A first glance to the kinematic moments of B → Xcℓν at third order

A bstract

We study the impact of third-order QCD corrections for several kinematic moments of the inclusive semileptonic B decays, to first order in the 1 /m _b expansion. We consider the first four moments of the charged-lepton energy E _R spectrum, the total leptonic invariant mass q ² and the hadronic invariant mass \[ {M}_X^2 \] . No experimental cuts are applied. Our analytic results are obtained via an asymptotic expansion around the limit m _b ~ m _c . After converting the scheme for the bottom mass to the kinetic scheme we compare the size of higher QCD corrections to the contributions from 1 / \[ {m}_b^2 \] and 1 / \[ {m}_b^3 \] power corrections and to the relative uncertainties.