@article{oai:tsukuba.repo.nii.ac.jp:00007820,
author = {岩崎, 洋一 and 宇川, 彰 and Aoki, S. and Fukugita, M. and Hashimoto, S. and Ishizuka, N. and Iwasaki, Y. and Kanaya, K. and Kuramashi, Y. and Okawa, M. and Ukawa, A. and Yoshié, T.},
issue = {3},
journal = {Physical review D},
month = {Jul},
note = {application/pdf, A lattice QCD calculation of the kaon B parameter BK is carried out with the Wilson quark action in the quenched approximation at β=6/g2=5.9–6.5. The mixing problem of the Δs=2 four-quark operators is solved nonperturbatively with full use of chiral Ward identities employing four external quarks with an equal off-shell momentum in the Landau gauge. This method, without invoking any effective theory, enables us to construct the weak four-quark operators exhibiting good chiral behavior. Our results for BK with the nonperturbative mixing coefficients show small scaling violation beyond the lattice cutoff a-1∼2.5 GeV. Our estimate concludes BK(NDR,2 GeV)=0.69(7) at a-1=2.7–4.3 GeV, which agrees with the value obtained with the Kogut-Susskind quark action. For comparison we also calculate BK with one-loop perturbative mixing coefficients. While this yields incorrect values at finite lattice spacing, a linear extrapolation to the continuum limit as a function of a leads to a result consistent with those obtained with the Ward identity method.},
title = {Kaon B parameter with the Wilson quark action using chiral Ward identities},
volume = {60},
year = {1999}
}