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

نویسنده

  • Björn O. Lange
چکیده

A leading-power factorization formula for weight functions relating the B̄ → Xsγ photon spectrum to arbitrary partial decay rates in B̄ → Xu lν̄ is derived. These weight functions are independent of the hadronic shape function and allow for the determination of |Vub| in a model-independent way. We calculate the weight function in renormalizationgroup improved perturbation theory to complete next-to-next-to leading order at the jet scale μi ∼ mbΛQCD and to next-to leading order at the hard scale μh ∼ mb. First-order power corrections are also included, where a model-dependence enters via the appearance of subleading hadronic shape functions.

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تاریخ انتشار 2005