Heavy quark diffusion in perturbative QCD at next-to-leading order

Abstract

We compute the momentum diffusion coefficient of a nonrelativistic heavy quark in a hot QCD plasma, to next-to-leading order in the weak coupling expansion. Corrections arise at O(g); physically they represent interference between overlapping scatterings, as well as soft, electric scale ($p\sim gT$) gauge field physics, which we treat using the hard thermal loop (HTL) effective theory. In 3-color, 3-flavor QCD, the momentum diffusion constant of a fundamental representation heavy quark at NLO is $\kappa =\frac{16\pi }{3}{\alpha }_s^2{T}^3(\ln \frac{1}{g}+0.07428+1.8869g)$. The convergence of the weak coupling expansion is poor.

4 pages, 3 figures

References in corpus (11)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Radial and elliptic flow at RHIC: further predictions
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Erratum: Transverse momentum and centrality dependence of high-\pt\ non-photonic electron suppression in Au+Au collisions at \sqrtsNN\ = 200 GeV
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Heavy-Quark Probes of the Quark-Gluon Plasma at RHIC
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory

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