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| // -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/ChargedFinalState.hh"
#include "Rivet/Projections/UnstableParticles.hh"
#include "Rivet/Tools/BinnedHistogram.hh"
namespace Rivet {
/// @brief OPAL K*0 fragmentation function paper
///
/// @author Peter Richardson
class OPAL_1997_S3608263 : public Analysis {
public:
RIVET_DEFAULT_ANALYSIS_CTOR(OPAL_1997_S3608263);
/// @name Analysis methods
/// @{
void init() {
declare(Beam(), "Beams");
declare(ChargedFinalState(), "FS");
declare(UnstableParticles(), "UFS");
book(_histXeK0 , 1, 1, 1);
{Histo1DPtr temp; _h_ctheta.add(0. ,0.01 ,book(temp, "ctheta_00",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.01 ,0.03 ,book(temp, "ctheta_01",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.03 ,0.10 ,book(temp, "ctheta_02",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.10 ,0.125,book(temp, "ctheta_03",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.125,0.14 ,book(temp, "ctheta_04",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.14 ,0.16 ,book(temp, "ctheta_05",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.16 ,0.20 ,book(temp, "ctheta_06",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.20 ,0.30 ,book(temp, "ctheta_07",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.30 ,0.40 ,book(temp, "ctheta_08",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.40 ,0.50 ,book(temp, "ctheta_09",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.50 ,0.70 ,book(temp, "ctheta_10",20,-1.,1.));}
{Histo1DPtr temp; _h_ctheta.add(0.70 ,1.00 ,book(temp, "ctheta_11",20,-1.,1.));}
book(_h_ctheta_large,"ctheta_large",20,-1.,1.);
{Histo1DPtr temp; _h_alpha.add(0. ,0.01 ,book(temp, "alpha_00",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.01 ,0.03 ,book(temp, "alpha_01",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.03 ,0.10 ,book(temp, "alpha_02",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.10 ,0.125,book(temp, "alpha_03",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.125,0.14 ,book(temp, "alpha_04",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.14 ,0.16 ,book(temp, "alpha_05",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.16 ,0.20 ,book(temp, "alpha_06",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.20 ,0.30 ,book(temp, "alpha_07",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.30 ,0.40 ,book(temp, "alpha_08",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.40 ,0.50 ,book(temp, "alpha_09",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.50 ,0.70 ,book(temp, "alpha_10",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha.add(0.70 ,1.00 ,book(temp, "alpha_11",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_low.add(0.30 ,0.40 ,book(temp, "alpha_low_00",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_low.add(0.40 ,0.50 ,book(temp, "alpha_low_01",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_low.add(0.50 ,0.70 ,book(temp, "alpha_low_02",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_low.add(0.70 ,1.00 ,book(temp, "alpha_low_03",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_high.add(0.30 ,0.40 ,book(temp, "alpha_high_00",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_high.add(0.40 ,0.50 ,book(temp, "alpha_high_01",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_high.add(0.50 ,0.70 ,book(temp, "alpha_high_02",20,0.,0.5*M_PI));}
{Histo1DPtr temp; _h_alpha_high.add(0.70 ,1.00 ,book(temp, "alpha_high_03",20,0.,0.5*M_PI));}
book(_h_alpha_large ,"_h_alpha_large" ,20,0.,0.5*M_PI);
book(_h_alpha_large_low ,"_h_alpha_large_low" ,20,0.,0.5*M_PI);
book(_h_alpha_large_high,"_h_alpha_large_high",20,0.,0.5*M_PI);
}
pair<double,double> calcRho(Histo1DPtr hist,unsigned int imode) {
if(hist->numEntries()==0.) return make_pair(0.,0.);
double sum1(0.),sum2(0.);
for (auto bin : hist->bins() ) {
double Oi = bin.area();
if(Oi==0.) continue;
double ai,bi;
if(imode==0) {
ai = 0.25*(bin.xMax()*(3.-sqr(bin.xMax())) - bin.xMin()*(3.-sqr(bin.xMin())));
bi = 0.75*(bin.xMin()*(1.-sqr(bin.xMin())) - bin.xMax()*(1.-sqr(bin.xMax())));
}
else {
ai = 2.*(bin.xMax()-bin.xMin())/M_PI;
bi = 2.*(sin(2.*bin.xMax())-sin(2.*bin.xMin()))/M_PI;
}
double Ei = bin.areaErr();
sum1 += sqr(bi/Ei);
sum2 += bi/sqr(Ei)*(Oi-ai);
}
return make_pair(sum2/sum1,sqrt(1./sum1));
}
void analyze(const Event& e) {
// First, veto on leptonic events by requiring at least 4 charged FS particles
const FinalState& fs = apply<FinalState>(e, "FS");
const size_t numParticles = fs.particles().size();
// Even if we only generate hadronic events, we still need a cut on numCharged >= 2.
if (numParticles < 2) {
MSG_DEBUG("Failed leptonic event cut");
vetoEvent;
}
MSG_DEBUG("Passed leptonic event cut");
// Get beams and average beam momentum
const ParticlePair& beams = apply<Beam>(e, "Beams").beams();
const double meanBeamMom = ( beams.first.p3().mod() +
beams.second.p3().mod() ) / 2.0;
MSG_DEBUG("Avg beam momentum = " << meanBeamMom);
Vector3 axis;
if(beams.first.pid()>0)
axis = beams.first .momentum().p3().unit();
else
axis = beams.second.momentum().p3().unit();
// Final state of unstable particles to get particle spectra
const UnstableParticles& ufs = apply<UnstableParticles>(e, "UFS");
for (const Particle& p : ufs.particles(Cuts::abspid==313)) {
double xp = p.p3().mod()/meanBeamMom;
_histXeK0->fill(xp);
int sign = p.pid()/313;
if(p.children().size()!=2) continue;
Particle kaon;
if(p.children()[0].pid()==sign*321 && p.children()[1].pid()==-sign*211) {
kaon = p.children()[0];
}
else if(p.children()[1].pid()==sign*321 && p.children()[0].pid()==-sign*211) {
kaon = p.children()[1];
}
else
continue;
// spin axes
Vector3 e1z = p.momentum().p3().unit();
Vector3 e1y = e1z.cross(axis).unit();
Vector3 e1x = e1y.cross(e1z).unit();
LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(p.momentum().betaVec());
Vector3 axis1 = boost.transform(kaon.momentum()).p3().unit();
double ctheta = e1z.dot(axis1);
double phi = atan2(e1y.dot(axis1),e1x.dot(axis1));
double alpha = abs(abs(phi)-0.5*M_PI);
_h_ctheta.fill(xp,ctheta);
_h_alpha .fill(xp,alpha );
double cBeam = axis.dot(e1z);
(cBeam < 0.5 ? _h_alpha_low : _h_alpha_high).fill(xp,alpha);
if (xp > 0.3) {
_h_ctheta_large->fill(ctheta);
_h_alpha_large->fill(alpha);
(cBeam < 0.5 ? _h_alpha_large_low : _h_alpha_large_high)->fill(alpha);
}
}
}
/// Finalize
void finalize() {
scale(_histXeK0, 1./sumOfWeights());
const vector<double> x = {0., 0.01 ,0.03 ,0.10 ,0.125,0.14 ,0.16 ,0.20 ,0.30 ,0.40 ,0.50 ,0.70 ,1.00};
Scatter2DPtr h_rho00;
book(h_rho00,2,1,1);
Scatter2DPtr h_rho_off;
book(h_rho_off,2,1,2);
Scatter2DPtr h_ratio;
book(h_ratio,3,1,1);
Scatter2DPtr h_off_low;
book(h_off_low,4,1,1);
Scatter2DPtr h_off_high;
book(h_off_high,4,1,2);
for (unsigned int ix=0;ix<_h_ctheta.histos().size();++ix) {
// extract the rho00 component
normalize(_h_ctheta.histos()[ix]);
pair<double,double> rho00 = calcRho(_h_ctheta.histos()[ix],0);
h_rho00->addPoint(0.5*(x[ix]+x[ix+1]), rho00.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(rho00.second,rho00.second) );
// extract the rho 1 -1 component
normalize(_h_alpha.histos()[ix]);
pair<double,double> rho_off = calcRho(_h_alpha.histos()[ix],1);
h_rho_off->addPoint(0.5*(x[ix]+x[ix+1]), rho_off.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(rho_off.second,rho_off.second) );
if (ix<8) continue;
// at large xp also the ratio
double ratio = rho_off.first/(1.-rho00.first);
double dr = ((rho_off.second - rho00.first*rho_off.second + rho_off.first*rho00.second))/sqr(1.-rho00.first);
h_ratio->addPoint(0.5*(x[ix]+x[ix+1]), ratio, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(dr,dr) );
unsigned int iy=ix-8;
// rho 1 -1 for cos theta <0.5
normalize(_h_alpha_low .histos()[iy]);
rho_off = calcRho(_h_alpha_low.histos()[iy],1);
h_off_low->addPoint(0.5*(x[ix]+x[ix+1]), rho_off.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(rho_off.second,rho_off.second) );
// rho 1 -1 for cos theta >0.5
normalize(_h_alpha_high.histos()[iy]);
rho_off = calcRho(_h_alpha_high.histos()[iy],1);
h_off_high->addPoint(0.5*(x[ix]+x[ix+1]), rho_off.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(rho_off.second,rho_off.second) );
}
// ratio for xp 0.3
normalize(_h_ctheta_large);
pair<double,double> rho00 = calcRho(_h_ctheta_large,0);
normalize(_h_alpha_large);
pair<double,double> rho_off = calcRho(_h_alpha_large,1);
double ratio = rho_off.first/(1.-rho00.first);
double dr = ((rho_off.second - rho00.first*rho_off.second + rho_off.first*rho00.second))/sqr(1.-rho00.first);
Scatter2DPtr h_ratio_large;
book(h_ratio_large,3,2,1);
h_ratio_large->addPoint(0.65, ratio, make_pair(0.35,0.35),make_pair(dr,dr) );
// rho 1 -1 for xp >0.3 and cos theta < 0.5
normalize(_h_alpha_large_low );
rho_off = calcRho(_h_alpha_large_low,1);
book(h_off_low,4,2,1);
h_off_low->addPoint(0.65, rho_off.first, make_pair(0.35,0.35),make_pair(rho_off.second,rho_off.second) );
// rho 1 -1 for xp >0.3 and cos theta > 0.5
normalize(_h_alpha_large_high);
rho_off = calcRho(_h_alpha_large_high,1);
book(h_off_high,4,2,2);
h_off_high->addPoint(0.65, rho_off.first, make_pair(0.35,0.35),make_pair(rho_off.second,rho_off.second) );
}
/// @}
private:
/// @{
Histo1DPtr _histXeK0;
BinnedHistogram _h_ctheta,_h_alpha,_h_alpha_low,_h_alpha_high;
Histo1DPtr _h_ctheta_large,_h_alpha_large, _h_alpha_large_low,_h_alpha_large_high;
/// @}
};
RIVET_DECLARE_ALIASED_PLUGIN(OPAL_1997_S3608263, OPAL_1997_I447146);
}
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