Perturbative renormalization factors in domain-wall QCD with improved gauge actions

TL;DR

This paper computes one-loop renormalization factors for domain-wall fermions with improved gauge actions, providing essential data for lattice QCD calculations in the MS-bar scheme.

Contribution

It presents the first detailed calculation of renormalization factors for various operators in domain-wall QCD with improved gauge actions at one loop.

Findings

Renormalization factors for quark wave function and mass are provided.

Results include calculations for bilinear, three-, and four-quark operators.

Detailed mean field improved perturbation theory results are presented.

Abstract

We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three- and four-quark operators in modified minimal subtraction (MS-bar) scheme with the dimensional reduction(DRED) as well as the naive dimensional regularization(NDR). We also present detailed results in the mean field improved perturbation theory.