Determination of the Improvement Coefficient c_SW up to One-Loop Order with the Conventional Perturbation Theory

TL;DR

This paper calculates the one-loop order improvement coefficient c_SW for various improved gauge actions using conventional perturbation theory with a fictitious gluon mass, confirming some previous results.

Contribution

It provides a perturbative calculation of c_SW for improved gauge actions, extending prior work and validating some results obtained by other methods.

Findings

Results agree with previous Schrödinger functional method calculations for some actions.

Provides one-loop order c_SW values for multiple improved gauge actions.

Uses a regularization technique with a fictitious gluon mass.

Abstract

We calculate the $O(a)$ improvement coefficient c_SW in the Sheikholeslami-Wohlert quark action for various improved gauge actions with six-link loops. We employ the conventional perturbation theory introducing the fictitious gluon mass to regularize the infrared divergence. Our results for some improved gauge actions are in agreement with those previously obtained with the Schr{\"o}dinger functional method.