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

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

doi:10.1016/0920-5632(95)00261-7

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arXiv · hep-lat/9505020

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

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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 $β=6.0$. 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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M. Crisafulli, A. Donini, V. Lubicz, G. Martinelli, F. Rapuano, C. Ungarelli, A. Vladikas, the APE Collaboration, :, A. Bartoloni, C. Battista, S. Cabasino, N. Cabibbo, F. Marzano, E. Panizzi, P. S. Paolucci, R. Sarno, G. M. Todesco, M. Torelli, P. Vicini. 1995-05-25. Quenched $B_K$-parameter with the Wilson and Clover actions at $β= 6.0$. https://doi.org/10.1016/0920-5632(95)00261-7

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