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A Study of the Static-Light $B_B$ Parameter

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arxiv hep-lat/9608005 v2 pith:WWFYW7WJ submitted 1996-08-01 hep-lat hep-ph

classification hep-lathep-ph
keywords gaugeparameterquarkreduceactionalphaapproximationcalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the $B_B$ parameter, relevant for $\overline{B}^0$--$B^0$ mixing, from a lattice gauge theory simulation using the static approximation for the heavy quark and the Wilson action for the light quark and gauge fields. Improved sources, produced by an optimized variational technique, {\sc most}, reduce statistical errors and minimize excited-state contamination of the ground-state signal. Renormalization of four-fermion operator coefficients, using the Lepage-Mackenzie procedure for estimating typical momentum scales, is linearized to reduce order $\alpha_s^2$ uncertainties.

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