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26 April 2024

» arxiv » hep-lat/0010079

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Kaon B parameter from quenched domain-wall QCD
CP-PACS Collaboration : A. Ali Khan ; S. Aoki ; Y. Aoki ; R. Burkhalter ; S. Ejiri ; M. Fukugita ; S. Hashimoto ; N. Ishizuka ; Y. Iwasaki ; T. Izubuchi ; K. Kanaya ; T. Kaneko ; Y. Kuramashi ; K. I. Nagai ; J. Noaki ; M. Okawa ; H.P. Shanahan ; Y. Taniguchi ; A. Ukawa ; T. Yoshié ;
Date:	31 Oct 2000
Journal:	Nucl.Phys.Proc.Suppl. 94 (2001) 287-290
Subject:	hep-lat
Abstract:	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 $eta=2.6$ 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.
Source:	arXiv, hep-lat/0010079
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