Nucleon Decay Matrix Elements for Domain-Wall Fermions

TL;DR

This paper calculates nucleon decay matrix elements using domain-wall fermions in quenched lattice QCD, comparing methods and discussing renormalization, with preliminary results on chiral parameters.

Contribution

It provides the first comparison of direct and indirect methods for nucleon decay matrix elements with domain-wall fermions and discusses renormalization procedures.

Findings

Agreement between direct and indirect methods within uncertainties

Preliminary renormalized chiral parameters obtained

Insights into renormalization matching to continuum theory

Abstract

We report on the nucleon decay matrix elements with domain-wall fermions in quenched approximation. Results from direct and indirect method are compared with a focus on the process of a proton decaying to a pion and a lepton. We discuss the renormalization necessary for the matching to the continuum theory. Preliminary results for the renormalized chiral lagrangian parameters are presented.