NNLO corrections to B --> X_u l nu in the shape-function region

dc.creatorAsatrian, H. M.
dc.creatorGreub, C.
dc.creatorPecjak, B. D.
dc.date2008-10-06
dc.date.accessioned2026-07-07T12:27:02Z
dc.date.available2026-07-07T12:27:02Z
dc.descriptionThe inclusive decay B --> X_u l nu is of much interest because of its potential to constrain the CKM element |V_ub|. Experimental cuts required to suppress charm background restrict measurements of this decay to the shape-function region, where the hadronic final state carries a large energy but only a moderate invariant mass. In this kinematic region, the differential decay distributions satisfy a factorization formula of the form $H \cdot J \otimes S$, where S is the non-perturbative shape function, and the object $H \cdot J$ is a perturbatively calculable hard-scattering kernel. In this paper we present the calculation of the hard function H at next-to-next-to-leading order (NNLO) in perturbation theory. Combined with the known NNLO result for the jet function J, this completes the perturbative part of the NNLO calculation for this process.
dc.description17 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0810.0987
dc.identifierhttp://arxiv.org/abs/0810.0987
dc.identifierPhys.Rev.D78:114028,2008
dc.identifierdoi:10.1103/PhysRevD.78.114028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215072
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNNLO corrections to B --> X_u l nu in the shape-function region
dc.typetext

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