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| // -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/UnstableParticles.hh"
#include "Rivet/Tools/BinnedHistogram.hh"
namespace Rivet {
/// @brief D* poliarzation at 29 GeV
class TPC_1991_I316132 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(TPC_1991_I316132);
/// @name Analysis methods
//@{
/// Book histograms and initialise projections before the run
void init() {
// Initialise and register projections
declare(Beam(), "Beams");
declare(UnstableParticles(), "UFS");
// Book histograms
{Histo1DPtr tmp; _h_ctheta.add(0.3,0.4,book(tmp, "ctheta_0",20,-1,1));}
{Histo1DPtr tmp; _h_ctheta.add(0.4,0.5,book(tmp, "ctheta_1",20,-1,1));}
{Histo1DPtr tmp; _h_ctheta.add(0.5,0.6,book(tmp, "ctheta_2",20,-1,1));}
{Histo1DPtr tmp; _h_ctheta.add(0.6,0.7,book(tmp, "ctheta_3",20,-1,1));}
{Histo1DPtr tmp; _h_ctheta.add(0.7,0.8,book(tmp, "ctheta_4",20,-1,1));}
{Histo1DPtr tmp; _h_ctheta.add(0.8,1.0,book(tmp, "ctheta_5",20,-1,1));}
book(_h_ctheta_all, "ctheta_all",20,-1,1);
{Histo1DPtr tmp; _h_phi.add(0.3,0.4,book(tmp, "phi_0",20,-M_PI,M_PI));}
{Histo1DPtr tmp; _h_phi.add(0.4,0.5,book(tmp, "phi_1",20,-M_PI,M_PI));}
{Histo1DPtr tmp; _h_phi.add(0.5,0.6,book(tmp, "phi_2",20,-M_PI,M_PI));}
{Histo1DPtr tmp; _h_phi.add(0.6,0.7,book(tmp, "phi_3",20,-M_PI,M_PI));}
{Histo1DPtr tmp; _h_phi.add(0.7,0.8,book(tmp, "phi_4",20,-M_PI,M_PI));}
{Histo1DPtr tmp; _h_phi.add(0.8,1.0,book(tmp, "phi_5",20,-M_PI,M_PI));}
book(_h_phi_all, "phi_all",20,-M_PI,M_PI);
{Histo1DPtr tmp; _h_01.add(0.3,0.4,book(tmp, "h_01_0",20,-1,1));}
{Histo1DPtr tmp; _h_01.add(0.4,0.5,book(tmp, "h_01_1",20,-1,1));}
{Histo1DPtr tmp; _h_01.add(0.5,0.6,book(tmp, "h_01_2",20,-1,1));}
{Histo1DPtr tmp; _h_01.add(0.6,0.7,book(tmp, "h_01_3",20,-1,1));}
{Histo1DPtr tmp; _h_01.add(0.7,0.8,book(tmp, "h_01_4",20,-1,1));}
{Histo1DPtr tmp; _h_01.add(0.8,1.0,book(tmp, "h_01_5",20,-1,1));}
book(_h_01_all, "h_01_all",20,-1,1);
}
/// Perform the per-event analysis
void analyze(const Event& event) {
// Get beams and average beam momentum
const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
const double Emax = ( beams.first.p3().mod() + beams.second.p3().mod() ) / 2.0;
Vector3 axis;
if(beams.first.pid()>0)
axis = beams.first .momentum().p3().unit();
else
axis = beams.second.momentum().p3().unit();
const UnstableParticles& ufs = apply<UnstableParticles>(event, "UFS");
for (const Particle& p : ufs.particles(Cuts::abspid==413)) {
if(p.children().size()!=2) continue;
int sign = p.pid()/413;
Particle D0;
if(p.children()[0].pid()==sign*421 && p.children()[1].pid()==sign*211) {
D0 = p.children()[0];
}
else if(p.children()[1].pid()==sign*421 && p.children()[0].pid()==sign*211) {
D0 = p.children()[1];
}
else
continue;
LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(p.momentum().betaVec());
double xE = p.momentum().t()/Emax;
Vector3 e1z = p.momentum().p3().unit();
Vector3 e1y = e1z.cross(axis).unit();
Vector3 e1x = e1y.cross(e1z).unit();
Vector3 axis1 = boost.transform(D0.momentum()).p3().unit();
double ctheta = e1z.dot(axis1);
_h_ctheta.fill(xE,ctheta);
double phi = atan2(e1y.dot(axis1),e1x.dot(axis1));
_h_phi.fill(xE,phi);
_h_01.fill(xE,ctheta,cos(phi));
if(xE>0.3) {
_h_ctheta_all->fill(ctheta);
_h_phi_all->fill(phi);
_h_01_all->fill(ctheta,cos(phi));
}
}
}
pair<double,double> calcRho(Histo1DPtr hist,unsigned int mode) {
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(mode==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 if(mode==1) {
ai = 0.5/M_PI*(bin.xMax()-bin.xMin());
bi = 0.5/M_PI*(sin(2.*bin.xMin())-sin(2.*bin.xMax()));
}
else {
ai=0.;
bi= sqrt(0.5)*((1.-sqr(bin.xMax()))*sqrt(1.-sqr(bin.xMax()))-
(1.-sqr(bin.xMin()))*sqrt(1.-sqr(bin.xMin())));
}
double Ei = bin.areaErr();
sum1 += sqr(bi/Ei);
sum2 += bi/sqr(Ei)*(Oi-ai);
}
return make_pair(sum2/sum1,sqrt(1./sum1));
}
pair<double,pair<double,double> > calcAlpha(Histo1DPtr hist) {
if(hist->numEntries()==0.) return make_pair(0.,make_pair(0.,0.));
double d = 3./(pow(hist->xMax(),3)-pow(hist->xMin(),3));
double c = 3.*(hist->xMax()-hist->xMin())/(pow(hist->xMax(),3)-pow(hist->xMin(),3));
double sum1(0.),sum2(0.),sum3(0.),sum4(0.),sum5(0.);
for (auto bin : hist->bins() ) {
double Oi = bin.area();
if(Oi==0.) continue;
double a = d*(bin.xMax() - bin.xMin());
double b = d/3.*(pow(bin.xMax(),3) - pow(bin.xMin(),3));
double Ei = bin.areaErr();
sum1 += a*Oi/sqr(Ei);
sum2 += b*Oi/sqr(Ei);
sum3 += sqr(a)/sqr(Ei);
sum4 += sqr(b)/sqr(Ei);
sum5 += a*b/sqr(Ei);
}
// calculate alpha
double alpha = (-c*sum1 + sqr(c)*sum2 + sum3 - c*sum5)/(sum1 - c*sum2 + c*sum4 - sum5);
// and error
double cc = -pow((sum3 + sqr(c)*sum4 - 2*c*sum5),3);
double bb = -2*sqr(sum3 + sqr(c)*sum4 - 2*c*sum5)*(sum1 - c*sum2 + c*sum4 - sum5);
double aa = sqr(sum1 - c*sum2 + c*sum4 - sum5)*(-sum3 - sqr(c)*sum4 + sqr(sum1 - c*sum2 + c*sum4 - sum5) + 2*c*sum5);
double dis = sqr(bb)-4.*aa*cc;
if(dis>0.) {
dis = sqrt(dis);
return make_pair(alpha,make_pair(0.5*(-bb+dis)/aa,-0.5*(-bb-dis)/aa));
}
else {
return make_pair(alpha,make_pair(0.,0.));
}
}
/// Normalise histograms etc., after the run
void finalize() {
vector<double> x = {0.3,0.4,0.5,0.6,0.7,0.8,1.};
Scatter2DPtr h_alpha, h_rho00, h_rhooff, h_01;
book(h_alpha , 1,1,1);
book(h_rho00 , 2,1,1);
book(h_rhooff, 2,1,2);
book(h_01 , 2,1,3);
for(unsigned int ix=0;ix<6;++ix) {
double integral = _h_ctheta.histos()[ix]->integral();
scale( _h_ctheta.histos()[ix],1./integral);
scale( _h_01.histos()[ix],1./integral);
normalize(_h_phi.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) );
pair<double,pair<double,double> > alpha = calcAlpha(_h_ctheta.histos()[ix]);
h_alpha->addPoint(0.5*(x[ix]+x[ix+1]), alpha.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
alpha.second);
pair<double,double> rhooff = calcRho(_h_phi.histos()[ix],1);
h_rhooff->addPoint(0.5*(x[ix]+x[ix+1]), rhooff.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(rhooff.second,rhooff.second) );
pair<double,double> rho01 = calcRho(_h_01.histos()[ix],2);
h_01->addPoint(0.5*(x[ix]+x[ix+1]), rho01.first, make_pair(0.5*(x[ix+1]-x[ix]),0.5*(x[ix+1]-x[ix])),
make_pair(rho01.second,rho01.second) );
}
// integral over z
book(h_alpha , 1,2,1);
book(h_rho00 , 2,2,1);
book(h_rhooff, 2,2,2);
book(h_01 , 2,2,3);
double integral = _h_ctheta_all->integral();
scale( _h_ctheta_all,1./integral);
scale( _h_01_all,1./integral);
normalize(_h_phi_all);
pair<double,double> rho00 = calcRho(_h_ctheta_all,0);
h_rho00->addPoint(.65, rho00.first, make_pair(0.35,0.35),
make_pair(rho00.second,rho00.second) );
pair<double,pair<double,double> > alpha = calcAlpha(_h_ctheta_all);
h_alpha->addPoint(.65, alpha.first, make_pair(0.35,0.35),
alpha.second);
pair<double,double> rhooff = calcRho(_h_phi_all,1);
h_rhooff->addPoint(.65, rhooff.first, make_pair(0.35,0.35),
make_pair(rhooff.second,rhooff.second) );
pair<double,double> rho01 = calcRho(_h_01_all,2);
h_01->addPoint(.65, rho01.first, make_pair(0.35,0.35),
make_pair(rho01.second,rho01.second) );
}
//@}
/// @name Histograms
//@{
BinnedHistogram _h_ctheta,_h_phi,_h_01;
Histo1DPtr _h_ctheta_all,_h_phi_all,_h_01_all;
//@}
};
// The hook for the plugin system
RIVET_DECLARE_PLUGIN(TPC_1991_I316132);
}
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