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CLEOII_2000_I505170

Spectral functions in $\tau^-\to\pi^-\pi^-\pi^+\pi^0\nu_\tau$
Experiment: CLEOII (CESR)
Inspire ID: 505170
Status: VALIDATED NOHEPDATA
Authors:
  • Peter Richardson
References:
  • Phys.Rev.D 61 (2000) 072003
Beams: * *
Beam energies: ANY
Run details:
  • Any process producing tau leptons, originally e+e-

Measurement of the spectral functions for $\tau^-\to\pi^-\pi^-\pi^+\pi^0\nu_\tau$, $\tau^-\to\pi^-\omega\nu_\tau$ and non-$\omega$ $\tau^-\to\pi^-\pi^-\pi^+\pi^0\nu_\tau$. The helicity angle in $\tau^-\to\pi^-\omega\nu_\tau$ and mass distributions are also measured.

Source code: CLEOII_2000_I505170.cc
  1// -*- C++ -*-
  2#include "Rivet/Analysis.hh"
  3#include "Rivet/Projections/UnstableParticles.hh"
  4#include "Rivet/Projections/DecayedParticles.hh"
  5
  6namespace Rivet {
  7
  8
  9  /// @brief  tau -> 4 pions
 10  class CLEOII_2000_I505170 : public Analysis {
 11  public:
 12
 13    /// Constructor
 14    RIVET_DEFAULT_ANALYSIS_CTOR(CLEOII_2000_I505170);
 15
 16
 17    /// @name Analysis methods
 18    /// @{
 19
 20    /// Book histograms and initialise projections before the run
 21    void init() {
 22      // Initialise and register projections
 23      UnstableParticles ufs = UnstableParticles(Cuts::abspid==15);
 24      declare(ufs, "UFS");
 25      DecayedParticles TAU(ufs);
 26      TAU.addStable(310);
 27      TAU.addStable(111);
 28      TAU.addStable(221);
 29      declare(TAU, "TAU");
 30      // histos
 31      for (unsigned int ix=0; ix<6; ++ix) {
 32        book(_h_mass[ix], 3, 1, 1+ix);
 33        if (ix>2) continue;
 34        book(_h_spect[ix], 1, 1, 1+ix);
 35      }
 36      book(_h_angle, 2, 1, 1);
 37      book(_c,"TMP/nTau");
 38    }
 39
 40
 41    /// Perform the per-event analysis
 42    void analyze(const Event& event) {
 43      DecayedParticles TAU = apply<DecayedParticles>(event, "TAU");
 44      // loop over particles
 45      for (unsigned int ix=0; ix<TAU.decaying().size(); ++ix) {
 46      	_c->fill();
 47        int sign = TAU.decaying()[ix].pid()>0 ? 1 : -1;
 48        if (!(TAU.modeMatches(ix,5,mode  ) ||
 49              TAU.modeMatches(ix,5,modeCC))) continue;
 50        const Particle  & pi0 = TAU.decayProducts()[ix].at( 111     )[0];
 51        const Particles & pim = TAU.decayProducts()[ix].at(-211*sign);
 52        const Particle  & pip = TAU.decayProducts()[ix].at( 211*sign)[0];
 53        FourMomentum phad = pim[0].mom()+pim[1].mom()+pip.mom()+pi0.mom();
 54        const double q = phad.mass();
 55        const double mtau = TAU.decaying()[ix].mass();
 56        _h_spect[0]->fill(phad.mass(),sqr(mtau)*mtau/q/sqr(sqr(mtau)-sqr(q))/(sqr(mtau)+2.*sqr(q)));
 57        Particle omega;
 58        int iomega=-1;
 59        for (unsigned int ix=0; ix<2; ++ix) {
 60          Particle parent = pim[ix];
 61          while (!parent.parents().empty()) {
 62            parent = parent.parents()[0];
 63            if (parent.pid()==223) break;
 64          }
 65          if (parent.pid()==223) {
 66            omega=parent;
 67            iomega=ix;
 68          }
 69        }
 70        if (iomega>=0) {
 71          _h_spect[1]->fill(phad.mass(),sqr(mtau)*mtau/q/sqr(sqr(mtau)-sqr(q))/(sqr(mtau)+2.*sqr(q)));
 72          const int ibatch = iomega == 0 ? 1 : 0;
 73          const LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(omega.mom().betaVec());
 74          const Vector3 axis = boost.transform(pim[ibatch].mom());
 75          const FourMomentum ppi0 = boost.transform(pi0.mom());
 76          const FourMomentum ppip = boost.transform(pip.mom());
 77          const Vector3 norm = ppi0.p3().cross(pip.p3()).unit();
 78          const double cTheta = axis.dot(norm);
 79          _h_angle->fill(cTheta);
 80        }
 81        else {
 82          _h_spect[2]->fill(phad.mass(),sqr(mtau)*mtau/q/sqr(sqr(mtau)-sqr(q))/(sqr(mtau)+2.*sqr(q)));
 83        }
 84        _h_mass[0]->fill((phad-pim[0].mom()).mass());
 85        _h_mass[0]->fill((phad-pim[1].mom()).mass());
 86        _h_mass[1]->fill((pim[0].mom()+pi0.mom()).mass());
 87        _h_mass[1]->fill((pim[1].mom()+pi0.mom()).mass());
 88        _h_mass[2]->fill((pim[1].mom()+pip.mom()).mass());
 89        _h_mass[3]->fill((pip   .mom()+pi0.mom()).mass());
 90        _h_mass[4]->fill(q);
 91        _h_mass[5]->fill((phad-pi0.mom()).mass());
 92      }
 93    }
 94
 95
 96    /// Normalise histograms etc., after the run
 97    void finalize() {
 98      const double Gamma = 6.582119514e-25/290.3e-15;
 99      const double GF    = 1.1663787e-5;
100      const double cosC  = 0.97373;
101      scale(_h_spect, Gamma*16.*sqr(M_PI)/sqr(GF*cosC)/ *_c);
102      normalize(_h_mass,  1.0, false);
103      normalize(_h_angle, 1.0, false);
104
105    }
106
107    /// @}
108
109
110    /// @name Histograms
111    /// @{
112    Histo1DPtr _h_spect[3],_h_angle,_h_mass[6];
113    CounterPtr _c;
114    const map<PdgId,unsigned int> mode   = { { 111,1},{-211,2},{ 211,1},{ 16,1}};
115    const map<PdgId,unsigned int> modeCC = { { 111,1},{ 211,2},{-211,1},{-16,1}};
116    /// @}
117
118
119  };
120
121
122  RIVET_DECLARE_PLUGIN(CLEOII_2000_I505170);
123
124}