Reducing theoretical uncertainties in mb and lambda1
Abstract
We calculate general moments of the lepton energy spectrum in inclusive semileptonic B -> Xc l decay. Moments which allow the determination of mb1S and lambda1 with theoretical uncertainties Delta(mb1S) ~ 0.04 GeV and Delta(lambda1) ~ 0.05 GeV2 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 lambda1 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 B -> Xc l decay.
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