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sigremnants.f
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c Function to be integrated with mint, used to generate
c non-singular contributions using standard mint-gen method
c These contributions arise from real graphs without singular regions,
c or, when damping of R/B value is adopted, from the remnant of the
c damping
function sigremnant(xx,ww,ifirst)
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
include 'pwhg_rad.h'
include 'pwhg_flg.h'
include 'pwhg_math.h'
logical pwhg_isfinite
external pwhg_isfinite
real * 8 sigremnant,xx(ndiminteg),ww
integer ifirst
real * 8 xrad(3)
real * 8 xborn(ndiminteg-3)
integer j,alr
real * 8 ttt
real * 8 jac_over_csi,jac_over_csi_p,jac_over_csi_m,
# jac_over_csi_s,jac_over_csi_coll
real * 8 xjac,suppfact
logical valid_emitter
external valid_emitter
if(ifirst.eq.2) then
sigremnant=rad_reg_tot+rad_damp_rem_tot
if(flg_nlotest) call pwhgaccumup
return
endif
do j=1,ndiminteg-3
xborn(j)=xx(j)
enddo
do j=1,3
xrad(j)=xx(ndiminteg-3 + j)
rad_xradremn(j)=xrad(j)
enddo
c regular contributions; any phase space parametrization should be OK
kn_emitter=0
call gen_born_phsp(xborn)
c set scales
call setscalesbtilde
c the following is needed to compute soft and collinear limits
call allborn
call born_suppression(suppfact)
if(flg_withreg.or.(flg_withdamp.and.(
# valid_emitter(0).or.valid_emitter(1).or.valid_emitter(2)))) then
call gen_real_phsp_isr(xrad,
# jac_over_csi,jac_over_csi_p,jac_over_csi_m,jac_over_csi_s)
xjac=jac_over_csi*kn_csi*kn_csimax*kn_jacborn*suppfact*ww*hc2
endif
if(flg_withreg) then
c This subroutine may set the scales with values depending
c upon the real emission kinematics
call setscalesbtlreal
call sigreal_reg(xjac,rad_reg_tot,rad_reg_arr)
if (.not.pwhg_isfinite(rad_reg_tot)) then
rad_reg_tot = 0d0
sigremnant = 0d0
endif
if(flg_nlotest) then
call analysis_driver(rad_reg_tot/suppfact,1)
endif
else
rad_reg_tot=0
endif
if(flg_withdamp) then
rad_damp_rem_tot=0
do alr=1,flst_nalr
rad_damp_rem_arr(alr)=0
enddo
do kn_emitter=0,nlegborn
if(valid_emitter(kn_emitter)) then
if(kn_emitter.le.2) then
c No need to generate phase space; it is already available
call setscalesbtlreal
call sigreal_damp_rem(xjac,ttt,rad_damp_rem_arr)
if (.not.pwhg_isfinite(ttt)) then
ttt = 0d0
sigremnant = 0d0
endif
if(flg_nlotest) then
call analysis_driver(ttt/suppfact,1)
endif
rad_damp_rem_tot=rad_damp_rem_tot+ttt
else
call gen_real_phsp_fsr(xrad,
#jac_over_csi,jac_over_csi_coll,jac_over_csi_s)
xjac=jac_over_csi*kn_csi*kn_csimax
# *kn_jacborn*suppfact*ww*hc2
call setscalesbtlreal
call sigreal_damp_rem(xjac,ttt,rad_damp_rem_arr)
if (.not.pwhg_isfinite(ttt)) then
ttt = 0d0
sigremnant = 0d0
endif
if(flg_nlotest) then
call analysis_driver(ttt/suppfact,1)
endif
rad_damp_rem_tot=rad_damp_rem_tot+ttt
endif
endif
enddo
else
rad_damp_rem_tot=0
endif
sigremnant=rad_reg_tot+rad_damp_rem_tot
end
subroutine sigreal_reg(xjac,sig,r0)
c contributions from real graphs that do not have a singular region
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
include 'pwhg_rad.h'
include 'pwhg_flg.h'
real * 8 xjac,sig,r0(maxprocreal)
integer lreg,lregpr,iret
integer nmomset
parameter (nmomset=10)
real * 8 res(nmomset,maxprocreal),preal(0:3,nlegreal,nmomset),
# cprop
integer equivto(maxprocreal)
real * 8 equivcoef(maxprocreal)
integer j
real * 8 pdf1(-6:6),pdf2(-6:6)
logical ini
data ini/.true./
save ini,equivto,equivcoef
if(ini) then
do lreg=1,flst_nregular
equivto(lreg)=-1
enddo
if(flg_smartsig) then
call randomsave
c generate "nmomset" random real-phase space configurations
call fillmomenta(nlegreal,nmomset,kn_masses,preal)
do lreg=1,flst_nregular
do j=1,nmomset
call realgr(
1 flst_regular(1,lreg),preal(0,1,j),res(j,lreg))
enddo
call compare_vecs_reg(nmomset,lreg,res,lregpr,cprop,iret)
if(iret.eq.0) then
c they are equal
equivto(lreg)=lregpr
equivcoef(lreg)=1
elseif(iret.eq.1) then
c they are proportional
equivto(lreg)=lregpr
equivcoef(lreg)=cprop
endif
enddo
call randomrestore
endif
ini=.false.
endif
c End initialization phase; compute graphs
call pdfcall(1,kn_x1,pdf1)
call pdfcall(2,kn_x2,pdf2)
do lreg=1,flst_nregular
c ----------------
if(equivto(lreg).lt.0) then
call realgr(flst_regular(1,lreg),kn_cmpreal,r0(lreg))
else
r0(lreg)=r0(equivto(lreg))*equivcoef(lreg)
endif
enddo
sig=0
do lreg=1,flst_nregular
r0(lreg)=xjac*r0(lreg)*
# pdf1(flst_regular(1,lreg))*pdf2(flst_regular(2,lreg))
sig=sig+r0(lreg)
enddo
end
subroutine compare_vecs_reg(nmomset,lreg,res,lregpr,cprop,iret)
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
real * 8 ep
parameter (ep=1d-12)
integer nmomset,lreg,lregpr,iret,j,k
real * 8 res(nmomset,*),cprop,rat
do j=1,lreg-1
rat=res(1,lreg)/res(1,j)
do k=1,nmomset
if(abs(1-res(k,lreg)/res(k,j)/rat).gt.ep) goto 10
enddo
if(abs(1-rat).lt.ep) then
iret=0
cprop=1
else
iret=1
cprop=rat
endif
lregpr=j
return
10 continue
enddo
iret=-1
end
subroutine sigreal_damp_rem(xjac,sig,r1)
implicit none
include 'nlegborn.h'
include 'pwhg_flst.h'
include 'pwhg_kn.h'
real * 8 xjac,sig
real * 8 r0(maxalr),r1(maxalr)
integer alr
sig=0
call sigreal_btl0(r0,1)
do alr=1,flst_nalr
if(kn_emitter.eq.flst_emitter(alr)) then
if(kn_emitter.le.2) then
r0(alr)=r0(alr)/((1-kn_y**2)*kn_csi**2)
else
r0(alr)=r0(alr)/((1-kn_y)*kn_csi**2)
endif
r0(alr)=r0(alr)*xjac
r1(alr)=r1(alr)+r0(alr)
sig=sig+r0(alr)
endif
enddo
end