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Novel approach to a fast calculation of high-order Q cumulants

L. Nađđerđ1,2, J. Milošević1,2, D. Devetak1,2, F. Wang3, and X. Zhu2,4

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Phys. Rev. C 113, 024906 – Published 13 February, 2026

DOI: https://doi.org/10.1103/ycxy-lwqd

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 multiparticle 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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Phys. Rev. C 113, 024906– Published 13 February, 2026
  • Received 28 May 2025
  • Revised 13 October 2025
  • Accepted 21 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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