Global analysis of inclusiveBdecays

In light of the large amount of new experimental data, we revisit the determination of $|V_{cb}|$ and $m_b$ from inclusive semileptonic and radiative $B$ decays. We study shape variables to order ${\Lambda }_{\mathrm{Q}\mathrm{C}\mathrm{D}}^3/m_b^3$ and ${\alpha }_s^2{\beta }_0$, and include the order ${\alpha }_s{\Lambda }_{\mathrm{Q}\mathrm{C}\mathrm{D}}/m_b$ correction to the hadron mass spectrum in semileptonic decay, which improves the agreement with the data. We focus on the $1S$ and kinetic mass schemes for the $b$ quark, with and without expanding $m_b-m_c$ in heavy quark effective theory. We perform fits to all available data from BABAR, BELLE, CDF, CLEO, and DELPHI, discuss the theoretical uncertainties, and compare with earlier results. We find $|V_{cb}|=(41.4\pm 0.6\pm {0.1}_{{\tau }_B})\times {10}^{-3}$ and $m_b^{1S}=4.68\pm 0.03\mathrm{G}\mathrm{e}\mathrm{V}$, including our estimate of the theoretical uncertainty in the fit.