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R2GGBBBiasStudy_2D.cc
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R2GGBBBiasStudy_2D.cc
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#include <cstring>
#include <cerrno>
#include <iostream>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <string>
#include <stdexcept>
#include <algorithm>
#include <unistd.h>
#include <errno.h>
#include <iomanip>
// ROOT headers
#include "TCanvas.h"
#include "TAxis.h"
#include "TH1F.h"
#include "TH2F.h"
#include "TF1.h"
#include "TFile.h"
#include "TTree.h"
#include "TIterator.h"
#include "TLatex.h"
#include "TString.h"
#include "TLegend.h"
#include "TGraphAsymmErrors.h"
#include "TFitResult.h"
// RooFit headers
#include "RooAbsPdf.h"
#include "RooDataHist.h"
#include "RooDataSet.h"
#include "RooHistPdf.h"
#include "RooMsgService.h"
#include "RooNLLVar.h"
#include "RooPlot.h"
#include "RooRandom.h"
#include "RooRealVar.h"
#include "RooWorkspace.h"
#include "TStyle.h"
// RooStats headers
#include "RooStats/HLFactory.h"
#include "RooStats/RooStatsUtils.h"
#include "RooAbsPdf.h"
#include "RooAddPdf.h"
#include "RooProdPdf.h"
#include "RooAbsData.h"
#include "RooPlot.h"
#include "RooGaussian.h"
#include "RooProduct.h"
#include "RooExtendPdf.h"
#include "RooBernstein.h"
#include "RooExponential.h"
#include "RooLandau.h"
#include "RooGenericPdf.h"
#include "RooMCStudy.h"
#include "RooFitResult.h"
#include "RooMinimizer.h"
#include "RooCmdArg.h"
#include "RooConstVar.h"
#include "RooRealVar.h"
#include "RooChi2MCSModule.h"
#include "HiggsCSandWidth.h"
using namespace RooFit;
using namespace RooStats ;
Int_t NCAT;
TString inDir;
Int_t resMass;
bool withCorr;
void AddBkgData(RooWorkspace*, int);
void AddSigData(RooWorkspace*, int);
void SigModelFit(RooWorkspace*, int);
RooAbsPdf* BkgMggModelFit(RooWorkspace*, int, int);
RooAbsPdf* BkgMjjModelFit(RooWorkspace*, int, int);
void BkgModelBias(RooWorkspace*,int,RooAbsPdf*,RooAbsPdf*,FILE*,FILE*);
void SetParamNames(RooWorkspace*);
void SetConstantParams(const RooArgSet* params);
Double_t effSigma(TH1 *hist);
void style();
RooArgSet* defineVariables()
{
// define variables of the input ntuple
RooRealVar* mJJ = new RooRealVar("mjj","M(jj)",60,180,"GeV");
RooRealVar* mGG = new RooRealVar("mgg","M(#gamma#gamma)",100,180,"GeV");
RooRealVar* mRad = new RooRealVar("mtot","M(#gamma#gamma jj)",0,1500,"GeV");
RooRealVar* wei = new RooRealVar("evWeight","event weight",0,100,"");
RooCategory* bJetTagCategory = new RooCategory("cut_based_ct","event category 4") ;
bJetTagCategory->defineType("cat0",0);
bJetTagCategory->defineType("cat1",1);
bJetTagCategory->defineType("cat2",2);
bJetTagCategory->defineType("cat3",3);
RooArgSet* ntplVars = new RooArgSet(*mGG,*mJJ,*mRad,*bJetTagCategory, *wei);
return ntplVars;
}
void runfits(int cat=0, int modelNumMgg=0, int modelNumMjj=0, int inDirNum=0)
{
//create truth models
RooAbsPdf *MggBkgTruth=0;
RooAbsPdf *MjjBkgTruth=0;
style();
//TString card_name("hgghbb_models_Pol_8TeV.rs");
TString card_name("models_2D.rs");
HLFactory hlf("HLFactory", card_name, false);
RooWorkspace* w = hlf.GetWs();
AddBkgData(w,cat);
AddSigData(w,cat);
SigModelFit(w, cat);
FILE *fout = fopen("resultsBias2D.txt","a");
FILE *foutCorr = fopen("resultsCorr2D.txt","a");
//if(modelNumMgg==0 && modelNumMjj ==0) fprintf(fout,"%s\n\n",inDir.Data());
if(modelNumMgg==2 || modelNumMjj==2) return;//skip Landau, it sucks.
if(modelNumMgg==3 || modelNumMjj==3) return;//skip Laurent, it sucks.
if(withCorr && modelNumMgg==0 ) return; //skip Ber for mgg correlation
MggBkgTruth = BkgMggModelFit(w,cat,modelNumMgg); //Ber, Exp, Lan, Lau, Pow
MjjBkgTruth = BkgMjjModelFit(w,cat,modelNumMjj); //Ber, Exp, Lan, Lau, Pow
BkgModelBias(w,cat,MggBkgTruth,MjjBkgTruth,fout,foutCorr);
//if(modelNumMgg==4 && modelNumMjj==4) fprintf(fout,"\n\n");
fclose(fout);
fclose(foutCorr);
return;
}
void AddBkgData(RooWorkspace* w, int cat) {
Int_t ncat = NCAT;
// common preselection cut
TString mainCut("1");
//TString mainCut("mRad>200 && mRad<700 && mJJ>90 && mJJ<170");
//if(cat==0) mainCut = "60<mJJ && mJJ<180";
//else if(cat==1) mainCut = "85<mJJ && mJJ<155 && mRad>225 && mRad<290";
//else if(cat==2) mainCut = "85<mJJ && mJJ<155 && mRad>225 && mRad<290";
//****************************//
// Signal Data Set
//****************************//
// Variables
RooArgSet* ntplVars = defineVariables();
//****************************//
// CMS Data Set
//****************************//
// retrieve the data tree;
// no common preselection cut applied yet;
TFile dataFile(TString::Format("%sDataCS_m%d.root",inDir.Data(),resMass));
//TFile dataFile(TString::Format("mcSum_m%d.root",resMass));
TTree* dataTree = (TTree*) dataFile.Get("TCVARS");
RooDataSet Data("Data","dataset",dataTree,*ntplVars,"","evWeight");
// apply a common preselection cut;
// split into NCAT categories;
RooDataSet* dataToFit[9];
for (int c = 0; c < ncat; ++c) {
// Real data
dataToFit[c] = (RooDataSet*) Data.reduce(RooArgList(*w->var("mgg"),*w->var("mjj")),mainCut+TString::Format(" && cut_based_ct==%d",c));
w->import(*dataToFit[c],Rename(TString::Format("Data_cat%d",c)));
}
// Create full data set without categorization
RooDataSet* data = (RooDataSet*) Data.reduce(RooArgList(*w->var("mgg"),*w->var("mjj")),mainCut);
w->import(*data, Rename("Data"));
data->Print("v");
}
void AddSigData(RooWorkspace* w, int cat) {
const Int_t ncat = NCAT;
RooArgSet* ntplVars = defineVariables();
TFile* sigFile;
if (resMass==0)
sigFile = new TFile(TString::Format("%sggHH_Lam_1d0_Yt_1d0_c2_0d0_8TeV_m0.root",inDir.Data()));
else
sigFile = new TFile(TString::Format("%sRadion_m%d_8TeV_m%d.root",inDir.Data(),resMass,resMass));
TTree* sigTree = (TTree*) sigFile->Get("TCVARS");
// common preselection cut
TString mainCut("1");
RooDataSet sigScaled(
"sigScaled",
"dataset",
sigTree,
*ntplVars,
mainCut,
"evWeight");
RooDataSet* sigToFit[ncat];
TString cut0 = " && 1>0";
//
// we take only mtot to fit to the workspace, we include the cuts
for ( int i=0; i<ncat; ++i){
sigToFit[i] = (RooDataSet*) sigScaled.reduce(
RooArgList(*w->var("mgg"),*w->var("mjj")),
mainCut+TString::Format(" && cut_based_ct==%d ",i)+cut0);
w->import(*sigToFit[i],Rename(TString::Format("Sig_cat%d",i)));
}
// Create full signal data set without categorization
RooDataSet* sigToFitAll = (RooDataSet*) sigScaled.reduce(
RooArgList(*w->var("mgg"),*w->var("mjj")),
mainCut);
w->import(*sigToFitAll,Rename("Sig"));
sigFile->Close();
return;
} // end add signal function
void SigModelFit(RooWorkspace* w, int cat) {
const Int_t ncat = NCAT;
float MASS=125.03;
//******************************************//
// Fit signal with model pdfs
//******************************************//
// four categories to fit
RooDataSet* sigToFit[ncat];
RooAbsPdf* mggSig[ncat];
RooAbsPdf* mjjSig[ncat];
RooProdPdf* SigPdf[ncat];
// fit range
Float_t minSigFitMgg(115),maxSigFitMgg(135);
Float_t minSigFitMjj(60),maxSigFitMjj(180);
RooRealVar* mgg = w->var("mgg");
RooRealVar* mjj = w->var("mjj");
mgg->setRange("SigFitRange",minSigFitMgg,maxSigFitMgg);
mjj->setRange("SigFitRange",minSigFitMjj,maxSigFitMjj);
for (int c = 0; c < ncat; ++c) {
// import sig and data from workspace
sigToFit[c] = (RooDataSet*) w->data(TString::Format("Sig_cat%d",c));
mggSig[c] = (RooAbsPdf*) w->pdf(TString::Format("mggSig_cat%d",c));
mjjSig[c] = (RooAbsPdf*) w->pdf(TString::Format("mjjSig_cat%d",c));
SigPdf[c] = new RooProdPdf(TString::Format("SigPdf_cat%d",c),"",RooArgSet(*mggSig[c], *mjjSig[c]));
((RooRealVar*) w->var(TString::Format("mgg_sig_m0_cat%d",c)))->setVal(MASS);
//RooRealVar* peak = w->var(TString::Format("mgg_sig_m0_cat%d",c));
//peak->setVal(MASS);
SigPdf[c]->fitTo(*sigToFit[c],Range("SigFitRange"),SumW2Error(kTRUE));
double mPeak = ((RooRealVar*) w->var(TString::Format("mgg_sig_m0_cat%d",c)))->getVal()+(MASS-125.0); // shift the peak
((RooRealVar*) w->var(TString::Format("mgg_sig_m0_cat%d",c)))->setVal(mPeak); // shift the peak
// IMPORTANT: fix all pdf parameters to constant, why?
RooArgSet sigParams( *w->var(TString::Format("mgg_sig_m0_cat%d",c)),
*w->var(TString::Format("mgg_sig_sigma_cat%d",c)),
*w->var(TString::Format("mgg_sig_alpha_cat%d",c)),
*w->var(TString::Format("mgg_sig_n_cat%d",c)),
*w->var(TString::Format("mgg_sig_gsigma_cat%d",c)),
*w->var(TString::Format("mgg_sig_frac_cat%d",c)));
sigParams.add(RooArgSet(
*w->var(TString::Format("mjj_sig_m0_cat%d",c)),
*w->var(TString::Format("mjj_sig_sigma_cat%d",c)),
*w->var(TString::Format("mjj_sig_alpha_cat%d",c)),
*w->var(TString::Format("mjj_sig_n_cat%d",c)),
*w->var(TString::Format("mjj_sig_gsigma_cat%d",c)),
*w->var(TString::Format("mjj_sig_frac_cat%d",c))) );
w->defineSet(TString::Format("SigPdfParam_cat%d",c), sigParams);
SetConstantParams(w->set(TString::Format("SigPdfParam_cat%d",c)));
w->import(*SigPdf[c]);
} // close for ncat
} // close signal model fit
RooAbsPdf *BkgMggModelFit(RooWorkspace* w, int c, int modelNum) {
std::vector<TString> catdesc;
catdesc.push_back("#scale[0.8]{cat0}");
catdesc.push_back("#scale[0.8]{cat1}");
catdesc.push_back("#scale[0.8]{cat2}");
catdesc.push_back("#scale[0.8]{cat3}");
RooDataSet* data[9];
RooFitResult* fitresult[9];;
RooPlot* plotMggBkg[9];
Float_t minMassFit(100),maxMassFit(180);
RooRealVar* mGG = w->var("mgg");
mGG->setUnit("GeV");
RooRealVar* mJJ = w->var("mjj");
mJJ->setUnit("GeV");
TLatex *text = new TLatex();
text->SetNDC();
text->SetTextSize(0.04);
data[c] = (RooDataSet*) w->data(TString::Format("Data_cat%d",c));
RooFormulaVar *p1mod = new RooFormulaVar(TString::Format("mggp1mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mgg_bkg_8TeV_slope1_cat%d",c)));
RooFormulaVar *p2mod = new RooFormulaVar(TString::Format("mggp2mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mgg_bkg_8TeV_slope2_cat%d",c)));
RooFormulaVar *p3mod = new RooFormulaVar(TString::Format("mggp3mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mgg_bkg_8TeV_slope3_cat%d",c)));
RooFormulaVar *p4mod = new RooFormulaVar(TString::Format("mggp4mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mgg_bkg_8TeV_slope4_cat%d",c)));
RooFormulaVar *p5mod = new RooFormulaVar(TString::Format("mggp5mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mgg_bkg_8TeV_slope5_cat%d",c)));
RooFormulaVar *p1arg = new RooFormulaVar(TString::Format("mggp1arg_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_arg1_cat%d",c)));
RooFormulaVar *p2arg = new RooFormulaVar(TString::Format("mggp2arg_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_arg2_cat%d",c)));
RooFormulaVar *p3arg = new RooFormulaVar(TString::Format("mggp3arg_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_arg3_cat%d",c)));
RooFormulaVar *p4arg = new RooFormulaVar(TString::Format("mggp4arg_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_arg4_cat%d",c)));
RooFormulaVar *p5arg = new RooFormulaVar(TString::Format("mggp5arg_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_arg5_cat%d",c)));
RooFormulaVar *p1wid = new RooFormulaVar(TString::Format("mggp1wid_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_wid1_cat%d",c)));
RooFormulaVar *p2wid = new RooFormulaVar(TString::Format("mggp2wid_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_wid2_cat%d",c)));
RooFormulaVar *p3wid = new RooFormulaVar(TString::Format("mggp3wid_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_wid3_cat%d",c)));
RooFormulaVar *p4wid = new RooFormulaVar(TString::Format("mggp4wid_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_wid4_cat%d",c)));
RooFormulaVar *p5wid = new RooFormulaVar(TString::Format("mggp5wid_cat%d",c),"","@0",*w->var(TString::Format("mgg_bkg_8TeV_wid5_cat%d",c)));
RooExponential* expo1 = new RooExponential("exp1","",*mGG,*p1arg);
RooExponential* expo2 = new RooExponential("exp2","",*mGG,*p2arg);
RooExponential* expo3 = new RooExponential("exp3","",*mGG,*p3arg);
RooExponential* expo4 = new RooExponential("exp4","",*mGG,*p4arg);
RooExponential* expo5 = new RooExponential("exp5","",*mGG,*p5arg);
RooLandau* lan1 = new RooLandau("lan1","",*mGG,*p1arg,*p1wid);
RooLandau* lan2 = new RooLandau("lan2","",*mGG,*p2arg,*p2wid);
RooLandau* lan3 = new RooLandau("lan3","",*mGG,*p3arg,*p3wid);
RooLandau* lan4 = new RooLandau("lan4","",*mGG,*p4arg,*p4wid);
RooLandau* lan5 = new RooLandau("lan5","",*mGG,*p5arg,*p5wid);
const int totalNDOF=5;
int NDOF[totalNDOF]={0};
float minNLL[totalNDOF]={0.0}, chi2prob[totalNDOF]={-1.0};
int bestN = 0;
RooAbsPdf* MggBkgTmp[totalNDOF] = {0};
char fitName[10];
switch (modelNum){
case 0: //Bernstein
MggBkgTmp[0] = new RooBernstein("BerN0Mgg", "", *mGG, RooArgList(*p1mod));
MggBkgTmp[1] = new RooBernstein("BerN1Mgg", "", *mGG, RooArgList(*p1mod,*p2mod));
MggBkgTmp[2] = new RooBernstein("BerN2Mgg", "", *mGG, RooArgList(*p1mod,*p2mod,*p3mod));
MggBkgTmp[3] = new RooBernstein("BerN3Mgg", "", *mGG, RooArgList(*p1mod,*p2mod,*p3mod,*p4mod));
MggBkgTmp[4] = new RooBernstein("BerN4Mgg", "", *mGG, RooArgList(*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Ber");
break;
case 1: //Exponential
w->factory(TString::Format("mgg_bkg_8TeV_norm_cat%d[800.0,0.0,100000]",c));
MggBkgTmp[0] = new RooExtendPdf("ExpN1Mgg","",*expo1,*w->var(TString::Format("mgg_bkg_8TeV_norm_cat%d",c)));
MggBkgTmp[1] = new RooAddPdf("ExpN2Mgg", "", RooArgList(*expo1,*expo2), RooArgList(*p1mod,*p2mod));
MggBkgTmp[2] = new RooAddPdf("ExpN3Mgg", "", RooArgList(*expo1,*expo2,*expo3), RooArgList(*p1mod,*p2mod,*p3mod));
MggBkgTmp[3] = new RooAddPdf("ExpN4Mgg", "", RooArgList(*expo1,*expo2,*expo3,*expo4), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod));
MggBkgTmp[4] = new RooAddPdf("ExpN5Mgg", "", RooArgList(*expo1,*expo2,*expo3,*expo4,*expo5), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Exp");
break;
case 2: //Landau
w->factory(TString::Format("mgg_bkg_8TeV_norm_cat%d[800.0,0.0,100000]",c));
MggBkgTmp[0] = new RooExtendPdf("LanN1Mgg","",*lan1,*w->var(TString::Format("mgg_bkg_8TeV_norm_cat%d",c)));
MggBkgTmp[1] = new RooAddPdf("LanN2Mgg", "", RooArgList(*lan1,*lan2), RooArgList(*p1mod,*p2mod));
MggBkgTmp[2] = new RooAddPdf("LanN3Mgg", "", RooArgList(*lan1,*lan2,*lan3), RooArgList(*p1mod,*p2mod,*p3mod));
MggBkgTmp[3] = new RooAddPdf("LanN4Mgg", "", RooArgList(*lan1,*lan2,*lan3,*lan4), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod));
MggBkgTmp[4] = new RooAddPdf("LanN5Mgg", "", RooArgList(*lan1,*lan2,*lan3,*lan4,*lan5), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Lan");
break;
case 3: //Laurent
MggBkgTmp[0] = new RooGenericPdf("LauN1Mgg","@1*pow(@0,-4)",RooArgList(*mGG,*p1mod));
MggBkgTmp[1] = new RooGenericPdf("LauN2Mgg","@1*pow(@0,-4)+@2*pow(@0,-3)",RooArgList(*mGG,*p1mod,*p2mod));
MggBkgTmp[2] = new RooGenericPdf("LauN3Mgg","@1*pow(@0,-4)+@2*pow(@0,-3)+@3*pow(@0,-5)",RooArgList(*mGG,*p1mod,*p2mod,*p3mod));
MggBkgTmp[3] = new RooGenericPdf("LauN4Mgg","@1*pow(@0,-4)+@2*pow(@0,-3)+@3*pow(@0,-5)+@4*pow(@0,-2)",RooArgList(*mGG,*p1mod,*p2mod,*p3mod,*p4mod));
MggBkgTmp[4] = new RooGenericPdf("LauN5Mgg","@1*pow(@0,-4)+@2*pow(@0,-3)+@3*pow(@0,-5)+@4*pow(@0,-2)+@5*pow(@0,-6)",RooArgList(*mGG,*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Lau");
break;
case 4: //Power
MggBkgTmp[0] = new RooGenericPdf("PowN1Mgg","@1*pow(@0,@2)",RooArgList(*mGG,*p1mod,*p1arg));
MggBkgTmp[1] = new RooGenericPdf("PowN2Mgg","@1*pow(@0,@2)+@3*pow(@0,@4)",RooArgList(*mGG,*p1mod,*p1arg,*p2mod,*p2arg));
MggBkgTmp[2] = new RooGenericPdf("PowN3Mgg","@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)",RooArgList(*mGG,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
MggBkgTmp[3] = new RooGenericPdf("PowN4Mgg","@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)+@7*pow(@0,@8)",RooArgList(*mGG,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg,*p4mod,*p4arg));
MggBkgTmp[4] = new RooGenericPdf("PowN5Mgg","@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)+@7*pow(@0,@8)",RooArgList(*mGG,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg,*p4mod,*p4arg));
//MggBkgTmp[4] = new RooGenericPdf(TString::Format("MggBkg_cat%d",c),"@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)+@7*pow(@0,@8)+@9*pow(@0,@10)",RooArgList(*mGG,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg,*p4mod,*p4arg,*p5mod,*p5arg));
sprintf(fitName,"Pow");
break;
}
bool breakLoop=false;
for(int i=0; i<totalNDOF; ++i){
fitresult[c] = MggBkgTmp[i]->fitTo(*data[c], Strategy(1),Minos(kFALSE), Range(minMassFit,maxMassFit),SumW2Error(kTRUE), Save(kTRUE));//strategy 1 or 2?
//w->import(*MggBkgTmp[i]);
minNLL[i] = fitresult[c]->minNll();
switch(modelNum){
case 0: NDOF[i] = i+1; break;
case 1: NDOF[i] = 2*(i+1); break;
case 2: NDOF[i] = 3*(i+1); break;
case 3: NDOF[i] = i+1; break;
case 4: NDOF[i] = 2*(i+1); break;
}
//************************************************//
// Plot Mgg background fit results per categories
//************************************************//
// Plot Background Categories
//****************************//
TCanvas* ctmp = new TCanvas("ctmp","Mgg Background Categories",0,0,500,500);
Int_t nBinsMass(80);
plotMggBkg[c] = mGG->frame();
data[c]->plotOn(plotMggBkg[c],LineColor(kWhite),MarkerColor(kWhite));
MggBkgTmp[i]->plotOn(plotMggBkg[c],LineColor(kBlue),Range("fitrange"),NormRange("fitrange"));
data[c]->plotOn(plotMggBkg[c]);
plotMggBkg[c]->SetTitle("");
plotMggBkg[c]->SetMinimum(1e-5);
plotMggBkg[c]->SetMaximum(1.40*plotMggBkg[c]->GetMaximum());
plotMggBkg[c]->GetXaxis()->SetTitle("m_{#gamma#gamma} (GeV)");
plotMggBkg[c]->Draw();
TLegend *legmc = new TLegend(0.55,0.75,0.98,0.9);
legmc->AddEntry(plotMggBkg[c]->getObject(2),"Data CS","LPE");
legmc->AddEntry(plotMggBkg[c]->getObject(1),TString::Format("%.5s Truth",MggBkgTmp[i]->GetName()),"L");
legmc->SetBorderSize(0);
legmc->SetFillStyle(0);
legmc->Draw();
TLatex *lat = new TLatex(minMassFit+3.0,0.85*plotMggBkg[c]->GetMaximum(),"#splitline{#scale[1.0]{CMS Preliminary}}{#scale[0.8]{#sqrt{s} = 8 TeV}}");
lat->Draw();
TLatex *lat2 = new TLatex(minMassFit+3.0,0.7*plotMggBkg[c]->GetMaximum(),catdesc.at(c));
lat2->Draw();
ctmp->SaveAs(TString::Format("plots/dataBkgMgg_%.5s_cat%d.png",MggBkgTmp[i]->GetName(),c));
ctmp->SaveAs(TString::Format("plots/dataBkgMgg_%.5s_cat%d.pdf",MggBkgTmp[i]->GetName(),c));
if(i>0){
float chi2 = 2*(minNLL[i-1]-minNLL[i]);
int chi2dof = NDOF[i]-NDOF[i-1];
chi2prob[i-1] = chi2<0 ? 1.0 : TMath::Prob(chi2,chi2dof);
if(chi2prob[i-1]>0.05 ) breakLoop=true;
}
if(data[c]->sumEntries()-1<=NDOF[i]) breakLoop=true;
if(!breakLoop)
bestN=i;
}
FILE *results = fopen("resultsModel2DMgg.txt","a");
fprintf(results,"### Mgg spectrum, %s fit for cat%i. The best order is %i.\n",fitName,c,bestN+(modelNum!=0));//for Bernstein, N is the order of the polynomial fit.
for(int i=0; i<totalNDOF; ++i){
if(NDOF[i]==0) break;
fprintf(results,"N=%i NLL=%.3f NDOF=%i\n",i+(modelNum!=0),minNLL[i],NDOF[i]);
}
for(int i=1; i<totalNDOF; ++i){
if(NDOF[i]==0) break;
float chi2 = 2*(minNLL[i-1]-minNLL[i]);
int chi2dof = NDOF[i]-NDOF[i-1];
fprintf(results,"N=%i chi2=%.3f chi2dof=%i chi2prob=%.3f\n",i-1+(modelNum!=0),chi2,chi2dof,chi2prob[i-1]);
}
fprintf(results,"\n\n");
fclose(results);
//redo the fit since parameters are used across multiple truth models
MggBkgTmp[bestN]->fitTo(*data[c], Strategy(1),Minos(kFALSE), Range(minMassFit,maxMassFit),SumW2Error(kTRUE), Save(kTRUE));//strategy 1 or 2?
/*correlations from MC sum, from data (blinded on 120<mgg<130):
res270 cat0: -0.0163, -0.154
res270 cat1: -0.218 , -0.0345
res300 cat0: +0.0382, +0.164
res300 cat1: -0.0713, +0.370
nonres cat0: +0.0586, -0.123
nonres cat1: +0.105 , -0.0121
nonres cat2: -0.0900, +0.0607
nonres cat3: -0.0465, +0.116
*/
float corrVal_obs=0;
if(withCorr){
if(c==0 && resMass==300)
corrVal_obs=0.0382;
else if(c==1 && resMass==300)
corrVal_obs=-0.0713;
else if(c==0 && resMass==270)
corrVal_obs=-0.0163;
else if(c==1 && resMass==270)
corrVal_obs=-0.218;
else if(c==0 && resMass==0)
corrVal_obs=0.0586;
else if(c==1 && resMass==0)
corrVal_obs=0.105;
else if(c==2 && resMass==0)
corrVal_obs=-0.0900;
else if(c==3 && resMass==0)
corrVal_obs=-0.0465;
}
printf("withCorr=%d corresponds to corrVal=%f\n",withCorr,corrVal_obs);
RooRealVar *corrVal = new RooRealVar("corrVal","",corrVal_obs);
corrVal->setConstant(kTRUE);
if (withCorr){//contruct a pdf with f(mgg) -> f(mgg+rho*mjj)
switch (modelNum){
case 0: //Bernstein
MggBkgTmp[0] = new RooGenericPdf("BerN0Mgg", "@3", RooArgList(*mGG,*mJJ,*corrVal,*p1mod));
MggBkgTmp[1] = new RooGenericPdf("BerN1Mgg", "@3*(1-(@0+@1*@2))+@4*((@0+@1*@2))", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p2mod));
MggBkgTmp[2] = new RooGenericPdf("BerN2Mgg", "@3*(1-(@0+@1*@2))**2+@4*2*(@0+@1*@2)*(1-(@0+@1*@2))+@5*(@0+@1*@2)**2", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p2mod,*p3mod));
MggBkgTmp[3] = new RooGenericPdf("BerN3Mgg", "@3*(1-(@0+@1*@2))**3+@4*3*(@0+@1*@2)*(1-(@0+@1*@2))**2+@5*3*(@0+@1*@2)**2*(1-(@0+@1*@2))+@6*(@0+@1*@2)**3", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p2mod,*p3mod,*p4mod));
MggBkgTmp[4] = new RooGenericPdf("BerN4Mgg", "@3*(1-(@0+@1*@2))**4+@4*(3*(@0+@1*@2)*(1-(@0+@1*@2))**3+(@0+@1*@2)*(1-(@0+@1*@2))**3)+@5*(6*(@0+@1*@2)**2*(1-(@0+@1*@2))**2)+@6*((@0+@1*@2)**3*(1-(@0+@1*@2))+3*(@0+@1*@2)**3*(1-(@0+@1*@2)))+@7*(@0+@1*@2)**4", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
break;
case 1: //Exponential
MggBkgTmp[0] = new RooGenericPdf("ExpN1Mgg", "@3*exp(@4*(@0+@1*@2))", RooArgList(*mGG,*mJJ,*corrVal,*w->var(TString::Format("mgg_bkg_8TeV_norm_cat%d",c)),*p1arg));
MggBkgTmp[1] = new RooGenericPdf("ExpN2Mgg", "@3*exp(@4*(@0+@1*@2))+@5*exp(@6*(@0+@1*@2))", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg));
MggBkgTmp[2] = new RooGenericPdf("ExpN3Mgg", "@3*exp(@4*(@0+@1*@2))+@5*exp(@6*(@0+@1*@2))+@7*exp(@8*(@0+@1*@2))", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
MggBkgTmp[3] = new RooGenericPdf("ExpN4Mgg", "@3*exp(@4*(@0+@1*@2))+@5*exp(@6*(@0+@1*@2))+@7*exp(@8*(@0+@1*@2))", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
MggBkgTmp[4] = new RooGenericPdf("ExpN5Mgg", "@3*exp(@4*(@0+@1*@2))+@5*exp(@6*(@0+@1*@2))+@7*exp(@8*(@0+@1*@2))", RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
break;
case 4: //Power
MggBkgTmp[0] = new RooGenericPdf("PowN1Mgg","@3*pow(@0+@1*@2,@4)",RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg));
MggBkgTmp[1] = new RooGenericPdf("PowN2Mgg","@3*pow(@0+@1*@2,@4)+@5*pow(@0+@1*@2,@6)",RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg));
MggBkgTmp[2] = new RooGenericPdf("PowN3Mgg","@3*pow(@0+@1*@2,@4)+@5*pow(@0+@1*@2,@6)+@7*pow(@0+@1*@2,@8)",RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
MggBkgTmp[3] = new RooGenericPdf("PowN4Mgg","@3*pow(@0+@1*@2,@4)+@5*pow(@0+@1*@2,@6)+@7*pow(@0+@1*@2,@8)",RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
MggBkgTmp[4] = new RooGenericPdf("PowN5Mgg","@3*pow(@0+@1*@2,@4)+@5*pow(@0+@1*@2,@6)+@7*pow(@0+@1*@2,@8)",RooArgList(*mGG,*mJJ,*corrVal,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
break;
}
}
w->import(*MggBkgTmp[bestN]);
return MggBkgTmp[bestN];
}
RooAbsPdf *BkgMjjModelFit(RooWorkspace* w, int c, int modelNum) {
std::vector<TString> catdesc;
catdesc.push_back("#scale[0.8]{cat0}");
catdesc.push_back("#scale[0.8]{cat1}");
catdesc.push_back("#scale[0.8]{cat2}");
catdesc.push_back("#scale[0.8]{cat3}");
RooDataSet* data[9];
RooFitResult* fitresult[9];;
RooPlot* plotMjjBkg[9];
Float_t minMassFit(60),maxMassFit(180);
RooRealVar* mJJ = w->var("mjj");
mJJ->setUnit("GeV");
TLatex *text = new TLatex();
text->SetNDC();
text->SetTextSize(0.04);
data[c] = (RooDataSet*) w->data(TString::Format("Data_cat%d",c));
RooFormulaVar *p1mod = new RooFormulaVar(TString::Format("mjjp1mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mjj_bkg_8TeV_slope1_cat%d",c)));
RooFormulaVar *p2mod = new RooFormulaVar(TString::Format("mjjp2mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mjj_bkg_8TeV_slope2_cat%d",c)));
RooFormulaVar *p3mod = new RooFormulaVar(TString::Format("mjjp3mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mjj_bkg_8TeV_slope3_cat%d",c)));
RooFormulaVar *p4mod = new RooFormulaVar(TString::Format("mjjp4mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mjj_bkg_8TeV_slope4_cat%d",c)));
RooFormulaVar *p5mod = new RooFormulaVar(TString::Format("mjjp5mod_cat%d",c),"","@0*@0",*w->var(TString::Format("mjj_bkg_8TeV_slope5_cat%d",c)));
RooFormulaVar *p1arg = new RooFormulaVar(TString::Format("mjjp1arg_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_arg1_cat%d",c)));
RooFormulaVar *p2arg = new RooFormulaVar(TString::Format("mjjp2arg_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_arg2_cat%d",c)));
RooFormulaVar *p3arg = new RooFormulaVar(TString::Format("mjjp3arg_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_arg3_cat%d",c)));
RooFormulaVar *p4arg = new RooFormulaVar(TString::Format("mjjp4arg_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_arg4_cat%d",c)));
RooFormulaVar *p5arg = new RooFormulaVar(TString::Format("mjjp5arg_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_arg5_cat%d",c)));
RooFormulaVar *p1wid = new RooFormulaVar(TString::Format("mjjp1wid_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_wid1_cat%d",c)));
RooFormulaVar *p2wid = new RooFormulaVar(TString::Format("mjjp2wid_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_wid2_cat%d",c)));
RooFormulaVar *p3wid = new RooFormulaVar(TString::Format("mjjp3wid_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_wid3_cat%d",c)));
RooFormulaVar *p4wid = new RooFormulaVar(TString::Format("mjjp4wid_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_wid4_cat%d",c)));
RooFormulaVar *p5wid = new RooFormulaVar(TString::Format("mjjp5wid_cat%d",c),"","@0",*w->var(TString::Format("mjj_bkg_8TeV_wid5_cat%d",c)));
RooExponential* expo1 = new RooExponential("exp1","",*mJJ,*p1arg);
RooExponential* expo2 = new RooExponential("exp2","",*mJJ,*p2arg);
RooExponential* expo3 = new RooExponential("exp3","",*mJJ,*p3arg);
RooExponential* expo4 = new RooExponential("exp4","",*mJJ,*p4arg);
RooExponential* expo5 = new RooExponential("exp5","",*mJJ,*p5arg);
RooLandau* lan1 = new RooLandau("lan1","",*mJJ,*p1arg,*p1wid);
RooLandau* lan2 = new RooLandau("lan2","",*mJJ,*p2arg,*p2wid);
RooLandau* lan3 = new RooLandau("lan3","",*mJJ,*p3arg,*p3wid);
RooLandau* lan4 = new RooLandau("lan4","",*mJJ,*p4arg,*p4wid);
RooLandau* lan5 = new RooLandau("lan5","",*mJJ,*p5arg,*p5wid);
const int totalNDOF=5;
int NDOF[totalNDOF]={0};
float minNLL[totalNDOF]={0.0}, chi2prob[totalNDOF]={-1.0};
int bestN = 0;
RooAbsPdf* MjjBkgTmp[totalNDOF] = {0};
char fitName[10];
switch (modelNum){
case 0: //Bernstein
MjjBkgTmp[0] = new RooBernstein("BerN0Mjj", "", *mJJ, RooArgList(*p1mod));
MjjBkgTmp[1] = new RooBernstein("BerN1Mjj", "", *mJJ, RooArgList(*p1mod,*p2mod));
MjjBkgTmp[2] = new RooBernstein("BerN2Mjj", "", *mJJ, RooArgList(*p1mod,*p2mod,*p3mod));
MjjBkgTmp[3] = new RooBernstein("BerN3Mjj", "", *mJJ, RooArgList(*p1mod,*p2mod,*p3mod,*p4mod));
MjjBkgTmp[4] = new RooBernstein("BerN4Mjj", "", *mJJ, RooArgList(*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Ber");
break;
case 1: //Exponential
w->factory(TString::Format("mjj_bkg_8TeV_norm_cat%d[800.0,0.0,100000]",c));
MjjBkgTmp[0] = new RooExtendPdf("ExpN1Mjj","",*expo1,*w->var(TString::Format("mjj_bkg_8TeV_norm_cat%d",c)));
MjjBkgTmp[1] = new RooAddPdf("ExpN2Mjj", "", RooArgList(*expo1,*expo2), RooArgList(*p1mod,*p2mod));
MjjBkgTmp[2] = new RooAddPdf("ExpN3Mjj", "", RooArgList(*expo1,*expo2,*expo3), RooArgList(*p1mod,*p2mod,*p3mod));
MjjBkgTmp[3] = new RooAddPdf("ExpN4Mjj", "", RooArgList(*expo1,*expo2,*expo3,*expo4), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod));
MjjBkgTmp[4] = new RooAddPdf("ExpN5Mjj", "", RooArgList(*expo1,*expo2,*expo3,*expo4,*expo5), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Exp");
break;
case 2: //Landau
w->factory(TString::Format("mjj_bkg_8TeV_norm_cat%d[800.0,0.0,100000]",c));
MjjBkgTmp[0] = new RooExtendPdf("LanN1Mjj","",*lan1,*w->var(TString::Format("mjj_bkg_8TeV_norm_cat%d",c)));
MjjBkgTmp[1] = new RooAddPdf("LanN2Mjj", "", RooArgList(*lan1,*lan2), RooArgList(*p1mod,*p2mod));
MjjBkgTmp[2] = new RooAddPdf("LanN3Mjj", "", RooArgList(*lan1,*lan2,*lan3), RooArgList(*p1mod,*p2mod,*p3mod));
MjjBkgTmp[3] = new RooAddPdf("LanN4Mjj", "", RooArgList(*lan1,*lan2,*lan3,*lan4), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod));
MjjBkgTmp[4] = new RooAddPdf("LanN5Mjj", "", RooArgList(*lan1,*lan2,*lan3,*lan4,*lan5), RooArgList(*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Lan");
break;
case 3: //Laurent
MjjBkgTmp[0] = new RooGenericPdf("LauN1Mjj","@1*pow(@0,-4)",RooArgList(*mJJ,*p1mod));
MjjBkgTmp[1] = new RooGenericPdf("LauN2Mjj","@1*pow(@0,-4)+@2*pow(@0,-3)",RooArgList(*mJJ,*p1mod,*p2mod));
MjjBkgTmp[2] = new RooGenericPdf("LauN3Mjj","@1*pow(@0,-4)+@2*pow(@0,-3)+@3*pow(@0,-5)",RooArgList(*mJJ,*p1mod,*p2mod,*p3mod));
MjjBkgTmp[3] = new RooGenericPdf("LauN4Mjj","@1*pow(@0,-4)+@2*pow(@0,-3)+@3*pow(@0,-5)+@4*pow(@0,-2)",RooArgList(*mJJ,*p1mod,*p2mod,*p3mod,*p4mod));
MjjBkgTmp[4] = new RooGenericPdf("LauN5Mjj","@1*pow(@0,-4)+@2*pow(@0,-3)+@3*pow(@0,-5)+@4*pow(@0,-2)+@5*pow(@0,-6)",RooArgList(*mJJ,*p1mod,*p2mod,*p3mod,*p4mod,*p5mod));
sprintf(fitName,"Lau");
break;
case 4: //Power
MjjBkgTmp[0] = new RooGenericPdf("PowN1Mjj","@1*pow(@0,@2)",RooArgList(*mJJ,*p1mod,*p1arg));
MjjBkgTmp[1] = new RooGenericPdf("PowN2Mjj","@1*pow(@0,@2)+@3*pow(@0,@4)",RooArgList(*mJJ,*p1mod,*p1arg,*p2mod,*p2arg));
MjjBkgTmp[2] = new RooGenericPdf("PowN3Mjj","@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)",RooArgList(*mJJ,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg));
MjjBkgTmp[3] = new RooGenericPdf("PowN4Mjj","@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)+@7*pow(@0,@8)",RooArgList(*mJJ,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg,*p4mod,*p4arg));
MjjBkgTmp[4] = new RooGenericPdf("PowN5Mjj","@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)+@7*pow(@0,@8)",RooArgList(*mJJ,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg,*p4mod,*p4arg));
//MjjBkgTmp[4] = new RooGenericPdf(TString::Format("MjjBkg_cat%d",c),"@1*pow(@0,@2)+@3*pow(@0,@4)+@5*pow(@0,@6)+@7*pow(@0,@8)+@9*pow(@0,@10)",RooArgList(*mJJ,*p1mod,*p1arg,*p2mod,*p2arg,*p3mod,*p3arg,*p4mod,*p4arg,*p5mod,*p5arg));
sprintf(fitName,"Pow");
break;
}
bool breakLoop=false;
for(int i=0; i<totalNDOF; ++i){
fitresult[c] = MjjBkgTmp[i]->fitTo(*data[c], Strategy(1),Minos(kFALSE), Range(minMassFit,maxMassFit),SumW2Error(kTRUE), Save(kTRUE));//strategy 1 or 2?
//w->import(*MjjBkgTmp[i]);
minNLL[i] = fitresult[c]->minNll();
switch(modelNum){
case 0: NDOF[i] = i+1; break;
case 1: NDOF[i] = 2*(i+1); break;
case 2: NDOF[i] = 3*(i+1); break;
case 3: NDOF[i] = i+1; break;
case 4: NDOF[i] = 2*(i+1); break;
}
//************************************************//
// Plot Mjj background fit results per categories
//************************************************//
// Plot Background Categories
//****************************//
TCanvas* ctmp = new TCanvas("ctmp","Mjj Background Categories",0,0,500,500);
Int_t nBinsMass(80);
plotMjjBkg[c] = mJJ->frame();
data[c]->plotOn(plotMjjBkg[c],LineColor(kWhite),MarkerColor(kWhite));
MjjBkgTmp[i]->plotOn(plotMjjBkg[c],LineColor(kBlue),Range("fitrange"),NormRange("fitrange"));
data[c]->plotOn(plotMjjBkg[c]);
plotMjjBkg[c]->SetTitle("");
plotMjjBkg[c]->SetMinimum(1e-5);
plotMjjBkg[c]->SetMaximum(1.40*plotMjjBkg[c]->GetMaximum());
plotMjjBkg[c]->GetXaxis()->SetTitle("m_{jj} (GeV)");
plotMjjBkg[c]->Draw();
TLegend *legmc = new TLegend(0.55,0.75,0.98,0.9);
legmc->AddEntry(plotMjjBkg[c]->getObject(2),"Data CS","LPE");
legmc->AddEntry(plotMjjBkg[c]->getObject(1),TString::Format("%.5s Truth",MjjBkgTmp[i]->GetName()),"L");
legmc->SetBorderSize(0);
legmc->SetFillStyle(0);
legmc->Draw();
TLatex *lat = new TLatex(minMassFit+3.0,0.85*plotMjjBkg[c]->GetMaximum(),"#splitline{#scale[1.0]{CMS Preliminary}}{#scale[0.8]{#sqrt{s} = 8 TeV}}");
lat->Draw();
TLatex *lat2 = new TLatex(minMassFit+3.0,0.7*plotMjjBkg[c]->GetMaximum(),catdesc.at(c));
lat2->Draw();
ctmp->SaveAs(TString::Format("plots/dataBkgMjj_%.5s_cat%d.png",MjjBkgTmp[i]->GetName(),c));
ctmp->SaveAs(TString::Format("plots/dataBkgMjj_%.5s_cat%d.pdf",MjjBkgTmp[i]->GetName(),c));
if(i>0){
float chi2 = 2*(minNLL[i-1]-minNLL[i]);
int chi2dof = NDOF[i]-NDOF[i-1];
chi2prob[i-1] = chi2<0 ? 1.0 : TMath::Prob(chi2,chi2dof);
if(chi2prob[i-1]>0.05 ) breakLoop=true;
}
if(data[c]->sumEntries()-1<=NDOF[i]) breakLoop=true;
if(!breakLoop)
bestN=i;
}
FILE *results = fopen("resultsModel2DMjj.txt","a");
fprintf(results,"### Mjj spectrum, %s fit for cat%i. The best order is %i.\n",fitName,c,bestN+(modelNum!=0));//for Bernstein, N is the order of the polynomial fit.
for(int i=0; i<totalNDOF; ++i){
if(NDOF[i]==0) break;
fprintf(results,"N=%i NLL=%.3f NDOF=%i\n",i+(modelNum!=0),minNLL[i],NDOF[i]);
}
for(int i=1; i<totalNDOF; ++i){
if(NDOF[i]==0) break;
float chi2 = 2*(minNLL[i-1]-minNLL[i]);
int chi2dof = NDOF[i]-NDOF[i-1];
fprintf(results,"N=%i chi2=%.3f chi2dof=%i chi2prob=%.3f\n",i-1+(modelNum!=0),chi2,chi2dof,chi2prob[i-1]);
}
fprintf(results,"\n\n");
fclose(results);
MjjBkgTmp[bestN]->fitTo(*data[c], Strategy(1),Minos(kFALSE), Range(minMassFit,maxMassFit),SumW2Error(kTRUE), Save(kTRUE));//strategy 1 or 2?
w->import(*MjjBkgTmp[bestN]);
return MjjBkgTmp[bestN];
}
void BkgModelBias(RooWorkspace* w,int c,RooAbsPdf* MggBkgTruth, RooAbsPdf* MjjBkgTruth, FILE *fout, FILE *foutCorr){
std::vector<TString> catdesc;
catdesc.push_back("#scale[0.8]{cat0}");
catdesc.push_back("#scale[0.8]{cat1}");
catdesc.push_back("#scale[0.8]{cat2}");
catdesc.push_back("#scale[0.8]{cat3}");
Float_t minMggMassFit(100),maxMggMassFit(180);
Float_t minMjjMassFit( 60),maxMjjMassFit(180);
float sigMeanMgg=0, sigFWHM_Mgg=0, sigMeanMjj=0, sigFWHM_Mjj=0;
switch(c){
case 0: case 2: sigMeanMgg=124.81; sigFWHM_Mgg=1.76; sigMeanMjj=122.20; sigFWHM_Mjj=22.43; break;
case 1: case 3: sigMeanMgg=124.78; sigFWHM_Mgg=1.92; sigMeanMjj=120.41; sigFWHM_Mjj=31.04; break;
}
RooRealVar* mGG = w->var("mgg");
mGG->setUnit("GeV");
mGG->setRange("sigRegion",sigMeanMgg-sigFWHM_Mgg,sigMeanMgg+sigFWHM_Mgg);
RooRealVar* mJJ = w->var("mjj");
mJJ->setUnit("GeV");
mJJ->setRange("sigRegion",sigMeanMjj-sigFWHM_Mjj,sigMeanMjj+sigFWHM_Mjj);
TLatex *text = new TLatex();
text->SetNDC();
text->SetTextSize(0.04);
RooDataSet* data = (RooDataSet*) w->data(TString::Format("Data_cat%d",c));
RooRealVar *p0 = new RooRealVar("p0","",0.1,0,10000);
RooRealVar *p1 = new RooRealVar("p1","",0.1,0,10000);
RooRealVar *p2 = new RooRealVar("p2","",0.1,0,10000);
RooRealVar *p3 = new RooRealVar("p3","",0.1,0,10000);
RooRealVar *p4 = new RooRealVar("p4","",0.1,0,10000);
RooRealVar *p5 = new RooRealVar("p5","",0.1,0,10000);
RooRealVar *p6 = new RooRealVar("p6","",0.1,0,10000);
RooRealVar *p7 = new RooRealVar("p7","",0.1,0,10000);
RooRealVar *p8 = new RooRealVar("p8","",-0.1,-100000.0,0.0);
RooRealVar *p9 = new RooRealVar("p9","",-0.1,-100000.0,0.0);
const int totalNDOF=7;
RooAbsPdf* MggBkgTmp[totalNDOF] = {0};
RooAbsPdf* MjjBkgTmp[totalNDOF] = {0};
MggBkgTmp[0] = new RooExponential(TString::Format("ExpN%dMggCand",1), "", *mGG,*p8);
MggBkgTmp[1] = new RooGenericPdf("PowN1MggCand","pow(@0,@1)",RooArgList(*mGG,*p8));
MggBkgTmp[2] = new RooBernstein(TString::Format("BerN%dMggCand",1), "", *mGG,RooArgList(*p0,*p1));
MggBkgTmp[3] = new RooBernstein(TString::Format("BerN%dMggCand",1), "", *mGG,RooArgList(*p0,*p1));
MggBkgTmp[4] = new RooBernstein(TString::Format("BerN%dMggCand",1), "", *mGG,RooArgList(*p0,*p1));
MggBkgTmp[5] = new RooBernstein(TString::Format("BerN%dMggCand",1), "", *mGG,RooArgList(*p0,*p1));
MggBkgTmp[6] = new RooBernstein(TString::Format("BerN%dMggCand",2), "", *mGG,RooArgList(*p0,*p1,*p2));
MjjBkgTmp[0] = new RooExponential(TString::Format("ExpN%dMjjCand",1), "", *mJJ,*p9);
MjjBkgTmp[1] = new RooGenericPdf("PowN1MjjCand","pow(@0,@1)",RooArgList(*mJJ,*p9));
MjjBkgTmp[2] = new RooBernstein(TString::Format("BerN%dMjjCand",1), "", *mJJ,RooArgList(*p4,*p5));
MjjBkgTmp[3] = new RooBernstein(TString::Format("BerN%dMjjCand",2), "", *mJJ,RooArgList(*p4,*p5,*p6));
MjjBkgTmp[4] = new RooBernstein(TString::Format("BerN%dMjjCand",3), "", *mJJ,RooArgList(*p4,*p5,*p6,*p7));
MjjBkgTmp[5] = new RooBernstein(TString::Format("BerN%dMjjCand",4), "", *mJJ,RooArgList(*p4,*p5,*p6,*p7,*p3));
MjjBkgTmp[6] = new RooBernstein(TString::Format("BerN%dMjjCand",1), "", *mJJ,RooArgList(*p4,*p5));
//if(MggBkgTruth->GetName()[0]=='B' && MjjBkgTruth->GetName()[0]=='B'){
// fprintf(fout,"Mgg x Mjj spectrum, bias results for cat%d, withCorr=%d\n",c,withCorr);
// fprintf(fout,"Model\t\t\tExp1,Exp1\tPow1,Pow1\tBer1,Ber1\tBer1,Ber2\tBer1,Ber3\n");
//}
//RooGenericPdf *corrBkgTruth = new RooGenericPdf("correlationTruth","1+@0*@1*@2",RooArgList(*corrVal,*mGG,*mJJ));
RooProdPdf *BkgTruthTmp = new RooProdPdf("BkgTruthTmp","",RooArgList(*MggBkgTruth,*MjjBkgTruth));
RooRealVar *nbkgTruth = new RooRealVar("nbkgTruth","",data->sumEntries());
RooExtendPdf *BkgTruth = new RooExtendPdf("BkgTruth","",*BkgTruthTmp,*nbkgTruth);
float n_gen_sr=BkgTruth->createIntegral(RooArgSet(*mGG,*mJJ),NormSet(RooArgSet(*mGG,*mJJ)),Range("sigRegion"))->getVal()*nbkgTruth->getVal();
const int Npse = 1000;
float results[totalNDOF];
TH1F *corrHist = new TH1F("corrHist","corrHist",200,-1,1);
for(int k=0; k<totalNDOF; ++k){
//for(int k=0; k<1; ++k){
float sigFrac = 6./80.*80./120.; //estimate fracion of fit region is signal region
RooProdPdf *BkgFitTmp = new RooProdPdf("BkgFitTmp","",RooArgList(*MggBkgTmp[k],*MjjBkgTmp[k]));
RooRealVar *nbkg = new RooRealVar("nbkg","",data->sumEntries(),0.5*data->sumEntries(),1.5*data->sumEntries());
RooRealVar *nsig = new RooRealVar("nsig","",0,-1.0*data->sumEntries(),1.0*data->sumEntries());
RooAddPdf *BkgFit = new RooAddPdf(TString::Format("BkgFit_cat%d",c), "", RooArgList(*BkgFitTmp,*w->pdf(TString::Format("SigPdf_cat%d",c))), RooArgList(*nbkg,*nsig));
float tmp_sigma_bkg = sqrt(data->sumEntries());
float tmp_sigma_sig = 0.1*sigFrac*data->sumEntries();//sqrt(sigFrac*data->sumEntries());
RooRealVar *mean_sig = new RooRealVar("mean_sig","",0.0);
RooRealVar *sigma_sig = new RooRealVar("sigma_sig","",tmp_sigma_sig);
RooRealVar *mean_bkg = new RooRealVar("mean_bkg","",data->sumEntries());
RooRealVar *sigma_bkg = new RooRealVar("sigma_bkg","",tmp_sigma_bkg);
RooGaussian *nsig_constraint = new RooGaussian("mu_constaint","mu_constraint",*nsig,*mean_sig,*sigma_sig);
RooGaussian *nbkg_constraint = new RooGaussian("nbkg_constaint","nbkg_constraint",*nbkg,*mean_bkg,*sigma_bkg);
mGG->setRange("massFit",100,180);
mJJ->setRange("massFit",60,180);
RooMCStudy * mcs = new RooMCStudy(*BkgTruth, RooArgSet(*mGG,*mJJ), FitModel(*BkgFit),Silence(), Extended(kTRUE), Binned(kFALSE),
FitOptions(Range("massFit"), Save(kFALSE), SumW2Error(kTRUE),
ExternalConstraints(RooArgSet(*nsig_constraint,*nbkg_constraint )) ));
RooChi2MCSModule chi2mod;
mcs->addModule(chi2mod);
mcs->generateAndFit(Npse,data->sumEntries(),kTRUE);
//for debugging
//RooArgSet obs(*mGG,*mJJ) ; // Set with your observables
//RooAbsCollection* constparams = BkgFit->getParameters(obs)->selectByAttrib("Constant",kFALSE) ;
//RooAbsCollection* allparams = BkgFit->getParameters(obs);
//RooAbsCollection* constparams2 = BkgTruth->getParameters(obs)->selectByAttrib("Constant",kFALSE) ;
//RooAbsCollection* allparams2 = BkgTruth->getParameters(obs);
//printf("\n\nnumConst=%d, numTotal=%d\n\n",constparams->getSize(),allparams->getSize());
//constparams->Print();
//allparams->Print();
//printf("\n\nnumConst=%d, numTotal=%d\n\n",constparams2->getSize(),allparams2->getSize());
//constparams2->Print();
//allparams2->Print();
//allparams->find("mgg_sig_alpha_cat1")->Print();
//allparams->find("mgg_sig_frac_cat1")->Print();
//allparams->find("mgg_sig_gsigma_cat1")->Print();
//allparams->find("mgg_sig_m0_cat1")->Print();
//allparams->find("mgg_sig_n_cat1")->Print();
//allparams->find("mgg_sig_sigma_cat1")->Print();
//allparams->find("mjj_sig_alpha_cat1")->Print();
//allparams->find("mjj_sig_frac_cat1")->Print();
//allparams->find("mjj_sig_gsigma_cat1")->Print();
//allparams->find("mjj_sig_m0_cat1")->Print();
//allparams->find("mjj_sig_n_cat1")->Print();
//allparams->find("mjj_sig_sigma_cat1")->Print();
//allparams->find("nbkg")->Print();
//allparams->find("nsig")->Print();
//allparams->find("p8")->Print();
//allparams->find("p9")->Print();
//BkgTruth->Print();
//BkgTruthTmp->Print();
//nbkgTruth->Print();
//BkgFit->Print();
//BkgFitTmp->Print();
//w->pdf(TString::Format("SigPdf_cat%d",c))->Print();
//std::cout<<"numdata="<<data->sumEntries()<<'\n';
//TFile *output = new TFile("output.root" ,"recreate");
//output->WriteTObject(mcs);
//output->Close();
//mcs->SaveAs("mcs.root");
//return;
std::vector<double> pulls;
//float genFraction = MggBkgTruth->createIntegral(*mGG,*mGG,"sigRegion")->getVal();
for(int i=0; i<Npse; ++i){
RooRealVar *q0 = new RooRealVar("q0","",mcs->fitParams(i)->getRealValue("p0"));
RooRealVar *q1 = new RooRealVar("q1","",mcs->fitParams(i)->getRealValue("p1"));
RooRealVar *q2 = new RooRealVar("q2","",mcs->fitParams(i)->getRealValue("p2"));
RooRealVar *q3 = new RooRealVar("q3","",mcs->fitParams(i)->getRealValue("p3"));
RooRealVar *q4 = new RooRealVar("q4","",mcs->fitParams(i)->getRealValue("p4"));
RooRealVar *q5 = new RooRealVar("q5","",mcs->fitParams(i)->getRealValue("p5"));
RooRealVar *q6 = new RooRealVar("q6","",mcs->fitParams(i)->getRealValue("p6"));
RooRealVar *q7 = new RooRealVar("q7","",mcs->fitParams(i)->getRealValue("p7"));
RooRealVar *q8 = new RooRealVar("q8","",mcs->fitParams(i)->getRealValue("p8"));
RooRealVar *q9 = new RooRealVar("q9","",mcs->fitParams(i)->getRealValue("p9"));
RooAbsPdf *fitFuncMgg,*fitFuncMjj;
switch(k){
case 0: fitFuncMgg = new RooExponential("fitFuncMgg","",*mGG,*q8); break;
case 1: fitFuncMgg = new RooGenericPdf("fitFuncMgg","pow(@0,@1)",RooArgList(*mGG,*q8)); break;
case 2: fitFuncMgg = new RooBernstein("fitFuncMgg","",*mGG,RooArgList(*q0,*q1)); break;
case 3: fitFuncMgg = new RooBernstein("fitFuncMgg","",*mGG,RooArgList(*q0,*q1)); break;
case 4: fitFuncMgg = new RooBernstein("fitFuncMgg","",*mGG,RooArgList(*q0,*q1)); break;
case 5: fitFuncMgg = new RooBernstein("fitFuncMgg","",*mGG,RooArgList(*q0,*q1)); break;
case 6: fitFuncMgg = new RooBernstein("fitFuncMgg","",*mGG,RooArgList(*q0,*q1,*q2)); break;
}
switch(k){
case 0: fitFuncMjj = new RooExponential("fitFuncMjj","",*mJJ,*q9); break;
case 1: fitFuncMjj = new RooGenericPdf("fitFuncMjj","pow(@0,@1)",RooArgList(*mJJ,*q9)); break;
case 2: fitFuncMjj = new RooBernstein("fitFuncMjj","",*mJJ,RooArgList(*q4,*q5)); break;
case 3: fitFuncMjj = new RooBernstein("fitFuncMjj","",*mJJ,RooArgList(*q4,*q5,*q6)); break;
case 4: fitFuncMjj = new RooBernstein("fitFuncMjj","",*mJJ,RooArgList(*q4,*q5,*q6,*q7)); break;
case 5: fitFuncMjj = new RooBernstein("fitFuncMjj","",*mJJ,RooArgList(*q4,*q5,*q6,*q7,*q3)); break;
case 6: fitFuncMjj = new RooBernstein("fitFuncMjj","",*mJJ,RooArgList(*q4,*q5)); break;
}
nbkg = new RooRealVar("nbkg","",mcs->fitParams(i)->getRealValue("nbkg"));
nsig = new RooRealVar("nsig","",mcs->fitParams(i)->getRealValue("nsig"));
RooProdPdf * fitFuncBkg = new RooProdPdf("fitFuncBkg","",RooArgSet(*fitFuncMgg,*fitFuncMjj));
RooAddPdf *fitFunc = new RooAddPdf("fitFunc","",RooArgList(*fitFuncBkg,*w->pdf(TString::Format("SigPdf_cat%d",c))), RooArgList(*nbkg,*nsig));
const RooAbsData* genDataset = mcs->genData(i);
corrHist->Fill(genDataset->correlation(*mGG,*mJJ));
float fitN = mcs->fitParams(i)->getRealValue("nsig");
float fitNerr = mcs->fitParams(i)->getRealValue("nsigerr");//cout<<"nsig(err) nbgd(err) "<<fitN<<"("<<fitNerr<<") "<<mcs->fitParams(i)->getRealValue("nbkg")<<"("<<mcs->fitParams(i)->getRealValue("nbkgerr")<<") "<<mcs->fitParams(i)->getRealValue("chi2")/mcs->fitParams(i)->getRealValue("ndof")<<' '<<genDataset->sumEntries("mGG>123.5 && mGG < 126.5")<<' '<<genDataset->sumEntries("mGG>120 && mGG < 130")<<endl;
float normChi2 = mcs->fitParams(i)->getRealValue("chi2")/mcs->fitParams(i)->getRealValue("ndof");
//if(normChi2>0.5 && normChi2<1.5 && fitN>-3 && fitN<3 && fitNerr < 1.7 &&nSR>=0){
//if(i<6)
//printf("PSE %d: Fit status=%d, nbkggen=%f, numdata=%f, nbkgfit=%f, nsigfit=%f, p8=%f, p9=%f\n",i,mcs->fitResult(i)->status(),genDataset->sumEntries(),data->sumEntries(),mcs->fitParams(i)->getRealValue("nbkg"),mcs->fitParams(i)->getRealValue("nsig"),mcs->fitParams(i)->getRealValue("p8"),mcs->fitParams(i)->getRealValue("p9"));
if(fitN>-0.75*sigFrac*genDataset->sumEntries() ){//the minimum for nsig is -1*sigFrac*data->sumData() so make sure the fit isn't pressed against the boundary. that hints at failure
pulls.push_back((0-fitN)/(fitNerr));
}
}
for(int i=0; i<pulls.size(); ++i){
for(int j=i; j<pulls.size(); ++j){
if(pulls[i]>pulls[j]){
float tmp=pulls[i];
pulls[i]=pulls[j];
pulls[j]=tmp;
}}}
if(pulls.size()==0)
results[k] = -9999;
else if(pulls.size()%2==0)
results[k] = 0.5*(pulls[pulls.size()/2]+pulls[pulls.size()/2-1]);
else
results[k] = pulls[pulls.size()/2];
if(pulls.size()==0){ pulls.push_back(-9999); pulls.push_back(-9998);}
float h1_low=0, h1_high=0;
if (c==0 || c==2){
h1_low=-1;
h1_high=1;
}
else{
h1_low=-2;
h1_high=2;
}
TH1F *h1 = new TH1F("h1","",50,h1_low,h1_high);
h1->GetXaxis()->SetTitle("pull(N_{bgd}^{SR})");
for(int i=0; i<pulls.size(); i++) h1->Fill(pulls[i]);
TCanvas *c0 = new TCanvas("c0","c0",700,500);
h1->SetMaximum(h1->GetMaximum()*1.50);
h1->Draw();
TFitResultPtr pullFit;
if(h1->Integral()>4){
//pullFit = h1->Fit("gaus","s");
TLatex *lat1 = new TLatex(h1_low+0.3,0.85*h1->GetMaximum(),"#splitline{#scale[1.0]{CMS Preliminary}}{#scale[0.8]{#sqrt{s} = 8 TeV}}");
//lat1->Draw();
//TLatex *lat12 = new TLatex(0.8,0.60*h1->GetMaximum(),TString::Format("#splitline{#scale[1.0]{#mu = %.2f #pm %.2f}}{#scale[1.0]{#sigma = %.2f #pm %.2f}}",pullFit->GetParams()[1],pullFit->GetErrors()[1],pullFit->GetParams()[2],pullFit->GetErrors()[2]));
//lat12->SetTextColor(kRed);
//lat12->Draw();
TLatex *lat13 = new TLatex();
lat13->DrawLatex(h1_low+0.15,0.91*h1->GetMaximum(),TString::Format("Num PSE: %d",pulls.size()) );
lat13->DrawLatex(h1_low+0.15,0.85*h1->GetMaximum(),TString::Format("Gen function: %.5s,%.5s",MggBkgTruth->GetName(),MjjBkgTruth->GetName()) );
lat13->DrawLatex(h1_low+0.15,0.79*h1->GetMaximum(),TString::Format("Fit function: %.5s,%.5s",MggBkgTmp[k]->GetName(),MjjBkgTmp[k]->GetName()) );
lat13->DrawLatex(h1_low+0.15,0.73*h1->GetMaximum(),TString::Format("Median = %.2f ",results[k]) );
lat13->DrawLatex(h1_low+0.15,0.67*h1->GetMaximum(),TString::Format("N_{gen}^{SR} = %.2f ",n_gen_sr) );
}
else{
TLatex *lat13 = new TLatex();