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

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

2008-10-06

arxiv.org/abs/0810.0987v1

Phys.Rev.D78:114028,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 1 figure

Scientific paper

10.1103/PhysRevD.78.114028

The 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.

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