Nucleon Decay with Domain-Wall Fermions

TL;DR

This paper discusses ongoing efforts to compute nucleon decay matrix elements using domain-wall fermions, comparing direct lattice calculations with indirect chiral perturbation theory estimates, and addressing operator mixing through non-perturbative renormalization.

Contribution

It introduces a non-perturbative renormalization approach and compares direct and indirect methods for calculating nucleon decay matrix elements with domain-wall fermions.

Findings

Comparison between direct and indirect calculation methods.

Analysis of operator mixing effects.

Initial results on matrix elements for various decay modes.

Abstract

We report on our on-going project to calculate the nucleon decay matrix elements with domain-wall fermions. Operator mixing is discussed employing a non-perturbative renormalization. Bare matrix elements of all the possible decay modes induced by the dimension-six operators are calculated with the direct method, which are compared with the indirect calculation using chiral perturbation theory.