makeExample.C

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void makeDataDriven()
{
 
   TH1F *FlatHist = new TH1F("FlatHist", "FlatHist", 2, 0, 2);
   FlatHist->SetBinContent(1, 1.0);
   FlatHist->SetBinContent(2, 1.0);
 
   TH1F *Signal = new TH1F("Signal", "Signal", 2, 0, 2);
   Signal->SetBinContent(1, 10);
   Signal->SetBinContent(2, 80);
 
   // MC Background
   TH1F *Background1 = new TH1F("Background1", "Background1", 2, 0, 2);
   Background1->SetBinContent(1, 20);
   Background1->SetBinContent(2, 20);
 
   // This is the "Data-Driven" measurement
   // that represents Background2
   // Assume the extrapolation factor is 1.0
   TH1F *ControlRegion = new TH1F("ControlRegion", "ControlRegion", 2, 0, 2);
   ControlRegion->SetBinContent(1, 75);
   ControlRegion->SetBinContent(2, 35);
 
   TH1F *StatUncert = new TH1F("StatUncert", "StatUncert", 2, 0, 2);
   StatUncert->SetBinContent(1, .15); // 15% uncertainty
   StatUncert->SetBinContent(2, .15); // 15% uncertainty
 
   TH1F *data = new TH1F("data", "data", 2, 0, 2);
   data->SetBinContent(1, 90);
   data->SetBinContent(2, 110);
 
   auto file = std::make_unique<TFile>("dataDriven.root", "RECREATE");
   for (auto histo : std::initializer_list<TH1 *>{FlatHist, Signal, Background1, ControlRegion, StatUncert, data}) {
      file->WriteTObject(histo);
      delete histo;
   }
}
 
void makeShapeSys2DDataset()
{
 
   TH2F *signal = new TH2F("signal", "signal", 2, 0, 2, 2, 0, 2);
   signal->SetBinContent(1, 1, 10);
   signal->SetBinContent(2, 1, 10);
   signal->SetBinContent(1, 2, 20);
   signal->SetBinContent(2, 2, 20);
 
   // Background 1
   TH2F *background1 = new TH2F("background1", "background1", 2, 0, 2, 2, 0, 2);
   background1->SetBinContent(1, 1, 100);
   background1->SetBinContent(2, 1, 100);
   background1->SetBinContent(1, 2, 10);
   background1->SetBinContent(2, 2, 10);
 
   // Background 1 Error
   TH2F *bkg1ShapeError = new TH2F("bkg1ShapeError", "bkg1ShapeError", 2, 0, 2, 2, 0, 2);
   bkg1ShapeError->SetBinContent(1, 1, .10); // 10%
   bkg1ShapeError->SetBinContent(2, 1, .15); // 15%
   bkg1ShapeError->SetBinContent(1, 2, .10); // 10%
   bkg1ShapeError->SetBinContent(2, 2, .15); // 15%
 
   // Background 2
   TH2F *background2 = new TH2F("background2", "background2", 2, 0, 2, 2, 0, 2);
   background2->SetBinContent(1, 1, 10);
   background2->SetBinContent(2, 1, 10);
   background2->SetBinContent(1, 2, 100);
   background2->SetBinContent(2, 2, 100);
 
   // Background 2 Error
   TH2F *bkg2ShapeError = new TH2F("bkg2ShapeError", "bkg2ShapeError", 2, 0, 2, 2, 0, 2);
   bkg2ShapeError->SetBinContent(1, 1, .05); // 5%
   bkg2ShapeError->SetBinContent(2, 1, .20); // 20%
   bkg2ShapeError->SetBinContent(1, 2, .05); // 5%
   bkg2ShapeError->SetBinContent(2, 2, .20); // 20%
 
   TH2F *data = new TH2F("data", "data", 2, 0, 2, 2, 0, 2);
   data->SetBinContent(1, 1, 122);
   data->SetBinContent(2, 1, 122);
   data->SetBinContent(1, 2, 132);
   data->SetBinContent(2, 2, 132);
 
   auto file = std::make_unique<TFile>("ShapeSys2D.root", "RECREATE");
   for (auto histo : {signal, background1, bkg1ShapeError, background2, bkg2ShapeError, data}) {
      file->WriteTObject(histo);
      delete histo;
   }
}
 
void makeShapeSysDataset()
{
 
   TH1F *signal = new TH1F("signal", "signal", 2, 0, 2);
   signal->SetBinContent(1, 20);
   signal->SetBinContent(2, 10);
 
   // Background 1
   TH1F *background1 = new TH1F("background1", "background1", 2, 0, 2);
   background1->SetBinContent(1, 100);
   background1->SetBinContent(2, 0);
 
   // Background 1 Error
   TH1F *bkg1ShapeError = new TH1F("bkg1ShapeError", "bkg1ShapeError", 2, 0, 2);
   bkg1ShapeError->SetBinContent(1, .10); // 10%
   bkg1ShapeError->SetBinContent(2, .15); // 15%
 
   // Background 2
   TH1F *background2 = new TH1F("background2", "background2", 2, 0, 2);
   background2->SetBinContent(1, 0);
   background2->SetBinContent(2, 100);
 
   // Background 2 Error
   TH1F *bkg2ShapeError = new TH1F("bkg2ShapeError", "bkg2ShapeError", 2, 0, 2);
   bkg2ShapeError->SetBinContent(1, .05); // 5%
   bkg2ShapeError->SetBinContent(2, .20); // 20%
 
   TH1F *data = new TH1F("data", "data", 2, 0, 2);
   data->SetBinContent(1, 122);
   data->SetBinContent(2, 112);
 
   auto file = std::make_unique<TFile>("ShapeSys.root", "RECREATE");
   for (auto histo : {signal, background1, bkg1ShapeError, background2, bkg2ShapeError, data}) {
      file->WriteTObject(histo);
      delete histo;
   }
}
 
void makeStatErrorDataSet()
{
   TH1F *FlatHist = new TH1F("FlatHist", "FlatHist", 2, 0, 2);
   FlatHist->SetBinContent(1, 1.0);
   FlatHist->SetBinContent(2, 1.0);
 
   TH1F *signal = new TH1F("signal", "signal", 2, 0, 2);
   signal->SetBinContent(1, 20);
   signal->SetBinContent(2, 10);
 
   // MC background
   TH1F *background1 = new TH1F("background1", "background1", 2, 0, 2);
   background1->SetBinContent(1, 100);
   background1->SetBinContent(2, 0);
 
   // A small statistical uncertainty
   TH1F *bkg1StatUncert = new TH1F("bkg1StatUncert", "bkg1StatUncert", 2, 0, 2);
   bkg1StatUncert->SetBinContent(1, .05); // 5%  uncertainty
   bkg1StatUncert->SetBinContent(2, .10); // 10% uncertainty
 
   // MC background
   TH1F *background2 = new TH1F("background2", "background2", 2, 0, 2);
   background2->SetBinContent(1, 0);
   background2->SetBinContent(2, 100);
 
   TH1F *data = new TH1F("data", "data", 2, 0, 2);
   data->SetBinContent(1, 122);
   data->SetBinContent(2, 112);
 
   auto file = std::make_unique<TFile>("StatError.root", "RECREATE");
   for (auto histo : {FlatHist, signal, background1, bkg1StatUncert, background2, data}) {
      file->WriteTObject(histo);
      delete histo;
   }
}
 
void makeSimpleExample()
{
   TH1F *data = new TH1F("data", "data", 2, 1, 2);
   TH1F *signal = new TH1F("signal", "signal histogram (pb)", 2, 1, 2);
   TH1F *background1 = new TH1F("background1", "background 1 histogram (pb)", 2, 1, 2);
   TH1F *background2 = new TH1F("background2", "background 2 histogram (pb)", 2, 1, 2);
   TH1F *statUncert = new TH1F("background1_statUncert", "statUncert", 2, 1, 2);
 
   // run with 1 pb
   data->SetBinContent(1, 122);
   data->SetBinContent(2, 112);
 
   signal->SetBinContent(1, 20);
   signal->SetBinContent(2, 10);
 
   background1->SetBinContent(1, 100);
   background2->SetBinContent(2, 100);
 
   // A small statistical uncertainty
   statUncert->SetBinContent(1, .05); // 5% uncertainty
   statUncert->SetBinContent(2, .05); // 5% uncertainty
 
   auto example = std::make_unique<TFile>("example.root", "RECREATE");
   for (auto histo : {data, signal, background1, background2, statUncert}) {
      example->WriteTObject(histo);
      delete histo;
   }
}
 
void makeExample()
{
   makeDataDriven();
   makeShapeSys2DDataset();
   makeShapeSysDataset();
   makeStatErrorDataSet();
   makeSimpleExample();
}