Quenched $B_K$-parameter with the Wilson and Clover actions at $β= 6.0$

Details Quenched $B_K$-parameter with the Wilson and Clover actions at $β= 6.0$ Quenched $B_K$-parameter with the Wilson and Clover actions at $β= 6.0$

1995-05-25

arxiv.org/abs/hep-lat/9505020v1

Nucl.Phys.Proc.Suppl. 42 (1995) 397-399

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Latex, Postscript file with figures available at ftp://hpteo.roma1.infn.it/pub/preprints/lat94/donini ; to appear in

Scientific paper

10.1016/0920-5632(95)00261-7

We present results for the Kaon $B$ parameter from a sample of $200$ configurations using the Wilson action and $460$ configurations using the Clover action, on a $18^3 \times 64$ lattice at $\beta=6.0$. A slight improvement of the chiral behaviour of $B_K$ is observed due to the Clover action. We have also compared the results for $B_K$ obtained from two different procedures for the boosting of the coupling constant $g$. We observe a strong dependence of $B_K$ on the prescription adopted for $g$ in the Wilson case, contrary to the results of the Clover case which are almost unaffected by the choice of $g$. Combining some recently obtained non perturbative estimates for the renormalisation constants with our Clover matrix element, we observe a significant improvement in the chiral behaviour of $B_K$.

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