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CLEOII_2005_I668268

Decay asymmetry in $\Lambda^+_c\to\Lambda^0 e^+ \nu_e$
Experiment: CLEOII (CESR)
Inspire ID: 668268
Status: VALIDATED
Authors:
  • Peter Richardson
References:
  • Phys.Lett.B 323 (1994) 219-226
Beams: * *
Beam energies: ANY
Run details:
  • Any process producing Lambda_c+, original e+e-

Measurement of the decay asymmetry in $\Lambda^+_c\to\Lambda^0 e^+ \nu_e$ by CLEOII. The product of assymetries $\alpha_{\Lambda_c^+}\alpha_\Lambda$ is extracted as that is what is measured not $\alpha_{\Lambda_c^+}$ and there has been a significant change in $\alpha_\Lambda$ since this paper was published

Source code: CLEOII_2005_I668268.cc
  1// -*- C++ -*-
  2#include "Rivet/Analysis.hh"
  3#include "Rivet/Projections/UnstableParticles.hh"
  4
  5namespace Rivet {
  6
  7
  8  /// @brief Lambda_c -> Lambda e+ nu_e asymmetry
  9  class CLEOII_2005_I668268 : public Analysis {
 10  public:
 11
 12    /// Constructor
 13    RIVET_DEFAULT_ANALYSIS_CTOR(CLEOII_2005_I668268);
 14
 15
 16    /// @name Analysis methods
 17    /// @{
 18
 19    /// Book histograms and initialise projections before the run
 20    void init() {
 21      // Initialise and register projections
 22      declare(UnstableParticles(), "UFS" );
 23
 24      // Book histograms
 25      book(_h_Lambda, "/TMP/hLambda", 20, -1.,1.);
 26    }
 27
 28    void findChildren(Particle parent, int sign, unsigned int & npart,
 29		      Particles & lambda, Particles & e, Particles & nu) {
 30      for(const Particle & child : parent.children()) {
 31	if(child.pid()==sign*PID::LAMBDA) {
 32	  lambda.push_back(child);
 33	  ++npart;
 34	}
 35	else if(child.pid()==-sign*PID::EMINUS) {
 36	  e.push_back(child);
 37	  ++npart;
 38	}
 39	else if(child.pid()==sign*PID::NU_E) {
 40	  nu.push_back(child);
 41	  ++npart;
 42	}
 43	else if(!child.children().empty()) {
 44	  findChildren(child,sign,npart,lambda,e,nu);
 45	}
 46	else {
 47	  ++npart;
 48	}
 49      }
 50    }
 51
 52    /// Perform the per-event analysis
 53    void analyze(const Event& event) {
 54      // loop over Lambda_c baryons
 55      for( const Particle& Lambdac : apply<UnstableParticles>(event, "UFS").particles(Cuts::abspid==4122)) {
 56	int sign = Lambdac.pid()/4122;
 57        Particles lambda,e,nu;
 58        unsigned int npart(0);
 59        findChildren(Lambdac,sign,npart,lambda,e,nu);
 60	if(npart!=3 || lambda.size()!=1 || e.size()!=1 || nu.size()!=1) continue;
 61	Particle baryon2;
 62	if(lambda[0].children()[0].pid()== sign*2212 &&
 63	   lambda[0].children()[1].pid()== -sign*211) {
 64	  baryon2 = lambda[0].children()[0];
 65	}
 66	else if(lambda[0].children()[1].pid()== sign*2212 &&
 67		lambda[0].children()[0].pid()== -sign*211) {
 68	  baryon2 = lambda[0].children()[1];
 69	}
 70	else
 71	  continue;
 72	// first boost to the Lambdac rest frame
 73	LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(Lambdac.momentum().betaVec());
 74	FourMomentum pbaryon1 = boost1.transform(lambda[0].momentum());
 75	FourMomentum pbaryon2 = boost1.transform(baryon2  .momentum());
 76	// to lambda rest frame
 77	LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pbaryon1.betaVec());
 78	Vector3 axis = pbaryon1.p3().unit();
 79	FourMomentum pp = boost2.transform(pbaryon2);
 80	// calculate angle
 81	double cTheta = pp.p3().unit().dot(axis);
 82	_h_Lambda->fill(cTheta);
 83      }
 84    }
 85
 86    pair<double,double> calcAlpha(Histo1DPtr hist) {
 87      if(hist->numEntries()==0.) return make_pair(0.,0.);
 88      double sum1(0.),sum2(0.);
 89      for (const auto& bin : hist->bins() ) {
 90        double Oi = bin.sumW();
 91        if(Oi==0.) continue;
 92        double ai = 0.5*(bin.xMax()-bin.xMin());
 93        double bi = 0.5*ai*(bin.xMax()+bin.xMin());
 94        double Ei = bin.errW();
 95        sum1 += sqr(bi/Ei);
 96        sum2 += bi/sqr(Ei)*(Oi-ai);
 97      }
 98      return make_pair(sum2/sum1,sqrt(1./sum1));
 99    }
100
101    /// Normalise histograms etc., after the run
102    void finalize() {
103      //  asymmetry
104      normalize(_h_Lambda);
105      Estimate1DPtr _h_alpha;
106      book(_h_alpha,1,1,1);
107      pair<double,double> alpha = calcAlpha(_h_Lambda);
108      _h_alpha->bin(1).set(alpha.first, alpha.second);
109    }
110    /// @}
111
112
113    /// @name Histograms
114    /// @{
115    Histo1DPtr _h_Lambda;
116    /// @}
117
118
119  };
120
121
122  RIVET_DECLARE_PLUGIN(CLEOII_2005_I668268);
123
124}