Improved Nonrelativistic QCD for Heavy Quark Physics

TL;DR

This paper develops an improved nonrelativistic QCD framework for lattice simulations of heavy quark physics, aiming to reduce systematic errors below 10% by refining operator importance, including relativistic and lattice corrections, and addressing radiative effects.

Contribution

It introduces a new version of nonrelativistic QCD with power counting, leading order corrections, and a resummation procedure for radiative effects, enhancing accuracy in heavy quark simulations.

Findings

Reduced systematic errors below 10% in simulations

Developed power counting rules for operator importance

Resummed large radiative corrections effectively

Abstract

We construct an improved version of nonrelativistic QCD for use in lattice simulations of heavy quark physics, with the goal of reducing systematic errors from all sources to below 10\%. We develop power counting rules to assess the importance of the various operators in the action and compute all leading order corrections required by relativity and finite lattice spacing. We discuss radiative corrections to tree level coupling constants, presenting a procedure that effectively resums the largest such corrections to all orders in perturbation theory. Finally, we comment on the size of nonperturbative contributions to the coupling constants.