  We determine $|V_{cb}|$ from inclusive semileptonic B decays including
resummation of supposedly large perturbative corrections, which originate from
the running of the strong coupling. We argue that the low value of the BLM
scale found previously for inclusive decays is a manifestation of the
renormalon divergence of the perturbative series starting already in third
order. A reliable determination of $|V_{cb}|$ from inclusive decays is still
possible if one uses a short-distance b quark mass. We find that using the
$\overline{\rm MS}$ running mass significantly reduces the perturbative
coefficients already in low orders. For a semileptonic branching ratio of
$10.9\%$ we obtain $|V_{cb}|(\tau_B/1.50\,{\rm ps})^{1/2}=0.041\pm 0.002\pm
0.002$. This work was done in collaboration with M. Beneke and V.M.\ Braun.

High Energy Physics - Phenomenology