Mason
Giacchetti

SURF Setting a Limit on the Cross-Section of the Toponium Bound State Production at a Center of Mass Energy of 13 TeV

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Authors:

Mason Giacchetti

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The Standard Model (SM) of particle physics provides a description of the fundamental particles and interactions which make up our reality. In the SM, the toponium bound state describes a top quark-antiquark pair interacting via the strong force. The large mass of the top quark makes toponium significant for testing the SM and SM approximate models in extreme regimes. Given the instability of toponium, it is quite rare and statistical analysis of its cross-section must be done in order to observe it with any confidence. Such an analysis will provide information about the cross-section itself, along with the associated uncertainties. To obtain a limit on the toponium cross-section, this analysis uses a deep neural network (DNN) to try and classify toponium in Monte Carlo data from the Large Hadron Collider (LHC), and the DNN score is then used to produce differential plots for toponium and its backgrounds. These plots can then be used to perform a shape based analysis using the Combine data analysis tool. In Combine, model data sets will be produced, known as toys, which can be used to form the distributions for our test statistic, in this case profile likelihood ratios, from which a limit can be extracted. The profile likelihood limits are produced to provide information about what values of our parameter describe the observed data and its fluctuations the best. Conclusions on the observability of toponium can then be drawn from this analysis on the cross-section for future use.

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Purdue University / 2023

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Mason Giacchetti

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