Progress in automated perturbation theory for heavy quark physics

TL;DR

This paper reviews advanced perturbative techniques for heavy quark physics on the lattice, introducing a new method for calculating improvement coefficients and discussing ways to reduce systematic errors in high-order lattice gauge theory calculations.

Contribution

It proposes a novel procedure for computing improvement coefficients using the continuum limit as a matching condition and introduces a gauge-invariant infrared regulator for higher-order calculations.

Findings

Preliminary tests show promise for the new method.

The gauge-invariant infrared regulator improves calculation stability.

Potential reduction of systematic errors in heavy quark lattice simulations.

Abstract

We review our perturbative techniques for improved heavy quark actions. A new procedure for computing improvement coefficients is suggested, where the continuum limit of a lattice-regularized theory provides the matching conditions.We also use a gauge-invariant infrared regulator that is well suited to higher-order calculations in lattice gauge theory. We report on preliminary tests of our method, as well as a possible way to reduce systematic errors in these calculations.