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Extracting the QCD speed of sound in the presence of quantum fluctuations

Yu-Shan Mu, Li Yan, Xu-Guang Huang

Contribution to the proceedings of SQM 2026

Abstract: The equation of state of strongly interacting matter plays a %is one of the central quantities characterizing central role in characterizing quark--gluon plasma created in relativistic heavy-ion collisions. It has recently been recognized that the QCD speed of sound is responsible for the linear correlations between the mean transverse momentum and charged-particle multiplicity in ultra-central collisions. In realistic collisions, however, this thermodynamic correlation is inevitably biased by quantum-initiated event-by-event fluctuations. In this work, we present a novel statistical framework to correct this bias by leveraging the Gaussianity condition of the quantum fluctuations. Furthermore, we demonstrate that this approach can also serve as a probe of thermalization. Validated by the event-by-event hydrodynamic simulations, the extracted speed of sound in our framework is successfully consistent with the predictions from lattice QCD, from large to small collision systems.

Submitted to arXiv on 27 Oct. 2026