Semileptonic B and Lambda_b Decays and Local Duality in QCD

Details Semileptonic B and Lambda_b Decays and Local Duality in QCD Semileptonic B and Lambda_b Decays and Local Duality in QCD

1995-11-03

arxiv.org/abs/hep-ph/9511233v3

Phys.Rev. D54 (1996) 2081-2096

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 3 eps figures, uses revtex (Revision: a discussion of radiative corrections to the bound K>0 of Section 7.B has been

Scientific paper

10.1103/PhysRevD.54.2081

The inclusive and exclusive semileptonic decay distributions for b -> c decay are computed in the Shifman-Voloshin limit. The inclusive decay distributions (computed using an operator product expansion) depend on quark masses, and the exclusive decay distributions depend on hadron masses. Nevertheless, we show explicitly how the first two terms in the 1/m expansion match between the inclusive and exclusive decays. Agreement between the inclusive and exclusive decay rates requires a minimum smearing region of size Lambda_QCD before local duality holds in QCD. The alpha_s corrections to the inclusive and exclusive decay rates are also shown to agree to order (log m)/m^2. The alpha_s/m^2 corrections are used to obtain the alpha_s correction to Bjorken's inequality on the slope of the Isgur-Wise function.

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