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A Novel Approach to Fast Calculation of High-Order Q-Cumulants

2025/05/31 by Laslo Nađđerđ, J. Milošević, Nađđerđ, L. +7
Materials Science · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nonlinear Optical Materials Research

paper · pdf · doi:10.48550/arxiv.2506.00535

openalex publication_date 2025/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The method of Q-cumulants has been shown as a powerful tool to study the fine details of the azimuthal anisotropies in high-energy nucleus-nucleus collisions. A new method for the fast calculation of arbitrary order Q-cumulant vn\2k\ values, based on the partition of a non-negative integer l ≤ m for calculation of the 2m-particle azimuthal correlations is presented in this paper. Unlike the standard Q-cumulants method in which the calculation of high-order multi-particle calculations is impractical, the newly proposed method enables easy calculation. The validity of the method is proven via a toy model that uses the elliptic power distribution to simulate anisotropic emission of particles. The method enables the study of fine details of the v2 distribution, such as higher-order central moments of the v2 distribution, as well as the hydrodynamic behavior of the Quark-Gluon Plasma.

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