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

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

2007-08-30

arxiv.org/abs/0708.4232v1

Phys.Rev.Lett.100:052301,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.100.052301

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 $\kappa = \frac{16\pi}{3} \alpha_s^2 T^3 (\ln \frac{1}{g} + 0.07428 + 1.8869 g)$. The convergence of the weak coupling expansion is poor.

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