Rivet analyses

Form factors in D0 → (π, K)+ν

Experiment: BELLE (KEKB)

Inspire ID: 715430

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.Lett. 97 (2006) 061804

Beams: * *

Beam energies: ANY

Run details: - Any process producing D0 mesons, originally Upsilon(4S)

Measurement of the form factors in D0 → (π, K)+ν. The corrected data was read from the figure 2 in the paper.

Source code:BELLE_2006_I715430.cc

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

namespace Rivet {


  /// @brief D0 -> pi, K ell nu_ell
  class BELLE_2006_I715430 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2006_I715430);


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

    /// Book histograms and initialise projections before the run
    void init() {
      // Initialise and register projections
      declare(UnstableParticles(Cuts::abspid == PID::D0), "UFS");
      // histos
      for (unsigned int ix = 0; ix < 2; ++ix) {
        book(_h[ix], "TMP/h_" + toString(ix + 1), refData(1 + ix, 1, 1));
      }
      book(_c, "TMP/nD");
    }

    // Calculate the Q2 using mother and daugher meson
    double q2(const Particle& B, int mesonID) const {
      FourMomentum q = B.mom() - select(B.children(), Cuts::abspid == abs(mesonID))[0];
      return q * q;
    }

    // Check for explicit decay into pdgids
    bool isSemileptonicDecay(const Particle& mother, vector<int> ids) const {
      // Trivial check to ignore any other decays but the one in question modulo photons
      const Particles children = mother.children(Cuts::pid != PID::PHOTON);
      if (children.size() != ids.size()) return false;
      // Check for the explicit decay
      return all(ids, [&](int i) { return count(children, hasPID(i)) == 1; });
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      const double M0 = 1.86484, M02 = sqr(M0);
      const double m2[2] = {sqr(0.493677), sqr(0.13957039)};
      // Loop over D mesons
      for (const Particle& p : apply<UnstableParticles>(event, "UFS").particles()) {
        _c->fill();
        if (isSemileptonicDecay(p, {PID::PIMINUS, PID::POSITRON, PID::NU_E})
            || isSemileptonicDecay(p, {PID::PIPLUS, PID::ELECTRON, PID::NU_EBAR})) {
          double qq = q2(p, PID::PIMINUS);
          double pcm = sqrt(
              0.25 / M02
              * (sqr(M02) + sqr(qq) + sqr(m2[1]) - 2. * qq * m2[1] - 2. * M02 * qq - 2. * m2[1] * M02));
          _h[1]->fill(qq, 1. / pow(pcm, 3));
        }
        else if (isSemileptonicDecay(p, {PID::KMINUS, PID::POSITRON, PID::NU_E})
                 || isSemileptonicDecay(p, {PID::KPLUS, PID::ELECTRON, PID::NU_EBAR})) {
          double qq = q2(p, PID::KMINUS);
          double pcm = sqrt(
              0.25 / M02
              * (sqr(M02) + sqr(qq) + sqr(m2[0]) - 2. * qq * m2[0] - 2. * M02 * qq - 2. * m2[0] * M02));
          _h[0]->fill(qq, 1. / pow(pcm, 3));
        }
      }
    }


    /// Normalise histograms etc., after the run
    void finalize() {
      const double GF = 1.1663788e-5;
      const double CKM[2] = {0.975, 0.221};
      const double gamma = 6.582119569e-25 / 4.103e-13;
      const double pre = 24. * pow(M_PI, 3) / sqr(GF) * gamma;
      for (unsigned int ix = 0; ix < 2; ++ix) {
        double fact = pre / sqr(CKM[ix]);
        Estimate1DPtr tmp;
        book(tmp, 1 + ix, 1, 1);
        scale(_h[ix], fact / *_c);
        for (unsigned int iy = 0; iy < _h[ix]->numBins(); ++iy) {
          double val = _h[ix]->bin(iy + 1).sumW() / _h[ix]->bin(iy + 1).xWidth();
          double err = _h[ix]->bin(iy + 1).errW() / _h[ix]->bin(iy + 1).xWidth();
          val = sqrt(val);
          err /= 2. * val;
          tmp->bin(iy + 1).set(val, err);
        }
      }
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h[2];
    CounterPtr _c;
    /// @}
  };


  RIVET_DECLARE_PLUGIN(BELLE_2006_I715430);

}