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Spectator interactions in B -> V gamma decays and QCD factorisation

Spectator interactions in B -> V gamma decays and QCD factorisation
Spectator interactions in B -> V gamma decays and QCD factorisation
We study the radiative decays B = Vγ (where V = ρ,K*) in the framework of QCD factorisation, and in particular the hard-spectator contributions to the decay amplitudes. For the phenomenologically significant chromomagnetic operator, we show by an explicit next-to-leading-order computation that the spectator interactions factorise in the heavy-quark limit, i.e., that they can be written as the convolution of a hard-scattering kernel, computable in perturbation theory, and of the light-cone distribution amplitudes for the B and V mesons which contain the soft physics. The presence of an intermediate scale of O(MBΛQCD) leads to the presence of Sudakov logarithms. We indicate how the demonstration of factorisation can be extended to other (four-quark) operators.
0550-3213
103-133
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. (2004) Spectator interactions in B -> V gamma decays and QCD factorisation. Nuclear Physics B, 693 (1-3), 103-133. (doi:10.1016/j.nuclphysb.2004.06.018).

Record type: Article

Abstract

We study the radiative decays B = Vγ (where V = ρ,K*) in the framework of QCD factorisation, and in particular the hard-spectator contributions to the decay amplitudes. For the phenomenologically significant chromomagnetic operator, we show by an explicit next-to-leading-order computation that the spectator interactions factorise in the heavy-quark limit, i.e., that they can be written as the convolution of a hard-scattering kernel, computable in perturbation theory, and of the light-cone distribution amplitudes for the B and V mesons which contain the soft physics. The presence of an intermediate scale of O(MBΛQCD) leads to the presence of Sudakov logarithms. We indicate how the demonstration of factorisation can be extended to other (four-quark) operators.

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Published date: 16 August 2004

Identifiers

Local EPrints ID: 57169
URI: http://eprints.soton.ac.uk/id/eprint/57169
ISSN: 0550-3213
PURE UUID: e643b27e-2775-477f-85ed-8b372bd3c0a2

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Date deposited: 14 Aug 2008
Last modified: 15 Mar 2024 11:05

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Contributors

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

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