Matching coefficients in nonrelativistic QCD to two-loop accuracy

Abstract

We consider the Lagrange density of nonrelativistic quantum chromodynamics expanded up to order $1/{m}^{2}$, where $m$ is the heavy quark mass, and compute several matching coefficients up to two-loop order. Our results are building blocks for next-to-next-to-next-to-leading logarithmic and next-to-next-to-next-to-next-to-leading order corrections to the threshold production of top quark pairs and the decay of heavy quarkonia. We describe the techniques used for the calculation and provide analytic results for a general covariant gauge.