Rivet analyses
Mass and angular distributions in B− → D(*)+π−π−
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(*)+π−π−. 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);
}