rivet is hosted by Hepforge, IPPP Durham

Rivet analyses reference

BELLE_2019_I1687566

Transverse polarization of $\Lambda^0$ baryons in the continuum at 10.58 GeV
Experiment: BELLE (KEKB)
Inspire ID: 1687566
Status: VALIDATED
Authors:
  • Peter Richardson
References:
  • Phys.Rev.Lett. 122 (2019) no.4, 042001
Beams: e- e+
Beam energies: (5.3, 5.3) GeV
Run details:
  • e+e- > hadrons in the continuum

Measurement of the transverse polarization of $\Lambda^0$ ($\bar\Lambda^0$) in the $e^+e^-$ continuum at centre-of-mass energies near 10.58 GeV. The polarization is measured as a function of the momentum fraction and transverse momentum. The polarization is also measured for events with a $\pi^\pm$ or $K^\pm$ in the opposite hemisphere as a function of the momentum fractions of the $\Lambda^0$ and charged meson.The polarization as a function of the momentum fraction for $\Lambda^0$ baryons produced in $(uds)$ events, and for prompt $\Lambda^0$ and those from the decay of $\Sigma^0$ mesons is also measured.

Source code: BELLE_2019_I1687566.cc
  1// -*- C++ -*-
  2#include "Rivet/Analysis.hh"
  3#include "Rivet/Projections/Beam.hh"
  4#include "Rivet/Projections/FinalState.hh"
  5#include "Rivet/Projections/UnstableParticles.hh"
  6#include "Rivet/Projections/Thrust.hh"
  7
  8#define I_KNOW_THE_INITIAL_QUARKS_PROJECTION_IS_DODGY_BUT_NEED_TO_USE_IT
  9#include "Rivet/Projections/InitialQuarks.hh"
 10
 11namespace Rivet {
 12
 13
 14  /// @brief Transverse Lambda polarization
 15  class BELLE_2019_I1687566 : public Analysis {
 16  public:
 17
 18    /// Constructor
 19    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2019_I1687566);
 20
 21
 22    /// @name Analysis methods
 23    /// @{
 24
 25    /// Book histograms and initialise projections before the run
 26    void init() {
 27
 28      // Initialise and register projections
 29      declare(Beam(), "Beams");
 30      const FinalState fs;
 31      declare(fs, "FS");
 32      declare(Thrust(fs),"Thrust");
 33      declare(UnstableParticles(),"UFS");
 34      declare(InitialQuarks(), "IQF");
 35
 36      // Book histograms
 37      for(unsigned int ix=0;ix<4;++ix) {
 38      	book(_p_lam[ix]    ,1,ix+1,1);
 39      	book(_p_bar[ix]    ,1,ix+1,2);
 40      	book(_p_lam_pip[ix],2,ix+1,1);
 41      	book(_p_lam_pim[ix],2,ix+1,2);
 42      	book(_p_lam_Kp [ix],2,ix+1,3);
 43      	book(_p_lam_Km [ix],2,ix+1,4);
 44      	book(_p_bar_pip[ix],2,ix+1,5);
 45      	book(_p_bar_pim[ix],2,ix+1,6);
 46      	book(_p_bar_Kp [ix],2,ix+1,7);
 47      	book(_p_bar_Km [ix],2,ix+1,8);
 48      }
 49      book(_p_lam_inc   ,3,1,1);
 50      book(_p_lam_prompt,3,1,3);
 51      book(_p_lam_sigma ,3,1,5);
 52      book(_p_bar_inc   ,3,1,2);
 53      book(_p_bar_prompt,3,1,4);
 54      book(_p_bar_sigma ,3,1,6);
 55    }
 56
 57
 58    /// Perform the per-event analysis
 59    void analyze(const Event& event) {
 60      static const double alpha=0.642;
 61      static const double norm=3./alpha*100.;
 62      // Get beams and average beam momentum
 63      const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
 64      const double meanBeamMom = ( beams.first.p3().mod() +
 65                                   beams.second.p3().mod() ) / 2.0;
 66
 67      int flavour = 0;
 68      const InitialQuarks& iqf = apply<InitialQuarks>(event, "IQF");
 69
 70      // If we only have two quarks (qqbar), just take the flavour.
 71      // If we have more than two quarks, look for the highest energetic q-qbar pair.
 72      if (iqf.particles().size() == 2) {
 73        flavour = iqf.particles().front().abspid();
 74      }
 75      else {
 76        map<int, double> quarkmap;
 77        for (const Particle& p : iqf.particles()) {
 78          if (quarkmap[p.pid()] < p.E()) {
 79            quarkmap[p.pid()] = p.E();
 80          }
 81        }
 82        double maxenergy = 0.;
 83        for (int i = 1; i <= 5; ++i) {
 84          if (quarkmap[i]+quarkmap[-i] > maxenergy) {
 85            flavour = i;
 86          }
 87        }
 88      }
 89      // thrust, to define an axis
 90      const Thrust& thrust = apply<Thrust>(event, "Thrust");
 91      const UnstableParticles& ufs = apply<UnstableParticles>(event, "UFS");
 92      const FinalState & fs = apply<FinalState>(event, "FS");
 93
 94      if(thrust.thrust()<0.8)
 95	vetoEvent;
 96      for(const Particle & lambda : ufs.particles(Cuts::abspid==3122)) {
 97	int sign = lambda.pid()/3122;
 98	if(lambda.children().size()!=2) continue;
 99	// look at the decay products
100	Particle proton,pion;
101	if(lambda.children()[0].pid()==sign*2212 &&
102	   lambda.children()[1].pid()==-sign*211) {
103	  proton = lambda.children()[0];
104	  pion   = lambda.children()[1];
105	}
106	else if(lambda.children()[1].pid()==sign*2212 &&
107		lambda.children()[0].pid()==-sign*211) {
108	  proton = lambda.children()[1];
109	  pion   = lambda.children()[0];
110	}
111	else
112	  continue;
113	double xE = lambda.momentum().t()/meanBeamMom;
114	if(xE<0.2 || xE>0.9) continue;
115	Vector3 axis1 = lambda.momentum().p3().unit();
116	// transverse polarization
117	Vector3 axis2;
118	if(lambda.momentum().p3().dot(thrust.thrustAxis())>=0.) {
119	  axis2 = thrust.thrustAxis();
120	}
121	else {
122	  axis2 =-thrust.thrustAxis();
123	}
124	Vector3 axis3 = axis2.cross(axis1).unit();
125	// boost to the lambda rest frame
126	LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(lambda.momentum().betaVec());
127	FourMomentum pproton = boost.transform(proton.momentum());
128	int ibin=-1;
129	if(xE<=0.3)
130	  ibin=0;
131	else if(xE<=0.4)
132	  ibin=1;
133	else if(xE<=0.5)
134	  ibin=2;
135	else if(xE<=0.9)
136	  ibin=3;
137	double cTheta = axis3.dot(pproton.p3().unit())*norm;
138	double pT = sqrt(sqr(thrust.thrustMajorAxis().dot(lambda.momentum().p3()))+
139			 sqr(thrust.thrustMinorAxis().dot(lambda.momentum().p3())));
140	bool prompt=true;
141	for(const Particle & parent : lambda.parents()) {
142	  if(parent.abspid()==3212) {
143	    prompt=false;
144	    break;
145	  }
146	}
147	// using thrust axis
148	if(sign>0) {
149	  _p_lam_inc->fill(xE,cTheta);
150	  _p_lam[ibin]->fill(pT,cTheta);
151	  if(flavour<=3) {
152	    if(prompt) _p_lam_prompt->fill(xE,cTheta);
153	    else       _p_lam_sigma ->fill(xE,cTheta);
154	  }
155	}
156	else if(sign<0) {
157	  _p_bar_inc->fill(xE,cTheta);
158	  _p_bar[ibin]->fill(pT,cTheta);
159	  if(flavour<=3) {
160	    if(prompt) _p_bar_prompt->fill(xE,cTheta);
161	    else       _p_bar_sigma ->fill(xE,cTheta);
162	  }
163	}
164	for(const Particle & p2 : fs.particles(Cuts::abspid==211 || Cuts::abspid==321) ) {
165	  if(axis2.dot(p2.p3())>0.) continue;
166	  double xH = p2.momentum().t()/meanBeamMom;
167	  Vector3 axisH = p2.momentum().p3();
168	  Vector3 axis4 = axisH.cross(axis1).unit();
169	  double cTheta2 = axis3.dot(pproton.p3().unit())*norm;
170	  if(sign>0) {
171	    if(p2.pid()==211)       _p_lam_pip[ibin]->fill(xH,cTheta2);
172	    else if(p2.pid()==-211) _p_lam_pim[ibin]->fill(xH,cTheta2);
173	    else if(p2.pid()== 321) _p_lam_Kp [ibin]->fill(xH,cTheta2);
174	    else if(p2.pid()==-321) _p_lam_Km [ibin]->fill(xH,cTheta2);
175	  }
176	  else {
177	    if(p2.pid()==211)       _p_bar_pip[ibin]->fill(xH,cTheta2);
178	    else if(p2.pid()==-211) _p_bar_pim[ibin]->fill(xH,cTheta2);
179	    else if(p2.pid()== 321) _p_bar_Kp [ibin]->fill(xH,cTheta2);
180	    else if(p2.pid()==-321) _p_bar_Km [ibin]->fill(xH,cTheta2);
181	  }
182	}
183      }
184    }
185
186
187    /// Normalise histograms etc., after the run
188    void finalize() {
189    }
190
191    /// @}
192
193
194    /// @name Histograms
195    /// @{
196    Profile1DPtr _p_lam[4],_p_bar[4];
197    Profile1DPtr _p_lam_pip[4],_p_lam_pim[4],_p_lam_Kp[4],_p_lam_Km[4];
198    Profile1DPtr _p_bar_pip[4],_p_bar_pim[4],_p_bar_Kp[4],_p_bar_Km[4];
199    Profile1DPtr _p_lam_inc,_p_lam_prompt,_p_lam_sigma;
200    Profile1DPtr _p_bar_inc,_p_bar_prompt,_p_bar_sigma;
201    /// @}
202
203
204  };
205
206
207  RIVET_DECLARE_PLUGIN(BELLE_2019_I1687566);
208
209
210}