Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu

Details Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu

2004-09-06

arxiv.org/abs/hep-ph/0409045v2

Nucl.Phys.B721:325-406,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

76 pages, 21 figs

Scientific paper

10.1016/j.nuclphysb.2005.05.004

We derive factorization theorems for Lambda_QCD/mb power corrections to inclusive B-decays in the endpoint region, where mX^2 ~mb Lambda_QCD. In B-> Xu e nu our results are for the full triply differential rate. A complete enumeration of Lambda_QCD/mb corrections is given. We point out the presence of new Lambda_QCD/mb-suppressed shape functions, which arise at tree level with a $4 pi$-enhanced coefficient, and show that these previously neglected terms induce an additional large uncertainty for current inclusive methods of measuring |Vub| that depend on the endpoint region of phase space.

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