Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD

Abstract

The heavy-quark mass and wave function renormalizations, energy shift, and radiative corrections to two important couplings, the so-called kinetic couplings, in nonrelativistic lattice QCD are determined to leading order in tadpole-improved perturbation theory. The scales at which to evaluate the running QCD coupling for these quantities, except the wave function renormalization, are obtained using the Lepage-Mackenzie prescription. When the bare quark mass is greater than the inverse lattice spacing, the kinetic coupling corrections are roughly 10\% of the tree-level coupling strengths; these corrections grow quickly as the bare quark mass becomes small. A need for computing the two-loop corrections to the energy shift and mass renormalization is demonstrated.