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#define qcd_cxx
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#include "qcd.h"
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#include <TH2.h>
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#include <THStack.h>
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#include <TStyle.h>
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#include <TCanvas.h>
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#include <TMath.h>
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#include <TMultiGraph.h>
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#include <TGraphErrors.h>
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#include <TCanvas.h>
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#include "Math/GSLIntegrator.h"
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#include "Math/WrappedTF1.h"
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#include <iostream>
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#include <TLegend.h>
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#include <TPaveStats.h>
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// Histo range
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double xMin = 0.0;
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double xMax = 2.0;
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// Jet bin:
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Int_t jbin = 4; // 1-3, 4 for >=4. Put in number less than 5
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double binwidth = 0.1; // 0.02,0.02,0.05,0.1
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int nbin = (xMax-xMin)/binwidth;
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// fit region weight
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double wxmin = 1.9;
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double wxmax = 0.7;
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// Specify fitting function:
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TString fitfunc = "landau"; // this version is cut for Landau
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// Select New or Old reliso:
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TString isoname = "New";
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double d0sigCut = 3.;
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void qcd::Loop()
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{
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// In a ROOT session, you can do:
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// Modify jbin, binwidth, wxmin, wxmax
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// Root > .L qcd.C++
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// Root > qcd t
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// Root > t.GetEntry(12); // Fill t data members with entry number 12
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// Root > t.Show(); // Show values of entry 12
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// Root > t.Show(16); // Read and show values of entry 16
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// Root > t.Loop(); // Loop on all entries
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TH1D *h_RelIso_ttbar = new TH1D("h_RelIso_ttbar","h_RelIso_ttbar",nbin,xMin,xMax);
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TH1D *h_RelIso_qcd = new TH1D("h_RelIso_qcd","h_RelIso_qcd",nbin,xMin,xMax);
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TH1D *h_RelIso_wjets = new TH1D("h_RelIso_wjets","h_RelIso_wjets",nbin,xMin,xMax);
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TH1D *h_RelIso_zjets = new TH1D("h_RelIso_zjets","h_RelIso_zjets",nbin,xMin,xMax);
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TH1D *h_RelIso_all = new TH1D("h_RelIso_all","h_RelIso_all",nbin,xMin,xMax);
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// define fit region:
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double AX0 = 0.;
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double AXf = 0.;
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double BX0 = 0.;
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double BXf = 0.;
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cout<<"Use "<<isoname<<" RelIso"<<endl;
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if ( isoname.Contains("Old") ) {
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// old
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AX0 = 0.95;
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AXf = 1.0;
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BX0 = 0.2;
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BXf = 0.8;
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}
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else if ( isoname.Contains("New") ) {
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// new
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AX0 = 0.0;
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AXf = 0.053;
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BX0 = 0.4;
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BXf = 2.0;
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}
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// weights
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double wttbar = 0.0101;
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double wqcd = 1.3161;
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double wwjets = 0.0977;
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double wzjets = 0.078;
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// Na = num of qcd in signal region
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double Na,Nb,Nfac;
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Na = Nb = Nfac = 0;
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double Nttbar, NWjets, NZjets, Nqcd;
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Nttbar = NWjets = NZjets = Nqcd = 0;
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double reliso = 0.0;
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if (fChain == 0) return;
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Long64_t nentries = fChain->GetEntriesFast();
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Long64_t nbytes = 0, nb = 0;
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for (Long64_t jentry=0; jentry<nentries;jentry++) {
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Long64_t ientry = LoadTree(jentry);
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if (ientry < 0) break;
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nb = fChain->GetEntry(jentry); nbytes += nb;
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// if (Cut(ientry) < 0) continue;
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bool signalRegion = false;
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bool fitRegion = false;
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TString filename(fChain->GetCurrentFile()->GetName());
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if (isoname.Contains("Old")) {
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reliso = top_muon_old_reliso[0];
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if ( reliso > AX0 ) signalRegion = true;
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else if ( reliso > BX0 && reliso < BXf ) fitRegion = true;
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}
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else if (isoname.Contains("New")) {
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reliso = top_muon_new_reliso[0];
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if ( reliso < AXf ) signalRegion = true;
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else if ( reliso > BX0 && reliso < BXf ) fitRegion = true;
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}
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else {
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cout<<"No RelIso defined!!!"<<endl;
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return;
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}
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double d0sig = TMath::Abs(top_muon_d0[0])/top_muon_d0Error[0];
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bool correctBin = false; // jet bin condition
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bool goodD0sig = false; // d0sig condition
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if ( jbin > 4 ) {cout<<"Don't mess around!!! jbin should be less than 5!"<<endl;return;}
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if (top_njets == jbin && jbin != 4) correctBin = true;
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else if (top_njets >= jbin && jbin == 4) correctBin = true;
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if ( d0sig < d0sigCut ) goodD0sig = true;
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// Jet bin
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if( correctBin && goodD0sig ) {
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if ( filename.Contains("TTJets") ) {
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h_RelIso_ttbar->Fill(reliso);
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if ( signalRegion ) { Nttbar += wttbar; }
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else if ( fitRegion ) Nfac += wttbar;
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}
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if ( filename.Contains("MuPt15") ) {
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h_RelIso_qcd->Fill(reliso);
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if ( signalRegion ) { Na += wqcd; Nqcd+= wqcd; } // QCD in signal region
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else if ( fitRegion ) {
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Nb += wqcd; // QCD in fitted background region
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Nfac += wqcd;
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}
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}
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if ( filename.Contains("WJets") ) {
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h_RelIso_wjets->Fill(reliso);
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if ( signalRegion ) { NWjets += wwjets; }
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else if ( fitRegion ) Nfac += wwjets;
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}
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if ( filename.Contains("ZJets") ) {
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h_RelIso_zjets->Fill(reliso);
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if ( signalRegion ) { NZjets += wzjets; }
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else if ( fitRegion ) Nfac += wzjets;
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}
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}
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}
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cout << "\n";
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cout << " Nb = " << Nb << "; Nfac = " << Nfac << endl << endl;
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cout << " N ttbar = " << Nttbar << endl;
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cout << " N qcd = " << Nqcd << endl;
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cout << " N Wjets = " << NWjets << endl;
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cout << " N Zjets = " << NZjets << endl << endl;
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gStyle->SetOptFit(01111);
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TCanvas *cv1 = new TCanvas("cv1","cv1",800,600);
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THStack *hs = new THStack("hs","RelIso (stacked)");
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// Take care of scaling
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h_RelIso_qcd->Scale(wqcd);
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h_RelIso_wjets->Scale(wwjets);
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h_RelIso_zjets->Scale(wzjets);
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h_RelIso_ttbar->Scale(wttbar);
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h_RelIso_qcd->SetXTitle("Combined Relative Isolation");
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h_RelIso_qcd->SetLineColor(40);
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h_RelIso_qcd->SetFillStyle(3018);
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h_RelIso_qcd->SetFillColor(38);
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hs->Add(h_RelIso_qcd);
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h_RelIso_wjets->SetMarkerColor(4);
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h_RelIso_wjets->SetLineColor(4);
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h_RelIso_wjets->SetFillColor(4);
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hs->Add(h_RelIso_wjets);
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h_RelIso_zjets->SetMarkerColor(5);
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h_RelIso_zjets->SetLineColor(5);
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h_RelIso_zjets->SetFillColor(5);
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hs->Add(h_RelIso_zjets);
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h_RelIso_ttbar->SetMarkerColor(2);
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h_RelIso_ttbar->SetLineColor(2);
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h_RelIso_ttbar->SetFillColor(2);
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hs->Add(h_RelIso_ttbar);
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hs->Draw();
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// Label histo
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TLegend * leg0 = new TLegend(0.3,0.3,0.6,0.55);
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leg0->AddEntry(h_RelIso_ttbar,"t#bar{t}");
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leg0->AddEntry(h_RelIso_qcd,"QCD (MuPt15) ");
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leg0->AddEntry(h_RelIso_wjets,"W+jets");
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leg0->AddEntry(h_RelIso_zjets,"Z+jets");
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leg0->Draw();
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h_RelIso_all->Add(h_RelIso_ttbar,1.);
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h_RelIso_all->Add(h_RelIso_qcd,1.);
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h_RelIso_all->Add(h_RelIso_wjets,1.);
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h_RelIso_all->Add(h_RelIso_zjets,1.);
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h_RelIso_all->SetLineWidth(2);
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if( jbin == 4)
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h_RelIso_all->SetTitle( isoname+" RelIso distribution (#geq 4 jets)");
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else if ( jbin < 4 ) {
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TString title = isoname+" RelIso distribution (";
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title += jbin;
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title += " jets)";
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h_RelIso_all->SetTitle(title);
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}
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else {
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cout<<"Don't mess around!!! jbin should be less than 5!"<<endl;
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return;
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}
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h_RelIso_all->SetMinimum(0);
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// Save for later use
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TFile *file0 = new TFile("extpQCDbin4.root","RECREATE");
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file0->mkdir("histos");
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file0->cd("histos");
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h_RelIso_all->Write();
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h_RelIso_ttbar->Write();
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h_RelIso_qcd->Write();
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h_RelIso_wjets->Write();
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h_RelIso_zjets->Write();
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file0->Write();
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file0->Close();
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// Fitting here:
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FitBKG(fitfunc,h_RelIso_all,h_RelIso_qcd,AX0,AXf,BX0,BXf,Na);
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}
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void qcd::FitBKG(TString s0,TH1D *h0,TH1D *h1,
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double ax0,double axf,double bx0,double bxf,double na) {
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int niter = 1;
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double pass[3] = {0.,0.,0.};
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double ns, ns2;
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ns = ns2 = 0.;
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TCanvas *cvf = new TCanvas("cvf","cvf",800,600);
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// Fit QCD in background region
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cout<<"Fitting with "<<s0<<" function!"<<endl;
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TH1D *h_all = (TH1D*)h0->Clone();
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TH1D *h_qcd = (TH1D*)h1->Clone();
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h_all->Draw();
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cout << "\n>>>>> Iteration step: "<< niter << endl;
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h_all->Fit(s0,"0","",bx0,bxf);
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// Very first fit function
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TF1 *f0 = (TF1*)h_all->GetFunction(s0);
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Int_t npar = f0->GetNpar();
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Double_t chi2 = f0->GetChisquare();
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Int_t ndof = f0->GetNDF();
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pass[0] = chi2/ndof;
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pass[1] = pass[0];
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cout << ">> Norm chi2 = " << pass[0] << endl;
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bx0 = f0->GetParameter(1) - wxmin*f0->GetParameter(2);
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bxf = f0->GetParameter(1) + wxmax*f0->GetParameter(2);
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double * par0 = new double [npar];
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double * parErr0 = new double [npar];
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double delta = pass[1]-pass[2];
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while (niter <= 20 && abs(pass[1]-pass[2]) > 0.00001) {
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if (niter > 1)
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pass[1]=pass[2];
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if (delta >= 0){
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niter++;
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cout << "\n>>>>> Iteration step: "<< niter << endl;
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cout << ">> Pass[1] = " << pass[1] << endl;
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h_all->Fit(s0,"0","",bx0,bxf);
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TF1 *fi = (TF1*)h_all->GetFunction(s0);
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pass[2] = fi->GetChisquare()/fi->GetNDF();
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cout << ">> Norm chi2 = pass[2] = " << pass[2] << endl;
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delta = pass[1]-pass[2];
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cout << ">> Delta = " << delta << endl;
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if (delta >= 0) {
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printf("Function has %i parameters. Chisquare = %g\n",
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| 283 |
npar,
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fi->GetChisquare());
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| 285 |
for (Int_t i=0;i<npar;i++) {
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| 286 |
printf("%s = %g +- %g\n",
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fi->GetParName(i),
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fi->GetParameter(i),
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fi->GetParError(i)
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);
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par0[i] = fi->GetParameter(i);
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parErr0[i] = fi->GetParError(i);
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// cout<<"Par["<<i<<"]="<<par0[i]<<"; Error="<<parErr0[i]<<endl;
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}
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| 295 |
bx0 = fi->GetParameter(1) - wxmin*fi->GetParameter(2);
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| 296 |
bxf = fi->GetParameter(1) + wxmax*fi->GetParameter(2);
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| 297 |
cout << ">> bx0, bxf = " << bx0 << ", " << bxf << endl;
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}
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| 299 |
else {
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cout << ">> Use previous fit!" << endl;
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| 301 |
}
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}
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| 303 |
}
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| 304 |
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| 305 |
cout << ">>> Final fitting resion (bx0, bxf) = " << bx0 << ", " << bxf << endl;
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| 306 |
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| 307 |
// Get number of events within fitted region
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| 308 |
TAxis *axis = h_all->GetXaxis();
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| 309 |
int bmin = axis->FindBin(bx0);
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| 310 |
int bmax = axis->FindBin(bxf);
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| 311 |
double nfac1 = h_all->Integral(bmin,bmax);
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| 312 |
nfac1 -= (h_all->GetBinContent(bmin))*(bx0-axis->GetBinLowEdge(bmin))/axis->GetBinWidth(bmin);
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| 313 |
nfac1 -= (h_all->GetBinContent(bmax))*(axis->GetBinUpEdge(bmax)-bxf)/axis->GetBinWidth(bmax);
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| 314 |
cout << ">>> Final Nfac = " << nfac1 << endl;
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| 315 |
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| 316 |
// ////////////////////////
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| 317 |
// Histos and extrapolation
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| 318 |
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| 319 |
TF1 *f1 = (TF1*)f0->Clone();
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| 320 |
f1->SetRange(bx0,bxf);
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| 321 |
for (int i=0;i<npar;i++) {
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| 322 |
cout<<" >> Par["<<i<<"]="<<par0[i]<<"; Error="<<parErr0[i]<<endl;
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| 323 |
f1->SetParameter(i,par0[i]);
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| 324 |
}
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| 325 |
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| 326 |
f1->SetLineColor(2);
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| 327 |
h_qcd->SetLineColor(40);
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| 328 |
h_qcd->SetFillStyle(3018);
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| 329 |
h_qcd->SetFillColor(38);
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| 330 |
h_qcd->Draw("same");
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| 331 |
f1->Draw("same");
|
| 332 |
|
| 333 |
// Connect fitted and extrapolated region
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| 334 |
TF1 *fin = (TF1*)f1->Clone();
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| 335 |
fin->SetRange(axf,bx0);
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| 336 |
fin->SetLineStyle(2);
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| 337 |
fin->SetLineColor(8);
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| 338 |
fin->Draw("same");
|
| 339 |
|
| 340 |
TF1 *f2 = (TF1*)f1->Clone();
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| 341 |
f2->SetRange(ax0,axf);
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| 342 |
f2->SetLineColor(4);
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| 343 |
f2->Draw("same");
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| 344 |
int np = 100;
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| 345 |
double *x=new double[np];
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| 346 |
double *w=new double[np];
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| 347 |
f2->CalcGaussLegendreSamplingPoints(np,x,w,1e-15);
|
| 348 |
ns = f2->IntegralFast(np,x,w,ax0,axf);
|
| 349 |
ns/=(f2->Integral(bx0,bxf));
|
| 350 |
ns*=nfac1;
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| 351 |
cout<<">>> Ns by usual integral = "<<ns<<endl;
|
| 352 |
delete [] x;
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| 353 |
delete [] w;
|
| 354 |
|
| 355 |
// Another way to do integration
|
| 356 |
TF1 *g = (TF1*)f1->Clone();
|
| 357 |
ROOT::Math::GSLIntegrator ig(1.E-8,1.E-8,1000);
|
| 358 |
ROOT::Math::WrappedTF1 wf(*g);
|
| 359 |
ig.SetFunction(wf);
|
| 360 |
ns2 = ig.Integral(ax0,axf);
|
| 361 |
ns2/=(g->Integral(bx0,bxf));
|
| 362 |
ns2*=nfac1;
|
| 363 |
cout<<">>> Ns by MathMore integral = "<<ns2<<endl;
|
| 364 |
|
| 365 |
cvf->Update();
|
| 366 |
|
| 367 |
TPaveStats *p1 = (TPaveStats*)h_all->GetListOfFunctions()->FindObject("stats");
|
| 368 |
p1->SetTextColor(kBlue);
|
| 369 |
p1->SetX1NDC(0.6);
|
| 370 |
p1->SetX2NDC(0.88);
|
| 371 |
p1->SetY1NDC(0.62);
|
| 372 |
p1->SetY2NDC(0.88);
|
| 373 |
p1->Draw();
|
| 374 |
|
| 375 |
// Label histo
|
| 376 |
TLegend * leg1 = new TLegend(0.3,0.15,0.68,0.45);
|
| 377 |
// leg1->SetHeader("Fit with "+fitfunc);
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| 378 |
leg1->AddEntry(h_all,"All events (S+B)");
|
| 379 |
leg1->AddEntry(h_qcd,"QCD events");
|
| 380 |
leg1->AddEntry(f1,"Fit of all events in control region");
|
| 381 |
leg1->AddEntry(f2,"Extrapolation to signal region");
|
| 382 |
leg1->Draw();
|
| 383 |
// Print results
|
| 384 |
cout << ">>>>> Observed Ns = " << ns;
|
| 385 |
cout <<"\n";
|
| 386 |
cout << ">>>>> Expected Na = " << na << endl;
|
| 387 |
}
|
