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| // -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/DirectFinalState.hh"
#include "Rivet/Projections/IndirectFinalState.hh"
#include "Rivet/Projections/TauFinder.hh"
#include "Rivet/Projections/FastJets.hh"
#include "Rivet/Projections/MissingMomentum.hh"
#include "Rivet/Projections/Smearing.hh"
#include "Rivet/Tools/Cutflow.hh"
namespace Rivet {
/// Recursive jigsaw chargino-neutralino search with 2 or 3 charged leptons in 36/fb of 13 TeV pp
///
/// @author Derek Yeung, Andy Buckley
class ATLAS_2018_I1676551 : public Analysis {
public:
/// Constructor
RIVET_DEFAULT_ANALYSIS_CTOR(ATLAS_2018_I1676551);
/// Analysis initialization
void init() {
PromptFinalState electrons(Cuts::abspid == PID::ELECTRON);
SmearedParticles recoelectrons(electrons, ELECTRON_EFF_ATLAS_RUN2_MEDIUM, ELECTRON_SMEAR_ATLAS_RUN2);
declare(recoelectrons, "Electrons");
PromptFinalState muons(Cuts::abspid == PID::MUON);
SmearedParticles recomuons(muons, MUON_EFF_ATLAS_RUN2, MUON_SMEAR_ATLAS_RUN2);
declare(recomuons, "Muons");
FastJets jets4(IndirectFinalState(Cuts::open()), FastJets::ANTIKT, 0.4);
SmearedJets recojets4(jets4, JET_SMEAR_CMS_RUN2, JET_BTAG_EFFS(0.77, 1/6., 1/134.));
declare(recojets4, "Jets");
MissingMomentum met(FinalState(Cuts::abseta < 4.9));
SmearedMET recomet(met, MET_SMEAR_ATLAS_RUN2);
declare(recomet, "MET");
// Cutflow Setup for 2l-High
const strings cfnames1 = {"Trigger matching & 2 signal leptons", "Preselection",
"Fraction 1 > 0.8", "Fraction 2 < 0.05",
"Delta Phi in [0.3, 2.9]", "H_PP_4,1 > 800 GeV"};
_cutflow2l[0].addCutflow("ATLAS_2018_I1676551 SR EW", cfnames1);
// Cutflow Setup for 2l-Int
const strings cfnames2 = {"Trigger matching & 2 signal leptons", "Preselection",
"Fraction 1 > 0.8", "Fraction 2 < 0.05",
"Delta Phi in [0.3, 2.6]", "H_PP_4,1 > 600 GeV"};
_cutflow2l[1].addCutflow("ATLAS_2018_I1676551 SR EW", cfnames2);
// Cutflow Setup for 2l-Low
const strings cfnames3 = {"Trigger matching & 2 signal leptons", "Preselection",
"Fraction 1 in [0.35, 0.6]", "Fraction 2 < 0.05",
"Min Delta Phi > 2.4", "H_PP_4,1 > 400 GeV"};
_cutflow2l[2].addCutflow("ATLAS_2018_I1676551 SR EW", cfnames3);
// Cutflow Setup for 2l-ISR
const strings cfnames4 = {"Trigger matching & 2 signal leptons", "Preselection",
"m_Z in [80, 100] GeV", "m_J in [50, 110] GeV",
"Delta Phi > 2.8", "R_ISR in [0.4, 0.75]", "p_CM_T_ISR > 180 GeV",
"p_CM_T_I > 100 GeV", "p_CM_T < 30 GeV"};
_cutflow2lISR.addCutflow("ATLAS_2018_I1676551 SR EW", cfnames4);
// Cutflow Setup for 3l-High
const strings cfnames5 = {"Trigger matching & 3 signal leptons", "Preselection",
"m_ll in [75,105] GeV", "m_W_T > 150 GeV",
"Fraction 1 > 0.75", "Fraction 2 < 0.8",
"H_PP_31 > 500 GeV", "Fraction 3 < 0.2"};
_cutflow3l[0].addCutflow("ATLAS_2018_I1676551 SR EW", cfnames5);
// Cutflow Setup for 3l-Int
const strings cfnames6 = {"Trigger matching & 3 signal leptons", "Preselection",
"m_ll in [75,105] GeV", "m_W_T > 130 GeV",
"Fraction 1 > 0.8", "Fraction 2 < 0.75",
"H_PP_31 > 450 GeV", "Fraction 3 < 0.15"};
_cutflow3l[1].addCutflow("ATLAS_2018_I1676551 SR EW", cfnames6);
// Cutflow Setup for 3l-Low
const strings cfnames7 = {"Trigger matching & 3 signal leptons", "Preselection",
"m_ll in [75,105] GeV", "m_W_T > 100 GeV",
"Fraction 1 > 0.9", "H_PP_31 > 250 GeV", "Fraction 2 < 0.05"};
_cutflow3l[2].addCutflow("ATLAS_2018_I1676551 SR EW", cfnames7);
// Cutflow Setup for 3l-ISR
const strings cfnames8 = {"Trigger matching & 3 signal leptons", "Preselection",
"m_ll in [75, 105] GeV", "m_W_T > 100 GeV",
"Delta Phi > 2.0", "R_ISR in [0.55, 1.0]", "p_CM_T_ISR > 100 GeV",
"p_CM_T_I > 80 GeV", "p_CM_T < 25 GeV"};
_cutflow3lISR.addCutflow("ATLAS_2018_I1676551 SR EW", cfnames8);
}
// Per-event analysis
void analyze(const Event& event) {
_cutflow2l[0].fillinit();
_cutflow2l[1].fillinit();
_cutflow2l[2].fillinit();
_cutflow2lISR.fillinit();
_cutflow3l[0].fillinit();
_cutflow3l[1].fillinit();
_cutflow3l[2].fillinit();
_cutflow3lISR.fillinit();
// Obtain Electrons, Muons and Jets
Particles elecs = apply<ParticleFinder>(event, "Electrons").particlesByPt(Cuts::pT > 10*GeV && Cuts::abseta < 2.47);
Particles muons = apply<ParticleFinder>(event, "Muons").particlesByPt(Cuts::pT > 10*GeV && Cuts::abseta < 2.4);
Particles leptons = sortByPt(elecs + muons);
Jets jets = apply<SmearedJets>(event, "Jets").jetsByPt(Cuts::pT > 20*GeV && Cuts::abseta < 2.4);
// Discard jets within DR = 0.4 of prompt leptons
idiscardIfAnyDeltaRLess(jets, leptons, 0.4);
// 2-lepton High (n=0), Int (n=1) and Low (n=2) Selection
for (int n=0; n<3; ++n) {
while (true) {
// Require the leading electron and the leading muon to have pT > 25GeV
if (elecs.size() != 0 && elecs[0].pT() < 25*GeV) break;
if (muons.size() != 0 && muons[0].pT() < 25*GeV) break;
// Obtain the missing transverse momentum vector
Vector3 EtMissX = apply<SmearedMET>(event,"MET").vectorPt();
Vector3 EtMiss = -EtMissX;
// Require only 2 opposite charged, same flavoured leptons
double n_leptons = leptons.size();
if (n_leptons != 2) break;
if (leptons[0].abspid() != leptons[1].abspid()) break;
if (leptons[0].charge() * leptons[1].charge() >= 0) break;
// Obtain the 4-momenta of leptons and implement requirements on them
vector<FourMomentum> lepton;
for (int l = 0; l < 2; ++l) lepton.push_back(leptons[l].mom());
double p_l1_T = lepton[0].pT();
if (p_l1_T < 25*GeV) break;
double p_l2_T = lepton[1].pT();
if (p_l2_T < 25*GeV) break;
_cutflow2l[n].fill(1);
// Requirement on m_ll
double m_ll = (lepton[0]+lepton[1]).mass();
if (!inRange(m_ll, 80*GeV, 100*GeV)) break;
// Obtain the 4-momenta of jets and implement requirements on them
double n_jets = jets.size();
if (n != 2) {
if (n_jets < 2) break;
if (any(jets,hasBTag())) break;
} else{
if (n_jets != 2) break;
if (any(jets,hasBTag())) break;
}
vector<FourMomentum> jet;
for (int l = 0; l < 2; ++l) jet.push_back(jets[l].momentum());
double p_j1_T = jet[0].pT();
if (p_j1_T < 30*GeV) break;
double p_j2_T = jet[1].pT();
if (p_j2_T < 30*GeV) break;
double m_jj = (jet[0]+jet[1]).mass();
if (n != 2) {
if (m_jj < 60*GeV || m_jj > 100*GeV) break;
} else{
if (m_jj < 70*GeV || m_jj > 90*GeV) break;
}
// Pre-selection requirements cut
_cutflow2l[n].fill(2);
// Invisible mass JR and Invisible Rapidity JR to obtain Invisible System 4-momentum
FourMomentum P_V = lepton[0] + lepton[1] + jet[0] + jet[1];
double M_I = sqrt(P_V.mass2() - 4*m_ll*m_jj);
double M_V = P_V.mass();
double p_I_z = P_V.pz() * sqrt(EtMiss.dot(EtMiss) + sqr(M_I)) / sqrt(P_V.pT2() + sqr(M_V));
FourMomentum P_I;
P_I.setPM(EtMiss.x(), EtMiss.y(), p_I_z, M_I);
// Lorentz boost to CM frame
LorentzTransform LT = LorentzTransform::mkFrameTransform(P_I+P_V);
FourMomentum P_F_I; //4-momentum of invisible system in CM frame
FourMomentum P_F_Va; //4-momentum of visible system a in CM frame
FourMomentum P_F_Vb; //4-momentum of visible system b in CM frame
FourMomentum P_F_V; //4-momentum of visible system in CM frame
FourMomentum P_F_Va1; //4-momentum of visible system a1 in CM frame
FourMomentum P_F_Va2; //4-momentum of visible system a2 in CM frame
FourMomentum P_F_Vb1; //4-momentum of visible system b1 in CM frame
FourMomentum P_F_Vb2; //4-momentum of visible system b2 in CM frame
if ((jet[0]+jet[1]).mass() > (lepton[0]+lepton[1]).mass()) {
P_F_I = LT.transform(P_I);
P_F_Va = LT.transform(jet[0]+jet[1]);
P_F_Vb = LT.transform(lepton[0]+lepton[1]);
P_F_V = LT.transform(P_V);
//
P_F_Va1 = LT.transform(jet[0]);
P_F_Va2 = LT.transform(jet[1]);
P_F_Vb1 = LT.transform(lepton[0]);
P_F_Vb2 = LT.transform(lepton[1]);
} else {
P_F_I = LT.transform(P_I);
P_F_Va = LT.transform(lepton[0]+lepton[1]);
P_F_Vb = LT.transform(jet[0]+jet[1]);
P_F_V = LT.transform(P_V);
//
P_F_Va1 = LT.transform(lepton[0]);
P_F_Va2 = LT.transform(lepton[1]);
P_F_Vb1 = LT.transform(jet[0]);
P_F_Vb2 = LT.transform(jet[1]);
}
// Obtain variables defined in the Contra-boost Invariant JR
double M2c = 2*((P_F_Va.E())*(P_F_Vb.E())+(P_F_Va.p3()).dot(P_F_Vb.p3()));
double m2Va = sqr(P_F_Va.mass());
double m2Vb = sqr(P_F_Vb.mass());
double ka = m2Va-m2Vb+M2c-2*sqrt(m2Va)*sqrt(m2Vb);
double kb = m2Vb-m2Va+M2c-2*sqrt(m2Va)*sqrt(m2Vb);
double kn = ka*m2Va - kb*m2Vb + M2c*(kb-ka)/2 + (0.5)*sqrt(pow(ka+kb,2)*(pow(M2c,2)-4*m2Va*m2Vb));
double k2d = sqr(ka)*m2Va+sqr(kb)*m2Vb+ka*kb*M2c;
double k = kn/k2d;
double ca = (1+k*ka)/2;
double cb = (1+k*kb)/2;
double c = 0.5*(P_F_V.E()+sqrt(pow(P_F_V.E(),2)+pow(M_I,2)-pow(P_V.mass(),2)))/(ca*(P_F_Va.E())+cb*(P_F_Vb.E()));
// Apply Contra-boost Invariant JR to obtain invisible particles' 4-momenta
double p_F_Iax = (P_F_Va.px())*(c*ca-1)-(P_F_Vb.px())*c*cb;
double p_F_Iay = (P_F_Va.py())*(c*ca-1)-(P_F_Vb.py())*c*cb;
double p_F_Iaz = (P_F_Va.pz())*(c*ca-1)-(P_F_Vb.pz())*c*cb;
double p_F_Ibx = (P_F_Vb.px())*(c*cb-1)-(P_F_Va.px())*c*ca;
double p_F_Iby = (P_F_Vb.py())*(c*cb-1)-(P_F_Va.py())*c*ca;
double p_F_Ibz = (P_F_Vb.pz())*(c*cb-1)-(P_F_Va.pz())*c*ca;
double E_F_Ia = (c*ca-1)*(P_F_Va.E())+c*cb*(P_F_Vb.E());
double E_F_Ib = (c*cb-1)*(P_F_Vb.E())+c*ca*(P_F_Va.E());
FourMomentum P_F_Ia;
FourMomentum P_F_Ib;
P_F_Ia.setPE(p_F_Iax,p_F_Iay,p_F_Iaz,E_F_Ia);
P_F_Ib.setPE(p_F_Ibx,p_F_Iby,p_F_Ibz,E_F_Ib);
// Lorentz boost from the CM frame to the P_a and P_b frame
LorentzTransform LTPa=LorentzTransform::mkFrameTransform(P_F_Va+P_F_Ia);
LorentzTransform LTPb=LorentzTransform::mkFrameTransform(P_F_Vb+P_F_Ib);
// min(H_Pa_11,H_Pb_11)/min(H_Pa_21,H_Pb,21) requirement
if (n != 2) {
double H_Pa_11 = (LTPa.transform(P_F_Va1+P_F_Va2)).p()+(LTPa.transform(P_F_Ia)).p();
double H_Pb_11 = (LTPb.transform(P_F_Vb1+P_F_Vb2)).p()+(LTPb.transform(P_F_Ib)).p();
double H_Pa_21 = (LTPa.transform(P_F_Va1)).p()+(LTPa.transform(P_F_Va2)).p()+(LTPa.transform(P_F_Ia)).p();
double H_Pb_21 = (LTPa.transform(P_F_Vb1)).p()+(LTPb.transform(P_F_Vb2)).p()+(LTPb.transform(P_F_Ib)).p();
vector<double> V1 = {H_Pa_11,H_Pb_11};
vector<double> V2 = {H_Pa_21,H_Pb_21};
double fraction1 = min(V1)/min(V2);
if (fraction1 < 0.8) break;
} else {
double H_PP_41 = P_F_Va1.p()+P_F_Va2.p()+P_F_Vb1.p()+P_F_Vb2.p()+(P_F_Ia+P_F_Ib).p();
double H_PP_11 = (P_F_Va1+P_F_Va2+P_F_Vb1+P_F_Vb2).p()+(P_F_Ia+P_F_Ib).p();
double fraction1 = H_PP_11/H_PP_41;
if (fraction1 < 0.35 || fraction1 > 0.6) break;
}
_cutflow2l[n].fill(3);
// Lorentz boost from the CM frame to the lab frame
LorentzTransform LTR = LorentzTransform::mkObjTransform(P_I+P_V);
// p_lab_T_PP/(p_lab_T_PP+p_lab_T_41) requirement
double p_lab_T_PP = (LTR.transform(P_F_Va1+P_F_Va2+P_F_Vb1+P_F_Vb2+P_F_Ia+P_F_Ib)).pT();
double H_PP_T_41 = P_F_Va1.pT()+P_F_Va2.pT()+P_F_Vb1.pT()+P_F_Vb2.pT()+(P_F_Ia+P_F_Ib).pT();
double fraction2 = p_lab_T_PP/(p_lab_T_PP+H_PP_T_41);
if (fraction2 > 0.05) break;
_cutflow2l[n].fill(4);
// Delta-Phi requirement
if (n == 0) {
Vector3 vector1 = (P_F_Va+P_F_Ia).betaVec();
Vector3 vector2 = (LTPa.transform(P_F_Va)).betaVec();
if (deltaPhi(vector1,vector2) < 0.3 || deltaPhi(vector1,vector2) > 2.8) break;
Vector3 vector3 = (P_F_Vb+P_F_Ib).betaVec();
Vector3 vector4 = (LTPb.transform(P_F_Vb)).betaVec();
if (deltaPhi(vector3,vector4) < 0.3 || deltaPhi(vector3,vector4) > 2.8) break;
} else if (n == 1) {
Vector3 vector1 = (P_F_Va+P_F_Ia).betaVec();
Vector3 vector2 = (LTPa.transform(P_F_Va)).betaVec();
if (deltaPhi(vector1,vector2) < 0.6 || deltaPhi(vector1,vector2) > 2.6) break;
Vector3 vector3 = (P_F_Vb+P_F_Ib).betaVec();
Vector3 vector4 = (LTPb.transform(P_F_Vb)).betaVec();
if (deltaPhi(vector3,vector4) < 0.6 || deltaPhi(vector3,vector4) > 2.6) break;
} else {
Vector3 j1 = jet[0].p3();
Vector3 j2 = jet[1].p3();
double delta1 = deltaPhi(j1,EtMiss);
double delta2 = deltaPhi(j2,EtMiss);
double delta = min(delta1,delta2);
if (delta < 2.4) break;
}
_cutflow2l[n].fill(5);
// H_PP_41 requirement
double H_PP_41 = P_F_Va1.p()+P_F_Va2.p()+P_F_Vb1.p()+P_F_Vb2.p()+(P_F_Ia+P_F_Ib).p();
if (n==0) {
if (H_PP_41 < 800*GeV) break;
} else if (n==1) {
if (H_PP_41 < 600*GeV) break;
} else {
if (H_PP_41 < 400*GeV) break;
}
_cutflow2l[n].fill(6);
break;
}
}
// 2-lepton ISR Selection
while (true) {
// Require the leading electron and the leading muon to have pT > 25 GeV
if (elecs.size() != 0 && elecs[0].pT() < 25*GeV) break;
if (muons.size() != 0 && muons[0].pT() < 25*GeV) break;
// Require only 2 opposite charged, same flavoured leptons
double n_leptons = leptons.size();
if (n_leptons != 2) break;
if (leptons[0].abspid() != leptons[1].abspid()) break;
if (leptons[0].charge()*leptons[1].charge() >= 0) break;
// Obtain the 4-momenta of leptons and implement requirements on them
vector<FourMomentum> lepton;
double M;
for (int n = 0; n < 2; ++n) {
lepton.push_back(leptons[n].mom());
M = lepton[n].mass();
lepton[n].setPz(0);
lepton[n].setE(sqrt(pow(lepton[n].px(),2)+pow(lepton[n].py(),2)+pow(M,2)));
}
if (lepton[0].pT() < 25*GeV || lepton[1].pT() < 25*GeV) break;
_cutflow2lISR.fill(1);
// Obtain the 4-momenta of leptons and implement requirements on them
double n_jets = jets.size();
if (n_jets < 3 || n_jets > 4) break;
if (any(jets, hasBTag())) break;
vector<FourMomentum> jet;
for (int n = 0; n < n_jets; ++n) {
jet.push_back(jets[n].momentum());
M = jet[n].mass();
jet[n].setPz(0);
jet[n].setE(sqrt(pow(jet[n].px(),2)+pow(jet[n].py(),2)+pow(M,2)));
}
if (jet[0].pT() < 30*GeV || jet[1].pT() < 30*GeV) break;
Vector3 EtMissX = apply<SmearedMET>(event,"MET").vectorPt();
Vector3 EtMiss = -EtMissX;
// Obtain the missing transverse momentum vector
FourMomentum EtMiss1;
EtMiss1.setPM(EtMiss.x(),EtMiss.y(),EtMiss.z(),sqrt(EtMiss.dot(EtMiss)));
// Combinatoric Minimization JR
vector<double> f;
int indexToReturn = 0;
int indexValue = 0;
int newValue = 0;
if (n_jets == 3) {
f.push_back((EtMiss1+jet[1]+jet[2]).p());
f.push_back((EtMiss1+jet[0]+jet[2]).p());
f.push_back((EtMiss1+jet[0]+jet[1]).p());
f.push_back((EtMiss1+jet[0]).p());
f.push_back((EtMiss1+jet[1]).p());
f.push_back((EtMiss1+jet[2]).p());
for (int i = 0; i < 6; i++) {
newValue = f[i];
if (newValue >= indexValue) {
indexToReturn = i;
indexValue = newValue;
}
}
if (indexToReturn == 3 || indexToReturn == 4 || indexToReturn == 5) break;
}
else {
f.push_back((EtMiss1+jet[0]+jet[1]).p());
f.push_back((EtMiss1+jet[0]+jet[2]).p());
f.push_back((EtMiss1+jet[0]+jet[3]).p());
f.push_back((EtMiss1+jet[1]+jet[2]).p());
f.push_back((EtMiss1+jet[1]+jet[3]).p());
f.push_back((EtMiss1+jet[2]+jet[3]).p());
f.push_back((EtMiss1+jet[0]).p());
f.push_back((EtMiss1+jet[1]).p());
f.push_back((EtMiss1+jet[2]).p());
f.push_back((EtMiss1+jet[3]).p());
f.push_back((EtMiss1+jet[1]+jet[2]+jet[3]).p());
f.push_back((EtMiss1+jet[0]+jet[2]+jet[3]).p());
f.push_back((EtMiss1+jet[0]+jet[1]+jet[3]).p());
f.push_back((EtMiss1+jet[0]+jet[1]+jet[2]).p());
for (int i = 0; i < 14; i++) {
newValue = f[i];
if (newValue >= indexValue) {
indexToReturn = i;
indexValue = newValue;
}
}
if (indexToReturn == 6 || indexToReturn == 7 || indexToReturn == 8 || indexToReturn == 9 ||
indexToReturn == 10 || indexToReturn == 11 || indexToReturn == 12 || indexToReturn == 13) break;
}
_cutflow2lISR.fill(2);
// g1 and g2 are the set of jets belonging to the ISR and signal system respectively
vector<vector<double>> g1, g2;
if (n_jets == 3) {
g2 = {{1,2},{0,2},{0,1}};
} else {
g1 = {{2,3},{1,3},{1,2},{0,3},{0,2},{0,1}};
g2 = {{0,1},{0,2},{0,3},{1,2},{1,3},{2,3}};
}
// m_Z requirement
double m_Z = ((leptons[0]).mom()+(leptons[1]).mom()).mass();
if (m_Z < 80*GeV || m_Z > 100*GeV) break;
_cutflow2lISR.fill(3);
// m_J requirement
double m_J = ((jets[g2[indexToReturn][0]]).momentum()+(jets[g2[indexToReturn][1]]).momentum()).mass();
if (m_J < 50*GeV || m_J > 110*GeV) break;
_cutflow2lISR.fill(4);
// Compute variables delta_phi, R_ISR, P_T_ISR, p_T_I, p_T and implement their requirements
double p_T_ISR;
double p_T_I;
double p_T;
double R_ISR;
double delta_phi;
if (n_jets == 3) {
FourMomentum CM = EtMiss1+jet[indexToReturn]+jet[g2[indexToReturn][0]]+jet[g2[indexToReturn][1]]+lepton[0]+lepton[1];
LorentzTransform LT=LorentzTransform::mkFrameTransform(CM);
p_T_ISR = (LT.transform(jet[indexToReturn])).pT();
p_T_I = (LT.transform(EtMiss1)).pT();
p_T = (CM).pT();
Vector3 p_I = (LT.transform(EtMiss1)).p3();
Vector3 p_S = (LT.transform(EtMiss1+jet[g2[indexToReturn][0]]+jet[g2[indexToReturn][1]]+lepton[0]+lepton[1])).p3();
R_ISR = (p_S.dot(p_I))/(p_S.dot(p_S));
delta_phi = deltaPhi((LT.transform(EtMiss1)).p3(),(LT.transform(jet[indexToReturn])).p3());
} else {
FourMomentum CM = EtMiss1+jet[g1[indexToReturn][0]]+jet[g1[indexToReturn][1]]+jet[g2[indexToReturn][0]]+jet[g2[indexToReturn][1]]+lepton[0]+lepton[1];
LorentzTransform LT=LorentzTransform::mkFrameTransform(CM);
p_T_ISR = (LT.transform(jet[g1[indexToReturn][0]]+jet[g1[indexToReturn][1]])).pT();
p_T_I = (LT.transform(EtMiss1)).pT();
p_T = (CM).pT();
Vector3 p_I = (LT.transform(EtMiss1)).p3();
Vector3 p_S = (LT.transform(EtMiss1+jet[g2[indexToReturn][0]]+jet[g2[indexToReturn][1]]+lepton[0]+lepton[1])).p3();
R_ISR = (p_S.dot(p_I))/(p_S.dot(p_S));
delta_phi = deltaPhi((LT.transform(EtMiss1)).p3(),(LT.transform(jet[g1[indexToReturn][0]]+jet[g1[indexToReturn][1]])).p3());
}
if (delta_phi < 2.8) break;
_cutflow2lISR.fill(5);
if (R_ISR < 0.4 || R_ISR > 0.75) break;
_cutflow2lISR.fill(6);
if (p_T_ISR < 180*GeV) break;
_cutflow2lISR.fill(7);
if (p_T_I < 100*GeV) break;
_cutflow2lISR.fill(8);
if (p_T > 20*GeV) break;
_cutflow2lISR.fill(9);
break;
}
// 3-lepton High (n=0), Int (n=1) and Low (n=2) Selection
for (int n = 0; n < 3; ++n) {
while (true) {
// Require the leading electron and the leading muon to have pT > 25 GeV
if (elecs.size() != 0 && elecs[0].pT() < 25*GeV) break;
if (muons.size() != 0 && muons[0].pT() < 25*GeV) break;
// Require 3 leptons and a pair of leptons with opposite charge and same flavour
double n_leptons = leptons.size();
if (n_leptons != 3) break;
vector<vector<double>> g = {{1,2},{0,2},{0,1}};
int indexToReturn = 3;
int indexValue = 100000;
int newValue = 0;
for (int i = 0; i < 3; i++) {
if (!(leptons[g[i][0]].abspid() == leptons[g[i][1]].abspid() && leptons[g[i][0]].charge() != leptons[g[i][1]].charge())) continue;
newValue = abs((leptons[g[i][0]].mom()+leptons[g[i][1]].mom()).mass() - 90*GeV);
if (newValue <= indexValue) {
indexToReturn = i;
indexValue = newValue;
}
}
if (indexToReturn == 3) break;
_cutflow3l[n].fill(1);
// Requirements on n_jets
double n_jets = jets.size();
if (n != 2) {
if (n_jets >= 3) break;
if (any(jets, hasBTag())) break;
} else {
if (n_jets != 0) break;
}
// Obtain 4-momentum of the leptons and implement the requirements on their transverse momentum
vector<FourMomentum> lepton;
for (int l = 0; l < 3; ++l) {
lepton.push_back(leptons[l].mom());
}
double p_l1_T = lepton[0].pT();
if (p_l1_T < 60) break;
if (n==0) {
double p_l2_T = lepton[1].pT();
if (p_l2_T < 60*GeV) break;
} else if (n==1) {
double p_l2_T = lepton[1].pT();
if (p_l2_T < 50*GeV) break;
} else {
double p_l2_T = lepton[1].pT();
if (p_l2_T < 40*GeV) break;
}
if (n==0) {
double p_l3_T = (lepton[2]).pT();
if (p_l3_T < 40*GeV) break;
} else {
double p_l3_T = (lepton[2]).pT();
if (p_l3_T < 30*GeV) break;
}
// Pre-selection Cut
_cutflow3l[n].fill(2);
// Requirement on m_ll
double m_ll = (lepton[g[indexToReturn][0]]+lepton[g[indexToReturn][1]]).mass();
if (m_ll < 75*GeV || m_ll > 105*GeV) break;
_cutflow3l[n].fill(3);
// Obtain the missing transverse momentum vector
Vector3 EtMissX = apply<SmearedMET>(event,"MET").vectorPt();
Vector3 EtMiss = -EtMissX;
// Requirement on m_W_T
double deltaphi = deltaPhi(EtMiss,(lepton[indexToReturn]).p3());
double m_W_T = sqrt(2*((lepton[indexToReturn]).pT())*sqrt(EtMiss.dot(EtMiss))*(1-cos(deltaphi)));
if (n==0) {
if (m_W_T < 150*GeV) break;
} else if (n==1) {
if (m_W_T < 130*GeV) break;
} else {
if (m_W_T < 100*GeV) break;
}
_cutflow3l[n].fill(4);
// Invisible mass JR and Invisible Rapidity JR to obtain Invisible System 4-momentum
FourMomentum P_V = lepton[0]+lepton[1]+lepton[2];
double M_I = sqrt(P_V.mass2() - 4*m_ll*((lepton[indexToReturn]).mass()));
double M_V = P_V.mass();
double p_I_z = (P_V.pz())*sqrt(EtMiss.dot(EtMiss)+sqr(M_I)) / sqrt(P_V.pT2() + sqr(M_V));
FourMomentum P_I;
P_I.setPM(EtMiss.x(), EtMiss.y(), p_I_z, M_I);
// Lorentz boost to CM frame
LorentzTransform LT = LorentzTransform::mkFrameTransform(P_I+P_V);
FourMomentum P_F_I; //4-momentum of invisible system in CM frame
FourMomentum P_F_Va; //4-momentum of visible system a in CM frame
FourMomentum P_F_Vb; //4-momentum of visible system b in CM frame
FourMomentum P_F_V; //4-momentum of visible system in CM frame
FourMomentum P_F_Va1; //4-momentum of visible system a1 in CM frame
FourMomentum P_F_Va2; //4-momentum of visible system a2 in CM frame
FourMomentum P_F_Vb1; //4-momentum of visible system b1 in CM frame
FourMomentum P_F_Vb2; //4-momentum of visible system b2 in CM frame
if ((lepton[indexToReturn]).mass() > (lepton[g[indexToReturn][0]]+lepton[g[indexToReturn][1]]).mass()) {
P_F_I = LT.transform(P_I);
P_F_Va = LT.transform(lepton[indexToReturn]);
P_F_Vb = LT.transform(lepton[g[indexToReturn][0]]+lepton[g[indexToReturn][1]]);
P_F_V = LT.transform(P_V);
//
P_F_Va1 = LT.transform(lepton[indexToReturn]);
P_F_Vb1 = LT.transform(lepton[g[indexToReturn][0]]);
P_F_Vb2 = LT.transform(lepton[g[indexToReturn][1]]);
} else {
P_F_I = LT.transform(P_I);
P_F_Va = LT.transform(lepton[g[indexToReturn][0]]+lepton[g[indexToReturn][1]]);
P_F_Vb = LT.transform(lepton[indexToReturn]);
P_F_V = LT.transform(P_V);
//
P_F_Va1 = LT.transform(lepton[g[indexToReturn][0]]);
P_F_Va2 = LT.transform(lepton[g[indexToReturn][1]]);
P_F_Vb1 = LT.transform(lepton[indexToReturn]);
}
// Obtain variables defined in the Contra-boost Invariant JR
double M2c = 2*((P_F_Va.E())*(P_F_Vb.E())+(P_F_Va.p3()).dot(P_F_Vb.p3()));
double m2Va = sqr(P_F_Va.mass());
double m2Vb = sqr(P_F_Vb.mass());
double ka = m2Va-m2Vb+M2c-2*sqrt(m2Va)*sqrt(m2Vb);
double kb = m2Vb-m2Va+M2c-2*sqrt(m2Va)*sqrt(m2Vb);
double kn = ka*m2Va - kb*m2Vb + M2c*(kb-ka)/2 + (0.5)*sqrt(pow(ka+kb,2)*(pow(M2c,2)-4*m2Va*m2Vb));
double k2d = sqr(ka)*m2Va+sqr(kb)*m2Vb+ka*kb*M2c;
double k = kn/k2d;
double ca = (1+k*ka)/2;
double cb = (1+k*kb)/2;
double c = 0.5*(P_F_V.E()+sqrt(pow(P_F_V.E(),2)+pow(M_I,2)-pow(P_V.mass(),2)))/(ca*(P_F_Va.E())+cb*(P_F_Vb.E()));
// Apply Contra-boost Invariant JR to obtain invisible particles' 4-momenta
double p_F_Iax = (P_F_Va.px())*(c*ca-1)-(P_F_Vb.px())*c*cb;
double p_F_Iay = (P_F_Va.py())*(c*ca-1)-(P_F_Vb.py())*c*cb;
double p_F_Iaz = (P_F_Va.pz())*(c*ca-1)-(P_F_Vb.pz())*c*cb;
double p_F_Ibx = (P_F_Vb.px())*(c*cb-1)-(P_F_Va.px())*c*ca;
double p_F_Iby = (P_F_Vb.py())*(c*cb-1)-(P_F_Va.py())*c*ca;
double p_F_Ibz = (P_F_Vb.pz())*(c*cb-1)-(P_F_Va.pz())*c*ca;
double E_F_Ia = (c*ca-1)*(P_F_Va.E())+c*cb*(P_F_Vb.E());
double E_F_Ib = (c*cb-1)*(P_F_Vb.E())+c*ca*(P_F_Va.E());
FourMomentum P_F_Ia;
FourMomentum P_F_Ib;
P_F_Ia.setPE(p_F_Iax,p_F_Iay,p_F_Iaz,E_F_Ia);
P_F_Ib.setPE(p_F_Ibx,p_F_Iby,p_F_Ibz,E_F_Ib);
// Lorentz Transform to the Pb frame from the CM frame
LorentzTransform LTP;
if ((lepton[indexToReturn]).mass() > (lepton[g[indexToReturn][0]]+lepton[g[indexToReturn][1]]).mass()) {
LTP = LorentzTransform::mkFrameTransform(P_F_Vb+P_F_Ib);
} else {
LTP = LorentzTransform::mkFrameTransform(P_F_Va+P_F_Ia);
}
// p_lab_T_PP/(p_lab_T_PP+p_lab_T_31) requirement
LorentzTransform LTR = LorentzTransform::mkObjTransform(P_I+P_V);
double p_lab_T_PP = (LTR.transform(P_F_Va+P_F_Vb+P_F_Ia+P_F_Ib)).pT();
double H_PP_T_31;
double H_PP_31;
double H_Pb_11;
double H_Pb_21;
if ((lepton[indexToReturn]).mass() > (lepton[g[indexToReturn][0]]+lepton[g[indexToReturn][1]]).mass()) {
H_PP_T_31 = P_F_Va1.pT()+P_F_Vb1.pT()+P_F_Vb2.pT()+(P_F_Ia+P_F_Ib).pT();
H_PP_31 = P_F_Va1.p()+P_F_Vb1.p()+P_F_Vb2.p()+(P_F_Ia+P_F_Ib).p();
H_Pb_11 = (LTP.transform(P_F_Vb1+P_F_Vb2)).p()+(LTP.transform(P_F_Ib)).p();
H_Pb_21 = (LTP.transform(P_F_Vb1)).p()+(LTP.transform(P_F_Vb2)).p()+(LTP.transform(P_F_Ib)).p();
} else {
H_PP_T_31 = P_F_Va1.pT()+P_F_Va2.pT()+P_F_Vb1.pT()+(P_F_Ia+P_F_Ib).pT();
H_PP_31 = P_F_Va1.p()+P_F_Va2.p()+P_F_Vb1.p()+(P_F_Ia+P_F_Ib).p();
H_Pb_11 = (LTP.transform(P_F_Va1+P_F_Va2)).p()+(LTP.transform(P_F_Ia)).p();
H_Pb_21 = (LTP.transform(P_F_Va1)).p()+(LTP.transform(P_F_Va2)).p()+(LTP.transform(P_F_Ia)).p();
}
double fraction1 = H_PP_T_31/H_PP_31;
if (n==0) {
if (fraction1 < 0.75) break;
} else if (n==1) {
if (fraction1 < 0.8) break;
} else {
if (fraction1 < 0.9) break;
}
_cutflow3l[n].fill(5);
double fraction2 = H_Pb_11/H_Pb_21;
if (n==0) {
if (fraction2 < 0.8) break;
_cutflow3l[n].fill(6);
} else if (n==1) {
if (fraction2 < 0.75) break;
_cutflow3l[n].fill(6);
} else { /* ??? */ }
if (n==0) {
if (H_PP_31 < 550*GeV) break;
_cutflow3l[n].fill(7);
} else if (n==1) {
if (H_PP_31 < 450*GeV) break;
_cutflow3l[n].fill(7);
} else {
if (H_PP_31 < 250*GeV) break;
_cutflow3l[n].fill(6);
}
double fraction3 = p_lab_T_PP/(p_lab_T_PP+H_PP_T_31);
if (n==0) {
if (fraction3 > 0.2) break;
_cutflow3l[n].fill(8);
} else if (n==1) {
if (fraction3 > 0.15) break;
_cutflow3l[n].fill(8);
} else {
if (fraction3 > 0.05) break;
_cutflow3l[n].fill(7);
}
break;
}
}
// 3-lepton ISR Selection
while (true) {
// Require the leading electron and the leading muon to have pT > 25GeV
if (elecs.size() != 0 && elecs[0].pT() < 25*GeV) break;
if (muons.size() != 0 && muons[0].pT() < 25*GeV) break;
// Require only 3 leptons
double n_leptons = leptons.size();
if (n_leptons != 3) break;
// Require and identify the pair of opposite-charged and same-flavoured leptons
vector<vector<double>> g = {{1,2},{0,2},{0,1}};
int indexToReturn = 3;
int indexValue = 100000;
int newValue = 0;
for (int i = 0; i < 3; i++) {
if (!(leptons[g[i][0]].abspid() == leptons[g[i][1]].abspid() && leptons[g[i][0]].charge() != leptons[g[i][1]].charge())) continue;
newValue = abs(((leptons[g[i][0]]).mom()+(leptons[g[i][1]]).mom()).mass()-90);
if (newValue <= indexValue) {
indexToReturn = i;
indexValue = newValue;
}
}
if (indexToReturn == 3) break;
_cutflow3lISR.fill(1);
// Requirements on jet number and forbid B-tags
double n_jets=jets.size();
if (n_jets < 1 || n_jets > 3) break;
if (any(jets, hasBTag())) break;
// Obtain the 4-momenta of leptons and implement requirements on them
vector<FourMomentum> lepton;
double M;
for (int n = 0; n < 3; ++n) {
lepton.push_back(leptons[n].mom());
M = lepton[n].mass();
lepton[n].setPz(0);
lepton[n].setE(sqrt(pow(lepton[n].px(),2)+pow(lepton[n].py(),2)+pow(M,2)));
}
if (lepton[0].pT() < 25*GeV || lepton[1].pT() < 25*GeV || lepton[2].pT() < 20*GeV) break;
// Pre-selection Cut
_cutflow3lISR.fill(2);
// Obtain the missing momentum 3-vector
Vector3 EtMiss = apply<SmearedMET>(event,"MET").vectorMissingPt();
// Requirement on m_ll
double m_ll = (leptons[g[indexToReturn][0]].mom()+leptons[g[indexToReturn][1]].mom()).mass();
if (m_ll < 75*GeV || m_ll > 105*GeV) break;
_cutflow3lISR.fill(3);
// Requirement on m_W_T
double deltaphi = deltaPhi(EtMiss,(lepton[indexToReturn]).p3());
double m_W_T = sqrt(2*((lepton[indexToReturn]).pT())*sqrt(EtMiss.dot(EtMiss))*(1-cos(deltaphi)));
if (m_W_T < 100*GeV) break;
_cutflow3lISR.fill(4);
// Obtain the missing transverse 4-momentum
FourMomentum EtMiss1;
EtMiss1.setPM(EtMiss.x(),EtMiss.y(),EtMiss.z(),sqrt(EtMiss.dot(EtMiss)));
double p_T_ISR;
double p_T_I;
double p_T;
double R_ISR;
double delta_phi;
FourMomentum ISR;
// Obtain the 4-momentum of the ISR system
vector<FourMomentum> jet;
for (int n = 0; n < n_jets; ++n) {
jet.push_back(jets[n].momentum());
M = jet[n].mass();
jet[n].setPz(0);
jet[n].setE(sqrt(pow(jet[n].px(),2)+pow(jet[n].py(),2)+pow(M,2)));
}
if (n_jets==1) {
ISR = jet[0];
} else if (n_jets==2) {
ISR = jet[0]+jet[1];
} else {
ISR = jet[0]+jet[1]+jet[2];
}
// Four Momentum of the CM System
FourMomentum CM = EtMiss1+ISR+lepton[0]+lepton[1]+lepton[2];
LorentzTransform LT = LorentzTransform::mkFrameTransform(CM);
p_T_ISR = (LT.transform(ISR)).pT();
p_T_I = (LT.transform(EtMiss1)).pT();
p_T = (CM).pT();
Vector3 p_I = (LT.transform(EtMiss1)).p3();
Vector3 p_S = (LT.transform(EtMiss1+lepton[0]+lepton[1]+lepton[2])).p3();
R_ISR = (p_S.dot(p_I))/(p_S.dot(p_S));
delta_phi = angle((LT.transform(EtMiss1)).p3(),(LT.transform(ISR)).p3());
if (delta_phi < 2.0) break;
_cutflow3lISR.fill(5);
if (R_ISR < 0.55 || R_ISR > 1.0) break;
_cutflow3lISR.fill(6);
if (p_T_ISR < 100*GeV) break;
_cutflow3lISR.fill(7);
if (p_T_I < 80*GeV) break;
_cutflow3lISR.fill(8);
if (p_T > 25*GeV) break;
_cutflow3lISR.fill(9);
break;
}
}
/// Finalise cutflow scaling etc.
void finalize() {
_cutflow2l[0].normalize(1673, 0);
_cutflow2l[1].normalize(4369, 0);
_cutflow2l[2].normalize(65247, 0);
_cutflow2lISR.normalize(65247, 0);
_cutflow3l[0].normalize(1673, 0);
_cutflow3l[1].normalize(4369, 0);
_cutflow3l[2].normalize(65247, 0);
_cutflow3lISR.normalize(65247, 0);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow2l[0]);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow2l[1]);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow2l[2]);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow2lISR);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow3l[0]);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow3l[1]);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow3l[2]);
MSG_INFO("CUTFLOWS:\n\n" << _cutflow3lISR);
}
Cutflows _cutflow2lHigh;
Cutflows _cutflow2lInt;
Cutflows _cutflow2lLow;
Cutflows _cutflow2lISR;
Cutflows _cutflow3lHigh;
Cutflows _cutflow3lInt;
Cutflows _cutflow3lLow;
Cutflows _cutflow3lISR;
vector<Cutflows> _cutflow2l={_cutflow2lHigh,_cutflow2lInt,_cutflow2lLow};
vector<Cutflows> _cutflow3l={_cutflow3lHigh,_cutflow3lInt,_cutflow3lLow};
};
RIVET_DECLARE_PLUGIN(ATLAS_2018_I1676551);
}
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