The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD

Details The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD

1993-01-15

arxiv.org/abs/hep-lat/9301005v1

Phys.Rev.D48:2265-2278,1993

Physics

High Energy Physics

High Energy Physics - Lattice

28 pages, SLAC-PUB-5981

Scientific paper

10.1103/PhysRevD.48.2265

The heavy quark self-energy in nonrelativistic lattice QCD is calculated to $O(\alpha_s)$ in perturbation theory. An action which includes all spin-independent relativistic corrections to order $v^2$, where $v$ is the typical heavy quark velocity, and all spin-dependent corrections to order $v^4$ is used. The standard Wilson action and an improved multi-plaquette action are used for the gluons. Results for the mass renormalization, wavefunction renormalization, and energy shift are given; tadpole contributions are found to be large. A tadpole improvement scheme in which all link variables are rescaled by a mean-field factor is also studied. The effectiveness of this scheme in offsetting the large tadpole contributions to the heavy quark renormalization parameters is demonstrated.

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