#ifndef __CINT__ #include "RooGlobalFunc.h" #endif #include "RooAbsReal.h" #include "RooRealVar.h" #include "RooDataSet.h" #include "RooGaussian.h" #include "RooConstVar.h" #include "RooGaussModel.h" #include "RooDecay.h" #include "RooLandau.h" #include "RooPlot.h" #include "TCanvas.h" #include "TAxis.h" #include "TH2D.h" using namespace RooFit ; void rf306_condpereventerrors() { // B - p h y s i c s p d f w i t h p e r - e v e n t G a u s s i a n r e s o l u t i o n // ---------------------------------------------------------------------------------------------- // Observables RooRealVar dt("dt","dt",-3,20) ; RooRealVar dterr("dterr","per-event error on dt",0.01,10) ; // Build a gaussian resolution model scaled by the per-event error = gauss(dt,bias,sigma*dterr) RooRealVar bias("bias","bias",0,-10,10) ; RooRealVar sigma("sigma","per-event error scale factor",1,0.1,10) ; RooGaussModel gm("gm1","gauss model scaled bt per-event error",dt,bias,sigma,dterr) ; // Construct decay(dt) (x) gauss1(dt|dterr) RooRealVar tauone("tauone","tauone",1.548) ; RooDecay decayone_gm("decayone_gm","decayone",dt,tauone,gm,RooDecay::SingleSided) ; RooRealVar tautwo("tautwo","tautwo",3.48) ; RooDecay decaytwo_gm("decaytwo_gm","decaytwo",dt,tautwo,gm,RooDecay::DoubleSided) ; RooRealVar decfrac("decfrac","decfrac",0.8); RooAddPdf decaysum_gm("decaysum_gm","decay_gm",RooArgList(decayone_gm,decaytwo_gm),RooArgList(decfrac)); RooRealVar yield("yield","yield",5000,25000); RooExtendPdf decay_gm("decay_gm","decay_gm",decaysum_gm,yield); // C o n s t r u c t f a k e ' e x t e r n a l ' d a t a w i t h p e r - e v e n t e r r o r // ------------------------------------------------------------------------------------------------------ // Use landau p.d.f to get somewhat realistic distribution with long tail RooLandau pdfDtErr("pdfDtErr","pdfDtErr",dterr,RooConst(1),RooConst(0.25)) ; RooDataSet* expDataDterr = pdfDtErr.generate(dterr,20000) ; // S a m p l e d a t a f r o m c o n d i t i o n a l d e c a y _ g m ( d t | d t e r r ) // --------------------------------------------------------------------------------------------- // Specify external dataset with dterr values to use decay_dm as conditional p.d.f. RooDataSet* data = decaysum_gm.generate(dt,ProtoData(*expDataDterr)) ; // F i t c o n d i t i o n a l d e c a y _ d m ( d t | d t e r r ) // --------------------------------------------------------------------- // Specify dterr as conditional observable decay_gm.fitTo(*data,Save(),ConditionalObservables(dterr),Extended()) ; // P l o t c o n d i t i o n a l d e c a y _ d m ( d t | d t e r r ) // --------------------------------------------------------------------- // Make two-dimensional plot of conditional p.d.f in (dt,dterr) TH1* hh_decay = decay_gm.createHistogram("hh_decay",dt,Binning(50),YVar(dterr,Binning(50))) ; hh_decay->SetLineColor(kBlue) ; // Plot decay_gm(dt|dterr) at various values of dterr RooPlot* frame = dt.frame(Title("Slices of decay(dt|dterr) at various dterr")) ; for (Int_t ibin=0 ; ibin<100 ; ibin+=20) { dterr.setBin(ibin) ; decay_gm.plotOn(frame,Normalization(5.)) ; } // Make projection of data an dt RooPlot* frame2 = dt.frame(Title("Projection of decay(dt|dterr) on dt")) ; data->plotOn(frame2) ; // Make projection of decay(dt|dterr) on dt. // // Instead of integrating out dterr, make a weighted average of curves // at values dterr_i as given in the external dataset. // (The kTRUE argument bins the data before projection to speed up the process) decay_gm.plotOn(frame2,ProjWData(*expDataDterr,kTRUE),LineColor(kRed)) ; // Draw all frames on canvas TCanvas* c = new TCanvas("rf306_condpereventerrors","rf306_condperventerrors",1200, 400); c->Divide(3) ; c->cd(1) ; gPad->SetLeftMargin(0.20) ; hh_decay->GetZaxis()->SetTitleOffset(2.5) ; hh_decay->Draw("surf") ; c->cd(2) ; gPad->SetLeftMargin(0.15) ; frame->GetYaxis()->SetTitleOffset(1.6) ; frame->Draw() ; c->cd(3) ; gPad->SetLeftMargin(0.15) ; frame2->GetYaxis()->SetTitleOffset(1.6) ; frame2->Draw() ; }