%0 Journal Article
%T Kaon B parameter from quenched domain-wall QCD
%A CP-PACS Collaboration
%A :
%A A. Ali Khan
%A S. Aoki
%A Y. Aoki
%A R. Burkhalter
%A S. Ejiri
%A M. Fukugita
%A S. Hashimoto
%A N. Ishizuka
%A Y. Iwasaki
%A T. Izubuchi
%A K. Kanaya
%A T. Kaneko
%A Y. Kuramashi
%A K. I. Nagai
%A J. Noaki
%A M. Okawa
%A H. P. Shanahan
%A Y. Taniguchi
%A A. Ukawa
%A T. Yoshi¨¦
%J Physics
%D 2000
%I arXiv
%R 10.1016/S0920-5632(01)00934-3
%X We report on a calculation of $B_K$ with domain wall fermion action in quenched QCD. Simulations are made with a renormalization group improved gauge action at $\beta=2.6$ and 2.9 corresponding to $a^{-1}\approx 2$GeV and 3GeV. Effects due to finite fifth dimensional size $N_5$ and finite spatial size $N_\sigma$ are examined in detail. Matching to the continuum operator is made perturbatively at one loop order. We obtain $B_K(\mu = 2 {GeV})= 0.5746(61)$, where the error is statistical only, as an estimate of the continuum value in the $\msbar$ scheme with naive dimensional regularization. This value is smaller but consistent with $B_K(\mu = 2 {GeV})= 0.628(42)$ obtained by the JLQCD Collaboration using the Kogut-Susskind quark action. Results for strange quark mass are also reported.
%U http://arxiv.org/abs/hep-lat/0010079v2