Transport coefficients of heavy mesons in a thermal medium

TL;DR

This paper calculates the transport coefficients of heavy mesons in a thermal medium using an effective field theory that includes spectral functions and off-shell effects, providing insights into heavy-flavor dynamics below the chiral transition.

Contribution

It introduces a novel approach combining chiral and heavy-quark symmetries with kinetic theory to derive an off-shell Fokker-Planck equation for heavy mesons in a thermal medium.

Findings

Transport coefficients calculated below the chiral restoration temperature.

Inclusion of temperature-dependent spectral functions improves accuracy.

Results align with state-of-the-art calculations above the chiral transition.

Abstract

We have investigated the many-body equations of $D$ and $\bar{B}$ mesons in a thermal medium by applying an effective field theory based on chiral and heavy-quark symmetries. Exploiting these symmetries within kinetic theory, we have derived an off-shell Fokker-Planck equation which incorporates information of the full spectral functions of these states. In this contribution we present our latest results on heavy-flavor transport coefficients below the chiral restoration temperature, in both charm and bottom sectors. The calculation incorporating temperature-dependent spectral functions and interactions, together with off-shell effects, allows for an improved matching to the state-of-the-art calculations above the chiral transition temperature.