English

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

High Energy Physics - Lattice 2019-08-17 v1

Abstract

We present results for the Kaon BB parameter from a sample of 200200 configurations using the Wilson action and 460460 configurations using the Clover action, on a 183×6418^3 \times 64 lattice at β=6.0\beta=6.0. A slight improvement of the chiral behaviour of BKB_K is observed due to the Clover action. We have also compared the results for BKB_K obtained from two different procedures for the boosting of the coupling constant gg. We observe a strong dependence of BKB_K on the prescription adopted for gg in the Wilson case, contrary to the results of the Clover case which are almost unaffected by the choice of gg. 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 BKB_K.

Keywords

Cite

@article{arxiv.hep-lat/9505020,
  title  = {Quenched $B_K$-parameter with the Wilson and Clover actions at $\beta = 6.0$},
  author = {M. Crisafulli and A. Donini and V. Lubicz and G. Martinelli and F. Rapuano and C. Ungarelli and A. Vladikas and the APE Collaboration and : and A. Bartoloni and C. Battista and S. Cabasino and N. Cabibbo and F. Marzano and E. Panizzi and P. S. Paolucci and R. Sarno and G. M. Todesco and M. Torelli and P. Vicini},
  journal= {arXiv preprint arXiv:hep-lat/9505020},
  year   = {2019}
}

Comments

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.)