TestSPlot.C

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/// \file
/// \ingroup tutorial_splot
/// This tutorial illustrates the use of class TSPlot and of the sPlots method
///
/// It is an example of analysis of charmless B decays, performed for BABAR.
/// One is dealing with a data sample in which two species are present:
/// the first is termed signal and the second background.
/// A maximum Likelihood fit is performed to obtain the two yields N1 and N2
/// The fit relies on two discriminating variables collectively denoted y,
/// which are chosen within three possible variables denoted Mes, dE and F.
/// The variable which is not incorporated in y, is used as the control variable x.
/// The distributions of discriminating variables and more details about the method
/// can be found in the TSPlot class description
///
/// NOTE: This script requires a data file `$ROOTSYS/tutorials/splot/TestSPlot_toyMC.dat`.
///
/// \notebook -js
/// \macro_image
/// \macro_output
/// \macro_code
///
/// \authors Anna Kreshuk, Muriel Pivc

#include "TSPlot.h"
#include "TTree.h"
#include "TH1.h"
#include "TCanvas.h"
#include "TFile.h"
#include "TPaveLabel.h"
#include "TPad.h"
#include "TPaveText.h"
#include "Riostream.h"

void TestSPlot()
{
   TString dir = gSystem->UnixPathName(__FILE__);
   dir.ReplaceAll("TestSPlot.C","");
   dir.ReplaceAll("/./","/");
   TString dataFile = Form("%sTestSPlot_toyMC.dat",dir.Data());

   //Read the data and initialize a TSPlot object
   TTree *datatree = new TTree("datatree", "datatree");
   datatree->ReadFile(dataFile,
                      "Mes/D:dE/D:F/D:MesSignal/D:MesBackground/D:dESignal/D:dEBackground/D:FSignal/D:FBackground/D",' ');

   TSPlot *splot = new TSPlot(0, 3, 5420, 2, datatree);

   //Set the selection for data tree
   //Note the order of the variables:
   //first the control variables (not presented in this example),
   //then the 3 discriminating variables, then their probability distribution
   //functions for the first species(signal) and then their pdfs for the
   //second species(background)
   splot->SetTreeSelection(
      "Mes:dE:F:MesSignal:dESignal:FSignal:MesBackground:"
      "dEBackground:FBackground");

   //Set the initial estimates of the number of events in each species
   //- used as initial parameter values for the Minuit likelihood fit
   Int_t ne[2];
   ne[0]=500; ne[1]=5000;
   splot->SetInitialNumbersOfSpecies(ne);

   //Compute the weights
   splot->MakeSPlot();

   //Fill the sPlots
   splot->FillSWeightsHists(25);

   //Now let's look at the sPlots
   //The first two histograms are sPlots for the Mes variable signal and
   //background. dE and F were chosen as discriminating variables to determine
   //N1 and N2, through a maximum Likelihood fit, and thus the sPlots for the
   //control variable Mes, unknown to the fit, was constructed.
   //One can see that the sPlot for signal reproduces the PDF correctly,
   //even when the latter vanishes.
   //
   //The lower two histograms are sPlots for the F variables signal and
   //background. dE and Mes were chosen as discriminating variables to
   //determine N1 and N2, through a maximum Likelihood fit, and thus the
   //sPlots for the control variable F, unknown to the fit, was constructed.

   TCanvas *myc = new TCanvas("myc",
   "sPlots of Mes and F signal and background", 800, 600);
   myc->SetFillColor(40);

   TPaveText *pt = new TPaveText(0.02,0.85,0.98,0.98);
   pt->SetFillColor(18);
   pt->SetTextFont(20);
   pt->SetTextColor(4);
   pt->AddText("sPlots of Mes and F signal and background,");
   pt->AddText("obtained by the tutorial TestSPlot.C on BABAR MC "
               "data (sPlot_toyMC.fit)");
   TText *t3=pt->AddText(
      "M. Pivk and F. R. Le Diberder, Nucl.Inst.Meth.A, physics/0402083");
   t3->SetTextColor(1);
   t3->SetTextFont(30);
   pt->Draw();

   TPad* pad1 = new TPad("pad1","Mes signal",0.02,0.43,0.48,0.83,33);
   TPad* pad2 = new TPad("pad2","Mes background",0.5,0.43,0.98,0.83,33);
   TPad* pad3 = new TPad("pad3", "F signal", 0.02, 0.02, 0.48, 0.41,33);
   TPad* pad4 = new TPad("pad4", "F background", 0.5, 0.02, 0.98, 0.41,33);
   pad1->Draw();
   pad2->Draw();
   pad3->Draw();
   pad4->Draw();

   pad1->cd();
   pad1->SetGrid();
   TH1D *sweight00 = splot->GetSWeightsHist(-1, 0, 0);
   sweight00->SetTitle("Mes signal");
   sweight00->SetStats(kFALSE);
   sweight00->Draw("e");
   sweight00->SetMarkerStyle(21);
   sweight00->SetMarkerSize(0.7);
   sweight00->SetMarkerColor(2);
   sweight00->SetLineColor(2);
   sweight00->GetXaxis()->SetLabelSize(0.05);
   sweight00->GetYaxis()->SetLabelSize(0.06);
   sweight00->GetXaxis()->SetLabelOffset(0.02);

   pad2->cd();
   pad2->SetGrid();
   TH1D *sweight10 = splot->GetSWeightsHist(-1, 1, 0);
   sweight10->SetTitle("Mes background");
   sweight10->SetStats(kFALSE);
   sweight10->Draw("e");
   sweight10->SetMarkerStyle(21);
   sweight10->SetMarkerSize(0.7);
   sweight10->SetMarkerColor(2);
   sweight10->SetLineColor(2);
   sweight10->GetXaxis()->SetLabelSize(0.05);
   sweight10->GetYaxis()->SetLabelSize(0.06);
   sweight10->GetXaxis()->SetLabelOffset(0.02);

   pad3->cd();
   pad3->SetGrid();
   TH1D *sweight02 = splot->GetSWeightsHist(-1, 0, 2);
   sweight02->SetTitle("F signal");
   sweight02->SetStats(kFALSE);
   sweight02->Draw("e");
   sweight02->SetMarkerStyle(21);
   sweight02->SetMarkerSize(0.7);
   sweight02->SetMarkerColor(2);
   sweight02->SetLineColor(2);
   sweight02->GetXaxis()->SetLabelSize(0.06);
   sweight02->GetYaxis()->SetLabelSize(0.06);
   sweight02->GetXaxis()->SetLabelOffset(0.01);

   pad4->cd();
   pad4->SetGrid();
   TH1D *sweight12 = splot->GetSWeightsHist(-1, 1, 2);
   sweight12->SetTitle("F background");
   sweight12->SetStats(kFALSE);
   sweight12->Draw("e");
   sweight12->SetMarkerStyle(21);
   sweight12->SetMarkerSize(0.7);
   sweight12->SetMarkerColor(2);
   sweight12->SetLineColor(2);
   sweight12->GetXaxis()->SetLabelSize(0.06);
   sweight12->GetYaxis()->SetLabelSize(0.06);
   sweight02->GetXaxis()->SetLabelOffset(0.01);
   myc->cd();
}