Improving extractions of |Vcb| and mb from the hadronic invariant mass moments of semileptonic inclusive B decay -: art. no. 073003

We calculate the hadronic tensor for inclusive semileptonic B-->X(c)l (nu) over bar decay to O(alpha(s)). This allows O(alpha(s)Lambda(QCD)/m(b)) corrections to hadronic invariant mass observables to be directly evaluated with experimentally required cuts on phase space. Several moments of phenomenological interest are presented to order O(alpha(s)Lambda(QCD)/m(b)) and O(Lambda(QCD)(3)/m(b)(3)), allowing a consistent extraction of the heavy quark effective theory parameters up to O(Lambda(QCD)(3)/m(b)(3)) and the b quark mass with theoretical error similar to50 MeV. The hadronic invariant mass spectrum is examined with a general moment to obtain observables that test the theoretical error estimate assigned to these parameters; in particular, fractional moments that directly test the operator product expansion for inconsistencies in the hadronic invariant mass spectrum are reported. The m(b)Lambda(QCD)/m(c)(2) expansion present for fractional moments of the hadronic invariant mass spectrum is discussed and shown to introduce a numerically suppressed uncertainty of O(m(b)(4)Lambda(QCD)(4)/m(c)(8)).