The Heavy Quark Self-Energy in Nonrelativistic Lattice QCD
Morningstar, Colin J.
Original · EN
The heavy quark self-energy in nonrelativistic lattice QCD is calculated to O(αₛ) in perturbation theory. An action which includes all spin-independent relativistic corrections to order v², where v is the typical heavy quark velocity, and all spin-dependent corrections to order v⁴ 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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