Rivet analyses

Helicity angle and mass distribution for π+π− in B0 → ρ0π0

Experiment: BELLE (KEKB)

Inspire ID: 688850

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.D 73 (2006) 111105

Beams: * *

Beam energies: ANY

Run details: - Any process producing B0 mesons, originally Upsilon(4S) decays

Measurement of the helicity angle and mass distribution for π+π− in B0 → ρ0π0

Source code:BELLE_2006_I688850.cc

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

namespace Rivet {


  /// @brief B0 -> rho0 pi0
  class BELLE_2006_I688850 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2006_I688850);


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

    /// Book histograms and initialise projections before the run
    void init() {
      // projections
      UnstableParticles ufs = UnstableParticles(Cuts::abspid == 511);
      declare(ufs, "UFS");
      DecayedParticles B0(ufs);
      B0.addStable(111);
      declare(B0, "B0");
      // histos
      for (unsigned int ix = 0; ix < 2; ++ix) {
        book(_h[ix], 1, 1, 1 + ix);
      }
    }


    /// Perform the per-event analysis
    void analyze(const Event& event) {
      DecayedParticles B0 = apply<DecayedParticles>(event, "B0");
      for (unsigned int ix = 0; ix < B0.decaying().size(); ++ix) {
        int sign = B0.decaying()[ix].pid() / B0.decaying()[ix].abspid();
        if (!B0.modeMatches(ix, 3, mode)) continue;
        const Particle& pip = B0.decayProducts()[ix].at(sign * 211)[0];
        const Particle& pim = B0.decayProducts()[ix].at(-sign * 211)[0];
        const Particle& pi0 = B0.decayProducts()[ix].at(111)[0];
        // require pi+- pi0 mass >1.1 GeV
        if ((pip.mom() + pi0.mom()).mass() < 1.1) continue;
        if ((pim.mom() + pi0.mom()).mass() < 1.1) continue;
        FourMomentum pRho = pip.mom() + pim.mom();
        _h[0]->fill(pRho.mass());
        // compute the helicity angle
        LorentzTransform boost1 = LorentzTransform::mkFrameTransformFromBeta(
            B0.decaying()[ix].mom().betaVec());
        pRho = boost1.transform(pRho);
        FourMomentum ppi = boost1.transform(pip.mom());
        LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta(pRho.betaVec());
        ppi = boost2.transform(ppi);
        const double cTheta = ppi.p3().unit().dot(pRho.p3().unit());
        _h[1]->fill(cTheta);
      }
    }


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

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h[2];
    const map<PdgId, unsigned int> mode = {{211, 1}, {-211, 1}, {111, 1}};
    /// @}
  };


  RIVET_DECLARE_PLUGIN(BELLE_2006_I688850);

}