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Lxy Monte Carlo Results

Lxy Monte Carlo Results. Generated all Lxy distributions from pure Herwig t-tbar Monte Carlo samples. Performed study at mt values of 165 GeV, 175 GeV, and 185 Gev, using 230 K events. Generated full Lxy distributions using ana.cc code, then fit data to a gaussian plus exponential.

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Lxy Monte Carlo Results

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  1. Lxy Monte Carlo Results • Generated all Lxy distributions from pure Herwig t-tbar Monte Carlo samples. • Performed study at mt values of 165 GeV, 175 GeV, and 185 Gev, using 230 K events. • Generated full Lxy distributions using ana.cc code, then fit data to a gaussian plus exponential. • Generated and fit 650 event samples using full samples as pdfs. • Results showed <Lxy> to have a slightly cleaner correlation with mt than the exponential decay constant. • Remains to be seen what effects inclusion of backgrounds will have.

  2. The Fitting Procedure • Declared Function of the form, c1*exp(-c2*(x-c3)^2) + c4*exp(-c5*x) • Used this function to fit 165 GeV distribution, • results shown to the right. • Fit other two distributions with c2 and c3 (gaussian parameters), fixed at 165 GeV values. Mt = 165 GeV

  3. Full Fitted Lxy Distributions Results: Mt = 165 GeV Mt = 175 GeV Mt = 185 GeV

  4. A More Realistic Sample Size • Used full Lxy histograms as probability distribution functions to generate 1,000 pseudo experiments for each mt. • Each pseudo experiment contained 650 Lxy points. • Used same fitting function as for full samples. Mt = 175 GeV

  5. <Lxy> Values • Plotted <Lxy> for each pseudo experiment. • Width of the graph represents uncertainty in <Lxy> measurement. Mt = 175 GeV

  6. Exponential Decay Constant • Similarly, plotted exponential decay constant derived by fitter for each pseudo experiment. • The RMS of this distribution was larger than MINUIT thought it should be. Mt = 175 GeV

  7. <Lxy> vs. Decay Constant

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