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

Authors :
Crisafulli, M.
Donini, A.
Lubicz, V.
Martinelli, G.
Rapuano, F.
Ungarelli, C.
Vladikas, A.
Collaboration, the APE
Bartoloni, A.
Battista, C.
Cabasino, S.
Cabibbo, N.
Marzano, F.
Panizzi, E.
Paolucci, P. S.
Sarno, R.
Todesco, G. M.
Torelli, M.
Vicini, P.
Publication Year :
1995
Publisher :
arXiv, 1995.

Abstract

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 $��=6.0$. 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 $B_K$.<br />3 pages, Latex, Postscript file with figures available at ftp://hpteo.roma1.infn.it/pub/preprints/lat94/donini ; to appear in Lattice '94, Nucl. Phys. (Proc.Suppl.)

Details

Database :
OpenAIRE
Accession number :
edsair.doi...........31aa5efc6326494cf38c17a2142a4c25
Full Text :
https://doi.org/10.48550/arxiv.hep-lat/9505020