Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.
Bottom quark pole mass and $|V_{cb}|$ matrix element from $R(e^+e^-\to b\bar b)$ and $\Gamma_{sl}(b\to cl\nu_l)$ in the next-to-next-to-leading order
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abstract
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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From QCD sum rules to HQET sum rules: Heavy-quark limit of four-quark operator matrix elements
Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.