Three loop calculations and inclusive $V_{cb}$

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 $|V_{cb}|=42.16(51)10^{-3}$.

6 pages, 1 figure

References in corpus (8)

• Precision determination of the CKM element Vcb
• The $V_{cb}$ puzzle: an update
• Mass effects in muon and semileptonic b -> c decays
• Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?
• Higher Order Power Corrections in Inclusive B Decays
• Inclusive semi-leptonic decays from lattice QCD
• Heavy-to-heavy quark decays at NNLO
• Inclusive determination of $|V_{cb}|$ at Belle

Cited by in corpus (3)

• Loopy Determinations of $V_{ub}$ and $V_{cb}$
• Determination of $|V_{cb}|$ using N${}^3$LO perturbative corrections to $\Gamma (B\to X_c\ell \nu )$ and 1S masses
• Theory Motivation: What measurements are needed?