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A simple model to investigate jet quenching and correlated errors for centrality-dependent nuclear-modification factors in relativistic heavy-ion collisions
Ron A Soltz, Dhanush A Hangal, Aaron Angerami
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We apply Bayesian techniques to compare a simple, empirical model for jet-quenching in heavy-ion collisions to centrality-dependent jet-R_(AA) measured by ATLAS for Pb+Pb collisions at √(s_(NN))=5.02~TeV. We find that the R_(AA) values for central collisions are adequately described with a model for the mean p_T-dependent jet energy-loss using only 2-parameters. This model is extended by incorporating 2D initial geometry information from TRENTO and compared to centrality-dependent R_(AA) values. We find that the results are sensitive to value of the jet-quenching formation time, τ_f, and that the optimal value of τ_f varies with the assumed path-length dependence of the energy-loss. We construct a covariance error matrix for the data from the p_T dependent contributions to the ATLAS systematic errors and perform Bayesian calibrations for several different assumptions for the systematic error correlations. We show that most-probable functions and χ² values are sensitive to assumptions made when fitting to correlated errors.
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