Shape-function independent relations of charmless inclusive B-decay spectra

Abstract

A leading-power factorization formula for weight functions relating the B to Xs gamma photon spectrum to arbitrary partial decay rates in B to Xu l nu is derived. These weight functions are independent of the hadronic shape function and allow for the determination of V_{ub} in a model-independent way. We calculate the weight function in renormalization-group improved perturbation theory to complete next-to-next-to leading order at the jet scale mu_i^2 ~ m_b Lambda_{QCD} and to next-to leading order at the hard scale mu_h ~ m_b. First-order power corrections are also included, where a model-dependence enters via the appearance of subleading hadronic shape functions.

20 pages, 2 figures

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Cited by in corpus (11)

• Flavor Physics in the Quark Sector
• Treating the b quark distribution function with reliable uncertainties
• Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation
• New Physics at a Super Flavor Factory
• Subleading Jet Functions in Inclusive B Decays
• Shape-Function Effects and Split Matching in B-> Xs l+ l-
• Can $B->X_c\ell \nu$ help us extract |V_{ub}| ?
• Subleading Shape-Function Effects and the Extraction of |V_ub|
• Extraction of |Vub| with Reduced Dependence on Shape Functions
• Precision Determination of $|V_{ub}|$
• High order perturbative corrections to the determination of |Vub| from the P+ spectrum in B -> Xu l nu