| 1 |
jengbou |
1.1 |
#include <vector>
|
| 2 |
|
|
using namespace std;
|
| 3 |
|
|
#include <TROOT.h>
|
| 4 |
|
|
#include <TChain.h>
|
| 5 |
|
|
#include <TFile.h>
|
| 6 |
|
|
#include <TTree.h>
|
| 7 |
|
|
#include <TH1.h>
|
| 8 |
|
|
#include <TH2.h>
|
| 9 |
|
|
#include <THStack.h>
|
| 10 |
|
|
#include <TStyle.h>
|
| 11 |
|
|
#include <TCanvas.h>
|
| 12 |
|
|
#include <TMath.h>
|
| 13 |
|
|
#include <TMultiGraph.h>
|
| 14 |
|
|
#include <TGraphErrors.h>
|
| 15 |
|
|
#include <TLegend.h>
|
| 16 |
|
|
#include <TPaveStats.h>
|
| 17 |
|
|
#include "Math/GSLIntegrator.h"
|
| 18 |
|
|
#include "Math/WrappedTF1.h"
|
| 19 |
|
|
|
| 20 |
|
|
TString fileName = "QCDbin4.root";
|
| 21 |
|
|
// Histo range
|
| 22 |
|
|
double xMin = 0.0;
|
| 23 |
|
|
double xMax = 2.0;
|
| 24 |
|
|
// fit region weight
|
| 25 |
|
|
double wxmin = 2.1;
|
| 26 |
|
|
double wxmax = 0.8;
|
| 27 |
|
|
// Select fitting function:
|
| 28 |
|
|
TString s0 = "landau";
|
| 29 |
|
|
// Select New or Old reliso:
|
| 30 |
|
|
TString isoname = "New";
|
| 31 |
|
|
|
| 32 |
|
|
void fitLandau()
|
| 33 |
|
|
{
|
| 34 |
|
|
gStyle->SetOptFit(01111);
|
| 35 |
|
|
|
| 36 |
|
|
TFile *file = TFile::Open(fileName);
|
| 37 |
|
|
TTree *tree = (TTree*)file->Get("myTree");
|
| 38 |
|
|
TH1D *h0 = (TH1D*)file->Get("histos/h_RelIso_all");
|
| 39 |
|
|
TH1D *h1 = (TH1D*)file->Get("histos/h_RelIso_qcd");
|
| 40 |
|
|
Int_t jbin;
|
| 41 |
|
|
Double_t na;
|
| 42 |
|
|
tree->SetBranchAddress("jbin",&jbin);
|
| 43 |
|
|
tree->SetBranchAddress("na",&na);
|
| 44 |
|
|
// Int_t nentries = (Int_t)tree->GetEntries();
|
| 45 |
|
|
tree->GetEntry(0);
|
| 46 |
|
|
// define fit region:
|
| 47 |
|
|
double ax0 = 0.;
|
| 48 |
|
|
double axf = 0.;
|
| 49 |
|
|
double bx0= 0.;
|
| 50 |
|
|
double bxf = 0.;
|
| 51 |
|
|
|
| 52 |
|
|
cout<<"Use "<<isoname<<" RelIso"<<endl;
|
| 53 |
|
|
|
| 54 |
|
|
if ( isoname.Contains("Old") ) {
|
| 55 |
|
|
// old
|
| 56 |
|
|
ax0 = 0.95;
|
| 57 |
|
|
axf = 1.0;
|
| 58 |
|
|
bx0 = 0.2;
|
| 59 |
|
|
bxf = 0.8;
|
| 60 |
|
|
}
|
| 61 |
|
|
else if ( isoname.Contains("New") ) {
|
| 62 |
|
|
// new
|
| 63 |
|
|
ax0 = 0.0;
|
| 64 |
|
|
axf = 0.053;
|
| 65 |
|
|
bx0 = 0.4;
|
| 66 |
|
|
bxf = 2.0;
|
| 67 |
|
|
}
|
| 68 |
|
|
|
| 69 |
|
|
int niter = 1;
|
| 70 |
|
|
double pass[3] = {0.,0.,0.};
|
| 71 |
|
|
double ns, ns2;
|
| 72 |
|
|
ns = ns2 = 0.;
|
| 73 |
|
|
|
| 74 |
|
|
TCanvas *cv = new TCanvas("cv","cv",800,600);
|
| 75 |
|
|
|
| 76 |
|
|
// Fit QCD in background region
|
| 77 |
|
|
cout<<"Fitting with "<<s0<<" function!"<<endl;
|
| 78 |
|
|
TH1D *h_all = (TH1D*)h0->Clone();
|
| 79 |
|
|
TH1D *h_qcd = (TH1D*)h1->Clone();
|
| 80 |
|
|
h_all->SetLineWidth(2);
|
| 81 |
|
|
h_all->SetMinimum(0);
|
| 82 |
|
|
if( jbin == 4)
|
| 83 |
|
|
h_all->SetTitle(isoname+" RelIso distribution (#geq 4 jets)");
|
| 84 |
|
|
else if ( jbin < 4 ) {
|
| 85 |
|
|
TString title = isoname+" RelIso distribution (";
|
| 86 |
|
|
title += jbin;
|
| 87 |
|
|
title += " jets)";
|
| 88 |
|
|
h_all->SetTitle(title);
|
| 89 |
|
|
}
|
| 90 |
|
|
else{
|
| 91 |
|
|
cout << "Wrong bin number!" << endl;
|
| 92 |
|
|
}
|
| 93 |
|
|
h_all->Draw();
|
| 94 |
|
|
|
| 95 |
|
|
cout << "\n>>>>> Iteration step: "<< niter << endl;
|
| 96 |
|
|
h_all->Fit(s0,"0","",bx0,bxf);
|
| 97 |
|
|
|
| 98 |
|
|
// Very first fit function
|
| 99 |
|
|
TF1 *f0 = (TF1*)h_all->GetFunction(s0);
|
| 100 |
|
|
Int_t npar = f0->GetNpar();
|
| 101 |
|
|
Double_t chi2 = f0->GetChisquare();
|
| 102 |
|
|
Int_t ndof = f0->GetNDF();
|
| 103 |
|
|
pass[0] = chi2/ndof;
|
| 104 |
|
|
pass[1] = pass[0];
|
| 105 |
|
|
cout << ">> Norm chi2 = " << pass[0] << endl;
|
| 106 |
|
|
|
| 107 |
|
|
bx0 = f0->GetParameter(1) - wxmin*f0->GetParameter(2);
|
| 108 |
|
|
bxf = f0->GetParameter(1) + wxmax*f0->GetParameter(2);
|
| 109 |
|
|
|
| 110 |
|
|
double * par0 = new double [npar];
|
| 111 |
|
|
double * parErr0 = new double [npar];
|
| 112 |
|
|
|
| 113 |
|
|
double delta = pass[1]-pass[2];
|
| 114 |
|
|
|
| 115 |
|
|
while (niter <= 20 && abs(pass[1]-pass[2]) > 0.00001) {
|
| 116 |
|
|
if (niter > 1)
|
| 117 |
|
|
pass[1]=pass[2];
|
| 118 |
|
|
if (delta >= 0){
|
| 119 |
|
|
niter++;
|
| 120 |
|
|
cout << "\n>>>>> Iteration step: "<< niter << endl;
|
| 121 |
|
|
cout << ">> Pass[1] = " << pass[1] << endl;
|
| 122 |
|
|
|
| 123 |
|
|
h_all->Fit(s0,"0","",bx0,bxf);
|
| 124 |
|
|
TF1 *fi = (TF1*)h_all->GetFunction(s0);
|
| 125 |
|
|
pass[2] = fi->GetChisquare()/fi->GetNDF();
|
| 126 |
|
|
cout << ">> Norm chi2 = pass[2] = " << pass[2] << endl;
|
| 127 |
|
|
delta = pass[1]-pass[2];
|
| 128 |
|
|
cout << ">> Delta = " << delta << endl;
|
| 129 |
|
|
|
| 130 |
|
|
if (delta >= 0) {
|
| 131 |
|
|
printf("Function has %i parameters. Chisquare = %g\n",
|
| 132 |
|
|
npar,
|
| 133 |
|
|
fi->GetChisquare());
|
| 134 |
|
|
for (Int_t i=0;i<npar;i++) {
|
| 135 |
|
|
printf("%s = %g +- %g\n",
|
| 136 |
|
|
fi->GetParName(i),
|
| 137 |
|
|
fi->GetParameter(i),
|
| 138 |
|
|
fi->GetParError(i)
|
| 139 |
|
|
);
|
| 140 |
|
|
par0[i] = fi->GetParameter(i);
|
| 141 |
|
|
parErr0[i] = fi->GetParError(i);
|
| 142 |
|
|
// cout<<"Par["<<i<<"]="<<par0[i]<<"; Error="<<parErr0[i]<<endl;
|
| 143 |
|
|
}
|
| 144 |
|
|
bx0 = fi->GetParameter(1) - wxmin*fi->GetParameter(2);
|
| 145 |
|
|
bxf = fi->GetParameter(1) + wxmax*fi->GetParameter(2);
|
| 146 |
|
|
cout << ">> bx0, bxf = " << bx0 << ", " << bxf << endl;
|
| 147 |
|
|
}
|
| 148 |
|
|
else {
|
| 149 |
|
|
cout << ">> Use previous fit!" << endl;
|
| 150 |
|
|
}
|
| 151 |
|
|
}
|
| 152 |
|
|
}
|
| 153 |
|
|
|
| 154 |
|
|
cout << ">>> Final fitting resion (bx0, bxf) = " << bx0 << ", " << bxf << endl;
|
| 155 |
|
|
|
| 156 |
|
|
// Get number of events within fitted region
|
| 157 |
|
|
TAxis *axis = h_all->GetXaxis();
|
| 158 |
|
|
int bmin = axis->FindBin(bx0);
|
| 159 |
|
|
int bmax = axis->FindBin(bxf);
|
| 160 |
|
|
double nfac1 = h_all->Integral(bmin,bmax);
|
| 161 |
|
|
nfac1 -= (h_all->GetBinContent(bmin))*(bx0-axis->GetBinLowEdge(bmin))/axis->GetBinWidth(bmin);
|
| 162 |
|
|
nfac1 -= (h_all->GetBinContent(bmax))*(axis->GetBinUpEdge(bmax)-bxf)/axis->GetBinWidth(bmax);
|
| 163 |
|
|
cout << ">>> Final Nfac = " << nfac1 << endl;
|
| 164 |
|
|
|
| 165 |
|
|
// ////////////////////////
|
| 166 |
|
|
// Histos and extrapolation
|
| 167 |
|
|
|
| 168 |
|
|
TF1 *f1 = (TF1*)f0->Clone();
|
| 169 |
|
|
f1->SetRange(bx0,bxf);
|
| 170 |
|
|
for (int i=0;i<npar;i++) {
|
| 171 |
|
|
cout<<" >> Par["<<i<<"]="<<par0[i]<<"; Error="<<parErr0[i]<<endl;
|
| 172 |
|
|
f1->SetParameter(i,par0[i]);
|
| 173 |
|
|
}
|
| 174 |
|
|
|
| 175 |
|
|
f1->SetLineColor(2);
|
| 176 |
|
|
h_qcd->SetLineColor(40);
|
| 177 |
|
|
h_qcd->SetFillStyle(3018);
|
| 178 |
|
|
h_qcd->SetFillColor(38);
|
| 179 |
|
|
h_qcd->Draw("same");
|
| 180 |
|
|
f1->Draw("same");
|
| 181 |
|
|
|
| 182 |
|
|
// Connect fitted and extrapolated region
|
| 183 |
|
|
TF1 *fin = (TF1*)f1->Clone();
|
| 184 |
|
|
fin->SetRange(axf,bx0);
|
| 185 |
|
|
fin->SetLineStyle(2);
|
| 186 |
|
|
fin->SetLineColor(8);
|
| 187 |
|
|
fin->Draw("same");
|
| 188 |
|
|
|
| 189 |
|
|
TF1 *f2 = (TF1*)f1->Clone();
|
| 190 |
|
|
f2->SetRange(ax0,axf);
|
| 191 |
|
|
f2->SetLineColor(4);
|
| 192 |
|
|
f2->Draw("same");
|
| 193 |
|
|
int np = 100;
|
| 194 |
|
|
double *x=new double[np];
|
| 195 |
|
|
double *w=new double[np];
|
| 196 |
|
|
f2->CalcGaussLegendreSamplingPoints(np,x,w,1e-15);
|
| 197 |
|
|
ns = f2->IntegralFast(np,x,w,ax0,axf);
|
| 198 |
|
|
ns/=(f2->Integral(bx0,bxf));
|
| 199 |
|
|
ns*=nfac1;
|
| 200 |
|
|
cout<<">>> Ns by usual integral = "<<ns<<endl;
|
| 201 |
|
|
delete [] x;
|
| 202 |
|
|
delete [] w;
|
| 203 |
|
|
|
| 204 |
|
|
// Another way to do integration
|
| 205 |
|
|
TF1 *g = (TF1*)f1->Clone();
|
| 206 |
|
|
ROOT::Math::GSLIntegrator ig(1.E-8,1.E-8,1000);
|
| 207 |
|
|
ROOT::Math::WrappedTF1 wf(*g);
|
| 208 |
|
|
ig.SetFunction(wf);
|
| 209 |
|
|
ns2 = ig.Integral(ax0,axf);
|
| 210 |
|
|
ns2/=(g->Integral(bx0,bxf));
|
| 211 |
|
|
ns2*=nfac1;
|
| 212 |
|
|
cout<<">>> Ns by MathMore integral = "<<ns2<<endl;
|
| 213 |
|
|
|
| 214 |
|
|
cv->Update();
|
| 215 |
|
|
|
| 216 |
|
|
TPaveStats *p1 = (TPaveStats*)h_all->GetListOfFunctions()->FindObject("stats");
|
| 217 |
|
|
p1->SetTextColor(kBlue);
|
| 218 |
|
|
p1->SetX1NDC(0.6);
|
| 219 |
|
|
p1->SetX2NDC(0.88);
|
| 220 |
|
|
p1->SetY1NDC(0.62);
|
| 221 |
|
|
p1->SetY2NDC(0.88);
|
| 222 |
|
|
p1->Draw();
|
| 223 |
|
|
|
| 224 |
|
|
// Label histo
|
| 225 |
|
|
TLegend * leg1 = new TLegend(0.3,0.15,0.68,0.45);
|
| 226 |
|
|
leg1->AddEntry(h_all,"All events (S+B)");
|
| 227 |
|
|
leg1->AddEntry(h_qcd,"QCD events");
|
| 228 |
|
|
leg1->AddEntry(f1,"Fit of all events in control region");
|
| 229 |
|
|
leg1->AddEntry(f2,"Extrapolation to signal region");
|
| 230 |
|
|
leg1->Draw();
|
| 231 |
|
|
// Print results
|
| 232 |
|
|
cout << "\n";
|
| 233 |
|
|
cout << ">>>>> Jet bin " << jbin << ":" << endl;
|
| 234 |
|
|
cout << ">>>>> Observed Ns = " << ns << endl;
|
| 235 |
|
|
cout << ">>>>> Expected Na = " << na << endl;
|
| 236 |
|
|
cout << "Deviation = " << (ns-na)/na*100.0 << " %" <<endl;
|
| 237 |
|
|
|
| 238 |
|
|
}
|
