Reducing theoretical uncertainties in mb and lambda1
Abstract
We calculate general moments of the lepton energy spectrum in inclusive semileptonic B -> X_c l \nu decay. 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 \nu decay.
Cite
@article{arxiv.hep-ph/0205039,
title = {Reducing theoretical uncertainties in mb and lambda1},
author = {Christian W. Bauer and Michael Trott},
journal= {arXiv preprint arXiv:hep-ph/0205039},
year = {2014}
}
Comments
8 pages, one figure