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

Details 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 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

1996-08-08

arxiv.org/abs/hep-lat/9608039v1

Nucl.Phys.Proc.Suppl.53:365-367,1997

Physics

High Energy Physics

High Energy Physics - Lattice

3 latex pages, uses espcrc2.sty (included). Talk presented at LATTICE96(heavy quarks)

Scientific paper

10.1016/S0920-5632(96)00661-5

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, $\overline{\Lambda}$ and the kinetic energy of the b quark in the B meson, $\lambda_1$, 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, $\lambda_2$; 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 $\beta=6.0$. For $\overline{\Lambda}$ and $\overline{m}_{b}(\overline{m}_{b})$, we obtain our estimates by combining results from three independent lattice simulations at $\beta=6.0$, $6.2$ and $6.4$ on the same volume.

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