj/2) do iib=1,7 matarg=2**(iib-1) latarg=max(1,matarg/2) sigine=0. if(matarg.eq.1.and.maproj.eq.1)then !proton-proton interaction call psfz(gz2,0.) gin=gz2*pi*10. else call conini if(maproj.eq.1)then rad=radnuc(matarg) bm=rad+2. rrr=rad/difnuc(matarg) rrrm=rrr+log(9.) anorm=1.5/pi/rrr**3/(1.+(pi/rrr)**2)/difnuc(matarg)**2 gin=(ptgau(ptfau,bm,2)+ptgau1(bm,2))*10. !sig_in elseif(matarg.eq.1)then radp=radnuc(maproj) bm=radp+2. rrrp=radp/difnuc(maproj) rrrmp=rrrp+log(9.) anormp=1.5/pi/rrrp**3/(1.+(pi/rrrp)**2)/difnuc(maproj)**2 gin=(ptgau(ptfau,bm,1)+ptgau1(bm,1))*10. !sig_in else rad=radnuc(matarg)+1. radp=radnuc(maproj)+1. bm=rad+radp+2. rrr=rad/difnuc(matarg) rrrm=rrr+log(9.) rrrp=radp/difnuc(maproj) rrrmp=rrrp+log(9.) anorm=1.5/pi/rrr**3/(1.+(pi/rrr)**2)/difnuc(matarg)**2 anormp=1.5/pi/rrrp**3/(1.+(pi/rrrp)**2)/difnuc(maproj)**2 gin=(ptgau(ptfauAA,bm,2)+ptgau2(bm))*10. endif endif if(ish.ge.3)write (ifch,227)gin 227 format(2x,'psaini: nucleus-nucleus cross sections:'/ * 4x,'gin=',e10.3) asect3(ie,iia,iib)=log(gin) asectn(ie,iia,iib)=asect3(ie,iia,iib) write(ifmt,*)' maproj,matarg,gin :' * ,maproj,matarg,gin enddo enddo enddo if(isetcssave.ge.3)then do ie=1,7 engy=1.5*10.**(ie-1) if(engy.le.egymin)engy=egymin if(engy.ge.egymax)engy=egymax write(ifmt,*)' AB xs ',ie,engy write(ifch,*)' AB xs ',ie,engy do iia=1,7 maproj=2**(iia-1) laproj=max(1,maproj/2) do iib=1,7 matarg=2**(iib-1) latarg=max(1,matarg/2) ntevt=0 nrevt=0 pnll=-1. elab=-1. ecms=-1. ekin=-1. call conini call ainit do n=1,nevent ntry=0 223 ntevt=ntevt+1 iret=0 ntry=ntry+1 bimevt=-1. if(ntry.lt.10000)then call emsaaa(iret) if(iret.gt.0)goto 223 else ntevt=ntry endif enddo a=pi*bmax**2 if(a.gt.0..and.ntevt.gt.0.)then xs=float(nevent)/float(ntevt)*a*10. write(ifmt,*)' maproj,matarg,nevent,ntevt,bmax,xs :' & ,maproj,matarg,nevent,ntevt,bmax,xs write(ifch,*)' maproj,matarg,nevent,ntevt,bmax,xs :' & ,maproj,matarg,nevent,ntevt,bmax,xs asect4(ie,iia,iib)=log(xs) else write(ifmt,*)' Problem ? ',maproj,matarg,bmax,ntevt asect4(ie,iia,iib)=0. endif enddo enddo enddo else do ie=1,7 do iia=1,7 do iib=1,7 asect4(ie,iia,iib)=0. enddo enddo enddo endif ifrade=ifradesave idproj=idprojsave idprojin=idprojinsave idtarg=idtargsave idtargin=idtarginsave laproj=laprojsave latarg=latargsave maproj=maprojsave matarg=matargsave icltar=icltarsave iclpro=iclprosave engy=engysave pnll=pnllsave elab=elabsave ecms=ecmssave iclegy=iclegysave nrevt=nrevtsave nevent=neventsave ntevt=ntevtsave isetcs=isetcssave noebin=noebinsave isigma=isigmasave bminim=bminimsave bmaxim=bmaximsave bimevt=bimevtsave fctrmx=fctrmxsave inicnt=1 write(ifmt,'(a)')'write to inics ...' open(1,file=fncs,status='unknown') write (1,*)alpqua,alplea,alppom,slopom,gamhad,r2had,chad, *qcdlam,q2min,q2ini,betpom,glusea,naflav,factk,pt2cut write(1,*)isetcs,iclpro1,iclpro2,icltar1,icltar2,iclegy1,iclegy2 *,egylow,egymax,iomega,egyscr,epscrw,epscrp write (1,*)asect1,asect2,asect3,asect4 close(1) goto 6 7 continue endif !----------isetcs.ge.2----------- call utprix('psaini',ish,ishini,4) return end cc----------------------------------------------------------------------- c function fjetxx(jpp,je1,je2) cc----------------------------------------------------------------------- cc almost exactly psjet, just with Eqcd replaced by fparton cc for testing cc gives indeed the same result as jetx cc so the integration seems correct cc----------------------------------------------------------------------- c double precision xx1,xx2,s2min,xmin,xmax,xmin1,xmax1,t,tmin c *,tmax,sh,z,qtmin,ft,fx1,fx2 c common /ar3/ x1(7),a1(7) c common /ar9/ x9(3),a9(3) c include 'epos.inc' c include 'epos.incsem' c c fjetxx=0. c s=engy*engy c s2min=4.d0*q2min c c zmin=s2min/dble(s) c zmax=1 c c zmin=zmin**(-delh) c zmax=zmax**(-delh) c do i=1,3 c do m=1,2 c z=dble(.5*(zmax+zmin+(zmin-zmax)*(2*m-3)*x9(i)))**(-1./delh) c xmin=dsqrt(z) c sh=z*dble(s) c qtmin=max(dble(q2min),dble(q2ini)/(1.d0-dsqrt(z))) c tmin=max(0.d0,1.d0-4.d0*qtmin/sh) c tmin=2.d0*qtmin/(1.d0+dsqrt(tmin)) c tmax=sh/2.d0 c ft=0.d0 c do i1=1,3 c do m1=1,2 c t=2.d0*tmin/(1.d0+tmin/tmax-dble(x9(i1)*(2*m1-3)) c & *(1.d0-tmin/tmax)) c qt=t*(1.d0-t/sh) c xmax=1.d0-q2ini/qt c xmin=max(dsqrt(z),z/xmax) !xm