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