Rivet analyses

Mass and angular distributions in B → D(*)+ππ

Experiment: BELLE (KEKB)

Inspire ID: 623102

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.D 69 (2004) 112002

Beams: * *

Beam energies: ANY

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

Mass and angular distributions in B → D(*)+ππ. The data were read from the figures in the paper and the backgrounds given subtracted.

Source code:BELLE_2004_I623102.cc

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

namespace Rivet {


  /// @brief B -> D** pi
  class BELLE_2004_I623102 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2004_I623102);


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

    /// Book histograms and initialise projections before the run
    void init() {
      // projections
      UnstableParticles ufs = UnstableParticles(Cuts::abspid == 521);
      declare(ufs, "UFS");
      DecayedParticles BP(ufs);
      BP.addStable(411);
      BP.addStable(-411);
      BP.addStable(413);
      BP.addStable(-413);
      declare(BP, "BP");
      // histograms
      book(_h_mass[0], 1, 1, 1);
      book(_h_mass[1], 4, 1, 1);
      book(_b_mass, {-1., -0.67, -0.33, 0, 0.33, 0.67, 1.});
      for (unsigned int ix = 0; ix < 6; ++ix) {
        book(_b_mass->bin(ix + 1), 2, 1, 1 + ix);
      }
      for (unsigned int iy = 0; iy < 4; ++iy) {
        if (iy == 0)
          book(_b_angle[0], {0., 5., 5.9, 6.2, 400});
        else
          book(_b_angle[iy], {0., 5.76, 5.98, 6.15, 400});
        for (unsigned int ix = 0; ix < 4; ++ix) {
          if (iy == 0)
            book(_b_angle[0]->bin(ix + 1), 3, 1, 1 + ix);
          else
            book(_b_angle[iy]->bin(ix + 1), 5, iy, 1 + ix);
        }
      }
    }


    /// Perform the per-event analysis
    void analyze(const Event& event) {
      DecayedParticles BP = apply<DecayedParticles>(event, "BP");
      for (unsigned int ix = 0; ix < BP.decaying().size(); ++ix) {
        int sign = BP.decaying()[ix].pid() / BP.decaying()[ix].abspid();
        int imode = 0;
        if (sign > 0 && BP.modeMatches(ix, 3, mode1))
          imode = 0;
        else if (sign < 0 && BP.modeMatches(ix, 3, mode1CC))
          imode = 0;
        else if (sign > 0 && BP.modeMatches(ix, 3, mode2))
          imode = 1;
        else if (sign < 0 && BP.modeMatches(ix, 3, mode2CC))
          imode = 1;
        else
          continue;
        const Particles& pip = BP.decayProducts()[ix].at(sign * 211);
        const Particle& Dm = BP.decayProducts()[ix].at(-sign * (411 + imode * 2))[0];
        // find the mnimum Dpi mass
        double mDpi[2] = {(Dm.mom() + pip[0].mom()).mass(), (Dm.mom() + pip[1].mom()).mass()};
        unsigned int iloc = 0;
        if (mDpi[0] > mDpi[1]) {
          iloc = 1;
          swap(mDpi[0], mDpi[1]);
        }
        _h_mass[imode]->fill(mDpi[0]);
        // compute the helicity angles
        LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(
            BP.decaying()[ix].mom().betaVec());
        // D pi mass and angle
        FourMomentum pDpi = Dm.mom() + pip[iloc].mom();
        pDpi = boost1.transform(pDpi);
        LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pDpi.betaVec());
        FourMomentum pPi = boost1.transform(pip[iloc].mom());
        FourMomentum pPi3 = boost2.transform(pPi);
        double cDpi = -pPi3.p3().unit().dot(pDpi.p3().unit());
        // fill histos
        if (imode == 0) {
          _b_mass->fill(cDpi, mDpi[0]);
          _b_angle[0]->fill(sqr(mDpi[0]), cDpi);
        }
        else {
          _b_angle[1]->fill(sqr(mDpi[0]), cDpi);
          // find the pion from the D* decay
          Particle pi2;
          if (Dm.children().size() != 2) continue;
          if ((Dm.children()[0].pid() == -sign * 411 || Dm.children()[0].pid() == -sign * 411)
              && (Dm.children()[1].pid() == -sign * 211 || Dm.children()[1].pid() == 111)) {
            pi2 = Dm.children()[1];
          }
          else if ((Dm.children()[1].pid() == -sign * 411 || Dm.children()[1].pid() == -sign * 411)
                   && (Dm.children()[0].pid() == -sign * 211 || Dm.children()[0].pid() == 111)) {
            pi2 = Dm.children()[0];
          }
          else {
            continue;
          }
          FourMomentum pPi2 = boost1.transform(pi2.mom());
          FourMomentum pDm = boost1.transform(Dm.mom());
          Vector3 axis = pDm.p3().unit();
          Vector3 trans1 = pPi.p3() - pPi.p3().dot(axis) * axis;
          Vector3 trans2 = pPi2.p3() - pPi2.p3().dot(axis) * axis;
          const double chi = atan2(trans1.cross(trans2).dot(axis), trans1.dot(trans2));
          _b_angle[3]->fill(sqr(mDpi[0]), chi);
          pDm = boost2.transform(pDm);
          pPi2 = boost2.transform(pPi2);
          LorentzTransform boost3 = LorentzTransform::mkFrameTransformFromBeta(pDm.betaVec());
          pPi2 = boost3.transform(pPi2);
          const double cTheta = pPi2.p3().unit().dot(pPi3.p3().unit());
          _b_angle[2]->fill(sqr(mDpi[0]), cTheta);
        }
      }
    }


    /// Normalise histograms etc., after the run
    void finalize() {
      normalize(_h_mass, 1.0, false);
      normalize(_b_mass, 1.0, false);
      normalize(_b_angle, 1.0, false);
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h_mass[2];
    Histo1DGroupPtr _b_mass, _b_angle[4];
    const map<PdgId, unsigned int> mode1 = {{211, 2}, {-411, 1}};
    const map<PdgId, unsigned int> mode1CC = {{-211, 2}, {411, 1}};
    const map<PdgId, unsigned int> mode2 = {{211, 2}, {-413, 1}};
    const map<PdgId, unsigned int> mode2CC = {{-211, 2}, {413, 1}};
    /// @}
  };


  RIVET_DECLARE_PLUGIN(BELLE_2004_I623102);

}