Rivet analyses
Decay asymmetries in Ξc0 → Ξ−π+
Experiment: BELLE (KEKB)
Inspire ID: 1851126
Status: VALIDATED
Authors: - Peter Richardson
References: - arXiv: 2103.06496
Beams: * *
Beam energies: ANY
Run details: - Any process producing Xi_c0
Measurement of the decay asymmetries in Ξc0 → Ξ−π+ by the BELLE experiment. The asymmetry parameter is extracted by fitting to normalised angular distribution. This analysis is useful for testing spin correlations in hadron decays.
Source
code:BELLE_2021_I1851126.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/UnstableParticles.hh"
namespace Rivet {
/// @brief Xi_c0 -> Xi-pi+ asymmetry
class BELLE_2021_I1851126 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2021_I1851126);
/// @name Analysis methods
///@{
/// Book histograms and initialise projections before the run
void init() {
// Initialise and register projections
declare(UnstableParticles(Cuts::abspid==4132), "UFS" );
// Book histograms
book(_h_c_P,1,1,1);
book(_h_c_M,1,1,2);
}
/// Perform the per-event analysis
void analyze(const Event& event) {
// loop over Xi_c0 baryons
for( const Particle& Xic : apply<UnstableParticles>(event, "UFS").particles()) {
int sign = Xic.pid()/4132;
if(Xic.children().size()!=2) continue;
Particle baryon1,meson1;
if(Xic.children()[0].pid()==sign*3312 &&
Xic.children()[1].pid()==sign*211) {
baryon1 = Xic.children()[0];
meson1 = Xic.children()[1];
}
else if(Xic.children()[1].pid()==sign*3312 &&
Xic.children()[0].pid()==sign*211) {
baryon1 = Xic.children()[1];
meson1 = Xic.children()[0];
}
else
continue;
Particle baryon2,meson2;
if(baryon1.children()[0].pid()== sign*3122 &&
baryon1.children()[1].pid()==-sign*211) {
baryon2 = baryon1.children()[0];
meson2 = baryon1.children()[1];
}
else if(baryon1.children()[1].pid()== sign*3122 &&
baryon1.children()[0].pid()==-sign*211) {
baryon2 = baryon1.children()[1];
meson2 = baryon1.children()[0];
}
else
continue;
// first boost to the Xic rest frame
LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(Xic.momentum().betaVec());
FourMomentum pbaryon1 = boost1.transform(baryon1.momentum());
FourMomentum pbaryon2 = boost1.transform(baryon2.momentum());
// to lambda rest frame
LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pbaryon1.betaVec());
Vector3 axis = pbaryon1.p3().unit();
FourMomentum pp = boost2.transform(pbaryon2);
// calculate angle
double cTheta = pp.p3().unit().dot(axis);
if(sign>0)
_h_c_P->fill(cTheta,1.);
else
_h_c_M->fill(cTheta,1.);
}
}
pair<double,double> calcAlpha(Histo1DPtr hist) {
if(hist->numEntries()==0.) return make_pair(0.,0.);
double sum1(0.),sum2(0.);
for (const auto& bin : hist->bins() ) {
double Oi = bin.sumW();
if(Oi==0.) continue;
double ai = 0.5*(bin.xMax()-bin.xMin());
double bi = 0.5*ai*(bin.xMax()+bin.xMin());
double Ei = bin.errW();
sum1 += sqr(bi/Ei);
sum2 += bi/sqr(Ei)*(Oi-ai);
}
return make_pair(sum2/sum1,sqrt(1./sum1));
}
/// Normalise histograms etc., after the run
void finalize() {
// first mode
normalize(_h_c_P);
Estimate0DPtr _h_alpha_P;
book(_h_alpha_P,2,1,1);
pair<double,double> alphaP = calcAlpha(_h_c_P);
alphaP.first /= -0.401;
alphaP.second/= -0.401;
_h_alpha_P->set(alphaP.first, alphaP.second);
// second mode
normalize(_h_c_M);
Estimate0DPtr _h_alpha_M;
book(_h_alpha_M,2,1,2);
pair<double,double> alphaM = calcAlpha(_h_c_M);
alphaM.first /= 0.389;
alphaM.second/= 0.389;
_h_alpha_M->set(alphaM.first, alphaM.second);
// average
double aver = 0.5*(-alphaP.first+alphaM.first);
double err = 0.5*sqrt(sqr(alphaP.second)+sqr(alphaM.second));
Estimate0DPtr _h_alpha_aver;
book(_h_alpha_aver,2,1,3);
_h_alpha_aver->set(aver, err);
// asymetry
double asym = (alphaP.first+alphaM.first)/(alphaP.first-alphaM.first);
err = 2./sqr(alphaP.first-alphaM.first)*sqrt(sqr(alphaM.first *alphaP.second)+
sqr(alphaM.second*alphaP.first ));
Estimate0DPtr _h_alpha_asym;
book(_h_alpha_asym,2,1,4);
_h_alpha_asym->set(asym, err);
}
///@}
/// @name Histograms
///@{
Histo1DPtr _h_c_M,_h_c_P;
///@}
};
RIVET_DECLARE_PLUGIN(BELLE_2021_I1851126);
}