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

Debarshi Dey1,*, Aritra Bandyopadhyay2,†, Santosh K. Das3,‡, Sadhana Dash1,§, Vinod Chandra4,∥, and Basanta K. Nandi1,¶

  • *Contact author: debarshi@iitb.ac.in
  • †Contact author: aritra.bandyopadhyay@e-uvt.ro
  • ‡Contact author: santosh@iitgoa.ac.in
  • §Contact author: sadhana@phy.iitb.ac.in
  • ∥Contact author: vchandra@iitgn.ac.in
  • Contact author: basanta@iitb.ac.in
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Phys. Rev. D 112, 016011 – Published 8 July, 2025

DOI: https://doi.org/10.1103/62yt-5r65

Abstract

In this work, the perturbative and nonperturbative contributions to the heavy quark (HQ) momentum (κ) as well as spatial (Ds) 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 Ds. It is observed that nonperturbative effects play a dominant role at low temperature. The spatial diffusion coefficient, 2πTDs, exhibits good agreement with recent lattice QCD 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.

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Phys. Rev. D 112, 016011– Published 8 July, 2025
  • Received 15 May 2025
  • Accepted 25 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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