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Three loop calculations and inclusive $V_{cb}$

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arxiv 2107.00604 v2 pith:W2IWKN5Z submitted 2021-07-01 hep-ph

classification hep-ph
keywords calculationsinclusivequarkalphadeterminationdiscusseffectfael
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We discuss the impact of the recent $\mathcal{O}(\alpha_s^3)$ calculations of the semileptonic width of the $b$ quark and of the relation between pole and kinetic heavy quark masses by Fael et al. on the inclusive determination of $|V_{cb}|$. The most notable effect is a reduction of the uncertainty. Our final result is $|V_{cb}|=42.16(51)\, 10^{-3}$.

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Cited by 4 Pith papers

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