Results for Quenched $B_K$ from JLQCD

Details Results for Quenched $B_K$ from JLQCD Results for Quenched $B_K$ from JLQCD

1997-09-29

arxiv.org/abs/hep-lat/9709136v2

Nucl.Phys.Proc.Suppl. 63 (1998) 281-283

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Latex(espcrc2,epsf), 2 ps figures, Talk presented at Lattice 97, two important references added

Scientific paper

10.1016/S0920-5632(97)00746-9

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 $\beta = 6.65$ 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 $\alpha_{\bar{MS}}(1/a)^2$ term arising from the lattice-continuum matching with the one-loop renormalization.

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