The Kaon $B$-parameter with Wilson Fermions

Details The Kaon $B$-parameter with Wilson Fermions The Kaon $B$-parameter with Wilson Fermions

1992-10-13

arxiv.org/abs/hep-lat/9210018v1

Phys.Rev. D47 (1993) 5113-5127

Physics

High Energy Physics

High Energy Physics - Lattice

39 pages, including 9 PS figures (LA UR-91-3522)

Scientific paper

10.1103/PhysRevD.47.5113

We calculate the kaon $B$-parameter in quenched lattice QCD at $\beta=6.0$ using Wilson fermions at $\kappa=0.154$ and $0.155$. We use two kinds of non-local (``smeared'') sources for quark propagators to calculate the matrix elements between states of definite momentum. The use of smeared sources yields results with much smaller errors than obtained in previous calculations with Wilson fermions. By combining results for $\vec p =(0,0,0)$ and $\vec p =(0,0,1)$, we show that one can carry out the non-perturbative subtraction necessary to remove the dominant lattice artifacts induced by the chiral symmetry breaking term in the Wilson action. Our final results are in good agreement with those obtained using staggered fermions. We also present results for $B$-parameters of the $\Delta I = 3/2$ part of the electromagnetic penguin operators, and preliminary results for \bk\ in the presence of two flavors of dynamical quarks.

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