Kaon B Parameter in Quenched QCD

TL;DR

This paper computes the kaon B-parameter using a lattice QCD simulation with exact chiral symmetry, comparing results at two lattice spacings and discussing finite volume challenges.

Contribution

It presents a calculation of the kaon B-parameter employing an overlap action with exact lattice chiral symmetry in quenched QCD, at multiple lattice spacings.

Findings

Results agree with recent domain-wall fermion calculations.

Finite volume effects are discussed in the context of overlap actions.

Calculations performed at two different lattice spacings.

Abstract

I calculate the kaon B-parameter with a lattice simulation in quenched approximation. The lattice simulation uses an action possessing exact lattice chiral symmetry, an overlap action. Computations are performed at two lattice spacings, about 0.13 and 0.09 fm (parameterized by Wilson gauge action couplings beta=5.9 and 6.1) with nearly the same physical volumes and quark masses. I describe particular potential difficulties which arise due to the use of such a lattice action in finite volume. My results are consistent with other recent lattice determinations using domain-wall fermions.