Shape-Function Effects and Split Matching in B-> Xs l+ l-

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dc.creatorLee, Keith S. M.
dc.creatorStewart, Iain W.
dc.date2005-11-30
dc.date2006-06-30
dc.date.accessioned2026-07-07T11:04:56Z
dc.date.available2026-07-07T11:04:56Z
dc.descriptionWe derive the triply differential spectrum for the inclusive rare decay B -> Xs l+ l- in the shape function region, in which Xs is jet-like with $mX^2 \lesssim mb Λ_QCD$. Experimental cuts make this a relevant region. The perturbative and non-perturbative parts of the matrix elements can be defined with the Soft-Collinear Effective Theory, which is used to incorporate alphas corrections consistently. We show that, with a suitable power counting for the dilepton invariant mass, the same universal jet and shape functions appear as in B-> Xs gamma and B-> Xu l nu decays. Parts of the usual alphas(m_b) corrections go into the jet function at a lower scale, and parts go into the non-perturbative shape function. For B -> Xs l+ l-, the perturbative series in alphas are of a different character above and below mu=mb. We introduce a ``split matching'' method that allows the series in these regions to be treated independently.
dc.description33 pages; journal version
dc.identifierhttps://arxiv.org/abs/hep-ph/0511334
dc.identifierhttp://arxiv.org/abs/hep-ph/0511334
dc.identifierPhys.Rev.D74:014005,2006
dc.identifierdoi:10.1103/PhysRevD.74.014005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189062
dc.subjectHigh Energy Physics - Phenomenology
dc.titleShape-Function Effects and Split Matching in B-> Xs l+ l-
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