Rivet analyses


title: BELLE_2009_I817326

Differential branching ratio, polarization and asymmetries in $B\to K^{(*)}\ell^+\ell^-$

Experiment: BELLE (KEKB)

Inspire ID: 817326

Status: VALIDATED NOHEPDATA

Authors: - Peter Richardson

References: - Phys.Rev.Lett. 103 (2009) 171801

Beams: * *

Beam energies: ANY

Run details: - Any process production B0 and B+ mesons, oeiginally Upsilon(4S) decay

Measurement of the differential branching ratio, polarization and asymmetries in $B\to K^{(*)}\ell^+\ell^-$ as a function of $q^2$.

Source code:BELLE_2009_I817326.cc

```c++ // -- C++ --

include "Rivet/Analysis.hh"

include "Rivet/Projections/DecayedParticles.hh"

include "Rivet/Projections/UnstableParticles.hh"

namespace Rivet {

/// @brief B -> K(*) l+ l- class BELLE_2009_I817326 : public Analysis { public:

/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2009_I817326);


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

/// Book histograms and initialise projections before the run
void init() {
  // Initialise and register projections
  UnstableParticles ufs = UnstableParticles(Cuts::abspid == 511 or Cuts::abspid == 521);
  declare(ufs, "UFS");
  DecayedParticles BB(ufs);
  BB.addStable(443);
  BB.addStable(100443);
  BB.addStable(PID::K0S);
  BB.addStable(PID::K0L);
  BB.addStable(313);
  BB.addStable(-313);
  BB.addStable(323);
  BB.addStable(-323);
  declare(BB, "BB");
  for (unsigned int ix = 0; ix < 2; ++ix) {
    book(_p_FL[ix], 1, 1 + ix, 2);
    for (unsigned int iy = 0; iy < 2; ++iy) {
      book(_h_br[ix][iy], 1 + ix, 1 + iy, 1);
      book(_p_FB[ix][iy], 1 + ix, 1 + iy, 4);
      for (unsigned int iz = 0; iz < 2; ++iz)
        book(_h_br_B[ix][iy][iz],
             "TMP/h_br_" + toString(ix + 1) + "_" + toString(iy + 1) + "_" + toString(iz + 1),
             refData(1 + ix, 1 + iy, 1));
    }
  };
  for (unsigned int ix = 0; ix < 3; ++ix) book(_c[ix], "TMP/c_" + toString(ix + 1));
}


/// Perform the per-event analysis
void analyze(const Event& event) {
  static const map<PdgId, unsigned int>& mode1 = {{321, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode1CC = {{-321, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode2 = {{310, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode2CC = {{130, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode3 = {{321, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode3CC = {{-321, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode4 = {{310, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode4CC = {{130, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode5 = {{323, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode5CC = {{-323, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode6 = {{313, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode6CC = {{-313, 1}, {13, 1}, {-13, 1}};
  static const map<PdgId, unsigned int>& mode7 = {{323, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode7CC = {{-323, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode8 = {{313, 1}, {11, 1}, {-11, 1}};
  static const map<PdgId, unsigned int>& mode8CC = {{-313, 1}, {11, 1}, {-11, 1}};
  DecayedParticles BB = apply<DecayedParticles>(event, "BB");
  for (unsigned int ix = 0; ix < BB.decaying().size(); ++ix) {
    _c[0]->fill();
    if (BB.decaying()[ix].abspid() == 521)
      _c[1]->fill();
    else
      _c[2]->fill();
    int imode = 0;
    if ((BB.decaying()[ix].pid() > 0 && BB.modeMatches(ix, 3, mode1))
        || (BB.decaying()[ix].pid() < 0 && BB.modeMatches(ix, 3, mode1CC)))
      imode = 0;
    else if (BB.modeMatches(ix, 3, mode2) || BB.modeMatches(ix, 3, mode2CC))
      imode = 1;
    else if ((BB.decaying()[ix].pid() > 0 && BB.modeMatches(ix, 3, mode3))
             || (BB.decaying()[ix].pid() < 0 && BB.modeMatches(ix, 3, mode3CC)))
      imode = 2;
    else if (BB.modeMatches(ix, 3, mode4) || BB.modeMatches(ix, 3, mode4CC))
      imode = 3;
    else if ((BB.decaying()[ix].pid() > 0 && BB.modeMatches(ix, 3, mode5))
             || (BB.decaying()[ix].pid() < 0 && BB.modeMatches(ix, 3, mode5CC)))
      imode = 4;
    else if ((BB.decaying()[ix].pid() > 0 && BB.modeMatches(ix, 3, mode6))
             || (BB.decaying()[ix].pid() < 0 && BB.modeMatches(ix, 3, mode6CC)))
      imode = 5;
    else if ((BB.decaying()[ix].pid() > 0 && BB.modeMatches(ix, 3, mode7))
             || (BB.decaying()[ix].pid() < 0 && BB.modeMatches(ix, 3, mode7CC)))
      imode = 6;
    else if ((BB.decaying()[ix].pid() > 0 && BB.modeMatches(ix, 3, mode8))
             || (BB.decaying()[ix].pid() < 0 && BB.modeMatches(ix, 3, mode8CC)))
      imode = 7;
    else
      continue;
    int il = imode < 2 || imode == 4 || imode == 5 ? 13 : 11;
    const Particle& lp = BB.decayProducts()[ix].at(-il)[0];
    const Particle& lm = BB.decayProducts()[ix].at(il)[0];
    double qq = (lp.momentum() + lm.momentum()).mass2();
    for (unsigned int iy = 0; iy < 2; ++iy) {
      if (imode < 4) {
        _h_br[1][iy]->fill(qq);
        if (BB.decaying()[ix].abspid() == 521)
          _h_br_B[1][iy][0]->fill(qq);
        else
          _h_br_B[1][iy][1]->fill(qq);
      }
      else {
        _h_br[0][iy]->fill(qq);
        if (BB.decaying()[ix].abspid() == 521)
          _h_br_B[0][iy][0]->fill(qq);
        else
          _h_br_B[0][iy][1]->fill(qq);
      }
    }
    // first boost to bottom frame
    const LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(
        BB.decaying()[ix].momentum().betaVec());
    FourMomentum plp = boost.transform(lp.momentum());
    FourMomentum plm = boost.transform(lm.momentum());
    FourMomentum pB = boost.transform(BB.decaying()[ix].momentum());
    // lepton stuff
    const LorentzTransform boost2 = LorentzTransform::mkFrameTransformFromBeta((plp + plm).betaVec());
    plp = boost2.transform(plp);
    double cTheta = plp.p3().unit().dot(boost.transform(pB).p3().unit());
    double AFB = cTheta > 0 ? 1 : -1;
    for (unsigned int iy = 0; iy < 2; ++iy) {
      if (imode < 4)
        _p_FB[1][iy]->fill(qq, AFB);
      else
        _p_FB[0][iy]->fill(qq, AFB);
    }
    // only K* for FL
    if (imode < 4) continue;
    int iK = BB.decaying()[ix].abspid() == 521 ? 323 : 313;
    iK *= BB.decaying()[ix].pid() / BB.decaying()[ix].abspid();
    const Particle& Kstar = BB.decayProducts()[ix].at(iK)[0];
    FourMomentum pKstar = boost.transform(Kstar.momentum());
    if (Kstar.children().size() != 2) continue;
    Particle KK;
    if (Kstar.abspid() == 313) {
      if (Kstar.children()[0].abspid() == 321 && Kstar.children()[1].abspid() == 211)
        KK = Kstar.children()[0];
      else if (Kstar.children()[1].abspid() == 321 && Kstar.children()[0].abspid() == 211)
        KK = Kstar.children()[1];
      else
        continue;
    }
    else {
      if (Kstar.children()[0].abspid() == 311 && Kstar.children()[1].abspid() == 211)
        KK = Kstar.children()[0];
      else if (Kstar.children()[1].abspid() == 311 && Kstar.children()[0].abspid() == 211)
        KK = Kstar.children()[1];
      else if (Kstar.children()[0].abspid() == 310 && Kstar.children()[1].abspid() == 211)
        KK = Kstar.children()[0];
      else if (Kstar.children()[1].abspid() == 310 && Kstar.children()[0].abspid() == 211)
        KK = Kstar.children()[1];
      else if (Kstar.children()[0].abspid() == 321 && Kstar.children()[1].abspid() == 111 && il == 11)
        KK = Kstar.children()[0];
      else if (Kstar.children()[1].abspid() == 321 && Kstar.children()[0].abspid() == 111 && il == 11)
        KK = Kstar.children()[1];
      else
        continue;
      if (KK.abspid() == 311) {
        if (KK.children().size() == 1 && KK.children()[0].pid() == 310)
          KK = KK.children()[0];
        else
          continue;
      }
    }
    FourMomentum pK = boost.transform(KK.momentum());
    const LorentzTransform boost3 = LorentzTransform::mkFrameTransformFromBeta(pKstar.betaVec());
    pK = boost3.transform(pK);
    cTheta = pK.p3().unit().dot(boost.transform(pB).p3().unit());
    double FL = .5 * (5. * sqr(cTheta) - 1.);
    for (unsigned int iy = 0; iy < 2; ++iy) _p_FL[iy]->fill(qq, FL);
  }
}


/// Normalise histograms etc., after the run
void finalize() {
  // ratio of lifetimes
  double rLife = 1. / 1.078;
  for (unsigned int ix = 0; ix < 2; ++ix) {
    for (unsigned int iy = 0; iy < 2; ++iy) {
      scale(_h_br[ix][iy], 0.5e7 / *_c[0]);
      for (unsigned int il = 0; il < 2; ++il) {
        scale(_h_br_B[ix][iy][il], 0.5e7 / *_c[il + 1]);
        if (il == 0) scale(_h_br_B[ix][iy][il], rLife);
      }
      // A_I plots
      Estimate1DPtr AI;
      book(AI, 1 + ix, 1 + iy, 3);
      asymm(_h_br_B[ix][iy][1], _h_br_B[ix][iy][0], AI);
    }
  }
}

/// @}


/// @name Histograms
/// @{
Histo1DPtr _h_br[2][2], _h_br_B[2][2][2];
Profile1DPtr _p_FL[2], _p_FB[2][2];
CounterPtr _c[3];
/// @}

};

RIVET_DECLARE_PLUGIN(BELLE_2009_I817326);

} ```