Partial correlation analysis method in ultrarelativistic heavy-ion collisions

Clicks: 132
ID: 274595
2017
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Abstract
We argue that statistical data analysis of two-particle longitudinal correlations in ultrarelativistic heavy-ion collisions may be efficiently carried out with the technique of partial covariance. In this method, the spurious event-by-event fluctuations due to imprecise centrality determination are eliminated via projecting out the component of the covariance influenced by the centrality fluctuations. We bring up the relationship of the partial covariance to the conditional covariance. Importantly, in the superposition approach, where hadrons are produced independently from a collection of sources, the framework allows us to impose centrality constraints on the number of sources rather than hadrons, that way unfolding of the trivial fluctuations from statistical hadronization and focusing better on the initial-state physics. We show, using simulated data from hydrodynamics followed with statistical hadronization, that the technique is practical and very simple to use, giving insight into the correlations generated in the initial stage. We also discuss the issues related to separation of the short- and long-range components of the correlation functions and show that in our example the short-range component from the resonance decays is largely reduced by considering pions of the same sign. We demonstrate the method explicitly on the cases where centrality is determined with a single central control bin or with two peripheral control bins.
Reference Key
olszewski2017physicalpartial Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Adam Olszewski;Wojciech Broniowski;
Journal physical review c
Year 2017
DOI
doi:10.1103/PhysRevC.96.054903
URL
https://dx.doi.org/10.1103/PhysRevC.96.054903
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