Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium

Fuente: arXiv
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Main Authors: Dey, Debarshi, Bandyopadhyay, Aritra, Das, Santosh K., Dash, Sadhana, Chandra, Vinod, Nandi, Basanta K.
Format: Preprint
Published: 2025
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author Dey, Debarshi
Bandyopadhyay, Aritra
Das, Santosh K.
Dash, Sadhana
Chandra, Vinod
Nandi, Basanta K.
author_facet Dey, Debarshi
Bandyopadhyay, Aritra
Das, Santosh K.
Dash, Sadhana
Chandra, Vinod
Nandi, Basanta K.
contents In this work, the perturbative and non-perturbative contributions to the heavy quark (HQ) momentum ($κ$) as well as spatial ($D_s$) diffusion coefficients are computed in a weak background magnetic field. The formalism adopted here involves calculation of the in-medium potential of the HQ in a weak magnetic field, which then serves as a proxy for the resummed gluon propagator in the calculation of HQ self-energy ($Σ$). The self-energy determines the scattering rate of HQs with light thermal partons, which is subsequently used to evaluate $κ$ and $D_s$. It is observed that non-perturbative effects play a dominant role at low temperature. The spatial diffusion coefficient $2πT D_s$, exhibits good agreement with recent LQCD results. These findings can be applied to calculate the heavy quark directed flow at RHIC and LHC energies. An extension of this formalism to the case of finite HQ momentum has also been attempted.
format Preprint
id arxiv_https___arxiv_org_abs_2504_02284
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
Dey, Debarshi
Bandyopadhyay, Aritra
Das, Santosh K.
Dash, Sadhana
Chandra, Vinod
Nandi, Basanta K.
High Energy Physics - Phenomenology
Nuclear Theory
In this work, the perturbative and non-perturbative contributions to the heavy quark (HQ) momentum ($κ$) as well as spatial ($D_s$) diffusion coefficients are computed in a weak background magnetic field. The formalism adopted here involves calculation of the in-medium potential of the HQ in a weak magnetic field, which then serves as a proxy for the resummed gluon propagator in the calculation of HQ self-energy ($Σ$). The self-energy determines the scattering rate of HQs with light thermal partons, which is subsequently used to evaluate $κ$ and $D_s$. It is observed that non-perturbative effects play a dominant role at low temperature. The spatial diffusion coefficient $2πT D_s$, exhibits good agreement with recent LQCD results. These findings can be applied to calculate the heavy quark directed flow at RHIC and LHC energies. An extension of this formalism to the case of finite HQ momentum has also been attempted.
title Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2504.02284