Hypercontractivity and factorial moment scaling in the symmetry broken phase

Autor:	Brofas, Athanasios, Zampetakis, Manolis, Diakonos, Fotios
Rok vydání:	2024
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Nuclear Experiment Nuclear Theory
Druh dokumentu:	Working Paper
Popis:	The search for remnants of the QCD chiral critical point is a central objective of current and future high-energy ion collision experiments. Previous studies suggest that a scaling law relating higher-order factorial moments of hadron multiplicity fluctuations to the second factorial moment could serve as a tool for detecting the QCD critical point. However, we demonstrate that this scaling law is not unique to critical phenomena. Instead, it emerges as a general property of distributions by extending the concept of hypercontractivity, originally applied to ordinary moments, to factorial moments. We present examples of distribution classes that exhibit the same higher-order factorial moment scaling as multiplicity fluctuations in the symmetry-broken phase. This insight allows us to explain the recent intermittency analysis results from the STAR experiment at RHIC (arXiv:2301.11062), where no indication of criticality was observed. Comment: main: 5 pages, 3 figures, supplemental: 4 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.19412 Zobrazit plný text záznamu View this record from Arxiv