Perturbative Renormalization Factors of Baryon Number Violating Operators for Improved Quark and Gauge Actions in Lattice QCD

TL;DR

This paper computes one-loop renormalization factors for baryon number violating operators in lattice QCD with improved quark and gauge actions, aiding precise nucleon decay predictions.

Contribution

It provides detailed numerical results for renormalization factors using various improved gauge actions, enhancing accuracy in lattice QCD calculations of nucleon decay.

Findings

One-loop coefficients are significantly reduced with improved gauge actions.

Results cover general clover coefficients and multiple gauge actions.

The study facilitates more accurate continuum predictions of nucleon decay.

Abstract

We calculate one-loop renormalization factors of three-quark operators, which appear in the low energy effective Lagrangian of the nucleon decay, for $O(a)$-improved quark action and gauge action including six-link loops. This calculation is required to predict the hadronic nucleon decay matrix elements in the continuum regularization scheme using lattice QCD. We present detailed numerical results of the one-loop coefficients for general values of the clover coefficients employing the several improved gauge actions in the Symanzik approach and in the Wilson's renormalization group approach. The magnitudes of the one-loop coefficients for the improved gauge actions show sizable reduction compared to those for the plaquette action.