Kaon B-parameter using Overlap Fermions

TL;DR

This paper reports preliminary lattice QCD calculations of the kaon B-parameter using overlap fermions with a specific implementation, providing initial results for B_K at different lattice spacings and quark masses.

Contribution

It introduces a novel implementation of overlap fermions with a specific kernel and gauge connections for calculating B_K in quenched approximation.

Findings

B_K(NDR, mu=2 GeV) = 0.66(3-4)

Preliminary results at two lattice spacings

Consistent pseudoscalar decay constants

Abstract

I present first results from an in-progress calculation of B_K in quenched approximation using overlap fermions. My particular implementation of the overlap uses a kernel with nearest and next-nearest neighbor interactions and HYP-blocked gauge connections. Matching to the continuum NDR regularization is done perturbatively. I present preliminary results at beta=5.9 and 6.1 (lattice spacings 0.125 and 0.09 fm) for quark masses, pseudoscalar decay constants, and B-parameter -- B_K(NDR(mu=2 GeV) is 0.66(3-4).