Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-09-12
Phys.Lett. B369 (1996) 325-334
Physics
High Energy Physics
High Energy Physics - Lattice
LaTeX, 17 pages, 3 postscript figures uuencoded
Scientific paper
10.1016/0370-2693(95)01537-X
We present results for the kaon $B$-parameter $B_K$ from a sample of $200$ configurations using the Wilson action and $460$ configurations using the SW-Clover action, on a $18^3 \times 64$ lattice at $\beta=6.0$. We compare results obtained by renormalizing the relevant operator with different ``boosted" values of the strong coupling constant $\alpha_s$. In the case of the SW-Clover action, we also use the operator renormalized non-perturbatively. In the Wilson case, we observe a strong dependence of $B_K$ on the prescription adopted for $\alpha_s$, contrary to the results of the Clover case which are almost unaffected by the choice of the coupling. We also find that the matrix element of the operator renormalized non-perturbatively has a better chiral behaviour. This gives us our best estimate of the renormalization group invariant $B$-parameter, $\hat B_K=0.86 \pm 0.15$.
Crisafulli M.
Donini Andrea
Lubicz Vittorio
Rapuano Martinelli G. F.
Talevi Monica
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