Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD

Details Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD

1994-06-02

arxiv.org/abs/hep-lat/9406002v1

Phys.Rev.D50:5902-5911,1994

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, REVTEX with 13 figures included using epsf.sty, Edinburgh Preprint: 94/1

Scientific paper

10.1103/PhysRevD.50.5902

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.

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