Shape-function independent relations of charmless inclusiveB-decay spectra | Zendy

Björn Lange | Zendy

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Shape-function independent relations of charmless inclusiveB-decay spectra

Author(s) -

Björn Lange

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/01/104

Subject(s) - physics , factorization , hadron , particle physics , quantum chromodynamics , renormalization group , renormalization , order (exchange) , perturbation theory (quantum mechanics) , function (biology) , spectral line , mathematical physics , mathematics , quantum mechanics , evolutionary biology , biology , finance , algorithm , economics

A leading-power factorization formula for weight functions relating the B toXs gamma photon spectrum to arbitrary partial decay rates in B to Xu l nu isderived. These weight functions are independent of the hadronic shape functionand allow for the determination of V_{ub} in a model-independent way. Wecalculate the weight function in renormalization-group improved perturbationtheory to complete next-to-next-to leading order at the jet scale mu_i^2 ~ m_bLambda_{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-dependenceenters via the appearance of subleading hadronic shape functions.Comment: 20 pages, 2 figure

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