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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 $\\kappa = \\frac{16\\pi}{3} \\alpha_s^2 T^3 (\\ln \\frac{1}{g} + 0.07428 + 1.8869 g)$. 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