Perturbative renormalization factors for bilinear and four-quark operators for Kogut-Susskind fermions on the lattice

TL;DR

This paper calculates one-loop perturbative renormalization factors for bilinear and four-quark operators in lattice QCD using Kogut-Susskind fermions, providing detailed numerical results for various operator structures.

Contribution

It provides the first comprehensive one-loop perturbative renormalization factors for these operators with Kogut-Susskind fermions, including the full renormalization matrix for four-quark operators.

Findings

Renormalization factors for bilinear operators are computed.

Full renormalization matrix for four-quark operators is derived.

Numerical tables for various operator structures are provided.

Abstract

Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge invariant and non-invariant operators. For four-quark operators the full renormalization matrix for a complete set of operators with two types of color contraction structures are worked out and detailed numerical tables are given.