Multiparticle integral and differential correlation functions

Pruneau, Claude; Gonzalez, Victor; Marin, Ana; Basu, Sumit

doi:10.1103/PhysRevC.109.044904

Title: Multiparticle integral and differential correlation functions

Journal Article · 08 April 2024 · Physical Review. C

DOI: https://doi.org/10.1103/PhysRevC.109.044904 · OSTI ID:2335539

;

; Basu, Sumit

This paper formalizes the use of integral and differential cumulants for measurements of multiparticle event-by-event transverse momentum fluctuations, rapidity fluctuations, as well as net-charge fluctuations. This enables the introduction of multiparticle balance functions, defined based on differential correlation functions (factorial cumulants), that suppress two- and three-prong resonance decays effects and enable measurements of underlying long-range correlations obeying quantum number conservation constraints. These multiparticle balance functions satisfy simple sum rules determined by quantum number conservation. It is additionally shown that these multiparticle balance functions arise as an intrinsic component of high-order net-charge cumulants. This implies that the magnitude of these cumulants, measured in a specific experimental acceptance, is strictly constrained by charge conservation and primarily determined by the rapidity and momentum width of these balance functions. The paper also presents techniques to reduce the computation time of differential correlation functions up to order $n = 10$ based on the methods of moments. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-92ER40713

OSTI ID:: 2335539

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Vol. 109 Journal Issue: 4; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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