Reducing theoretical uncertainties inmbandλ1

Abstract
We calculate general moments of the lepton energy spectrum in inclusive semileptonic BXclν¯ decay. Moments which allow the determination of mb1S and λ1 with theoretical uncertainties Δmb1S0.04GeV and Δλ10.05GeV2 are presented. The short distance 1S mass is used to extract a mass parameter free of renormalon ambiguities. Moments which are insensitive to mb and λ1 and therefore test the size of the 1/mb3 matrix elements and the validity of the OPE are also presented. Finally, we give an expression for the total branching ratio with a lower cut on the lepton energy, which allows one to eliminate a source of model dependence in current determinations of |Vcb| from BXclν¯ decay.
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