Rivet analyses
Differential Branching Fractions of Inclusive B → Xuℓ+νℓ decays
Experiment: BELLE (KEKB)
Inspire ID: 1895149
Status: VALIDATED SINGLEWEIGHT
Authors: - Peter Richardson
References: - Phys.Rev.Lett. 127 (2021) 26, 261801
Beams: * *
Beam energies: ANY
Run details: - Bottom mesons produced at the Upsilon(4S)
Measurement of the EℓB, q2, MX, MX2, P+ and P− distributions in B → Xuℓ+νℓ decays by BELLLE.
Source
code:BELLE_2021_I1895149.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/UnstableParticles.hh"
namespace Rivet {
/// @brief B -> X_u l nu
class BELLE_2021_I1895149 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(BELLE_2021_I1895149);
/// @name Analysis methods
/// @{
/// Book histograms and initialise projections before the run
void init() {
// projections
declare(UnstableParticles(), "UFS");
// histograms
for (unsigned int ix = 0; ix < 6; ++ix) {
book(_h_direct[ix], 1 + ix, 1, 1);
book(_h_forward[ix], "TMP/h_" + toString(ix + 1), refData(7 + ix, 1, 1));
}
book(_nB, "/TMP/nB");
}
void findDecayProducts(Particle parent,
Particles& em,
Particles& ep,
Particles& nue,
Particles& nueBar,
bool& charm) {
for (const Particle& p : parent.children()) {
if (PID::isCharmHadron(p.pid())) {
charm = true;
}
else if (p.pid() == PID::EMINUS) {
em.push_back(p);
}
else if (p.pid() == PID::EPLUS) {
ep.push_back(p);
}
else if (p.pid() == PID::NU_E || p.pid() == PID::NU_MU) {
nue.push_back(p);
}
else if (p.pid() == PID::NU_EBAR || p.pid() == PID::NU_MUBAR) {
nueBar.push_back(p);
}
else if (PID::isBottomHadron(p.pid())) {
findDecayProducts(p, em, ep, nue, nueBar, charm);
}
else if (!PID::isHadron(p.pid())) {
findDecayProducts(p, em, ep, nue, nueBar, charm);
}
}
}
/// Perform the per-event analysis
void analyze(const Event& event) {
// find and loop over Upslion(4S)
const UnstableParticles& ufs = apply<UnstableParticles>(event, "UFS");
for (const Particle& p : ufs.particles(Cuts::pid == 300553)) {
for (const Particle& p2 : p.children()) {
if (p2.abspid() != 511 && p2.abspid() != 521) continue;
_nB->fill();
bool charm = false;
Particles em, ep, nue, nueBar;
findDecayProducts(p2, em, ep, nue, nueBar, charm);
if (charm) continue;
FourMomentum pl, pnu;
if (em.size() == 1 && nueBar.size() == 1) {
pl = em[0].momentum();
pnu = nueBar[0].momentum();
}
else if (ep.size() == 1 && nue.size() == 1) {
pl = ep[0].momentum();
pnu = nue[0].momentum();
}
else
continue;
LorentzTransform boost = LorentzTransform::mkFrameTransformFromBeta(p2.momentum().betaVec());
pl = boost.transform(pl);
pnu = boost.transform(pnu);
FourMomentum pB = boost.transform(p2.momentum());
FourMomentum q = pl + pnu;
FourMomentum pX = pB - q;
double p3 = pX.p();
_h_forward[0]->fill(pl.E());
_h_forward[1]->fill(q.mass2());
_h_forward[2]->fill(pX.mass());
_h_forward[3]->fill(pX.mass2());
_h_forward[4]->fill(pX.E() - p3);
_h_forward[5]->fill(pX.E() + p3);
if (pl.E() > 1) {
_h_direct[0]->fill(pl.E());
_h_direct[1]->fill(q.mass2());
_h_direct[2]->fill(pX.mass());
_h_direct[3]->fill(pX.mass2());
_h_direct[4]->fill(pX.E() - p3);
_h_direct[5]->fill(pX.E() + p3);
}
}
}
}
/// Normalise histograms etc., after the run
void finalize() {
for (unsigned int ix = 0; ix < 6; ++ix) {
// unfolded dist, scale by 1/2 /no of B's (2 as using e and mu modes)
scale(_h_direct[ix], 0.5 / *_nB);
// forward folding scale to BELLE no of B's
scale(_h_forward[ix], 2. * 771.58e6 / *_nB);
// get the efficiency product and divide by it
unsigned int iloc = ix < 2 ? 3 + ix : (ix < 4 ? ix - 1 : ix + 1);
Estimate1D eff = refData<YODA::Estimate1D>(iloc + 24, 1, 1);
Estimate2D matrix = refData<YODA::Estimate2D>(19 + ix, 1, 1);
// scatter for the result
Estimate1DPtr corrected;
book(corrected, ix + 7, 1, 1);
vector<double> val(_h_forward[ix]->numBins(), 0.), err(_h_forward[ix]->numBins(), 0.);
// first divide by eff
for (unsigned int iy = 0; iy < _h_forward[ix]->numBins(); ++iy) {
val[iy] = _h_forward[ix]->bin(iy + 1).sumW() / eff.bin(iy + 1).val();
double relE = eff.bin(iy + 1).totalErrAvg() / eff.bin(iy + 1).val();
err[iy] = val[iy] * sqrt(sqr(relE) + sqr(_h_forward[ix]->bin(iy + 1).relErrW()));
}
vector<double> val2(_h_forward[ix]->numBins(), 0.), err2(_h_forward[ix]->numBins(), 0.);
for (unsigned int iy = 0; iy < _h_forward[ix]->numBins(); ++iy) {
for (unsigned int iz = 0; iz < _h_forward[ix]->numBins(); ++iz) {
double corr = matrix.bin((_h_forward[ix]->numBins() + 2) * (iz + 1) + iy + 1).val() / 100.;
double ecorr = matrix.bin((_h_forward[ix]->numBins() + 2) * (iz + 1) + iy + 1).totalErrAvg()
/ 100.;
val2[iy] += corr * val[iz];
err2[iy] += sqr(ecorr * val[iz]) + sqr(corr * err[iz]);
}
err2[iy] = val2[iy] * sqrt(err2[iy] / sqr(val2[iy]) + sqr(9.78 / 771.58));
}
for (unsigned int ibin = 0; ibin < _h_forward[ix]->numBins(); ++ibin) {
const double dy = sqrt(err[ibin]);
corrected->bin(ibin + 1).set(val[ibin], dy);
}
}
}
/// @}
/// @name Histograms
/// @{
Histo1DPtr _h_direct[6];
Histo1DPtr _h_forward[6];
CounterPtr _nB;
/// @}
};
RIVET_DECLARE_PLUGIN(BELLE_2021_I1895149);
}