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diff --git a/MatrixElement/DIS/DISBase.cc b/MatrixElement/DIS/DISBase.cc
--- a/MatrixElement/DIS/DISBase.cc
+++ b/MatrixElement/DIS/DISBase.cc
@@ -1,1360 +1,1359 @@
// -*- C++ -*-
//
// This is the implementation of the non-inlined, non-templated member
// functions of the DISBase class.
//
#include "DISBase.h"
#include "ThePEG/Interface/ClassDocumentation.h"
#include "ThePEG/Interface/Switch.h"
#include "ThePEG/Interface/Reference.h"
#include "ThePEG/Interface/Parameter.h"
#include "ThePEG/Persistency/PersistentOStream.h"
#include "ThePEG/Persistency/PersistentIStream.h"
#include "ThePEG/PDT/EnumParticles.h"
#include "ThePEG/MatrixElement/Tree2toNDiagram.h"
#include "Herwig++/Utilities/Maths.h"
#include "ThePEG/PDT/EnumParticles.h"
#include "ThePEG/PDT/StandardMatchers.h"
#include "ThePEG/Repository/EventGenerator.h"
#include "ThePEG/Repository/CurrentGenerator.h"
#include "ThePEG/Helicity/Vertex/AbstractFFVVertex.h"
#include "Herwig++/PDT/StandardMatchers.h"
#include "Herwig++/Models/StandardModel/StandardModel.h"
#include <numeric>
#include "Herwig++/Shower/Base/ShowerProgenitor.h"
#include "Herwig++/Shower/Base/ShowerTree.h"
#include "Herwig++/Shower/Base/Branching.h"
#include "Herwig++/Shower/Base/HardTree.h"
using namespace Herwig;
using namespace ThePEG::Helicity;
// namespace {
// using namespace Herwig;
// using namespace ThePEG::Helicity;
//
// void debuggingMatrixElement(bool BGF,const Lorentz5Momentum & pin,
// const Lorentz5Momentum & p1,
// const Lorentz5Momentum & p2,
// tcPDPtr gluon,
// const Lorentz5Momentum & pl1,
// const Lorentz5Momentum & pl2,
// const Lorentz5Momentum & pq1,
// const Lorentz5Momentum & pq2,
// tcPDPtr lepton1,tcPDPtr lepton2,
// tcPDPtr quark1 ,tcPDPtr quark2,
// Energy2 Q2,double phi, double x2, double x3,
// double xperp, double zp, double xp,
// const vector<double> & azicoeff,
// bool normalize) {
// tcHwSMPtr hwsm=ThePEG::dynamic_ptr_cast<tcHwSMPtr>
// (CurrentGenerator::current().standardModel());
// assert(hwsm);
// vector<AbstractFFVVertexPtr> weakVertex;
// vector<PDPtr> bosons;
// AbstractFFVVertexPtr strongVertex = hwsm->vertexFFG();
// if(lepton1->id()==lepton2->id()) {
// weakVertex.push_back(hwsm->vertexFFZ());
// bosons.push_back(hwsm->getParticleData(ParticleID::Z0));
// weakVertex.push_back(hwsm->vertexFFP());
// bosons.push_back(hwsm->getParticleData(ParticleID::gamma));
// }
// else {
// weakVertex.push_back(hwsm->vertexFFW());
// bosons.push_back(hwsm->getParticleData(ParticleID::Wplus));
// }
// if(!BGF) {
// SpinorWaveFunction l1,q1,qp1;
// SpinorBarWaveFunction l2,q2,qp2;
// VectorWaveFunction gl(p2,gluon,outgoing);
// if(lepton1->id()>0) {
// l1 = SpinorWaveFunction (pl1,lepton1,incoming);
// l2 = SpinorBarWaveFunction(pl2,lepton2,outgoing);
// }
// else {
// l1 = SpinorWaveFunction (pl2,lepton2,outgoing);
// l2 = SpinorBarWaveFunction(pl1,lepton1,incoming);
// }
// if(quark1->id()>0) {
// q1 = SpinorWaveFunction (pq1,quark1,incoming);
// q2 = SpinorBarWaveFunction(pq2,quark2,outgoing);
// qp1 = SpinorWaveFunction (pin,quark1,incoming);
// qp2 = SpinorBarWaveFunction(p1 ,quark2,outgoing);
// }
// else {
// q1 = SpinorWaveFunction (pq2,quark2,outgoing);
// q2 = SpinorBarWaveFunction(pq1,quark1,incoming);
// qp1 = SpinorWaveFunction (p1 ,quark2,outgoing);
// qp2 = SpinorBarWaveFunction(pin,quark1,incoming);
// }
// double lome(0.),realme(0.);
// for(unsigned int lhel1=0;lhel1<2;++lhel1) {
// l1.reset(lhel1);
// for(unsigned int lhel2=0;lhel2<2;++lhel2) {
// l2.reset(lhel2);
// for(unsigned int qhel1=0;qhel1<2;++qhel1) {
// q1.reset(qhel1);
// qp1.reset(qhel1);
// for(unsigned int qhel2=0;qhel2<2;++qhel2) {
// q2.reset(qhel2);
// qp2.reset(qhel2);
// // leading order matrix element
// Complex diagLO(0.);
// for(unsigned int ix=0;ix<weakVertex.size();++ix) {
// VectorWaveFunction inter =
// weakVertex[ix]->evaluate(Q2,3,bosons[ix],l1,l2);
// diagLO += weakVertex[ix]->evaluate(Q2,q1,q2,inter);
// }
// lome += norm(diagLO);
// // real emission matrix element
// for(unsigned int ghel=0;ghel<2;++ghel) {
// gl.reset(2*ghel);
// Complex diagReal(0.);
// for(unsigned int ix=0;ix<weakVertex.size();++ix) {
// VectorWaveFunction inter =
// weakVertex[ix]->evaluate(Q2,3,bosons[ix],l1,l2);
// SpinorWaveFunction off1 =
// strongVertex->evaluate(Q2,5,qp1.particle(),qp1,gl);
// Complex diag1 = weakVertex[ix]->evaluate(Q2,off1,qp2,inter);
// SpinorBarWaveFunction off2 =
// strongVertex->evaluate(Q2,5,qp2.particle(),qp2,gl);
// Complex diag2 = weakVertex[ix]->evaluate(Q2,qp1,off2,inter);
// diagReal += diag1+diag2;
// }
// realme += norm(diagReal);
// }
// }
// }
// }
// }
// double test1 = realme/lome/hwsm->alphaS(Q2)*Q2*UnitRemoval::InvE2;
// double cphi(cos(phi));
// double test2;
// if(normalize) {
// test2 = 8.*Constants::pi/(1.-xp)/(1.-zp)*
// (azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi))*
// (1.+sqr(xp)*(sqr(x2)+1.5*sqr(xperp)));
// }
// else {
// test2 = 8.*Constants::pi/(1.-xp)/(1.-zp)*
// (azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi));
// }
// cerr << "testing RATIO A " << test1/test2 << "\n";
// }
// else {
// SpinorWaveFunction l1,q1,qp1;
// SpinorBarWaveFunction l2,q2,qp2;
// VectorWaveFunction gl(pin,gluon,incoming);
// if(lepton1->id()>0) {
// l1 = SpinorWaveFunction (pl1,lepton1,incoming);
// l2 = SpinorBarWaveFunction(pl2,lepton2,outgoing);
// }
// else {
// l1 = SpinorWaveFunction (pl2,lepton2,outgoing);
// l2 = SpinorBarWaveFunction(pl1,lepton1,incoming);
// }
// if(quark1->id()>0) {
// q1 = SpinorWaveFunction (pq1,quark1 ,incoming);
// q2 = SpinorBarWaveFunction(pq2,quark2 ,outgoing);
// qp2 = SpinorBarWaveFunction(p1 ,quark2 ,outgoing);
// qp1 = SpinorWaveFunction (p2 ,quark1->CC(),outgoing);
// }
// else {
// q1 = SpinorWaveFunction (pq2,quark2 ,outgoing);
// q2 = SpinorBarWaveFunction(pq1,quark1 ,incoming);
// qp2 = SpinorBarWaveFunction(p2 ,quark1->CC(),outgoing);
// qp1 = SpinorWaveFunction (p1 ,quark2 ,outgoing);
// }
// double lome(0.),realme(0.);
// for(unsigned int lhel1=0;lhel1<2;++lhel1) {
// l1.reset(lhel1);
// for(unsigned int lhel2=0;lhel2<2;++lhel2) {
// l2.reset(lhel2);
// for(unsigned int qhel1=0;qhel1<2;++qhel1) {
// q1.reset(qhel1);
// qp1.reset(qhel1);
// for(unsigned int qhel2=0;qhel2<2;++qhel2) {
// q2.reset(qhel2);
// qp2.reset(qhel2);
// // leading order matrix element
// Complex diagLO(0.);
// for(unsigned int ix=0;ix<weakVertex.size();++ix) {
// VectorWaveFunction inter =
// weakVertex[ix]->evaluate(Q2,3,bosons[ix],l1,l2);
// diagLO += weakVertex[ix]->evaluate(Q2,q1,q2,inter);
// }
// lome += norm(diagLO);
// // real emission matrix element
// for(unsigned int ghel=0;ghel<2;++ghel) {
// gl.reset(2*ghel);
// Complex diagReal(0.);
// for(unsigned int ix=0;ix<weakVertex.size();++ix) {
// VectorWaveFunction inter =
// weakVertex[ix]->evaluate(Q2,3,bosons[ix],l1,l2);
// SpinorWaveFunction off1 =
// strongVertex->evaluate(Q2,5,qp1.particle(),qp1,gl);
// Complex diag1 = weakVertex[ix]->evaluate(Q2,off1,qp2,inter);
// SpinorBarWaveFunction off2 =
// strongVertex->evaluate(Q2,5,qp2.particle(),qp2,gl);
// Complex diag2 = weakVertex[ix]->evaluate(Q2,qp1,off2,inter);
// diagReal += diag1+diag2;
// }
// realme += norm(diagReal);
// }
// }
// }
// }
// }
// double test1 = realme/lome/hwsm->alphaS(Q2)*Q2*UnitRemoval::InvE2;
// double cphi(cos(phi));
// double test2;
// if(normalize) {
// test2 = 8.*Constants::pi/zp/(1.-zp)*
// (azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi))*
// sqr(xp)*(sqr(x3)+sqr(x2)+3.*sqr(xperp));
// }
// else {
// test2 = 8.*Constants::pi/zp/(1.-zp)*
// (azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi));
// }
// cerr << "testing RATIO B " << test1/test2 << "\n";
// }
// }
//
// }
DISBase::DISBase() : initial_(6.), final_(3.),
procProb_(0.35),
comptonInt_(0.), bgfInt_(0.),
comptonWeight_(50.), BGFWeight_(150.),
pTmin_(0.1*GeV),
scaleOpt_(1), muF_(100.*GeV), scaleFact_(1.),
contrib_(0), power_(0.1)
{}
DISBase::~DISBase() {}
void DISBase::persistentOutput(PersistentOStream & os) const {
os << comptonInt_ << bgfInt_ << procProb_ << initial_ << final_ << alpha_
<< ounit(pTmin_,GeV) << comptonWeight_ << BGFWeight_ << gluon_
<< ounit(muF_,GeV) << scaleFact_ << scaleOpt_ << contrib_<< power_;
}
void DISBase::persistentInput(PersistentIStream & is, int) {
is >> comptonInt_ >> bgfInt_ >> procProb_ >> initial_ >> final_ >> alpha_
>> iunit(pTmin_,GeV) >> comptonWeight_ >> BGFWeight_ >> gluon_
>> iunit(muF_,GeV) >> scaleFact_ >> scaleOpt_ >> contrib_ >> power_;
}
AbstractClassDescription<DISBase> DISBase::initDISBase;
// Definition of the static class description member.
void DISBase::Init() {
static ClassDocumentation<DISBase> documentation
("The DISBase class provides the base class for the "
"implementation of DIS type processes including the "
"hard corrections in either the old-fashioned matrix "
"element correction of POWHEG approaches");
static Parameter<DISBase,double> interfaceProcessProbability
("ProcessProbability",
"The probabilty of the QCD compton process for the process selection",
&DISBase::procProb_, 0.3, 0.0, 1.,
false, false, Interface::limited);
static Reference<DISBase,ShowerAlpha> interfaceCoupling
("Coupling",
"Pointer to the object to calculate the coupling for the correction",
&DISBase::alpha_, false, false, true, false, false);
static Parameter<DISBase,Energy> interfacepTMin
("pTMin",
"The minimum pT",
&DISBase::pTmin_, GeV, 1.*GeV, 0.0*GeV, 10.0*GeV,
false, false, Interface::limited);
static Parameter<DISBase,double> interfaceComptonWeight
("ComptonWeight",
"Weight for the overestimate ofthe compton channel",
&DISBase::comptonWeight_, 50.0, 0.0, 100.0,
false, false, Interface::limited);
static Parameter<DISBase,double> interfaceBGFWeight
("BGFWeight",
"Weight for the overestimate of the BGF channel",
&DISBase::BGFWeight_, 100.0, 0.0, 1000.0,
false, false, Interface::limited);
static Switch<DISBase,unsigned int> interfaceContribution
("Contribution",
"Which contributions to the cross section to include",
&DISBase::contrib_, 0, false, false);
static SwitchOption interfaceContributionLeadingOrder
(interfaceContribution,
"LeadingOrder",
"Just generate the leading order cross section",
0);
static SwitchOption interfaceContributionPositiveNLO
(interfaceContribution,
"PositiveNLO",
"Generate the positive contribution to the full NLO cross section",
1);
static SwitchOption interfaceContributionNegativeNLO
(interfaceContribution,
"NegativeNLO",
"Generate the negative contribution to the full NLO cross section",
2);
static Switch<DISBase,unsigned int> interfaceScaleOption
("ScaleOption",
"Option for the choice of factorization (and renormalization) scale",
&DISBase::scaleOpt_, 1, false, false);
static SwitchOption interfaceDynamic
(interfaceScaleOption,
"Dynamic",
"Dynamic factorization scale equal to the current sqrt(sHat())",
1);
static SwitchOption interfaceFixed
(interfaceScaleOption,
"Fixed",
"Use a fixed factorization scale set with FactorizationScaleValue",
2);
static Parameter<DISBase,Energy> interfaceFactorizationScale
("FactorizationScale",
"Value to use in the event of a fixed factorization scale",
&DISBase::muF_, GeV, 100.0*GeV, 1.0*GeV, 500.0*GeV,
true, false, Interface::limited);
static Parameter<DISBase,double> interfaceScaleFactor
("ScaleFactor",
"The factor used before Q2 if using a running scale",
&DISBase::scaleFact_, 1.0, 0.0, 10.0,
false, false, Interface::limited);
static Parameter<DISBase,double> interfaceSamplingPower
("SamplingPower",
"Power for the sampling of xp",
&DISBase::power_, 0.6, 0.0, 1.,
false, false, Interface::limited);
}
void DISBase::doinit() {
HwMEBase::doinit();
// integrals of me over phase space
double r5=sqrt(5.),darg((r5-1.)/(r5+1.)),ath(0.5*log((1.+1./r5)/(1.-1./r5)));
comptonInt_ = 2.*(-21./20.-6./(5.*r5)*ath+sqr(Constants::pi)/3.
-2.*Math::ReLi2(1.-darg)-2.*Math::ReLi2(1.-1./darg));
bgfInt_ = 121./9.-56./r5*ath;
// extract the gluon ParticleData objects
gluon_ = getParticleData(ParticleID::g);
}
void DISBase::initializeMECorrection(ShowerTreePtr tree, double & initial,
double & final) {
initial = initial_;
final = final_;
// incoming particles
for(map<ShowerProgenitorPtr,ShowerParticlePtr>::const_iterator
cit=tree->incomingLines().begin();cit!=tree->incomingLines().end();++cit) {
if(QuarkMatcher::Check(cit->first->progenitor()->data())) {
partons_[0] = cit->first->progenitor()->dataPtr();
pq_[0] = cit->first->progenitor()->momentum();
}
else if(LeptonMatcher::Check(cit->first->progenitor()->data())) {
leptons_[0] = cit->first->progenitor()->dataPtr();
pl_[0] = cit->first->progenitor()->momentum();
}
}
// outgoing particles
for(map<ShowerProgenitorPtr,tShowerParticlePtr>::const_iterator
cit=tree->outgoingLines().begin();cit!=tree->outgoingLines().end();++cit) {
if(QuarkMatcher::Check(cit->first->progenitor()->data())) {
partons_[1] = cit->first->progenitor()->dataPtr();
pq_[1] = cit->first->progenitor()->momentum();
}
else if(LeptonMatcher::Check(cit->first->progenitor()->data())) {
leptons_[1] = cit->first->progenitor()->dataPtr();
pl_[1] = cit->first->progenitor()->momentum();
}
}
// extract the born variables
q_ =pl_[0]-pl_[1];
q2_ = -q_.m2();
double yB = (q_*pq_[0])/(pl_[0]*pq_[0]);
l_ = 2./yB-1.;
// calculate the A coefficient for the correlations
acoeff_ = A(leptons_[0],leptons_[1],
partons_[0],partons_[1],q2_);
}
void DISBase::applyHardMatrixElementCorrection(ShowerTreePtr tree) {
static const double eps=1e-6;
// find the incoming and outgoing quarks and leptons
ShowerParticlePtr quark[2],lepton[2];
PPtr hadron;
// incoming particles
for(map<ShowerProgenitorPtr,ShowerParticlePtr>::const_iterator
cit=tree->incomingLines().begin();cit!=tree->incomingLines().end();++cit) {
if(QuarkMatcher::Check(cit->first->progenitor()->data())) {
hadron = cit->first->original()->parents()[0];
quark [0] = cit->first->progenitor();
beam_ = cit->first->beam();
}
else if(LeptonMatcher::Check(cit->first->progenitor()->data())) {
lepton[0] = cit->first->progenitor();
}
}
pdf_ = beam_->pdf();
assert(beam_&&pdf_&&quark[0]&&lepton[0]);
// outgoing particles
for(map<ShowerProgenitorPtr,tShowerParticlePtr>::const_iterator
cit=tree->outgoingLines().begin();cit!=tree->outgoingLines().end();++cit) {
if(QuarkMatcher::Check(cit->first->progenitor()->data()))
quark [1] = cit->first->progenitor();
else if(LeptonMatcher::Check(cit->first->progenitor()->data())) {
lepton[1] = cit->first->progenitor();
}
}
// momentum fraction
assert(quark[1]&&lepton[1]);
xB_ = quark[0]->x();
// calculate the matrix element
vector<double> azicoeff;
// select the type of process
bool BGF = UseRandom::rnd()>procProb_;
double xp,zp,wgt,x1,x2,x3,xperp;
// generate a QCD compton process
if(!BGF) {
wgt = generateComptonPoint(xp,zp);
if(xp<eps) return;
// common pieces
Energy2 scale = q2_*((1.-xp)*(1-zp)*zp/xp+1.);
wgt *= 2./3./Constants::pi*alpha_->value(scale)/procProb_;
// PDF piece
wgt *= pdf_->xfx(beam_,quark[0]->dataPtr(),scale,xB_/xp)/
pdf_->xfx(beam_,quark[0]->dataPtr(),q2_ ,xB_);
// other bits
xperp = sqrt(4.*(1.-xp)*(1.-zp)*zp/xp);
x1 = -1./xp;
x2 = 1.-(1.-zp)/xp;
x3 = 2.+x1-x2;
// matrix element pieces
azicoeff = ComptonME(xp,x2,xperp,true);
}
// generate a BGF process
else {
wgt = generateBGFPoint(xp,zp);
if(xp<eps) return;
// common pieces
Energy2 scale = q2_*((1.-xp)*(1-zp)*zp/xp+1);
wgt *= 0.25/Constants::pi*alpha_->value(scale)/(1.-procProb_);
// PDF piece
wgt *= pdf_->xfx(beam_,gluon_ ,scale,xB_/xp)/
pdf_->xfx(beam_,quark[0]->dataPtr(),q2_ ,xB_);
// other bits
xperp = sqrt(4.*(1.-xp)*(1.-zp)*zp/xp);
x1 = -1./xp;
x2 = 1.-(1.-zp)/xp;
x3 = 2.+x1-x2;
// matrix element pieces
azicoeff = BGFME(xp,x2,x3,xperp,true);
}
// compute the azimuthal average of the weight
wgt *= (azicoeff[0]+0.5*azicoeff[2]);
// decide whether or not to accept the weight
if(UseRandom::rnd()>wgt) return;
// if generate generate phi
unsigned int itry(0);
double phimax = std::accumulate(azicoeff.begin(),azicoeff.end(),0.);
double phiwgt,phi;
do {
phi = UseRandom::rnd()*Constants::twopi;
double cphi(cos(phi));
phiwgt = azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi);
++itry;
}
while (phimax*UseRandom::rnd() > phiwgt && itry<200);
if(itry==200) throw Exception() << "Too many tries in DISMECorrection"
<< "::applyHardMatrixElementCorrection() to"
<< " generate phi" << Exception::eventerror;
// construct lorentz transform from lab to breit frame
Lorentz5Momentum phadron = hadron->momentum();
phadron.setMass(0.*GeV);
phadron.rescaleEnergy();
Lorentz5Momentum pcmf = phadron+0.5/xB_*q_;
pcmf.rescaleMass();
LorentzRotation rot(-pcmf.boostVector());
Lorentz5Momentum pbeam = rot*phadron;
Axis axis(pbeam.vect().unit());
double sinth(sqrt(sqr(axis.x())+sqr(axis.y())));
rot.rotate(-acos(axis.z()),Axis(-axis.y()/sinth,axis.x()/sinth,0.));
Lorentz5Momentum pl = rot*pl_[0];
rot.rotateZ(-atan2(pl.y(),pl.x()));
pl_[0] *= rot;
pl_[1] *= rot;
pq_[0] *= rot;
pq_[1] *= rot;
// compute the new incoming and outgoing momenta
Energy Q(sqrt(q2_));
Lorentz5Momentum p1 = Lorentz5Momentum( 0.5*Q*xperp*cos(phi), 0.5*Q*xperp*sin(phi),
-0.5*Q*x2,0.*GeV,0.*GeV);
p1.rescaleEnergy();
Lorentz5Momentum p2 = Lorentz5Momentum(-0.5*Q*xperp*cos(phi),-0.5*Q*xperp*sin(phi),
-0.5*Q*x3,0.*GeV,0.*GeV);
p2.rescaleEnergy();
Lorentz5Momentum pin(0.*GeV,0.*GeV,-0.5*x1*Q,-0.5*x1*Q,0.*GeV);
// debuggingMatrixElement(BGF,pin,p1,p2,gluon_,pl_[0],pl_[1],pq_[0],pq_[1],
// lepton[0]->dataPtr(),lepton[1]->dataPtr(),
// quark [0]->dataPtr(),quark [1]->dataPtr(),
// q2_,phi,x2,x3,xperp,zp,xp,azicoeff,true);
// we need the Lorentz transform back to the lab
rot.invert();
// transform the momenta to lab frame
pin *= rot;
p1 *= rot;
p2 *= rot;
// test to ensure outgoing particles can be put on-shell
if(!BGF) {
if(p1.e()<quark[1]->dataPtr()->constituentMass()) return;
if(p2.e()<gluon_ ->constituentMass()) return;
}
else {
if(p1.e()<quark[1]->dataPtr() ->constituentMass()) return;
if(p2.e()<quark[0]->dataPtr()->CC()->constituentMass()) return;
}
// create the new particles and add to ShowerTree
bool isquark = quark[0]->colourLine();
if(!BGF) {
PPtr newin = new_ptr(Particle(*quark[0]));
newin->set5Momentum(pin);
PPtr newg = gluon_ ->produceParticle(p2 );
PPtr newout = quark[1]->dataPtr()->produceParticle(p1 );
ColinePtr col=isquark ?
quark[0]->colourLine() : quark[0]->antiColourLine();
ColinePtr newline=new_ptr(ColourLine());
// final-state emission
if(xp>zp) {
col->removeColoured(newout,!isquark);
col->addColoured(newin,!isquark);
col->addColoured(newg,!isquark);
newline->addColoured(newg,isquark);
newline->addColoured(newout,!isquark);
}
// initial-state emission
else {
col->removeColoured(newin ,!isquark);
col->addColoured(newout,!isquark);
col->addColoured(newg,isquark);
newline->addColoured(newg,!isquark);
newline->addColoured(newin,!isquark);
}
PPtr orig;
for(map<ShowerProgenitorPtr,ShowerParticlePtr>::const_iterator
cit=tree->incomingLines().begin();cit!=tree->incomingLines().end();++cit) {
if(cit->first->progenitor()!=quark[0]) continue;
// remove old particles from colour line
col->removeColoured(cit->first->copy(),!isquark);
col->removeColoured(cit->first->progenitor(),!isquark);
// insert new particles
cit->first->copy(newin);
ShowerParticlePtr sp(new_ptr(ShowerParticle(*newin,1,false)));
cit->first->progenitor(sp);
tree->incomingLines()[cit->first]=sp;
sp->x(xB_/xp);
cit->first->perturbative(xp>zp);
if(xp<=zp) orig=cit->first->original();
}
for(map<ShowerProgenitorPtr,tShowerParticlePtr>::const_iterator
cit=tree->outgoingLines().begin();cit!=tree->outgoingLines().end();++cit) {
if(cit->first->progenitor()!=quark[1]) continue;
// remove old particles from colour line
col->removeColoured(cit->first->copy(),!isquark);
col->removeColoured(cit->first->progenitor(),!isquark);
// insert new particles
cit->first->copy(newout);
ShowerParticlePtr sp(new_ptr(ShowerParticle(*newout,1,true)));
cit->first->progenitor(sp);
tree->outgoingLines()[cit->first]=sp;
cit->first->perturbative(xp<=zp);
if(xp>zp) orig=cit->first->original();
}
assert(orig);
// add the gluon
ShowerParticlePtr sg=new_ptr(ShowerParticle(*newg,1,true));
ShowerProgenitorPtr gluon=new_ptr(ShowerProgenitor(orig,newg,sg));
gluon->perturbative(false);
tree->outgoingLines().insert(make_pair(gluon,sg));
tree->hardMatrixElementCorrection(true);
}
else {
PPtr newin = gluon_ ->produceParticle(pin);
PPtr newqbar = quark[0]->dataPtr()->CC()->produceParticle(p2 );
PPtr newout = quark[1]->dataPtr() ->produceParticle(p1 );
ColinePtr col=isquark ? quark[0]->colourLine() : quark[0]->antiColourLine();
ColinePtr newline=new_ptr(ColourLine());
col ->addColoured(newin ,!isquark);
newline->addColoured(newin , isquark);
col ->addColoured(newout ,!isquark);
newline->addColoured(newqbar, isquark);
PPtr orig;
for(map<ShowerProgenitorPtr,ShowerParticlePtr>::const_iterator
cit=tree->incomingLines().begin();cit!=tree->incomingLines().end();++cit) {
if(cit->first->progenitor()!=quark[0]) continue;
// remove old particles from colour line
col->removeColoured(cit->first->copy(),!isquark);
col->removeColoured(cit->first->progenitor(),!isquark);
// insert new particles
cit->first->copy(newin);
ShowerParticlePtr sp(new_ptr(ShowerParticle(*newin,1,false)));
cit->first->progenitor(sp);
tree->incomingLines()[cit->first]=sp;
sp->x(xB_/xp);
cit->first->perturbative(false);
orig=cit->first->original();
}
for(map<ShowerProgenitorPtr,tShowerParticlePtr>::const_iterator
cit=tree->outgoingLines().begin();cit!=tree->outgoingLines().end();++cit) {
if(cit->first->progenitor()!=quark[1]) continue;
// remove old particles from colour line
col->removeColoured(cit->first->copy(),!isquark);
col->removeColoured(cit->first->progenitor(),!isquark);
// insert new particles
cit->first->copy(newout);
ShowerParticlePtr sp(new_ptr(ShowerParticle(*newout,1,true)));
cit->first->progenitor(sp);
tree->outgoingLines()[cit->first]=sp;
cit->first->perturbative(true);
}
assert(orig);
// add the (anti)quark
ShowerParticlePtr sqbar=new_ptr(ShowerParticle(*newqbar,1,true));
ShowerProgenitorPtr qbar=new_ptr(ShowerProgenitor(orig,newqbar,sqbar));
qbar->perturbative(false);
tree->outgoingLines().insert(make_pair(qbar,sqbar));
tree->hardMatrixElementCorrection(true);
}
}
bool DISBase::softMatrixElementVeto(ShowerProgenitorPtr initial,
ShowerParticlePtr parent, Branching br) {
bool veto = !UseRandom::rndbool(parent->isFinalState() ? 1./final_ : 1./initial_);
// check if me correction should be applied
long id[2]={initial->id(),parent->id()};
if(id[0]!=id[1]||id[1]==ParticleID::g) return veto;
// get the pT
Energy pT=br.kinematics->pT();
// check if hardest so far
if(pT<initial->highestpT()) return veto;
double kappa(sqr(br.kinematics->scale())/q2_),z(br.kinematics->z());
double zk((1.-z)*kappa);
// final-state
double wgt(0.);
if(parent->isFinalState()) {
double zp=z,xp=1./(1.+z*zk);
double xperp = sqrt(4.*(1.-xp)*(1.-zp)*zp/xp);
double x2 = 1.-(1.-zp)/xp;
vector<double> azicoeff = ComptonME(xp,x2,xperp,false);
wgt = (azicoeff[0]+0.5*azicoeff[2])*xp/(1.+sqr(z))/final_;
if(wgt<.0||wgt>1.) {
ostringstream wstring;
wstring << "Soft ME correction weight too large or "
<< "negative for FSR in DISBase::"
<< "softMatrixElementVeto() soft weight "
<< " xp = " << xp << " zp = " << zp
<< " weight = " << wgt << "\n";
generator()->logWarning( Exception(wstring.str(),
Exception::warning) );
}
}
else {
double xp = 2.*z/(1.+zk+sqrt(sqr(1.+zk)-4.*z*zk));
double zp = 0.5* (1.-zk+sqrt(sqr(1.+zk)-4.*z*zk));
double xperp = sqrt(4.*(1.-xp)*(1.-zp)*zp/xp);
double x1 = -1./xp, x2 = 1.-(1.-zp)/xp, x3 = 2.+x1-x2;
// compton
if(br.ids[0]!=ParticleID::g) {
vector<double> azicoeff = ComptonME(xp,x2,xperp,false);
wgt = (azicoeff[0]+0.5*azicoeff[2])*xp*(1.-z)/(1.-xp)/(1.+sqr(z))/
(1.-zp+xp-2.*xp*(1.-zp));
}
// BGF
else {
vector<double> azicoeff = BGFME(xp,x2,x3,xperp,true);
wgt = (azicoeff[0]+0.5*azicoeff[2])*xp/(1.-zp+xp-2.*xp*(1.-zp))/(sqr(z)+sqr(1.-z));
}
wgt /=initial_;
if(wgt<.0||wgt>1.) {
ostringstream wstring;
wstring << "Soft ME correction weight too large or "
<< "negative for ISR in DISBase::"
<< "softMatrixElementVeto() soft weight "
<< " xp = " << xp << " zp = " << zp
<< " weight = " << wgt << "\n";
generator()->logWarning( Exception(wstring.str(),
Exception::warning) );
}
}
// if not vetoed
if(UseRandom::rndbool(wgt)) {
initial->highestpT(pT);
return false;
}
// otherwise
parent->vetoEmission(br.type,br.kinematics->scale());
return true;
}
double DISBase::generateComptonPoint(double &xp, double & zp) {
static const double maxwgt = 1.;
double wgt;
do {
xp = UseRandom::rnd();
double zpmin = xp, zpmax = 1./(1.+xp*(1.-xp));
zp = 1.-pow((1.-zpmin)/(1.-zpmax),UseRandom::rnd())*(1.-zpmax);
wgt = log((1.-zpmin)/(1.-zpmax))*(1.-zp);
if(UseRandom::rndbool()) swap(xp,zp);
double xperp2 = 4.*(1.-xp)*(1.-zp)*zp/xp,x2=1.-(1.-zp)/xp;
wgt *= 2.*(1.+sqr(xp)*(sqr(x2)+1.5*xperp2))/(1.-xp)/(1.-zp);
if(wgt>maxwgt) {
ostringstream wstring;
wstring << "DISBase::generateComptonPoint "
<< "Weight greater than maximum "
<< "wgt = " << wgt << " maxwgt = 1\n";
generator()->logWarning( Exception(wstring.str(),
Exception::warning) );
}
}
while(wgt<UseRandom::rnd()*maxwgt);
return comptonInt_;
}
double DISBase::generateBGFPoint(double &xp, double & zp) {
static const double maxwgt = 25.;
double wgt;
do {
xp = UseRandom::rnd();
double zpmax = 1./(1.+xp*(1.-xp)), zpmin = 1.-zpmax;
zp = 1.-pow((1.-zpmin)/(1.-zpmax),UseRandom::rnd())*(1.-zpmax);
wgt = log((1.-zpmin)/(1.-zpmax))*(1.-zp);
double x1 = -1./xp;
double x2 = 1.-(1.-zp)/xp;
double x3 = 2.+x1-x2;
double xperp2 = 4.*(1.-xp)*(1.-zp)*zp/xp;
wgt *= sqr(xp)/(1.-zp)*(sqr(x3)+sqr(x2)+3.*xperp2);
if(wgt>maxwgt) {
ostringstream wstring;
wstring << "DISBase::generateBGFPoint "
<< "Weight greater than maximum "
<< "wgt = " << wgt << " maxwgt = 1\n";
generator()->logWarning( Exception(wstring.str(),
Exception::warning) );
}
}
while(wgt<UseRandom::rnd()*maxwgt);
return bgfInt_;
// static const double maxwgt = 2.,npow=0.34,ac=1.0;
// double wgt;
// do {
// double rho = UseRandom::rnd();
// xp = 1.-pow(rho,1./(1.-npow));
// wgt = (sqr(xp)+ac+sqr(1.-xp));
// if(wgt>1.+ac) cerr << "testing violates BGF maxA " << wgt << "\n";
// }
// while(wgt<UseRandom::rnd()*(1.+ac));
// double xpwgt = -((6.-5.*npow+sqr(npow))*ac-3.*npow+sqr(npow)+4)
// /(sqr(npow)*(npow-6.)+11.*npow-6.);
// xpwgt *= pow(1.-xp,npow)/wgt;
// double xp2(sqr(xp)),lxp(log(xp)),xp4(sqr(xp2)),lxp1(log(1.-xp));
// double zpwgt = (2.*xp4*(lxp+lxp1-3.)+4.*xp*xp2*(3.-lxp-lxp1)
// +xp2*(-13.+lxp+lxp1)+xp*(+7.+lxp+lxp1)-lxp-lxp1-1.)/(1.+xp-xp2);
// do {
// double zpmax = 1./(1.+xp*(1.-xp)), zpmin = 1.-zpmax;
// zp = 1.-pow((1.-zpmin)/(1.-zpmax),UseRandom::rnd())*(1.-zpmax);
// wgt = log((1.-zpmin)/(1.-zpmax))*(1.-zp);
// double x1 = -1./xp;
// double x2 = 1.-(1.-zp)/xp;
// double x3 = 2.+x1-x2;
// double xperp2 = 4.*(1.-xp)*(1.-zp)*zp/xp;
// wgt *= sqr(xp)/(1.-zp)*(sqr(x3)+sqr(x2)+3.*xperp2);
// if(wgt>maxwgt*zpwgt) cerr << "testing violates BGF maxB " << wgt/xpwgt << "\n";
// }
// while(wgt<UseRandom::rnd()*maxwgt);
// return zpwgt*xpwgt;
}
vector<double> DISBase::ComptonME(double xp, double x2, double xperp,
bool norm) {
vector<double> output(3,0.);
double cos2 = x2 /sqrt(sqr(x2)+sqr(xperp));
double sin2 = xperp/sqrt(sqr(x2)+sqr(xperp));
double root = sqrt(sqr(l_)-1.);
output[0] = sqr(cos2)+acoeff_*cos2*l_+sqr(l_);
output[1] = -acoeff_*cos2*root*sin2-2.*l_*root*sin2;
output[2] = sqr(root)*sqr(sin2);
double lo(1+acoeff_*l_+sqr(l_));
double denom = norm ? 1.+sqr(xp)*(sqr(x2)+1.5*sqr(xperp)) : 1.;
double fact = sqr(xp)*(sqr(x2)+sqr(xperp))/lo;
for(unsigned int ix=0;ix<output.size();++ix)
output[ix] = ((ix==0 ? 1. : 0.) +fact*output[ix])/denom;
return output;
}
vector<double> DISBase::BGFME(double xp, double x2, double x3,
double xperp, bool norm) {
vector<double> output(3,0.);
double cos2 = x2 /sqrt(sqr(x2)+sqr(xperp));
double sin2 = xperp/sqrt(sqr(x2)+sqr(xperp));
double fact2 = sqr(xp)*(sqr(x2)+sqr(xperp));
double cos3 = x3 /sqrt(sqr(x3)+sqr(xperp));
double sin3 = xperp/sqrt(sqr(x3)+sqr(xperp));
double fact3 = sqr(xp)*(sqr(x3)+sqr(xperp));
double root = sqrt(sqr(l_)-1.);
output[0] = fact2*(sqr(cos2)+acoeff_*cos2*l_+sqr(l_)) +
fact3*(sqr(cos3)-acoeff_*cos3*l_+sqr(l_));
output[1] = - fact2*(acoeff_*cos2*root*sin2+2.*l_*root*sin2)
- fact3*(acoeff_*cos3*root*sin3-2.*l_*root*sin3);
output[2] = fact2*(sqr(root)*sqr(sin2)) +
fact3*(sqr(root)*sqr(sin3));
double lo(1+acoeff_*l_+sqr(l_));
double denom = norm ? sqr(xp)*(sqr(x3)+sqr(x2)+3.*sqr(xperp))*lo : lo;
for(unsigned int ix=0;ix<output.size();++ix) output[ix] /= denom;
return output;
}
HardTreePtr DISBase::generateHardest(ShowerTreePtr tree,
vector<ShowerInteraction::Type> inter) {
bool found = false;
// check if generating QCD radiation
for(unsigned int ix=0;ix<inter.size();++ix) {
found |= inter[ix]==ShowerInteraction::QCD;
}
if(!found) return HardTreePtr();
ShowerParticlePtr quark[2],lepton[2];
PPtr hadron;
// incoming particles
for(map<ShowerProgenitorPtr,ShowerParticlePtr>::const_iterator
cit=tree->incomingLines().begin();cit!=tree->incomingLines().end();++cit) {
if(QuarkMatcher::Check(cit->first->progenitor()->data())) {
hadron = cit->first->original()->parents()[0];
quark [0] = cit->first->progenitor();
beam_ = cit->first->beam();
}
else if(LeptonMatcher::Check(cit->first->progenitor()->data())) {
lepton[0] = cit->first->progenitor();
leptons_[0] = lepton[0]->dataPtr();
}
}
pdf_=beam_->pdf();
assert(beam_&&pdf_&&quark[0]&&lepton[0]);
// outgoing particles
for(map<ShowerProgenitorPtr,tShowerParticlePtr>::const_iterator
cit=tree->outgoingLines().begin();cit!=tree->outgoingLines().end();++cit) {
if(QuarkMatcher::Check(cit->first->progenitor()->data()))
quark [1] = cit->first->progenitor();
else if(LeptonMatcher::Check(cit->first->progenitor()->data())) {
lepton[1] = cit->first->progenitor();
leptons_[1] = lepton[1]->dataPtr();
}
}
assert(quark[1]&&lepton[1]);
// Particle data objects
for(unsigned int ix=0;ix<2;++ix) partons_[ix] = quark[ix]->dataPtr();
// extract the born variables
q_ =lepton[0]->momentum()-lepton[1]->momentum();
q2_ = -q_.m2();
xB_ = quark[0]->x();
double yB =
( q_*quark[0]->momentum())/
(lepton[0]->momentum()*quark[0]->momentum());
l_ = 2./yB-1.;
// construct lorentz transform from lab to breit frame
Lorentz5Momentum phadron = hadron->momentum();
phadron.setMass(0.*GeV);
phadron.rescaleRho();
Lorentz5Momentum pb = quark[0]->momentum();
- Lorentz5Momentum pbasis = phadron;
Axis axis(q_.vect().unit());
double sinth(sqrt(sqr(axis.x())+sqr(axis.y())));
LorentzRotation rot_ = LorentzRotation();
if(axis.perp2()>1e-20) {
rot_.setRotate(-acos(axis.z()),Axis(-axis.y()/sinth,axis.x()/sinth,0.));
rot_.rotateX(Constants::pi);
}
if(abs(1.-q_.e()/q_.vect().mag())>1e-6) rot_.boostZ( q_.e()/q_.vect().mag());
pb *= rot_;
if(pb.perp2()/GeV2>1e-20) {
Boost trans = -1./pb.e()*pb.vect();
trans.setZ(0.);
rot_.boost(trans);
}
Lorentz5Momentum pl = rot_*lepton[0]->momentum();
rot_.rotateZ(-atan2(pl.y(),pl.x()));
// momenta of the particles
pl_[0]=rot_*lepton[0]->momentum();
pl_[1]=rot_*lepton[1]->momentum();
pq_[0]=rot_* quark[0]->momentum();
pq_[1]=rot_* quark[1]->momentum();
q_ *= rot_;
// coefficient for the matrix elements
acoeff_ = A(lepton[0]->dataPtr(),lepton[1]->dataPtr(),
quark [0]->dataPtr(),quark [1]->dataPtr(),q2_);
// generate a compton point
generateCompton();
generateBGF();
// no valid emission, return
if(pTCompton_<ZERO&&pTBGF_<ZERO) return HardTreePtr();
// type of emission, pick highest pT
bool isCompton=pTCompton_>pTBGF_;
// // find the sudakov for the branching
// SudakovPtr sudakov;
// // ISR
// if(ComptonISFS_||!isCompton) {
// BranchingList branchings=evolver()->splittingGenerator()->initialStateBranchings();
// long index = abs(partons_[0]->id());
// IdList br(3);
// if(isCompton) {
// br[0] = index;
// br[1] = index;
// br[2] = ParticleID::g;
// }
// else {
// br[0] = ParticleID::g;
// br[1] = abs(partons_[0]->id());
// br[2] = -abs(partons_[0]->id());
// }
// for(BranchingList::const_iterator cit = branchings.lower_bound(index);
// cit != branchings.upper_bound(index); ++cit ) {
// IdList ids = cit->second.second;
// if(ids[0]==br[0]&&ids[1]==br[1]&&ids[2]==br[2]) {
// sudakov=cit->second.first;
// break;
// }
// }
// }
// // FSR
// else {
// BranchingList branchings =
// evolver()->splittingGenerator()->finalStateBranchings();
// long index=abs(partons_[1]->id());
// for(BranchingList::const_iterator cit = branchings.lower_bound(index);
// cit != branchings.upper_bound(index); ++cit ) {
// IdList ids = cit->second.second;
// if(ids[0]==index&&ids[1]==index&&ids[2]==ParticleID::g) {
// sudakov = cit->second.first;
// break;
// }
// }
// }
// if(!sudakov) throw Exception() << "Can't find Sudakov for the hard emission in "
// << "DISBase::generateHardest()"
// << Exception::runerror;
// add the leptons
vector<HardBranchingPtr> spaceBranchings,allBranchings;
spaceBranchings.push_back(new_ptr(HardBranching(lepton[0],SudakovPtr(),
HardBranchingPtr(),
HardBranching::Incoming)));
allBranchings.push_back(spaceBranchings.back());
allBranchings.push_back(new_ptr(HardBranching(lepton[1],SudakovPtr(),
HardBranchingPtr(),
HardBranching::Outgoing)));
// compton hardest
if(isCompton) {
rot_.invert();
for(unsigned int ix=0;ix<ComptonMomenta_.size();++ix) {
ComptonMomenta_[ix].transform(rot_);
}
ShowerParticlePtr newqout (new_ptr(ShowerParticle(partons_[1],true)));
newqout->set5Momentum(ComptonMomenta_[1]);
ShowerParticlePtr newg(new_ptr(ShowerParticle(gluon_,true)));
newg->set5Momentum(ComptonMomenta_[2]);
ShowerParticlePtr newqin (new_ptr(ShowerParticle(partons_[0],false )));
newqin->set5Momentum(ComptonMomenta_[0]);
if(ComptonISFS_) {
ShowerParticlePtr newspace(new_ptr(ShowerParticle(partons_[0],false)));
newspace->set5Momentum(ComptonMomenta_[0]-ComptonMomenta_[2]);
HardBranchingPtr spaceBranch(new_ptr(HardBranching(newqin,SudakovPtr(),
HardBranchingPtr(),
HardBranching::Incoming)));
HardBranchingPtr offBranch(new_ptr(HardBranching(newspace,SudakovPtr(),
spaceBranch,
HardBranching::Incoming)));
spaceBranch->addChild(offBranch);
HardBranchingPtr g(new_ptr(HardBranching(newg,SudakovPtr(),spaceBranch,
HardBranching::Outgoing)));
spaceBranch->addChild(g);
spaceBranch->type(offBranch->branchingParticle()->id()>0 ?
ShowerPartnerType::QCDColourLine : ShowerPartnerType::QCDAntiColourLine);
HardBranchingPtr outBranch(new_ptr(HardBranching(newqout,SudakovPtr(),
HardBranchingPtr(),
HardBranching::Outgoing)));
spaceBranchings.push_back(spaceBranch);
allBranchings.push_back(offBranch);
allBranchings.push_back(outBranch);
ColinePtr newin(new_ptr(ColourLine())),newout(new_ptr(ColourLine()));
newin->addColoured(newqin,partons_[0]->id()<0);
newin->addColoured(newg ,partons_[0]->id()<0);
newout->addColoured(newspace,partons_[0]->id()<0);
newout->addColoured(newqout,partons_[1]->id()<0);
newout->addColoured(newg ,partons_[1]->id()>0);
ColinePtr newline(new_ptr(ColourLine()));
newline->addColoured(newspace,newspace->dataPtr()->iColour()!=PDT::Colour3);
newline->addColoured(newqout ,newspace->dataPtr()->iColour()!=PDT::Colour3);
}
else {
ShowerParticlePtr newtime(new_ptr(ShowerParticle(partons_[1],true)));
newtime->set5Momentum(ComptonMomenta_[1]+ComptonMomenta_[2]);
HardBranchingPtr spaceBranch(new_ptr(HardBranching(newqin,SudakovPtr(),
HardBranchingPtr(),
HardBranching::Incoming)));
HardBranchingPtr offBranch(new_ptr(HardBranching(newtime,SudakovPtr(),
HardBranchingPtr(),
HardBranching::Outgoing)));
HardBranchingPtr g(new_ptr(HardBranching(newg,SudakovPtr(),offBranch,
HardBranching::Outgoing)));
HardBranchingPtr outBranch(new_ptr(HardBranching(newqout,SudakovPtr(),offBranch,
HardBranching::Outgoing)));
offBranch->addChild(outBranch);
offBranch->addChild(g);
offBranch->type(offBranch->branchingParticle()->id()>0 ?
ShowerPartnerType::QCDColourLine : ShowerPartnerType::QCDAntiColourLine);
spaceBranchings.push_back(spaceBranch);
allBranchings.push_back(spaceBranch);
allBranchings.push_back(offBranch);
ColinePtr newline(new_ptr(ColourLine()));
newline->addColoured(newqin ,newqin->dataPtr()->iColour()!=PDT::Colour3);
newline->addColoured(newtime,newqin->dataPtr()->iColour()!=PDT::Colour3);
}
}
// BGF hardest
else {
rot_.invert();
for(unsigned int ix=0;ix<BGFMomenta_.size();++ix) {
BGFMomenta_[ix].transform(rot_);
}
ShowerParticlePtr newq (new_ptr(ShowerParticle(partons_[1],true)));
newq->set5Momentum(BGFMomenta_[1]);
ShowerParticlePtr newqbar(new_ptr(ShowerParticle(partons_[0]->CC(),true)));
newqbar->set5Momentum(BGFMomenta_[2]);
ShowerParticlePtr newg (new_ptr(ShowerParticle(gluon_,false)));
newg->set5Momentum(BGFMomenta_[0]);
ShowerParticlePtr newspace(new_ptr(ShowerParticle(partons_[0],false)));
newspace->set5Momentum(BGFMomenta_[0]-BGFMomenta_[2]);
HardBranchingPtr spaceBranch(new_ptr(HardBranching(newg,SudakovPtr(),HardBranchingPtr(),
HardBranching::Incoming)));
HardBranchingPtr offBranch(new_ptr(HardBranching(newspace,SudakovPtr(),spaceBranch,
HardBranching::Incoming)));
HardBranchingPtr qbar(new_ptr(HardBranching(newqbar,SudakovPtr(),spaceBranch,
HardBranching::Outgoing)));
spaceBranch->addChild(offBranch);
spaceBranch->addChild(qbar);
spaceBranch->type(offBranch->branchingParticle()->id()>0 ?
ShowerPartnerType::QCDColourLine : ShowerPartnerType::QCDAntiColourLine);
HardBranchingPtr outBranch(new_ptr(HardBranching(newq,SudakovPtr(),
HardBranchingPtr(),
HardBranching::Outgoing)));
spaceBranchings.push_back(spaceBranch);
allBranchings.push_back(offBranch);
allBranchings.push_back(outBranch);
ColinePtr newline(new_ptr(ColourLine()));
newline->addColoured(newspace,newspace->dataPtr()->iColour()!=PDT::Colour3);
newline->addColoured(newq ,newspace->dataPtr()->iColour()!=PDT::Colour3);
}
HardTreePtr newTree(new_ptr(HardTree(allBranchings,spaceBranchings,
ShowerInteraction::QCD)));
// Set the maximum pt for all other emissions and connect hard and shower tree
Energy pT = isCompton ? pTCompton_ : pTBGF_;
// incoming particles
for(map<ShowerProgenitorPtr,ShowerParticlePtr>::const_iterator
cit=tree->incomingLines().begin();cit!=tree->incomingLines().end();++cit) {
// set maximum pT
if(QuarkMatcher::Check(cit->first->progenitor()->data()))
cit->first->maximumpT(pT,ShowerInteraction::QCD);
for(set<HardBranchingPtr>::iterator cjt=newTree->branchings().begin();
cjt!=newTree->branchings().end();++cjt) {
if(!(*cjt)->branchingParticle()->isFinalState()&&
(*cjt)->branchingParticle()->id()==cit->first->progenitor()->id()) {
newTree->connect(cit->first->progenitor(),*cjt);
tPPtr beam =cit->first->original();
if(!beam->parents().empty()) beam=beam->parents()[0];
(*cjt)->beam(beam);
HardBranchingPtr parent=(*cjt)->parent();
while(parent) {
parent->beam(beam);
parent=parent->parent();
};
}
}
}
// outgoing particles
for(map<ShowerProgenitorPtr,tShowerParticlePtr>::const_iterator
cit=tree->outgoingLines().begin();cit!=tree->outgoingLines().end();++cit) {
// set maximum pT
if(QuarkMatcher::Check(cit->first->progenitor()->data()))
cit->first->maximumpT(pT,ShowerInteraction::QCD);
for(set<HardBranchingPtr>::iterator cjt=newTree->branchings().begin();
cjt!=newTree->branchings().end();++cjt) {
if((*cjt)->branchingParticle()->isFinalState()&&
(*cjt)->branchingParticle()->id()==cit->first->progenitor()->id()) {
newTree->connect(cit->first->progenitor(),*cjt);
}
}
}
return newTree;
}
void DISBase::generateCompton() {
// maximum value of the xT
double xT = sqrt((1.-xB_)/xB_);
double xTMin = 2.*pTmin_/sqrt(q2_);
double zp;
// prefactor
double a = alpha_->overestimateValue()*comptonWeight_/Constants::twopi;
// loop to generate kinematics
double wgt(0.),xp(0.);
vector<double> azicoeff;
do {
wgt = 0.;
// intergration variables dxT/xT^3
xT *= 1./sqrt(1.-2.*log(UseRandom::rnd())/a*sqr(xT));
// zp
zp = UseRandom::rnd();
xp = 1./(1.+0.25*sqr(xT)/zp/(1.-zp));
// check allowed
if(xp<xB_||xp>1.) continue;
// phase-space piece of the weight
wgt = 8.*(1.-xp)*zp/comptonWeight_;
// PDF piece of the weight
Energy2 scale = q2_*((1.-xp)*(1-zp)*zp/xp+1.);
wgt *= pdf_->xfx(beam_,partons_[0],scale,xB_/xp)/
pdf_->xfx(beam_,partons_[0],q2_ ,xB_);
// me piece of the weight
double x2 = 1.-(1.-zp)/xp;
azicoeff = ComptonME(xp,x2,xT,false);
wgt *= 4./3.*alpha_->ratio(0.25*q2_*sqr(xT))*(azicoeff[0]+0.5*azicoeff[2]);
if(wgt>1.||wgt<0.) {
ostringstream wstring;
wstring << "DISBase::generateCompton() "
<< "Weight greater than one or less than zero"
<< "wgt = " << wgt << "\n";
generator()->logWarning( Exception(wstring.str(),
Exception::warning) );
}
}
while(xT>xTMin&&UseRandom::rnd()>wgt);
if(xT<=xTMin) {
pTCompton_=-GeV;
return;
}
// generate phi
unsigned int itry(0);
double phimax = std::accumulate(azicoeff.begin(),azicoeff.end(),0.);
double phiwgt,phi;
do {
phi = UseRandom::rnd()*Constants::twopi;
double cphi(cos(phi));
phiwgt = azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi);
++itry;
}
while (phimax*UseRandom::rnd() > phiwgt && itry<200);
if(itry==200) throw Exception() << "Too many tries in DISMECorrection"
<< "::generateCompton() to"
<< " generate phi" << Exception::eventerror;
// momenta for the configuration
Energy Q(sqrt(q2_));
double x1 = -1./xp;
double x2 = 1.-(1.-zp)/xp;
double x3 = 2.+x1-x2;
Lorentz5Momentum p1( 0.5*Q*xT*cos(phi), 0.5*Q*xT*sin(phi),
-0.5*Q*x2, 0.5*Q*sqrt(sqr(xT)+sqr(x2)));
Lorentz5Momentum p2(-0.5*Q*xT*cos(phi), -0.5*Q*xT*sin(phi),
-0.5*Q*x3, 0.5*Q*sqrt(sqr(xT)+sqr(x3)));
Lorentz5Momentum p0(ZERO,ZERO,-0.5*Q*x1,-0.5*Q*x1);
pTCompton_ = 0.5*Q*xT;
ComptonMomenta_.resize(3);
ComptonMomenta_[0] = p0;
ComptonMomenta_[1] = p1;
ComptonMomenta_[2] = p2;
ComptonISFS_ = zp>xp;
// debuggingMatrixElement(false,p0,p1,p2,gluon_,pl_[0],pl_[1],pq_[0],pq_[1],
// leptons_[0],leptons_[1],
// partons_[0],partons_[1],
// q2_,phi,x2,x3,xT,zp,xp,azicoeff,false);
}
void DISBase::generateBGF() {
// maximum value of the xT
double xT = (1.-xB_)/xB_;
double xTMin = 2.*max(pTmin_,pTCompton_)/sqrt(q2_);
double zp;
// prefactor
double a = alpha_->overestimateValue()*BGFWeight_/Constants::twopi;
// loop to generate kinematics
double wgt(0.),xp(0.);
vector<double> azicoeff;
do {
wgt = 0.;
// intergration variables dxT/xT^3
xT *= 1./sqrt(1.-2.*log(UseRandom::rnd())/a*sqr(xT));
// zp
zp = UseRandom::rnd();
xp = 1./(1.+0.25*sqr(xT)/zp/(1.-zp));
// check allowed
if(xp<xB_||xp>1.) continue;
// phase-space piece of the weight
wgt = 8.*sqr(1.-xp)*zp/BGFWeight_;
// PDF piece of the weight
Energy2 scale = q2_*((1.-xp)*(1-zp)*zp/xp+1.);
wgt *= pdf_->xfx(beam_,gluon_ ,scale,xB_/xp)/
pdf_->xfx(beam_,partons_[0],q2_ ,xB_);
// me piece of the weight
double x1 = -1./xp;
double x2 = 1.-(1.-zp)/xp;
double x3 = 2.+x1-x2;
azicoeff = BGFME(xp,x2,x3,xT,false);
wgt *= 0.5*alpha_->ratio(0.25*q2_*sqr(xT))*
(azicoeff[0]+0.5*azicoeff[2]);
if(wgt>1.||wgt<0.) {
ostringstream wstring;
wstring << "DISBase::generateBGF() "
<< "Weight greater than one or less than zero"
<< "wgt = " << wgt << "\n";
generator()->logWarning( Exception(wstring.str(),
Exception::warning) );
}
}
while(xT>xTMin&&UseRandom::rnd()>wgt);
if(xT<=xTMin) {
pTBGF_=-GeV;
return;
}
// generate phi
unsigned int itry(0);
double phimax = std::accumulate(azicoeff.begin(),azicoeff.end(),0.);
double phiwgt,phi;
do {
phi = UseRandom::rnd()*Constants::twopi;
double cphi(cos(phi));
phiwgt = azicoeff[0]+azicoeff[1]*cphi+azicoeff[2]*sqr(cphi);
++itry;
}
while (phimax*UseRandom::rnd() > phiwgt && itry<200);
if(itry==200) throw Exception() << "Too many tries in DISMECorrection"
<< "::generateBGF() to"
<< " generate phi" << Exception::eventerror;
// momenta for the configuration
Energy Q(sqrt(q2_));
double x1 = -1./xp;
double x2 = 1.-(1.-zp)/xp;
double x3 = 2.+x1-x2;
Lorentz5Momentum p1( 0.5*Q*xT*cos(phi), 0.5*Q*xT*sin(phi),
-0.5*Q*x2, 0.5*Q*sqrt(sqr(xT)+sqr(x2)));
Lorentz5Momentum p2(-0.5*Q*xT*cos(phi), -0.5*Q*xT*sin(phi),
-0.5*Q*x3, 0.5*Q*sqrt(sqr(xT)+sqr(x3)));
Lorentz5Momentum p0(ZERO,ZERO,-0.5*Q*x1,-0.5*Q*x1);
pTBGF_=0.5*Q*xT;
BGFMomenta_.resize(3);
BGFMomenta_[0]=p0;
BGFMomenta_[1]=p1;
BGFMomenta_[2]=p2;
// debuggingMatrixElement(true,p0,p1,p2,gluon_,pl_[0],pl_[1],pq_[0],pq_[1],
// leptons_[0],leptons_[1],
// partons_[0],partons_[1],
// q2_,phi,x2,x3,xT,zp,xp,azicoeff,false);
}
int DISBase::nDim() const {
return HwMEBase::nDim() + (contrib_>0 ? 1 : 0 );
}
bool DISBase::generateKinematics(const double * r) {
// Born kinematics
if(!HwMEBase::generateKinematics(r)) return false;
if(contrib_!=0) {
// hadron and momentum fraction
if(HadronMatcher::Check(*lastParticles().first->dataPtr())) {
hadron_ = dynamic_ptr_cast<tcBeamPtr>(lastParticles().first->dataPtr());
xB_ = lastX1();
}
else {
hadron_ = dynamic_ptr_cast<tcBeamPtr>(lastParticles().second->dataPtr());
xB_ = lastX2();
}
// Q2
q2_ = -(meMomenta()[0]-meMomenta()[2]).m2();
// xp
int ndim=nDim();
double rhomin = pow(1.-xB_,1.-power_);
double rho = r[ndim-1]*rhomin;
xp_ = 1.-pow(rho,1./(1.-power_));
jac_ = rhomin/(1.-power_)*pow(1.-xp_,power_);
jacobian(jacobian()*jac_);
}
return true;
}
Energy2 DISBase::scale() const {
return scaleOpt_ == 1 ?
-sqr(scaleFact_)*tHat() : sqr(scaleFact_*muF_);
}
CrossSection DISBase::dSigHatDR() const {
return NLOWeight()*HwMEBase::dSigHatDR();
}
double DISBase::NLOWeight() const {
// If only leading order is required return 1:
if(contrib_==0) return 1.;
// scale and prefactors
Energy2 mu2(scale());
double aS = SM().alphaS(mu2);
double CFfact = 4./3.*aS/Constants::twopi;
double TRfact = 1./2.*aS/Constants::twopi;
// LO + dipole subtracted virtual + collinear quark bit with LO pdf
double virt = 1.+CFfact*(-4.5-1./3.*sqr(Constants::pi)+1.5*log(q2_/mu2/(1.-xB_))
+2.*log(1.-xB_)*log(q2_/mu2)+sqr(log(1.-xB_)));
virt /= jac_;
// PDF from leading-order
double loPDF = hadron_->pdf()->xfx(hadron_,mePartonData()[1],mu2,xB_)/xB_;
// NLO gluon PDF
tcPDPtr gluon = getParticleData(ParticleID::g);
double gPDF = hadron_->pdf()->xfx(hadron_,gluon,mu2,xB_/xp_)*xp_/xB_;
// NLO quark PDF
double qPDF = hadron_->pdf()->xfx(hadron_,mePartonData()[1],mu2,xB_/xp_)*xp_/xB_;
// collinear counterterms
// gluon
double collg =
TRfact/xp_*gPDF*(2.*xp_*(1.-xp_)+(sqr(xp_)+sqr(1.-xp_))*log((1.-xp_)*q2_/xp_/mu2));
// quark
double collq =
CFfact/xp_*qPDF*(1-xp_-2./(1.-xp_)*log(xp_)-(1.+xp_)*log((1.-xp_)/xp_*q2_/mu2))+
CFfact/xp_*(qPDF-xp_*loPDF)*(2./(1.-xp_)*log(q2_*(1.-xp_)/mu2)-1.5/(1.-xp_));
// calculate the A coefficient for the real pieces
double a(A(mePartonData()[0],mePartonData()[2],
mePartonData()[1],mePartonData()[3],q2_));
// cacluate lepton kinematic variables
Lorentz5Momentum q = meMomenta()[0]-meMomenta()[2];
double yB = (q*meMomenta()[1])/(meMomenta()[0]*meMomenta()[1]);
double l = 2./yB-1.;
// q -> qg term
double realq = CFfact/xp_/(1.+a*l+sqr(l))*qPDF/loPDF*
(2.+2.*sqr(l)-xp_+3.*xp_*sqr(l)+a*l*(2.*xp_+1.));
// g -> q qbar term
double realg =-TRfact/xp_/(1.+a*l+sqr(l))*gPDF/loPDF*
((1.+sqr(l)+2.*(1.-3.*sqr(l))*xp_*(1.-xp_))
+2.*a*l*(1.-2.*xp_*(1.-xp_)));
// return the full result
double wgt = virt+((collq+collg)/loPDF+realq+realg);
// double f2g = gPDF/xp_*TRfact*((sqr(1-xp_)+sqr(xp_))*log((1-xp_)/xp_)+
// 8*xp_*(1.-xp_)-1.);
// double f2q =
// loPDF/jac_*(1.+CFfact*(-1.5*log(1.-xB_)+sqr(log(1.-xB_))
// -sqr(Constants::pi)/3.-4.5))
// +qPDF *CFfact/xp_*(3.+2.*xp_-(1.+xp_)*log(1.-xp_)
// -(1.+sqr(xp_))/(1.-xp_)*log(xp_))
// +(qPDF-xp_*loPDF)*CFfact/xp_*(2.*log(1.-xp_)/(1.-xp_)-1.5/(1.-xp_));
// double wgt = (f2g+f2q)/loPDF;
return contrib_ == 1 ? max(0.,wgt) : max(0.,-wgt);
}

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