We present results of a large-scale simulation for the Kaon B parameter BK in quenched lattice QCD with the Kogut-Susskind quark action. Calculating BK at 1% statistical accuracy for seven values of lattice spacing in the range a≈0.24−0.04 fm on lattices up to 563×96, we verify a quadratic a dependence of BK theoretically predicted. Strong indications are found that, with our level of accuracy, αMSˉ(1/a)2 terms arising from our one-loop matching procedure have to be included in the continuum extrapolation. We present BK(NDR, 2 GeV)=0.628(42) as our final value, as obtained by a fit including the αMSˉ(1/a)2 term.
@article{arxiv.hep-lat/9710073,
title = {Kaon B parameter from quenched Lattice QCD},
author = {JLQCD Collaboration and S. Aoki and M. Fukugita and S. Hashimoto and N. Ishizuka and Y. Iwasaki and K. Kanaya and Y. Kuramashi and M. Okawa and A. Ukawa and T. Yoshié},
journal= {arXiv preprint arXiv:hep-lat/9710073},
year = {2016}
}