| 1 | /** \class TrackSmearing
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| 2 | *
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| 3 | * Performs d0, dZ, p, Theta, Phi smearing of tracks.
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| 4 | *
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| 5 | * \authors A. Hart, M. Selvaggi
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| 6 | *
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| 7 | */
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| 8 |
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| 9 | #include "modules/TrackSmearing.h"
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| 10 |
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| 11 | #include "classes/DelphesClasses.h"
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| 12 | #include "classes/DelphesFactory.h"
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| 13 | #include "classes/DelphesFormula.h"
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| 14 |
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| 15 | #include "ExRootAnalysis/ExRootResult.h"
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| 16 | #include "ExRootAnalysis/ExRootFilter.h"
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| 17 | #include "ExRootAnalysis/ExRootClassifier.h"
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| 18 |
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| 19 | #include "TMath.h"
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| 20 | #include "TString.h"
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| 21 | #include "TFormula.h"
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| 22 | #include "TRandom3.h"
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| 23 | #include "TObjArray.h"
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| 24 | #include "TDatabasePDG.h"
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| 25 | #include "TLorentzVector.h"
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| 26 | #include "TFile.h"
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| 27 | #include "TProfile2D.h"
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| 28 |
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| 29 | #include <algorithm>
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| 30 | #include <stdexcept>
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| 31 | #include <iostream>
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| 32 | #include <sstream>
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| 33 |
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| 34 | using namespace std;
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| 35 |
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| 36 | //------------------------------------------------------------------------------
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| 37 |
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| 38 | TrackSmearing::TrackSmearing() :
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| 39 | fD0Formula(0), fDZFormula(0), fPFormula(0), fCtgThetaFormula(0), fPhiFormula(0), fItInputArray(0)
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| 40 | {
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| 41 | fD0Formula = new DelphesFormula;
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| 42 | fDZFormula = new DelphesFormula;
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| 43 | fPFormula = new DelphesFormula;
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| 44 | fCtgThetaFormula = new DelphesFormula;
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| 45 | fPhiFormula = new DelphesFormula;
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| 46 | }
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| 47 |
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| 48 | //------------------------------------------------------------------------------
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| 49 |
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| 50 | TrackSmearing::~TrackSmearing()
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| 51 | {
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| 52 | if(fD0Formula) delete fD0Formula;
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| 53 | if(fDZFormula) delete fDZFormula;
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| 54 | if(fPFormula) delete fPFormula;
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| 55 | if(fCtgThetaFormula) delete fCtgThetaFormula;
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| 56 | if(fPhiFormula) delete fPhiFormula;
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| 57 | }
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| 58 |
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| 59 | //------------------------------------------------------------------------------
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| 60 |
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| 61 | void TrackSmearing::Init()
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| 62 | {
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| 63 | fBz = GetDouble("Bz", 0.0);
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| 64 |
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| 65 | // read resolution formula
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| 66 |
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| 67 | // !!! IF WE WANT TO KEEP ROOT INPUT !!!
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| 68 | if (string (GetString("D0ResolutionFormula", "0.0")) != "0.0")
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| 69 | {
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| 70 | fD0Formula->Compile(GetString("D0ResolutionFormula", "0.0"));
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| 71 | fUseD0Formula = true;
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| 72 | }
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| 73 | else
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| 74 | {
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| 75 | fD0ResolutionFile = GetString("D0ResolutionFile", "errors.root");
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| 76 | fD0ResolutionHist = GetString("D0ResolutionHist", "d0");
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| 77 | fUseD0Formula = false;
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| 78 | }
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| 79 | if (string (GetString("DZResolutionFormula", "0.0")) != "0.0")
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| 80 | {
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| 81 | fDZFormula->Compile(GetString("DZResolutionFormula", "0.0"));
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| 82 | fUseDZFormula = true;
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| 83 | }
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| 84 | else
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| 85 | {
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| 86 | fDZResolutionFile = GetString("DZResolutionFile", "errors.root");
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| 87 | fDZResolutionHist = GetString("DZResolutionHist", "dz");
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| 88 | fUseDZFormula = false;
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| 89 | }
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| 90 | if (string (GetString("PResolutionFormula", "0.0")) != "0.0")
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| 91 | {
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| 92 | fPFormula->Compile(GetString("PResolutionFormula", "0.0"));
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| 93 | fUsePFormula = true;
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| 94 | }
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| 95 | else
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| 96 | {
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| 97 | fPResolutionFile = GetString("PResolutionFile", "errors.root");
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| 98 | fPResolutionHist = GetString("PResolutionHist", "p");
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| 99 | fUsePFormula = false;
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| 100 | }
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| 101 | if (string (GetString("CtgThetaResolutionFormula", "0.0")) != "0.0")
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| 102 | {
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| 103 | fCtgThetaFormula->Compile(GetString("CtgThetaResolutionFormula", "0.0"));
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| 104 | fUseCtgThetaFormula = true;
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| 105 | }
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| 106 | else
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| 107 | {
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| 108 | fCtgThetaResolutionFile = GetString("CtgThetaResolutionFile", "errors.root");
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| 109 | fCtgThetaResolutionHist = GetString("CtgThetaResolutionHist", "ctgTheta");
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| 110 | fUseCtgThetaFormula = false;
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| 111 | }
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| 112 | if (string (GetString("PhiResolutionFormula", "0.0")) != "0.0")
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| 113 | {
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| 114 | fPhiFormula->Compile(GetString("PhiResolutionFormula", "0.0"));
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| 115 | fUsePhiFormula = true;
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| 116 | }
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| 117 | else
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| 118 | {
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| 119 | fPhiResolutionFile = GetString("PhiResolutionFile", "errors.root");
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| 120 | fPhiResolutionHist = GetString("PhiResolutionHist", "phi");
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| 121 | fUsePhiFormula = false;
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| 122 | }
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| 123 |
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| 124 | fApplyToPileUp = GetBool("ApplyToPileUp", true);
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| 125 |
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| 126 | // import input array
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| 127 |
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| 128 | fInputArray = ImportArray(GetString("InputArray", "ParticlePropagator/stableParticles"));
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| 129 | fItInputArray = fInputArray->MakeIterator();
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| 130 |
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| 131 | // import beamspot
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| 132 | try
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| 133 | {
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| 134 | fBeamSpotInputArray = ImportArray(GetString("BeamSpotInputArray", "BeamSpotFilter/beamSpotParticle"));
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| 135 | }
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| 136 | catch(runtime_error &e)
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| 137 | {
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| 138 | fBeamSpotInputArray = 0;
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| 139 | }
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| 140 |
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| 141 | // create output array
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| 142 |
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| 143 | fOutputArray = ExportArray(GetString("OutputArray", "stableParticles"));
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| 144 | }
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| 145 |
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| 146 | //------------------------------------------------------------------------------
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| 147 |
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| 148 | void TrackSmearing::Finish()
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| 149 | {
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| 150 | if(fItInputArray) delete fItInputArray;
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| 151 | }
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| 152 |
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| 153 | //------------------------------------------------------------------------------
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| 154 |
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| 155 | void TrackSmearing::Process()
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| 156 | {
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| 157 | Int_t iCandidate = 0;
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| 158 | TLorentzVector beamSpotPosition;
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| 159 | Candidate *candidate, *mother;
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| 160 | Double_t pt, eta, d0, d0Error, trueD0, dz, dzError, trueDZ, p, pError, trueP, ctgTheta, ctgThetaError, trueCtgTheta, phi, phiError, truePhi;
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| 161 | Double_t x, y, z, t, px, py, pz, theta;
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| 162 | Double_t q, r;
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| 163 | Double_t x_c, y_c, r_c, phi_0;
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| 164 | Double_t rcu, rc2, xd, yd, zd;
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| 165 | const Double_t c_light = 2.99792458E8;
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| 166 | TProfile2D *d0ErrorHist = NULL,
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| 167 | *dzErrorHist = NULL,
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| 168 | *pErrorHist = NULL,
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| 169 | *ctgThetaErrorHist = NULL,
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| 170 | *phiErrorHist = NULL;
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| 171 |
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| 172 | if (!fBeamSpotInputArray || fBeamSpotInputArray->GetSize () == 0)
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| 173 | beamSpotPosition.SetXYZT(0.0, 0.0, 0.0, 0.0);
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| 174 | else
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| 175 | {
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| 176 | Candidate &beamSpotCandidate = *((Candidate *) fBeamSpotInputArray->At (0));
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| 177 | beamSpotPosition = beamSpotCandidate.Position;
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| 178 | }
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| 179 |
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| 180 | if (!fUseD0Formula)
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| 181 | {
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| 182 | TFile *fin = TFile::Open (fD0ResolutionFile.c_str ());
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| 183 | d0ErrorHist = (TProfile2D *) fin->Get (fD0ResolutionHist.c_str ());
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| 184 | d0ErrorHist->SetDirectory (0);
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| 185 | fin->Close ();
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| 186 | }
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| 187 | if (!fUseDZFormula)
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| 188 | {
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| 189 | TFile *fin = TFile::Open (fDZResolutionFile.c_str ());
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| 190 | dzErrorHist = (TProfile2D *) fin->Get (fDZResolutionHist.c_str ());
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| 191 | dzErrorHist->SetDirectory (0);
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| 192 | fin->Close ();
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| 193 | }
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| 194 | if (!fUsePFormula)
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| 195 | {
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| 196 | TFile *fin = TFile::Open (fPResolutionFile.c_str ());
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| 197 | pErrorHist = (TProfile2D *) fin->Get (fPResolutionHist.c_str ());
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| 198 | pErrorHist->SetDirectory (0);
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| 199 | fin->Close ();
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| 200 | }
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| 201 | if (!fUseCtgThetaFormula)
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| 202 | {
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| 203 | TFile *fin = TFile::Open (fCtgThetaResolutionFile.c_str ());
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| 204 | ctgThetaErrorHist = (TProfile2D *) fin->Get (fCtgThetaResolutionHist.c_str ());
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| 205 | ctgThetaErrorHist->SetDirectory (0);
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| 206 | fin->Close ();
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| 207 | }
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| 208 | if (!fUsePhiFormula)
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| 209 | {
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| 210 | TFile *fin = TFile::Open (fPhiResolutionFile.c_str ());
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| 211 | phiErrorHist = (TProfile2D *) fin->Get (fPhiResolutionHist.c_str ());
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| 212 | phiErrorHist->SetDirectory (0);
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| 213 | fin->Close ();
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| 214 | }
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| 215 |
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| 216 | fItInputArray->Reset();
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| 217 | while((candidate = static_cast<Candidate*>(fItInputArray->Next())))
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| 218 | {
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| 219 |
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| 220 | const TLorentzVector &momentum = candidate->Momentum;
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| 221 | const TLorentzVector &position = candidate->InitialPosition;
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| 222 |
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| 223 | pt = momentum.Pt();
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| 224 | eta = momentum.Eta();
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| 225 |
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| 226 | d0 = trueD0 = candidate->D0;
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| 227 | dz = trueDZ = candidate->DZ;
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| 228 |
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| 229 | p = trueP = candidate->P;
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| 230 | ctgTheta = trueCtgTheta = candidate->CtgTheta;
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| 231 | phi = truePhi = candidate->Phi;
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| 232 |
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| 233 | if (fUseD0Formula)
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| 234 | d0Error = fD0Formula->Eval(pt, eta);
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| 235 | else
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| 236 | {
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| 237 | Int_t xbin, ybin;
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| 238 |
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| 239 | xbin = pt < d0ErrorHist->GetXaxis ()->GetXmax () ? d0ErrorHist->GetXaxis ()->FindBin (pt)
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| 240 | : d0ErrorHist->GetXaxis ()->GetBinCenter (d0ErrorHist->GetXaxis ()->GetNbins ());
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| 241 | ybin = d0ErrorHist->GetYaxis ()->FindBin (TMath::Abs (eta));
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| 242 | d0Error = d0ErrorHist->GetBinContent (xbin, ybin);
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| 243 | if (!d0Error)
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| 244 | d0Error = -1.0;
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| 245 | }
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| 246 | if (d0Error < 0.0)
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| 247 | continue;
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| 248 |
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| 249 | if (fUseDZFormula)
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| 250 | dzError = fDZFormula->Eval(pt, eta);
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| 251 | else
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| 252 | {
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| 253 | Int_t xbin, ybin;
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| 254 |
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| 255 | xbin = pt < dzErrorHist->GetXaxis ()->GetXmax () ? dzErrorHist->GetXaxis ()->FindBin (pt)
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| 256 | : dzErrorHist->GetXaxis ()->GetBinCenter (dzErrorHist->GetXaxis ()->GetNbins ());
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| 257 | ybin = dzErrorHist->GetYaxis ()->FindBin (TMath::Abs (eta));
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| 258 | dzError = dzErrorHist->GetBinContent (xbin, ybin);
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| 259 | if (!dzError)
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| 260 | dzError = -1.0;
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| 261 | }
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| 262 | if (dzError < 0.0)
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| 263 | continue;
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| 264 |
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| 265 | if (fUsePFormula)
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| 266 | pError = fPFormula->Eval(pt, eta) * p;
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| 267 | else
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| 268 | {
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| 269 | Int_t xbin, ybin;
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| 270 |
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| 271 | xbin = pt < pErrorHist->GetXaxis ()->GetXmax () ? pErrorHist->GetXaxis ()->FindBin (pt)
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| 272 | : pErrorHist->GetXaxis ()->GetBinCenter (pErrorHist->GetXaxis ()->GetNbins ());
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| 273 | ybin = pErrorHist->GetYaxis ()->FindBin (TMath::Abs (eta));
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| 274 | pError = pErrorHist->GetBinContent (xbin, ybin) * p;
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| 275 | if (!pError)
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| 276 | pError = -1.0;
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| 277 | }
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| 278 | if (pError < 0.0)
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| 279 | continue;
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| 280 |
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| 281 | if (fUseCtgThetaFormula)
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| 282 | ctgThetaError = fCtgThetaFormula->Eval(pt, eta);
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| 283 | else
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| 284 | {
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| 285 | Int_t xbin, ybin;
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| 286 |
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| 287 | xbin = pt < ctgThetaErrorHist->GetXaxis ()->GetXmax () ? ctgThetaErrorHist->GetXaxis ()->FindBin (pt)
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| 288 | : ctgThetaErrorHist->GetXaxis ()->GetBinCenter (ctgThetaErrorHist->GetXaxis ()->GetNbins ());
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| 289 | ybin = ctgThetaErrorHist->GetYaxis ()->FindBin (TMath::Abs (eta));
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| 290 | ctgThetaError = ctgThetaErrorHist->GetBinContent (xbin, ybin);
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| 291 | if (!ctgThetaError)
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| 292 | ctgThetaError = -1.0;
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| 293 | }
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| 294 | if (ctgThetaError < 0.0)
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| 295 | continue;
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| 296 |
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| 297 | if (fUsePhiFormula)
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| 298 | phiError = fPhiFormula->Eval(pt, eta);
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| 299 | else
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| 300 | {
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| 301 | Int_t xbin, ybin;
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| 302 |
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| 303 | xbin = pt < phiErrorHist->GetXaxis ()->GetXmax () ? phiErrorHist->GetXaxis ()->FindBin (pt)
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| 304 | : phiErrorHist->GetXaxis ()->GetBinCenter (phiErrorHist->GetXaxis ()->GetNbins ());
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| 305 | ybin = phiErrorHist->GetYaxis ()->FindBin (TMath::Abs (eta));
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| 306 | phiError = phiErrorHist->GetBinContent (xbin, ybin);
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| 307 | if (!phiError)
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| 308 | phiError = -1.0;
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| 309 | }
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| 310 | if (phiError < 0.0)
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| 311 | continue;
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| 312 |
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| 313 | if (fApplyToPileUp || !candidate->IsPU)
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| 314 | {
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| 315 | d0 = gRandom->Gaus(d0, d0Error);
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| 316 | dz = gRandom->Gaus(dz, dzError);
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| 317 | p = gRandom->Gaus(p, pError);
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| 318 | ctgTheta = gRandom->Gaus(ctgTheta, ctgThetaError);
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| 319 | phi = gRandom->Gaus(phi, phiError);
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| 320 | }
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| 321 |
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| 322 | if(p < 0.0) continue;
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| 323 | while (phi > TMath::Pi ()) phi -= TMath::TwoPi ();
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| 324 | while (phi <= -TMath::Pi ()) phi += TMath::TwoPi ();
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| 325 |
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| 326 | mother = candidate;
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| 327 | candidate = static_cast<Candidate*>(candidate->Clone());
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| 328 | candidate->D0 = d0;
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| 329 | candidate->DZ = dz;
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| 330 | candidate->P = p;
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| 331 | candidate->CtgTheta = ctgTheta;
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| 332 | candidate->Phi = phi;
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| 333 |
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| 334 | theta = TMath::ACos(ctgTheta / TMath::Sqrt (1.0 + ctgTheta * ctgTheta));
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| 335 | candidate->Momentum.SetPx (p * TMath::Cos (phi) * TMath::Sin (theta));
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| 336 | candidate->Momentum.SetPy (p * TMath::Sin (phi) * TMath::Sin (theta));
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| 337 | candidate->Momentum.SetPz (p * TMath::Cos (theta));
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| 338 | candidate->Momentum.SetE (candidate->Momentum.Pt () * TMath::CosH (eta));
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| 339 | candidate->PT = candidate->Momentum.Pt ();
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| 340 |
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| 341 | x = position.X ();
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| 342 | y = position.Y ();
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| 343 | z = position.Z ();
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| 344 | t = position.T ();
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| 345 | px = candidate->Momentum.Px ();
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| 346 | py = candidate->Momentum.Py ();
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| 347 | pz = candidate->Momentum.Pz ();
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| 348 | pt = candidate->Momentum.Pt ();
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| 349 |
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| 350 | // -- solve for delta: d0' = ( (x+delta)*py' - (y+delta)*px' )/pt'
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| 351 |
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| 352 | candidate->InitialPosition.SetX (x + ((px * y - py * x + d0 * pt) / (py - px)));
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| 353 | candidate->InitialPosition.SetY (y + ((px * y - py * x + d0 * pt) / (py - px)));
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| 354 | x = candidate->InitialPosition.X ();
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| 355 | y = candidate->InitialPosition.Y ();
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| 356 | candidate->InitialPosition.SetZ (z + ((pz * (px * (x - beamSpotPosition.X ()) + py * (y - beamSpotPosition.Y ())) + pt * pt * (dz - z)) / (pt * pt)));
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| 357 | z = candidate->InitialPosition.Z ();
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| 358 |
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| 359 | candidate->InitialPosition.SetT(t);
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| 360 |
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| 361 | // update closest approach
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| 362 | x *= 1.0E-3;
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| 363 | y *= 1.0E-3;
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| 364 | z *= 1.0E-3;
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| 365 |
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| 366 | q = candidate->Charge;
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| 367 |
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| 368 | r = pt / (q * fBz) * 1.0E9/c_light; // in [m]
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| 369 | phi_0 = TMath::ATan2(py, px); // [rad] in [-pi, pi]
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| 370 |
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| 371 | // 2. helix axis coordinates
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| 372 | x_c = x + r*TMath::Sin(phi_0);
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| 373 | y_c = y - r*TMath::Cos(phi_0);
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| 374 | r_c = TMath::Hypot(x_c, y_c);
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| 375 |
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| 376 | rcu = TMath::Abs(r);
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| 377 | rc2 = r_c*r_c;
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| 378 |
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| 379 | // calculate coordinates of closest approach to track circle in transverse plane xd, yd, zd
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| 380 | xd = x_c*x_c*x_c - x_c*rcu*r_c + x_c*y_c*y_c;
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| 381 | xd = (rc2 > 0.0) ? xd / rc2 : -999;
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| 382 | yd = y_c*(-rcu*r_c + rc2);
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| 383 | yd = (rc2 > 0.0) ? yd / rc2 : -999;
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| 384 | zd = z + (TMath::Sqrt(xd*xd + yd*yd) - TMath::Sqrt(x*x + y*y))*pz/pt;
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| 385 |
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| 386 | candidate->Xd = xd*1.0E3;
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| 387 | candidate->Yd = yd*1.0E3;
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| 388 | candidate->Zd = zd*1.0E3;
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| 389 |
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| 390 | if (fApplyToPileUp || !candidate->IsPU)
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| 391 | {
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| 392 | candidate->ErrorD0 = d0Error;
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| 393 | candidate->ErrorDZ = dzError;
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| 394 | candidate->ErrorP = pError;
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| 395 | candidate->ErrorCtgTheta = ctgThetaError;
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| 396 | candidate->ErrorPhi = phiError;
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| 397 | candidate->ErrorPT = ptError (p, ctgTheta, pError, ctgThetaError);
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| 398 | candidate->TrackResolution = pError/p;
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| 399 | }
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| 400 |
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| 401 | candidate->AddCandidate(mother);
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| 402 | fOutputArray->Add(candidate);
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| 403 |
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| 404 | iCandidate++;
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| 405 | }
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| 406 | }
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| 407 |
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| 408 | Double_t TrackSmearing::ptError (const Double_t p, const Double_t ctgTheta, const Double_t dP, const Double_t dCtgTheta)
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| 409 | {
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| 410 | Double_t a, b;
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| 411 | a = (p * p * ctgTheta * ctgTheta * dCtgTheta * dCtgTheta) / ((ctgTheta * ctgTheta + 1) * (ctgTheta * ctgTheta + 1) * (ctgTheta * ctgTheta + 1));
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| 412 | b = (dP * dP) / (ctgTheta * ctgTheta + 1);
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| 413 | return sqrt (a + b);
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| 414 | }
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| 415 |
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| 416 | //------------------------------------------------------------------------------
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