Perturbative renormalization factors for generic $\Delta s=2$ four-quark operators in domain-wall QCD with improved gauge action

TL;DR

This paper computes one-loop renormalization factors for DeltaS=2 four-quark operators in domain-wall QCD with improved gauge actions, aiding precise calculations in kaon mixing and supersymmetric models.

Contribution

It provides the first detailed calculation of renormalization factors for these operators in domain-wall QCD with both plaquette and Iwasaki gauge actions.

Findings

Renormalization factors are given in MS-bar scheme.

Results applicable to K^0-K^0bar mixing calculations.

Method facilitates studies in supersymmetric models.

Abstract

We calculate one-loop renormalization factors of generic DeltaS=2 four-quark operators for domain-wall QCD with the plaquette gauge action and the Iwasaki gauge action. The renormalization factors are presented in the modified minimal subtraction (MS-bar) scheme with the naive dimensional regularization. As an important application we show how to construct the renormalization factors for the operators contributing to K^0-K^0bar mixing in the supersymmetric models with the use of our results.