Lattice study of a magnetic contribution to heavy quark momentum diffusion

Abstract

Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in $T/M$, where $T$ is the temperature and $M$ is a heavy quark mass. The leading term in the expansion originates from the colour-electric part of a Lorentz force, whereas the next-to-leading order involves the colour-magnetic part. We measure a colour-magnetic 2-point correlator in quenched QCD at $T\sim \mathrm{1.2...2.0}{T}_{\mathrm{c}}^{}$. Employing multilevel techniques and non-perturbative renormalization, a good signal is obtained, and its continuum extrapolation can be estimated. Modelling the shape of the corresponding spectral function, we subsequently extract the momentum diffusion coefficient, $\kappa$. For charm (bottom) quarks, the magnetic contribution adds $\sim 30\%$ ($10\%$) to the electric one. The same increases apply also to the drag coefficient, $\eta$. As an aside, the colour-magnetic spectral function is computed at NLO.

23 pages. v2: clarifications added, data included as ancillary files

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• Charm and Bottom Hadrons in Hot Hadronic Matter
• Heavy Quark Momentum Broadening in a Non-Abelian Plasma away from Thermal Equilibrium
• Lattice $B$-field correlators for heavy quarks
• Temperature Dependence of Heavy Quark Diffusion from (2+1)-flavor Lattice QCD
• Dynamics of heavy flavour in a weakly magnetized hot QCD medium
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Study of quarkonium in QGP from unquenched lattice QCD
• Finite Temperature Quarkonia Spectral Functions in the Pseudoscalar Channel
• Non-Markovian dynamics of bottomonia in the QGP