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Factorization, the light cone distribution amplitude of the b meson and the radiative decay B??Lv(L)

Factorization, the light cone distribution amplitude of the b meson and the radiative decay B??Lv(L)
Factorization, the light cone distribution amplitude of the b meson and the radiative decay B??Lv(L)
We study the radiative decay B??Lv(L) in the framework of QCD factorization. We demonstrate explicitly that, in the heavy-quark limit and at one-loop order in perturbation theory, the amplitude does factorize, i.e. that it can be written as a convolution of a perturbatively calculable hard-scattering amplitude with the (non-perturbative) light-cone distribution amplitude of the B-meson. We evaluate the hard-scattering amplitude at one-loop order and verify that the large logarithms are those expected from a study of the b?u transition in the Soft-Collinear Effective Theory. Assuming that this is also the case at higher orders, we resum the large logarithms and perform an exploratory phenomenological analysis. The questions addressed in this study are also relevant for the applications of the QCD factorization formalism to two-body non-leptonic B-decays, in particular to the component of the amplitude arising from hard spectator interactions.
0550-3213
356-390
Descotes-Genon, S.
a171961a-825b-4771-bd1e-60eb9f45bd87
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Descotes-Genon, S.
a171961a-825b-4771-bd1e-60eb9f45bd87
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7

Descotes-Genon, S. and Sachrajda, C.T. (2003) Factorization, the light cone distribution amplitude of the b meson and the radiative decay B??Lv(L). Nuclear Physics B, 650 (1-2), 356-390. (doi:10.1016/S0550-3213(02)01066-0).

Record type: Article

Abstract

We study the radiative decay B??Lv(L) in the framework of QCD factorization. We demonstrate explicitly that, in the heavy-quark limit and at one-loop order in perturbation theory, the amplitude does factorize, i.e. that it can be written as a convolution of a perturbatively calculable hard-scattering amplitude with the (non-perturbative) light-cone distribution amplitude of the B-meson. We evaluate the hard-scattering amplitude at one-loop order and verify that the large logarithms are those expected from a study of the b?u transition in the Soft-Collinear Effective Theory. Assuming that this is also the case at higher orders, we resum the large logarithms and perform an exploratory phenomenological analysis. The questions addressed in this study are also relevant for the applications of the QCD factorization formalism to two-body non-leptonic B-decays, in particular to the component of the amplitude arising from hard spectator interactions.

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Published date: 3 February 2003

Identifiers

Local EPrints ID: 14753
URI: http://eprints.soton.ac.uk/id/eprint/14753
ISSN: 0550-3213
PURE UUID: c35809c2-cde2-4101-8bbf-e4cdaa9808df

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Date deposited: 25 Feb 2005
Last modified: 19 Nov 2021 17:48

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Contributors

Author: S. Descotes-Genon
Author: C.T. Sachrajda

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