Calculation of weak matrix elements in domain-wall QCD with the DBW2 gauge action

TL;DR

This paper details quenched lattice QCD calculations of weak matrix elements using domain-wall fermions and the DBW2 gauge action, including a new strategy to manage fixed topological charge issues and a preliminary $B_K$ result.

Contribution

It introduces a novel approach to avoid fixed topological charge problems in lattice simulations with domain-wall fermions and provides initial results for the kaon B-parameter.

Findings

Preliminary $B_K$ value obtained

Strategy to prevent fixed topological charge issues

Analysis of lattice parameters and elemental quantities

Abstract

We report the details of our ongoing quenched calculations of weak matrix elements using the combination of domain-wall fermions and the DBW2 gauge action on lattices with $a^{-1}\approx 3$ GeV. A strategy to avoid the problem of fixed topological charge is introduced in generating gauge configurations. After studying the basic run parameters and elemental quantities, we present a preliminary result for the kaon B-parameter ($B_K$).