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.

• Received 23 July 2019

DOI:https://doi.org/10.1103/PhysRevD.100.054016

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Published by the American Physical Society