Significant improvements in the extraction of the CKM matrix element Vcb have been made in the past two years. This progress was achieved not only through new theoretical calculations in the framework of Heavy Quark Expansions (HQE) but also by the experimental extraction of inclusive kinematic distributions in semileptonic B decays, like moments of the hadron mass and lepton energy distribution, with higher accuracy.
The BABAR Collaboration has recently published a determination of Vcb with a relative error of 2%. This level of accuracy has not been reached before and involves extracting the b- and c-quark masses as well as other Heavy Quark parameters with very high precision. Based on HQE calculations in the kinetic mass scheme, BABAR extracts the b-and c-quark masses with relative errors of 1.5% of and 8% respectively. The difference of the two quark masses is even measured with an accuracy of 33 MeV (1% relative error).
The talk reviews first the theoretical and then the experimental developments in this area.