Rivet analyses
Monte Carlo validation observables for W polarisation
Experiment: ()
Status: VALIDATED
Authors: - Frank Siegert
References: none listed
Beams: * *
Beam energies: ANY
Run details: - W → e ν + jets.
Observables sensitive to the polarisation of the W boson: A0, … A7, fR, fL, f0, separately for W+ and W-.
Source
code:MC_WPOL.cc
// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/LeptonFinder.hh"
#include "Rivet/Projections/MissingMomentum.hh"
#include "Rivet/Projections/Beam.hh"
namespace Rivet {
/// @brief MC validation analysis for W polarisation
class MC_WPOL : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(MC_WPOL);
/// @name Analysis methods
/// @{
/// Book histograms and initialise projections before the run
void init() {
declare(MissingMomentum(), "MET");
LeptonFinder lf(0.1, Cuts::abspid == PID::ELECTRON);
declare(lf, "Leptons");
Beam beams;
declare(beams, "Beams");
vector<string> tags{"_wplus", "_wminus"};
_h_dists.resize(tags.size());
_h_histos.resize(tags.size());
for (size_t i=0; i<tags.size(); ++i) {
_h_dists[i].resize(11,Profile1DPtr());
double sqrts = sqrtS()>0. ? sqrtS() : 14000.;
book(_h_dists[i][0] ,"A0"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][1] ,"A1"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][2] ,"A2"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][3] ,"A3"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][4] ,"A4"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][5] ,"A5"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][6] ,"A6"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][7] ,"A7"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][8] ,"fL"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][9] ,"fR"+tags[i],logspace(100, 1.0, 0.5*sqrts));
book(_h_dists[i][10] ,"f0"+tags[i],logspace(100, 1.0, 0.5*sqrts));
_h_histos[i].resize(4,Histo1DPtr());
book(_h_histos[i][0] ,"thetastar"+tags[i],100,-1.0,1.0);
book(_h_histos[i][1] ,"phistar"+tags[i],90,0.0,360.0);
book(_h_histos[i][2] ,"thetastar_ptw20"+tags[i],100,-1.0,1.0);
book(_h_histos[i][3] ,"phistar_ptw20"+tags[i],90,0.0,360.0);
}
}
/// Perform the per-event analysis
void analyze(const Event& event) {
// MET cut
const P4& pmiss = apply<MissingMom>(event, "MET").missingMom();
if (pmiss.pT() < 25*GeV) vetoEvent;
// Identify the closest-matching l+MET to m == mW
const Particles& ls = apply<LeptonFinder>(event, "Leptons").particles();
const int ifound = closestMassIndex(ls, pmiss, 80.4*GeV, 60*GeV, 100*GeV);
if (ifound < 0) vetoEvent;
const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
FourMomentum pb1(beams.second.momentum()), pb2(beams.first.momentum());
const Particle& lepton = ls[ifound];
FourMomentum pl(lepton.momentum());
const size_t idx = lepton.charge3() > 0 ? 0 : 1;
const FourMomentum plnu = lepton.mom() + pmiss;
const LorentzTransform cms = LorentzTransform::mkFrameTransformFromBeta(plnu.betaVec());
Matrix3 zrot(plnu.p3(), Vector3(0.0, 0.0, 1.0));
pl = cms.transform(pl);
pb1 = cms.transform(pb1);
pb2 = cms.transform(pb2);
Vector3 pl3 = pl.p3();
Vector3 pb13 = pb1.p3();
Vector3 pb23 = pb2.p3();
pl3 = zrot*pl3;
pb13 = zrot*pb13;
pb23 = zrot*pb23;
Vector3 xref(cos(pb13.theta())>cos(pb23.theta()) ? pb13 : pb23);
Matrix3 xrot(Vector3(xref.x(), xref.y(), 0.0), Vector3(1.0, 0.0, 0.0));
pl3 = xrot*pl3;
double ptw(plnu.pT()/GeV);
double thetas(pl3.theta()), phis(pl3.phi());
double costhetas(cos(thetas)), sinthetas(sin(thetas));
double cosphis(cos(phis)), sinphis(sin(phis));
if (phis < 0.0) phis += 2.0*M_PI;
_h_histos[idx][0]->fill(costhetas);
_h_histos[idx][1]->fill(phis*180.0/M_PI);
if (ptw > 20.0) {
_h_histos[idx][2]->fill(costhetas);
_h_histos[idx][3]->fill(phis*180.0/M_PI);
}
_h_dists[idx][0]->fill(ptw,10.0/3.0*(1.0-3.0*sqr(costhetas))+2.0/3.0);
_h_dists[idx][1]->fill(ptw,10.0*sinthetas*costhetas*cosphis);
_h_dists[idx][2]->fill(ptw,10.0*sqr(sinthetas)*(sqr(cosphis)-sqr(sinphis)));
_h_dists[idx][3]->fill(ptw,4.0*sinthetas*cosphis);
_h_dists[idx][4]->fill(ptw,4.0*costhetas);
_h_dists[idx][5]->fill(ptw,4.0*sinthetas*sinphis);
_h_dists[idx][6]->fill(ptw,10.0*costhetas*sinthetas*sinphis);
_h_dists[idx][7]->fill(ptw,10.0*sqr(sinthetas)*cosphis*sinphis);
_h_dists[idx][8]->fill(ptw,0.5*sqr(1.0-costhetas)-(1.0-2.0*sqr(costhetas)));
_h_dists[idx][9]->fill(ptw,0.5*sqr(1.0+costhetas)-(1.0-2.0*sqr(costhetas)));
_h_dists[idx][10]->fill(ptw,5.0*sqr(sinthetas)-3.0);
}
/// Normalise histograms etc., after the run
void finalize() {
for (size_t i = 0; i < _h_histos.size(); ++i) {
for (Histo1DPtr histo : _h_histos[i]) {
scale(histo, crossSection()/picobarn/sumOfWeights());
}
}
}
/// @}
private:
/// @name Histograms
/// @{
vector<vector<Profile1DPtr> > _h_dists;
vector<vector<Histo1DPtr> > _h_histos;
/// @}
};
RIVET_DECLARE_PLUGIN(MC_WPOL);
}