Kaon B parameter from quenched Lattice QCD

Details Kaon B parameter from quenched Lattice QCD Kaon B parameter from quenched Lattice QCD

1997-10-21

arxiv.org/abs/hep-lat/9710073v1

Phys.Rev.Lett. 80 (1998) 5271-5274

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, Latex(revtex, epsf), 2 epsf figures

Scientific paper

10.1103/PhysRevLett.80.5271

We present results of a large-scale simulation for the Kaon B parameter $B_K$ in quenched lattice QCD with the Kogut-Susskind quark action. Calculating $B_K$ at 1% statistical accuracy for seven values of lattice spacing in the range $a\approx 0.24-0.04$ fm on lattices up to $56^3\times 96$, we verify a quadratic $a$ dependence of $B_K$ theoretically predicted. Strong indications are found that, with our level of accuracy, $\alpha_{\bar{MS}}(1/a)^2$ terms arising from our one-loop matching procedure have to be included in the continuum extrapolation. We present $B_K$(NDR, 2 GeV)=0.628(42) as our final value, as obtained by a fit including the $\alpha_{\bar{MS}}(1/a)^2$ term.

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