Reducing theoretical uncertainties in mb and lambda1

Abstract

We calculate general moments of the lepton energy spectrum in inclusive semileptonic B -> X_c l νdecay. Moments which allow the determination of mb^{1S} and lambda1 with theoretical uncertainties Delta(mb^{1S}) ~ 0.04 GeV and Delta(lambda1) ~ 0.05 GeV^2 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/mb^3 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 -> X_c l νdecay.

8 pages, one figure

References in corpus (2)

• Improved Measurement of |V_ub| with Inclusive Semileptonic B Decays
• Heavy quark symmetry in B -> D(*) ell nu spectra

Cited by in corpus (7)

• Global analysis of inclusive B decays
• B decay shape variables and the precision determination of |Vcb| and mb
• Improving Extractions of |Vcb| and mb from the Hadronic Invariant Mass Moments of Semileptonic Inclusive B decay
• Measurement of Lepton Momentum Moments in the Decay bar{B} \to X \ell \barν and Determination of Heavy Quark Expansion Parameters and |V_cb|
• Neural network parametrization of the lepton energy spectrum in semileptonic B meson decays
• The neural network approach to parton distribution functions
• Improving Extractions of |Vcb| and the b Quark Mass from Semileptonic Inclusive B Decay