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arXiv · hep-lat/9608039

B Physics on the Lattice: $\overlineΛ$, $λ_{1}$, $\overline{m}_{b}(\overline{m}_{b})$, $λ_2$, $B^{0}-\bar{B}^{0}$ mixing, $\fb$ and all that

V. Gimenez·G. Martinelli·C. T. Sachrajda
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Abstract

We present a short review of our most recent high statistics lattice determinations in the HQET of the following important parameters in B physics: the B--meson binding energy, $\overlineΛ$ and the kinetic energy of the b quark in the B meson, $λ_1$, which due to the presence of power divergences require a non--perturbative renormalization to be defined; the $\overline{MS}$ running mass of the b quark, $\overline{m}_{b}(\overline{m}_{b})$; the $B^{*}$--$B$ mass splitting, whose value in the HQET is determined by the matrix element of the chromo--magnetic operator between B meson states, $λ_2$; the B parameter of the $B^{0}$--$\bar{B}^{0}$ mixing, $B_{B}$, and the decay constant of the B meson, $f_{B}$. All these quantities have been computed using a sample of $600$ gauge field configurations on a $24^{3}\times 40$ lattice at $β=6.0$. For $\overlineΛ$ and $\overline{m}_{b}(\overline{m}_{b})$, we obtain our estimates by combining results from three independent lattice simulations at $β=6.0$, $6.2$ and $6.4$ on the same volume.

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V. Gimenez, G. Martinelli, C. T. Sachrajda. 1996-08-08. B Physics on the Lattice: $\overlineΛ$, $λ_{1}$, $\overline{m}_{b}(\overline{m}_{b})$, $λ_2$, $B^{0}-\bar{B}^{0}$ mixing, $\fb$ and all that. https://doi.org/10.1016/s0920-5632(96)00661-5

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