Multiparticle integral and differential correlation functions
Pruneau, Claude ; Gonzalez, Victor ; Marin, Ana and Basu, Sumit LU
(2024)
In Physical Review C
109(4).
- Abstract
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... (More)
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.
(Less)
- author
- Pruneau, Claude
; Gonzalez, Victor
; Marin, Ana
and Basu, Sumit
LU
- organization
- publishing date
- 2024-04
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review C
- volume
- 109
- issue
- 4
- article number
- 044904
- publisher
- American Physical Society
- external identifiers
-
- scopus:85189991114
- ISSN
- 2469-9985
- DOI
- 10.1103/PhysRevC.109.044904
- language
- English
- LU publication?
- yes
- id
- be3e5097-934e-4d21-b945-9dfc9ed419d3
- date added to LUP
- 2024-04-23 11:09:04
- date last changed
- 2025-04-04 14:58:12
@article{be3e5097-934e-4d21-b945-9dfc9ed419d3,
abstract = {{<p>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.</p>}},
author = {{Pruneau, Claude and Gonzalez, Victor and Marin, Ana and Basu, Sumit}},
issn = {{2469-9985}},
language = {{eng}},
number = {{4}},
publisher = {{American Physical Society}},
series = {{Physical Review C}},
title = {{Multiparticle integral and differential correlation functions}},
url = {{http://dx.doi.org/10.1103/PhysRevC.109.044904}},
doi = {{10.1103/PhysRevC.109.044904}},
volume = {{109}},
year = {{2024}},
}