Bottom quark pole mass and $|V_{cb}|$ matrix element from $R(e^+e^-\to b\bar b)$ and $Γ_{sl}(b\to clν_l)$ in the next-to-next-to-leading order

Details Bottom quark pole mass and $|V_{cb}|$ matrix element from $R(e^+e^-\to b\bar b)$ and $Γ_{sl}(b\to clν_l)$ in the next-to-next-to-leading order Bottom quark pole mass and $|V_{cb}|$ matrix element from $R(e^+e^-\to b\bar b)$ and $Γ_{sl}(b\to clν_l)$ in the next-to-next-to-leading order

1998-07-20

arxiv.org/abs/hep-ph/9807421v2

Nucl.Phys.B549:217-241,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

revised version to appear in Nucl.Phys. B

Scientific paper

10.1016/S0550-3213(99)00182-0

We present a consistent analysis of $\Upsilon$ sum rules and $B$-meson
semileptonic width in the next-to-next-to-leading order in the strong coupling
constant. The analysis is based on the analytical result for the heavy quark
vector current correlator near threshold in the second order in perturbative
and relativistic expansion around the nonrelativistic Coulomb approximation.

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