Heavy quark diffusion coefficient with gradient flow

Abstract

We calculate chromo-electric and chromo-magnetic correlators in quenched QCD at $1.5T_c$ and $10^4{T}_c$ with the aim to estimate the heavy quark diffusion coefficient at leading order in the inverse heavy quark mass expansion, ${\kappa }_E$, as well as the coefficient of first mass suppressed correction, ${\kappa }_B$. We use gradient flow for noise reduction. At $1.5T_c$ we obtain: $1.70\le {\kappa }_E/T^3\le 3.12$ and $1.03<{\kappa }_B/T^3<2.61$. The latter implies that the mass suppressed effects in the heavy quark diffusion coefficient are 20% for bottom quarks and 34% for charm quark at this temperature.

18 pages, 20 figures, updated to match the published version

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Cited by in corpus (11)

• Heavy Quark Diffusion from 2+1 Flavor Lattice QCD with 320 MeV Pion Mass
• Quark Mass Dependence of Heavy Quark Diffusion Coefficient from Lattice QCD
• Classical and Quantum Computing of Shear Viscosity for $2+1D$ SU(2) Gauge Theory
• Heavy quark diffusion coefficient in heavy-ion collisions via kinetic theory
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• 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
• Static force from generalized Wilson loops on the lattice using the gradient flow
• Heavy quark momentum diffusion coefficient during hydrodynamization via effective kinetic theory
• Universal Equilibration Condition for Heavy Quarks