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

Abstract

Abstract 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 $$ {M}_X^2 $$ . 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 $$ {m}_b^2 $$ and 1/ m b 3 $$ {m}_b^3 $$ power corrections and to the relative uncertainties.

Keywords

• Higher-Order Perturbative Calculations
• Semi-Leptonic Decays
• Bottom Quarks