Langevin + Hydrodynamics Approach to Heavy Quark Propagation and Correlation in QGP

TL;DR

This paper combines Langevin dynamics with hydrodynamics to study heavy quark propagation in quark-gluon plasma, using AdS/CFT-inspired drag forces to match experimental data and predict correlations.

Contribution

It introduces a relativistic Langevin-Hydrodynamics framework with AdS/CFT-based drag force parametrization for heavy quarks in QGP, connecting theory with experimental observables.

Findings

The drag force near AdS/CFT predictions for high-momentum electrons.

Calculated nuclear modification factor $R_{AA}$ consistent with PHENIX and STAR data.

Predicted electron-muon correlations related to heavy-quark pair dynamics.

Abstract

We develop a relativistic Langevin dynamics under the background of strongly interacting quark-gluon fluid described by the (3+1)-dimensional hydrodynamics. The drag force acting on charm and bottom quarks is parametrized according to the formula obtained from the anti-de-Sitter space/conformal field theory (AdS/CFT) correspondence. In this setup, we calculate the nuclear modification factor $R_{\rm{AA}}$ for the single-electrons from the charm and bottom quarks to extract the magnitude of the drag force from the PHENIX and STAR data. The $R_{\rm{AA}}$ for single-electrons with $p_{T}\geq 3$ GeV indicates that the drag force is close to the AdS/CFT prediction. Effects of the drag force on the elliptic flow of single-electrons are also discussed. Moreover, we predict the electron-muon correlation which is closely related to the heavy-quark pair correlation in hot matter.