Rivet analyses

Mass distributions and helicity angles in B+ → K+π+π and B+ → K+K+K

Experiment: BELLE (KEKB)

Inspire ID: 667959

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.D 71 (2005) 092003

Beams: * *

Beam energies: ANY

Run details: - Any process producing B+ mesons, originally Upsilon(4S) decays

Measurement of Mass distributions and helicity angles in B+ → K+π+π and B+ → K+K+K decays. The data were read from the figures in the paper and the backgrounds given subtracted.

Source code:BELLE_2005_I667959.cc

// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/DecayedParticles.hh"
#include "Rivet/Projections/UnstableParticles.hh"

namespace Rivet {


  /// @brief B -> K pi pi K K K
  class BELLE_2005_I667959 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2005_I667959);


    /// @name Analysis methods
    /// @{

    /// Book histograms and initialise projections before the run
    void init() {
      UnstableParticles ufs = UnstableParticles(Cuts::abspid == 521);
      declare(ufs, "UFS");
      DecayedParticles BP(ufs);
      BP.addStable(PID::PI0);
      BP.addStable(PID::K0S);
      BP.addStable(PID::ETA);
      BP.addStable(PID::ETAPRIME);
      declare(BP, "BP");
      vector<double> bins = {0., 5., 10., 15., 20., 30.};
      vector<double> bins2 = {0., 1.05, 5., 10., 30.};
      // histos
      for (unsigned int ix = 0; ix < 2; ++ix) {
        book(_h_mass3[ix], 2, 1, 1 + ix);
        book(_h_mass2[0][ix], bins);
        if (ix == 0)
          book(_h_mass2[1][ix], bins);
        else
          book(_h_mass2[1][ix], bins2);
        for (unsigned int iy = 0; iy < 3; ++iy) {
          book(_h_mass[ix][iy], 1 + 4 * ix, 1, 1 + iy);
          if (iy == 2) continue;
          book(_h_mass_zoom[ix][iy], 1 + 4 * ix, 2, 1 + iy);
        }
        for (unsigned int iz = 0; iz < 5; ++iz) {
          book(_h_mass2[0][ix]->bin(1 + iz), 3, 1 + ix, 1 + iz);
          if (ix == 1 && iz == 4) continue;
          book(_h_mass2[1][ix]->bin(iz + 1), 6, 1 + ix, 1 + iz);
        }
      }
      for (unsigned int ix = 0; ix < 3; ++ix) {
        vector<double> bins3;
        if (ix == 0)
          bins3 = {0.82, 0.97, 1., 1.76};
        else if (ix == 1)
          bins3 = {0., 0.9, 1.06};
        else if (ix == 2)
          bins3 = {0., 1.05, 3.0};
        book(_h_angle[ix], bins3);
        for (unsigned int iy = 0; iy < 2; ++iy) {
          if (ix == 0)
            book(_h_angle[ix]->bin(2 * iy + 1), 4, 1, 1 + iy);
          else if (ix == 1)
            book(_h_angle[ix]->bin(iy + 1), 4, 1, 3 + iy);
          else if (ix == 2)
            book(_h_angle[ix]->bin(iy + 1), 7, 1, 1 + iy);
        }
      }
    }


    /// Perform the per-event analysis
    void analyze(const Event& event) {
      static const double mD0 = 1.86484, mJpsi = 3.096916, mPsi2S = 3.6861;
      DecayedParticles BP = apply<DecayedParticles>(event, "BP");
      // loop over particles
      for (unsigned int ix = 0; ix < BP.decaying().size(); ++ix) {
        int sign = BP.decaying()[ix].pid() / BP.decaying()[ix].abspid();
        // boost to B rest frame
        LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(
            BP.decaying()[ix].mom().betaVec());
        if (BP.modeMatches(ix, 3, mode1) || BP.modeMatches(ix, 3, mode1CC)) {
          const Particle& Kp = BP.decayProducts()[ix].at(sign * 321)[0];
          const Particle& pip = BP.decayProducts()[ix].at(sign * 211)[0];
          const Particle& pim = BP.decayProducts()[ix].at(-sign * 211)[0];
          FourMomentum pKpi = Kp.mom() + pim.mom();
          double mKpi = pKpi.mass();
          if (abs(mKpi - mD0) < 0.1) continue;
          FourMomentum ppipi = pip.mom() + pim.mom();
          double mpipi = ppipi.mass();
          if (abs(mpipi - mD0) < 0.015 || abs(mpipi - mJpsi) < 0.07 || abs(mpipi - mPsi2S) < 0.05) continue;
          _h_mass[0][0]->fill(mKpi);
          _h_mass[0][1]->fill(mpipi);
          _h_mass[0][2]->fill((Kp.mom() + pip.mom()).mass());
          _h_mass_zoom[0][0]->fill(mKpi);
          _h_mass_zoom[0][1]->fill(mpipi);
          if (sqr(mpipi) < 11.)
            _h_mass3[0]->fill(mKpi);
          else
            _h_mass3[1]->fill(mKpi);
          _h_mass2[0][0]->fill(sqr(mpipi), mKpi);
          _h_mass2[0][1]->fill(sqr(mKpi), mpipi);
          // helicity angles
          // Kpi
          pKpi = boost.transform(pKpi);
          LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pKpi.betaVec());
          FourMomentum ppi = boost2.transform(boost.transform(pim.mom()));
          const double cK = ppi.p3().unit().dot(pKpi.p3().unit());
          _h_angle[0]->fill(mKpi, cK);
          // pi pi
          ppipi = boost.transform(ppipi);
          LorentzTransform boost3 = LorentzTransform::mkFrameTransformFromBeta(ppipi.betaVec());
          ppi = boost3.transform(boost.transform(pim.mom()));
          const double cPi = ppi.p3().unit().dot(ppipi.p3().unit());
          _h_angle[1]->fill(mpipi, cPi);
        }
        else if (BP.modeMatches(ix, 3, mode2) || BP.modeMatches(ix, 3, mode2CC)) {
          const Particles& Kp = BP.decayProducts()[ix].at(sign * 321);
          const Particle& Km = BP.decayProducts()[ix].at(-sign * 321)[0];
          FourMomentum pKK[2] = {Kp[0].mom() + Km.mom(), Kp[1].mom() + Km.mom()};
          double mKK[2] = {pKK[0].mass(), pKK[1].mass()};
          if (mKK[0] > mKK[1]) {
            swap(mKK[0], mKK[1]);
            swap(pKK[0], pKK[1]);
          }
          _h_mass[1][0]->fill(mKK[0]);
          _h_mass[1][1]->fill(mKK[1]);
          _h_mass[1][2]->fill((Kp[0].mom() + Kp[1].mom()).mass());
          _h_mass_zoom[1][0]->fill(mKK[0]);
          _h_mass_zoom[1][1]->fill(mKK[1]);
          _h_mass2[1][0]->fill(sqr(mKK[1]), mKK[0]);
          _h_mass2[1][1]->fill(sqr(mKK[0]), mKK[1]);
          // helicity angles
          // Kpi
          pKK[0] = boost.transform(pKK[0]);
          LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pKK[0].betaVec());
          FourMomentum pK = boost2.transform(boost.transform(Km.mom()));
          double cK = pK.p3().unit().dot(pKK[0].p3().unit());
          _h_angle[2]->fill(mKK[0], cK);
        }
      }
    }


    /// Normalise histograms etc., after the run
    void finalize() {
      for (unsigned int ix = 0; ix < 2; ++ix) {
        normalize(_h_mass3[ix], 1.0, false);
        normalize(_h_mass[ix], 1.0, false);
        normalize(_h_mass_zoom[ix], 1.0, false);
        normalize(_h_mass2[ix], 1.0, false);
      }
      normalize(_h_angle, 1.0, false);
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h_mass[2][3], _h_mass_zoom[2][2], _h_mass3[2];
    Histo1DGroupPtr _h_mass2[2][2], _h_angle[3];
    const map<PdgId, unsigned int> mode1 = {{321, 1}, {211, 1}, {-211, 1}};
    const map<PdgId, unsigned int> mode1CC = {{-321, 1}, {211, 1}, {-211, 1}};
    const map<PdgId, unsigned int> mode2 = {{321, 2}, {-321, 1}};
    const map<PdgId, unsigned int> mode2CC = {{-321, 2}, {321, 1}};
    /// @}
  };


  RIVET_DECLARE_PLUGIN(BELLE_2005_I667959);

}