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arXiv · hep-lat/9709136

Results for Quenched $B_K$ from JLQCD

JLQCD Collaboration·S. Aoki·M. Fukugita·S. Hashimoto·N. Ishizuka·Y. Iwasaki·K. Kanaya·Y. Kuramashi·M. Okawa·A. Ukawa·T. Yoshié
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Abstract

A report is presented on our continued effort to elucidate the continuum limit of $B_K$ using the quenched Kogut-Susskind quark action. By adding to our previous simulations one more point at $β= 6.65$ employing a $56^3\times 96$ lattice, we now confirm the expected $O(a^2)$ behavior of $B_K$ with the Kogut-Susskind action. A simple continuum extrapolation quadratic in $a$ leads to $B_K$(NDR, 2 GeV) = 0.598(5). As our final value of $B_K$ in the continuum we present $B_K$(NDR, 2 GeV)=0.628(42), as obtained by a fit including an $α_{\bar{MS}}(1/a)^2$ term arising from the lattice-continuum matching with the one-loop renormalization.

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JLQCD Collaboration, S. Aoki, M. Fukugita, S. Hashimoto, N. Ishizuka, Y. Iwasaki, K. Kanaya, Y. Kuramashi, M. Okawa, A. Ukawa, T. Yoshié. 1997-10-15. Results for Quenched $B_K$ from JLQCD. https://doi.org/10.1016/s0920-5632(97)00746-9

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