Inclusive decays of B mesons into Ds and Ds∗ at O(αs) including Ds∗ polarization effects

The dominant contribution to the inclusive decays of B mesons into the charm-strangeness mesons Ds and Ds∗ is expected to be given by the partonic process b→c+(Ds−,Ds∗−). We determine the nonperturbative O(1/mb2) and the O(αs) radiative corrections to b→c+(Ds−,Ds∗−) and thereby to the inclusive decays B̄→Xc+(Ds−,Ds∗−). The new feature of our calculation is that we separately determine the nonperturbative and the O(αs) corrections to the longitudinal (L) and transverse (T) pieces of the spin 1 Ds∗− meson. The longitudinal/transverse composition of the Ds∗− can be probed through its two principal decay modes Ds∗−→Ds−+γand Ds∗−→Ds−+π0 for which we write down the angular decay distributions.