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dataFit.py
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dataFit.py
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#!/usr/bin/python
from ROOT import gSystem
gSystem.Load('My_double_CB/My_double_CB_cxx')
from ROOT import My_double_CB
from ROOT import RooDataSet, RooRealVar, RooArgSet, RooFormulaVar, RooGenericPdf, RooCmdArg, RooStats
from ROOT import RooCBShape, RooAddPdf, RooArgList, RooPlot, RooDataHist, RooFitResult, RooAbsPdf, RooGaussian, RooChebychev
from ROOT import RooFit, gROOT, TStyle, gStyle, gPad
from ROOT import TFile, TCanvas, TH1F, TGraphErrors, TPad, TLegend, TPaveText, TMultiGraph, TGraphErrors, TMath, TLine
from ROOT import TH1D, TH1F, TTree, RooHistPdf
import ROOT
import sys, getopt
#import ChicUtils
from array import array
#from numpy import savetxt
from pyUtils import *
def doDataFit(Chib1_parameters,Chib2_parameters, cuts, inputfile_name = None, RooDataSet = None, ptBin_label='', plotTitle = "#chi_{b}",fittedVariable='qValue', printSigReso = False, noPlots = False, useOtherSignalParametrization = False, useOtherBackgroundParametrization = False, massFreeToChange = False, sigmaFreeToChange = False, legendOnPlot=True, drawPulls=False, titleOnPlot=False, cmsOnPlot=True, printLegend=True):
if RooDataSet != None:
dataSet = RooDataSet
elif inputfile_name != None:
print "Creating DataSet from file "+str(inputfile_name)
dataSet = makeRooDataset(inputfile_name)
else:
raise ValueError('No dataset and no inputfile passed to function doDataFit')
if(fittedVariable == 'refittedMass'):
x_var = 'rf1S_chib_mass'
output_suffix = '_refit'
x_axis_label= 'm_{#mu^{+} #mu^{-} #gamma} [GeV]'
else:
x_var = 'invm1S'
output_suffix = '_qValue'
x_axis_label = 'm_{#gamma #mu^{+} #mu^{-}} - m_{#mu^{+} #mu^{-}} + m^{PDG}_{#Upsilon} [GeV]'
cuts_str = str(cuts)
#cuts_str = quality_cut + "photon_pt > 0.5 && abs(photon_eta) < 1.0 && ctpv < 0.01 && abs(dimuon_rapidity) < 1.3 && pi0_abs_mass > 0.025 && abs(dz) < 0.5"
data = dataSet.reduce( RooFit.Cut(cuts_str) )
print 'Creating pdf'
x=RooRealVar(x_var, 'm(#mu #mu #gamma) - m(#mu #mu) + m_{#Upsilon}',9.7,10.1,'GeV')
numBins = 80 # define here so that if I change it also the ndof change accordingly
x.setBins(numBins)
# cristal balls
mean_1 = RooRealVar("mean_1","mean ChiB1",Chib1_parameters.mean,"GeV")
sigma_1 = RooRealVar("sigma_1","sigma ChiB1",Chib1_parameters.sigma,'GeV')
a1_1 = RooRealVar('#alpha1_1', '#alpha1_1', Chib1_parameters.a1)
n1_1 = RooRealVar('n1_1', 'n1_1', Chib1_parameters.n1)
a2_1 = RooRealVar('#alpha2_1', '#alpha2_1',Chib1_parameters.a2)
n2_1 = RooRealVar('n2_1', 'n2_1', Chib1_parameters.n2)
parameters = RooArgSet(a1_1, a2_1, n1_1, n2_1)
mean_2 = RooRealVar("mean_2","mean ChiB2",Chib2_parameters.mean,"GeV")
sigma_2 = RooRealVar("sigma_2","sigma ChiB2",Chib2_parameters.sigma,'GeV')
a1_2 = RooRealVar('#alpha1_2', '#alpha1_2', Chib2_parameters.a1)
n1_2 = RooRealVar('n1_2', 'n1_2', Chib2_parameters.n1)
a2_2 = RooRealVar('#alpha2_2', '#alpha2_2', Chib2_parameters.a2)
n2_2 = RooRealVar('n2_2', 'n2_2', Chib2_parameters.n2)
parameters.add(RooArgSet( a1_2, a2_2, n1_2, n2_2))
if massFreeToChange:
# scale_mean = RooRealVar('scale_mean', 'Scale that multiplies masses found with MC', 0.8,1.2)
# mean_1_fixed = RooRealVar("mean_1_fixed","mean ChiB1",Chib1_parameters.mean,"GeV")
# mean_2_fixed = RooRealVar("mean_2_fixed","mean ChiB2",Chib2_parameters.mean,"GeV")
# mean_1 = RooFormulaVar("mean_1",'@0*@1', RooArgList(scale_mean, mean_1_fixed))
# mean_2 = RooFormulaVar("mean_2",'@0*@1', RooArgList(scale_mean, mean_2_fixed))
variazione_m = 0.05 # 50 MeV
diff_m_12 = RooRealVar('diff_m_12', 'Difference between masses chib1 and chib2',0.0194,'GeV') # 19.4 MeV from PDG
mean_1=RooRealVar("mean_1","mean ChiB1",Chib1_parameters.mean,Chib1_parameters.mean-variazione_m,Chib1_parameters.mean+variazione_m ,"GeV")
mean_2=RooFormulaVar('mean_2', '@0+@1',RooArgList(mean_1, diff_m_12))
# mean_2=RooRealVar("mean_2","mean ChiB2",Chib2_parameters.mean,Chib2_parameters.mean-variazione_m,Chib2_parameters.mean+variazione_m ,"GeV")
parameters.add(mean_1)
else:
parameters.add(RooArgSet(mean_1, mean_2))
chib1_pdf = My_double_CB('chib1', 'chib1', x, mean_1, sigma_1, a1_1, n1_1, a2_1, n2_1)
chib2_pdf = My_double_CB('chib2', 'chib2', x, mean_2, sigma_2, a1_2, n1_2, a2_2, n2_2)
if sigmaFreeToChange:
scale_sigma = RooRealVar('scale_sigma', 'Scale that multiplies sigmases found with MC', 1, 1.1)#1.01
sigma_1_fixed = RooRealVar("sigma_1","sigma ChiB1",Chib1_parameters.sigma,'GeV')
sigma_2_fixed = RooRealVar("sigma_2","sigma ChiB2",Chib2_parameters.sigma,'GeV')
sigma_1 = RooFormulaVar("sigma_1",'@0*@1', RooArgList(scale_sigma, sigma_1_fixed))
sigma_2 = RooFormulaVar("sigma_2",'@0*@1', RooArgList(scale_sigma, sigma_2_fixed))
parameters.add(scale_sigma)
else:
parameters.add(RooArgSet(sigma_1, sigma_2))
chib1_pdf = My_double_CB('chib1', 'chib1', x, mean_1, sigma_1, a1_1, n1_1, a2_1, n2_1)
chib2_pdf = My_double_CB('chib2', 'chib2', x, mean_2, sigma_2, a1_2, n1_2, a2_2, n2_2)
if useOtherSignalParametrization: # In this case I redefine cb_pdf
cb1 = RooCBShape('cb1', 'cb1', x, mean_1, sigma_1, a1_1, n1_1)
cb2 = RooCBShape('cb2', 'cb2', x, mean_2, sigma_2, a1_2, n1_2)
# I use a2 as the sigma of my gaussian
gauss1 = RooCBShape('gauss1', 'gauss1',x, mean_1, a2_1, a1_1, n1_1)
gauss2 = RooCBShape('gauss2', 'gauss2',x, mean_2, a2_2, a1_2, n1_2)
# I use n2 as the ratio of cb with respect to gauss
chib1_pdf = RooAddPdf('chib1','chib1',RooArgList(cb1, gauss1),RooArgList(n2_1))
chib2_pdf = RooAddPdf('chib2','chib2',RooArgList(cb2, gauss2),RooArgList(n2_2))
#background
q01S_Start = 9.5
alpha = RooRealVar("#alpha","#alpha",1.5,-1,3.5)#0.2 anziche' 1
beta = RooRealVar("#beta","#beta",-2.5,-7.,0.)
q0 = RooRealVar("q0","q0",q01S_Start)#,9.5,9.7)
delta = RooFormulaVar("delta","TMath::Abs(@0-@1)",RooArgList(x,q0))
b1 = RooFormulaVar("b1","@0*(@1-@2)",RooArgList(beta,x,q0))
signum1 = RooFormulaVar( "signum1","( TMath::Sign( -1.,@0-@1 )+1 )/2.", RooArgList(x,q0) )
background = RooGenericPdf("background","Background", "signum1*pow(delta,#alpha)*exp(b1)", RooArgList(signum1,delta,alpha,b1) )
if useOtherBackgroundParametrization: # in thies case I redefine background
a0 = RooRealVar('a0','a0',1.,-1.,1.) #,0.5,0.,1.)
a1 = RooRealVar('a1','a1',0.1,-1.,1.) #-0.2,0.,1.)
#a2 = RooRealVar('a2','a2',-0.1,1.,-1.)
background = RooChebychev('background','Background',x,RooArgList(a0,a1))
parameters.add(RooArgSet(a0, a1))
else:
parameters.add(RooArgSet(alpha, beta, q0))
#together
chibs = RooArgList(chib1_pdf,chib2_pdf,background)
# ndof
floatPars = parameters.selectByAttrib("Constant",ROOT.kFALSE)
ndof = numBins - floatPars.getSize() - 1
# # Here I have as parameters N1, N2, and N_background
# n_chib1 = RooRealVar("n_chib1","n_chib1",1250, 0, 50000)
# n_chib2 = RooRealVar("n_chib2","n_chib2",825, 0, 50000)
# n_background = RooRealVar('n_background','n_background',4550, 0, 50000)
# ratio_list = RooArgList(n_chib1, n_chib2, n_background)
# modelPdf = RooAddPdf('ModelPdf', 'ModelPdf', chibs, ratio_list)
# Here I have as parameters N_12, ratio_12, N_background
n_chib = RooRealVar("n_chib","n_chib",2075, 0, 100000)
ratio_21 = RooRealVar("ratio_21","ratio_21",0.6, 0, 1)
n_chib1 = RooFormulaVar("n_chib1","@0/(1+@1)",RooArgList(n_chib, ratio_21))
n_chib2 = RooFormulaVar("n_chib2","@0/(1+1/@1)",RooArgList(n_chib, ratio_21))
n_background = RooRealVar('n_background','n_background',4550, 0, 50000)
ratio_list = RooArgList(n_chib1, n_chib2, n_background)
parameters.add(RooArgSet(n_chib1, n_chib2, n_background))
modelPdf = RooAddPdf('ModelPdf', 'ModelPdf', chibs, ratio_list)
print 'Fitting to data'
fit_region = x.setRange("fit_region",9.7,10.1)
result=modelPdf.fitTo(data,RooFit.Save(), RooFit.Range("fit_region"))
# define frame
frame = x.frame()
frame.SetNameTitle("fit_resonance","Fit Resonanace")
frame.GetXaxis().SetTitle(x_axis_label )
frame.GetYaxis().SetTitle( "Events/5 MeV " )
frame.GetXaxis().SetTitleSize(0.04)
frame.GetYaxis().SetTitleSize(0.04)
frame.GetXaxis().SetTitleOffset(1.1)
frame.GetXaxis().SetLabelSize(0.04)
frame.GetYaxis().SetLabelSize(0.04)
frame.SetLineWidth(1)
frame.SetTitle(plotTitle)
# plot things on frame
data.plotOn(frame, RooFit.MarkerSize(0.7))
chib1P_set = RooArgSet(chib1_pdf)
modelPdf.plotOn(frame,RooFit.Components(chib1P_set), RooFit.LineColor(ROOT.kGreen+2), RooFit.LineStyle(2), RooFit.LineWidth(1))
chib2P_set = RooArgSet(chib2_pdf)
modelPdf.plotOn(frame, RooFit.Components(chib2P_set),RooFit.LineColor(ROOT.kRed), RooFit.LineStyle(2), RooFit.LineWidth(1))
background_set = RooArgSet(background)
modelPdf.plotOn(frame,RooFit.Components(background_set), RooFit.LineColor(ROOT.kBlack), RooFit.LineStyle(2), RooFit.LineWidth(1))
modelPdf.plotOn(frame, RooFit.LineWidth(2))
frame.SetName("fit_resonance")
# Make numChib object
numChib = NumChib(numChib=n_chib.getVal(), s_numChib=n_chib.getError(), ratio_21=ratio_21.getVal(), s_ratio_21=ratio_21.getError(), numBkg=n_background.getVal(), s_numBkg=n_background.getError(), corr_NB=result.correlation(n_chib, n_background),corr_NR=result.correlation(n_chib, ratio_21) , name='numChib'+output_suffix+ptBin_label,q0=q0.getVal(),s_q0=q0.getError(),alpha=alpha.getVal(),s_alpha=alpha.getError(), beta=beta.getVal(), s_beta=beta.getError(), chiSquare=frame.chiSquare())
#numChib.saveToFile('numChib'+output_suffix+'.txt')
if noPlots:
chi2 = frame.chiSquare()
del frame
return numChib, chi2
# Legend
parameters_on_legend = RooArgSet()#n_chib, ratio_21, n_background)
if massFreeToChange:
#parameters_on_legend.add(scale_mean)
parameters_on_legend.add(mean_1)
#parameters_on_legend.add(mean_2)
if sigmaFreeToChange:
parameters_on_legend.add(scale_sigma)
if massFreeToChange or sigmaFreeToChange:
modelPdf.paramOn(frame, RooFit.Layout(0.1,0.6,0.2),RooFit.Parameters(parameters_on_legend))
if printLegend: #chiquadro, prob, numchib...
leg = TLegend(0.48,0.75,0.97,0.95)
leg.SetBorderSize(0)
#leg.SetTextSize(0.04)
leg.SetFillStyle(0)
chi2 = frame.chiSquare()
probChi2 = TMath.Prob(chi2*ndof, ndof)
chi2 = round(chi2,2)
probChi2 = round(probChi2,2)
leg.AddEntry(0,'#chi^{2} = '+str(chi2),'')
leg.AddEntry(0,'Prob #chi^{2} = '+str(probChi2),'')
N_bkg, s_N_bkg = roundPair(numChib.numBkg, numChib.s_numBkg)
leg.AddEntry(0,'N_{bkg} = '+str(N_bkg)+' #pm '+str(s_N_bkg),'')
N_chib12, s_N_chib12 = roundPair(numChib.numChib, numChib.s_numChib)
leg.AddEntry(0,'N_{#chi_{b}} = '+str(N_chib12)+' #pm '+str(s_N_chib12),'')
Ratio = numChib.calcRatio()
s_Ratio = numChib.calcRatioError()
Ratio, s_Ratio = roundPair(Ratio, s_Ratio)
leg.AddEntry(0,'N_{2}/N_{1} = '+str(Ratio)+' #pm '+str(s_Ratio),'')
if printSigReso: # Add Significance
Sig = numChib.calcSignificance()
s_Sig = numChib.calcSignificanceError()
Sig, s_Sig = roundPair(Sig, s_Sig)
leg.AddEntry(0,'Sig = '+str(Sig)+' #pm '+str(s_Sig),'')
if(Chib1_parameters.sigma>Chib2_parameters.sigma):
Reso = Chib1_parameters.sigma * 1000 # So it's in MeV and not in GeV
s_Reso = Chib1_parameters.s_sigma * 1000 # So it's in MeV and not in GeV
else:
Reso = Chib2_parameters.sigma * 1000 # So it's in MeV and not in GeV
s_Reso = Chib2_parameters.s_sigma * 1000 # So it's in MeV and not in GeV
Reso, s_Reso =roundPair(Reso, s_Reso)
leg.AddEntry(0,'Reso = '+str(Reso)+' #pm '+str(s_Reso)+' MeV','')
#N1 = numChib.numChib1
#s_N1 = numChib.s_numChib1
#N1, s_N1 = roundPair(N1, s_N1)
#leg.AddEntry(0,'N_{1} = '+str(N1)+' #pm '+str(s_N1),'')
#N2 = numChib.numChib2
#s_N2 = numChib.s_numChib2
#N2, s_N2 = roundPair(N2, s_N2)
#leg.AddEntry(0,'N_{2} = '+str(N2)+' #pm '+str(s_N2),'')
frame.addObject(leg)
if legendOnPlot: # < pT <
legend = TLegend(.06,.75,.53,.93)
legend.SetFillStyle(0)
legend.SetBorderSize(0)
#legend.AddEntry(0,'CMS','')
legend.AddEntry(0,str(cuts.upsilon_pt_lcut)+' GeV < p_{T}(#Upsilon) < '+str(cuts.upsilon_pt_hcut)+' GeV','')
#legend.AddEntry(0,'p_{T}(#Upsilon)<'+str(cuts.upsilon_pt_hcut),'')
frame.addObject(legend)
if titleOnPlot:
titleLegend = TLegend(.06,.4,.55,.73)
#titleLegend.SetTextSize(0.03)
titleLegend.SetFillStyle(0)
titleLegend.SetBorderSize(0)
titleLegend.AddEntry(0,plotTitle,'')
frame.addObject(titleLegend)
if cmsOnPlot:
if printLegend:
pvtxt = TPaveText(.1,.55,.55,.73,"NDC")
else:
pvtxt = TPaveText(0.5,0.75,0.97,0.9,"NDC") #(.06,.4,.55,.73)
pvtxt.AddText('CMS Preliminary')
pvtxt.AddText('pp, #sqrt{s} = 8 TeV')
pvtxt.AddText('L = 20.7 fb^{-1}')
pvtxt.SetFillStyle(0)
pvtxt.SetBorderSize(0)
pvtxt.SetTextSize(0.04)
frame.addObject(pvtxt)
# Canvas
c1=TCanvas('Chib12_1P'+output_suffix+ptBin_label,'Chib12_1P'+output_suffix+ptBin_label)
frame.Draw()
if drawPulls:
#c1=TCanvas(output_name+output_suffix,output_name+output_suffix,700, 625)
hpull = frame.pullHist()
framePulls = x.frame()
framePulls.SetTitle(';;Pulls')
framePulls.GetYaxis().SetLabelSize(0.18)
framePulls.GetYaxis().SetTitle('Pulls')
framePulls.GetYaxis().SetTitleSize(0.18)
framePulls.GetYaxis().SetTitleOffset(0.15)
framePulls.GetYaxis().SetNdivisions(005)
framePulls.GetXaxis().SetLabelSize(0.16)
framePulls.GetXaxis().SetTitle('')
line0 = TLine(9.7, 0, 10.1, 0)
line0.SetLineColor(ROOT.kBlue)
line0.SetLineWidth(2)
framePulls.addObject(line0)
framePulls.addPlotable(hpull,"P")
framePulls.SetMaximum(5)
framePulls.SetMinimum(-5)
pad1 = TPad("pad1", "The pad 80% of the height",0.0,0.2,1.0,1.0)
pad1.cd()
frame.Draw()
pad2 = TPad("pad2", "The pad 20% of the height",0.0,0.01,1.0,0.2)
pad2.cd()
framePulls.Draw()
c1.cd()
pad1.Draw()
pad2.Draw()
#c1.SaveAs('Chib12_1P'+output_suffix+'.png')
print 'Chi2 = '+str(frame.chiSquare())
# print ratio background/all in the signal refion
signal_region = x.setRange("signal_region",9.87,9.92)
pdf_integral = modelPdf.createIntegral(RooArgSet(x), RooFit.Range('signal_region')).getVal() * (n_chib.getVal() + n_background.getVal())
bkg_integral = background.createIntegral(RooArgSet(x), RooFit.Range('signal_region')).getVal() * n_background.getVal()
print 'Ratio bkg/all in signal region = '+str(bkg_integral/pdf_integral)
return numChib, c1
# MAIN
if __name__ == '__main__':
#gROOT.SetBatch() # don't pop up canvases
#gROOT.SetStyle('Plain') # white background
#gStyle.SetOptStat(222211)
ROOT.gROOT.ProcessLine('.L tdrstyle.C')
ROOT.gROOT.Reset()
ROOT.gROOT.ProcessLine('setTDRStyle()') #Set CMS TDR style
inputfile_name = "../store/2012_AllData.root"
ptBins = [7,11,16,20,40]
# GRAB OPTIONS
# Defaults
fittedVariable='qValue'
ptBin = None
makeAll = False
pas_label=''
printLegend = True
try:
opts, args = getopt.getopt(sys.argv[1:],'fab:',['refit', 'all', 'ptBin=','pas'])
except getopt.GetoptError:
print './dataFit.py [-f] [-b <1, 2, 3, 4>] [--pas]'
print '-f = --refit -a = -all -b = --ptBin'
print '--pas makes figure for pas without right legend'
sys.exit(2)
for opt, arg in opts:
if opt in ('-f', '--refit'):
fittedVariable='refittedMass'
if opt in ('-a', '--all'):
makeAll = True
if opt in ('-b', '--ptBin'):
ptBin = int(arg)
if opt == '--pas':
pas_label='_forPAS'
printLegend = False
cuts = Cuts()
cuts = cuts.loadFromFile("cuts.txt")
def make(ptBin=None, fittedVariable='qValue', inputfile_name=None, RooDataSet=None):
if ptBin == None:
ptBin_label = ''
cuts.upsilon_pt_lcut = ptBins[0]
cuts.upsilon_pt_hcut = ptBins[-1]
ptBin_addTitle = ''
else:
ptBin_label = '_'+str(ptBins[ptBin-1])+'_'+str(ptBins[ptBin])
cuts.upsilon_pt_lcut = ptBins[ptBin-1]
cuts.upsilon_pt_hcut = ptBins[ptBin]
ptBin_addTitle = str(ptBins[ptBin-1])+' GeV <p_{T#Upsilon} < '+str(ptBins[ptBin])+' Gev'
Chib1_parameters = CB_parameters()
Chib2_parameters = CB_parameters()
if(fittedVariable=='refittedMass'):
print 'Fitting kinematic refitted mass'
fittedVariable='refittedMass'
Chib1_parameters = Chib1_parameters.loadFromFile("txt/CB_ChiB1{0}_refit.txt".format(ptBin_label))
Chib2_parameters = Chib2_parameters.loadFromFile("txt/CB_ChiB2{0}_refit.txt".format(ptBin_label))
else:
print 'Fitting Q-value + m_PDG'
fittedVariable='qValue'
Chib1_parameters = Chib1_parameters.loadFromFile("txt/CB_ChiB1{0}_qValue.txt".format(ptBin_label))
Chib2_parameters = Chib2_parameters.loadFromFile("txt/CB_ChiB2{0}_qValue.txt".format(ptBin_label))
if(fittedVariable == 'refittedMass'): cuts.varLabel = 'rf1S_'
print str(cuts)
numChib, c1 = doDataFit(inputfile_name=inputfile_name,RooDataSet=RooDataSet,Chib1_parameters=Chib1_parameters,Chib2_parameters=Chib2_parameters, cuts=cuts, fittedVariable=fittedVariable, plotTitle = "#chi_{b} "+ptBin_addTitle,ptBin_label=ptBin_label, useOtherSignalParametrization = False, useOtherBackgroundParametrization = False, massFreeToChange = False, sigmaFreeToChange = False, printLegend=printLegend)
numChib.saveToFile('txt/'+numChib.name+'.txt')
c1.SaveAs('plots/'+c1.GetName()+pas_label+'.png')
c1.SaveAs('plots/'+c1.GetName()+pas_label+'.pdf')
c1.SaveAs('plots/'+c1.GetName()+pas_label+'.root')
if makeAll:
print "Creating DataSet from file "+str(inputfile_name)
dataSet = makeRooDataset(inputfile_name)
for ptBin in [None] + range(1,len(ptBins)):
for fittedVariable in ('refittedMass', 'qValue'):
make(ptBin=ptBin, fittedVariable=fittedVariable, RooDataSet=dataSet)
else:
make(ptBin=ptBin, fittedVariable=fittedVariable, inputfile_name=inputfile_name)