A calculation of the $B_{B}$ parameter in the static limit

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dc.creatorChristensen, Joseph
dc.creatorDraper, Terrence
dc.creatorMcNeile, Craig
dc.date1996-10-17
dc.date1998-02-06
dc.date.accessioned2026-07-07T11:34:46Z
dc.date.available2026-07-07T11:34:46Z
dc.descriptionWe calculate the $B_{B}$ parameter, relevant for $\overline{B}^0$ -- $B^0$ mixing, from a lattice gauge theory simulation at $β= 6.0$. The bottom quarks are simulated in the static theory, the light quarks with Wilson fermions. Improved smearing functions produced by a variational technique, MOST, are used to reduce statistical errors and minimize excited-state contamination of the ground-state signal. We obtain $B_B(4.33 GeV) = 0.98^{+4}_{-4}$ (statistical) $^{+3}_{-18}$ (systematic) which corresponds to $\widehat{B}_B = 1.40^{+6}_{-6}$ (statistical) $^{+4}_{-26}$ (systematic) for the one-loop renormalization-scheme-independent parameter. The systematic errors include the uncertainty due to alternative (less favored) treatments of the perturbatively-calculated mixing coefficients; this uncertainty is at least as large as residual differences between Wilson-static and clover-static results. Our result agrees with extrapolations of results from relativistic (Wilson) heavy quark simulations.
dc.description39 pages (REVTeX) including 10 figures (PostScript); Final version accepted for publication: Added new section for clarity; Included comparison to recent results by other groups; slight numerical changes; Essential conclusions remain the same
dc.identifierhttps://arxiv.org/abs/hep-lat/9610026
dc.identifierhttp://arxiv.org/abs/hep-lat/9610026
dc.identifierPhys.Rev.D56:6993-7011,1997
dc.identifierdoi:10.1103/PhysRevD.56.6993
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198365
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA calculation of the $B_{B}$ parameter in the static limit
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