Effect of transverse momentum conservation and flow on symmetric cumulants $sc_{2,3} \left \{ 4 \right \}$ and $sc_{2,3,4} \left \{ 6 \right \}$

Jia-Lin Pei; Guo-Liang Ma; Adam Bzdak

doi:10.1103/3w99-wcts

paper

Effect of transverse momentum conservation and flow on symmetric cumulants $s c_{2, 3} {4}$ and $s c_{2, 3, 4} {6}$

arXiv:2503.12846 · doi:10.1103/3w99-wcts

Abstract

Symmetric cumulants can improve our understanding of the joint probability distribution function $P (v_{m}, v_{n}, v_{k}, \dots, Ψ_{m}, Ψ_{n}, Ψ_{k}, \dots)$ , potentially offering new insights into the nature of the fluctuations of the quark-gluon plasma produced in relativistic heavy-ion collisions. In this work, the four-particle symmetric cumulants $s c_{2, 3} {4}$ , six-particle symmetric cumulants $s c_{2, 3, 4} {6}$ , and the normalized cumulants $n s c_{2, 3} {4}$ and $n s c_{2, 3, 4} {6}$ originating from transverse momentum conservation, collective flow, and the interplay between the two effects are calculated. Our results on $s c_{2, 3} {4}$ are consistent with the ATLAS data using the subevent cumulant method, facilitating a more profound understanding of the origins of the symmetric cumulant in small systems. Our results on $s c_{2, 3, 4} {6}$ serve as theoretical predictions for future experimental measurements in small systems.

arXiv comment28 pages, 4 figures, final published version

Effect of transverse momentum conservation and flow on symmetric cumulants sc2,3​{4} and sc2,3,4​{6}

Abstract

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Effect of transverse momentum conservation and flow on symmetric cumulants $s c_{2, 3} {4}$ and $s c_{2, 3, 4} {6}$