Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics

TL;DR

This paper investigates jet quenching of heavy quarks in the quark-gluon plasma using nonadditive statistics, revealing anomalous diffusion and matching experimental suppression data.

Contribution

It introduces a novel approach applying the Plastino-Plastino equation and nonadditive Tsallis statistics to model heavy-quark transport and energy loss in QGP.

Findings

Demonstrates anomalous diffusion of heavy quarks in QGP.

Calculates jet-quenching parameter $\

$) consistent with experimental data.

Abstract

Using the Plastino-Plastino (PP) equation, we calculate transport coefficients of the heavy-quarks traversing inside the quark-gluon plasma, and generalize their relationship with differential energy loss. The PP equation indicates anomalous diffusion of the probe particles and yields a quasi-exponential stationary distribution obtained also from the nonadditive statistics proposed by C. Tsallis. We estimate energy loss in a nonadditive quark-gluon medium, and calculate the jet-quenching parameter ($\hat{q}$) for the PP dynamics. With the help of the estimate of $\hat{q}$, we calculate the nuclear suppression factor ($R_{\text{AA}}$) of the heavy-quarks passing through a nonadditive quark-gluon plasma using the model proposed by Dokshitzer and Kharzeev. In many a case, the parameters in the analysis are fixed from the experimental results to minimize arbitrariness. There is a good agreement between the theoretical calculation and experimental $R_{\text{AA}}$ data, indicating that fast heavy-quarks may be subjected to anomalous diffusion inside the QGP.