Calcutation of kaon matrix elements in quenched domain-wall QCD with DBW2 gauge action

TL;DR

This paper reports progress on calculating kaon matrix elements using quenched domain-wall QCD with a DBW2 gauge action at a finer lattice spacing, enabling investigation of charm quark effects.

Contribution

It presents a new calculation of kaon matrix elements at a finer lattice spacing, including non-perturbative renormalization and preliminary results for $B_K$ and $K o\pi$ matrix elements.

Findings

Preliminary $B_K$ results renormalized non-perturbatively.

Initial $K o\pi$ matrix element measurements.

Assessment of charm quark effects at smaller lattice spacing.

Abstract

We give a progress report of our new $a^{-1}\approx 3$ GeV quenched calculation of kaon matrix elements with domain-wall fermion and DBW2 gauge action. Our smaller lattice spacing allows us to address the effect of charmed quark on the lattice. We show preliminary results of $B_K$ renormalized non-perturbatively and $K\to\pi$ matrix elements.