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Analyzing 2D Limit Contours with Combined Likelihoods for Enhanced Statistical Insights

This report details the methodologies and findings from the analysis conducted during the IReS Strasbourg meeting concerning the integration of likelihoods for improving 2D limit contours in particle physics. By employing a combination of likelihoods from s/tt, s/Wjj, t/tt, and t/Wjj channels, we propose a solution to rebin the tt and Wjj filters into a single variable. This approach reduces sensitivity to statistical fluctuations, allowing for the derivation of 2D histograms that represent s-channel versus t-channel distributions. Our results show new inclusive limits with expectations indicated.

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Analyzing 2D Limit Contours with Combined Likelihoods for Enhanced Statistical Insights

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  1. 2D limits contours Benoit Clément – IReS Strasbourg Single top meeting

  2. Previous results JLIP/Lh result (370 pb-1) : Expected Observed But… NN analysis also had 2D limit contours :

  3. Combining LHs 4 filters : s/tt, s/Wjj, t/tt, t/Wjj -> needs to recombine tt and Wjj filters in one single variable. Reinhard’s solution : use a LH to rebin tt/Wjj 2D histogram What I did : Just use the product of the two LH variables. Less sensitive to statistical fluctuation in low populated bins. Derive s-channel vs t-channel 2D LH histograms

  4. 2D contour

  5. Inclusive limits SM independent Expected Observed New combined s+t : < 4.8 pb

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