Two-loop renormalization of three-quark operators in QCD

TL;DR

This paper develops a renormalization scheme for three-quark operators in QCD that simplifies calculations by avoiding extra finite renormalizations, and it computes their two-loop anomalous dimensions.

Contribution

It introduces a specific scheme for renormalizing three-quark operators in QCD that handles operator mixing efficiently and provides two-loop anomalous dimensions calculations.

Findings

Proposed a scheme avoiding additional finite renormalizations.

Calculated two-loop anomalous dimensions of three-quark operators.

Simplified the renormalization process in QCD applications.

Abstract

Renormalization of composite three-quark operators in dimensional regularization is complicated by the mixing of physical and unphysical (evanescent) operators. This mixing must be taken into account in a consistent subtraction scheme. In this work we propose a particular scheme that allows one to avoid the necessity of additional finite renormalization and is convenient in QCD applications. As an illustration, we calculate the two-loop anomalous dimensions of local three-quark operators in this scheme.