7/12/2015 Top Pairs Meeting 1 A template fit technique to measure the top quark mass in the l+jets channel Ulrich Heintz, Vivek Parihar.

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Presentation transcript:

7/12/2015 Top Pairs Meeting 1 A template fit technique to measure the top quark mass in the l+jets channel Ulrich Heintz, Vivek Parihar

7/12/2015Top Pairs Meeting2 Overview  OBJECTIVE: develop a fast algorithm for the measurement of the top quark mass in l + jets channel to complement the computing intensive matrix element technique.  currently studied a template fit method using only ttbar signal MC in the e + jets channel  results shown here are based on the output of HITFIT from Pieter Houben’s Monte Carlo data files (January version)  event selection is that used by the Ideogram analysis by Pieter and Michele.  templates are constructed using the mass for each event for which HITFIT obtains the lowest (positive) chi-squared.

7/12/2015Top Pairs Meeting3 PART 1 Parametrization of Templates :

7/12/2015Top Pairs Meeting4 m top =155 GeV 155 Templates m top =195 GeV m top =170 GeV

7/12/2015Top Pairs Meeting5 Templates m top =195 GeV m top =170 GeV m top =155 GeV Each template is fitted with Landau convoluted with Gaussian + Pure Gaussian with a total of 7 parameters

7/12/2015Top Pairs Meeting6 Fit Parameters  show that parameters vary smoothly with m top Landau * Gauss Landau * Gauss

7/12/2015Top Pairs Meeting7 Fit Parameters Gaussian

7/12/ D Simultaneous Fit  express the 7 parameters as functions of m top  fit all templates simultaneously Function used : Landau*Gaussian + Gaussian with total 7 internal parameters.

7/12/ D Simultaneous Fit  results Landau* gauss parameters Width of Landau a0 - a1*(mtop-175) Most Probable a2 + a3*(mtop-175) Area a4*(1- a7) GSigma a5+ a6*(mtop-175) Pure Gaussian Norm a4*a7 Most Probable a8+ a9*(mtop-175) Sigma a10 a0 = 8.82 ; a1= 0.02 ; a2 = ; a3 = 0.49 ; a4 = 4.69 ; a5 = ; a6 = 0.17 ; a7 = 0.14 ; a8 = ; a9 = 0.96 ; a10 = 11.6

7/12/ D Simultaneous Fit  superimpose template parametrizations

7/12/2015Top Pairs Meeting11 PART II  Ensemble Tests : -> 1000 ensembles with 200 ttbar events each, randomly picked from the data files. -> 1000 ensembles with 200 ttbar events each, randomly picked from the data files. -> parametrized templates used to calculate the negative log likelihood for each ensemble of 200 events. -> parametrized templates used to calculate the negative log likelihood for each ensemble of 200 events.

7/12/2015Top Pairs Meeting12 Ensemble tests  - log likelihood plot and quadratic fit for a sample ensemble (m top = 155 GeV) The fit procedure, determines the measured top mass by, finding the minimum of the Log likelihood curve.

7/12/2015Top Pairs Meeting13 Ensemble tests  Distributions of Measured (fitted) Top Mass (upper row) and Pulls (bottom row) ……

7/12/2015Top Pairs Meeting GeV (3.31) GeV(2.986) 165 GeV (2.919) (1.116) (1.002) (0.974)

7/12/2015Top Pairs Meeting (3.2) (3.289) (3.339) (1.042) (1.03) (1.041)

7/12/2015Top Pairs Meeting GeV(4.467) GeV (3.108)193.8 GeV (4.488) (1.377) (0.9465) (1.292)

7/12/2015Top Pairs Meeting17 Calibration Plots :

7/12/2015Top Pairs Meeting18Results  using 200 ttbar signal events measure the top quark mass without bias measure the top quark mass without bias expected statistical uncertainty  3.2 GeV expected statistical uncertainty  3.2 GeV  next steps include backgrounds include backgrounds apply to p17 data apply to p17 data

7/12/2015Top Pairs Meeting19 Back up