Perturbatively improving renormalization constants

TL;DR

This paper introduces a perturbative method to enhance the precision of renormalization constants in lattice computations by subtracting one-loop lattice artifacts, thereby improving the accuracy of continuum-lattice observable relations.

Contribution

The paper proposes a novel subtraction technique using one-loop lattice perturbation theory to reduce lattice artifacts in renormalization constants.

Findings

Effective suppression of lattice artifacts demonstrated

Improved accuracy in renormalization constants achieved

Method applicable to various lattice schemes

Abstract

Renormalization factors relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. They have to be computed very precisely which requires a careful treatment of lattice artifacts. In this work we present a method to suppress these artifacts by subtracting one-loop contributions proportional to the square of the lattice spacing calculated in lattice perturbation theory.