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Form factors for semileptonic B→π, and D→π decays from the Omnès representation

Form factors for semileptonic B→π, and D→π decays from the Omnès representation
Form factors for semileptonic B→π, and D→π decays from the Omnès representation
We use the Omnès representation to obtain the q2 dependence of the form factors f+,0(q2) for semileptonic H→π decays from elastic πH→πH scattering amplitudes, where H denotes a B or D meson. The amplitudes used satisfy elastic unitarity and are obtained from two-particle irreducible amplitudes calculated in tree-level heavy meson chiral perturbation theory (HMChPT). The q2-dependences for the form factors agree with lattice QCD results when the HMChPT coupling constant, g, takes values smaller than 0.32, and confirm the milder dependence of f0 on q2 found in sumrule calculations.
0370-2693
82-88
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, J.
4d72ebe2-1ea0-4579-bd81-4c682ab01a7f
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, J.
4d72ebe2-1ea0-4579-bd81-4c682ab01a7f

Flynn, J.M. and Nieves, J. (2001) Form factors for semileptonic B→π, and D→π decays from the Omnès representation. Physics Letters B, 505 (1-4), 82-88. (doi:10.1016/S0370-2693(01)00333-1).

Record type: Article

Abstract

We use the Omnès representation to obtain the q2 dependence of the form factors f+,0(q2) for semileptonic H→π decays from elastic πH→πH scattering amplitudes, where H denotes a B or D meson. The amplitudes used satisfy elastic unitarity and are obtained from two-particle irreducible amplitudes calculated in tree-level heavy meson chiral perturbation theory (HMChPT). The q2-dependences for the form factors agree with lattice QCD results when the HMChPT coupling constant, g, takes values smaller than 0.32, and confirm the milder dependence of f0 on q2 found in sumrule calculations.

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Published date: 26 April 2001
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Identifiers

Local EPrints ID: 14682
URI: http://eprints.soton.ac.uk/id/eprint/14682
DOI: doi:10.1016/S0370-2693(01)00333-1
ISSN: 0370-2693
PURE UUID: 3ef6fd56-9992-430e-b436-1ee6031ddfc5
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

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Date deposited: 18 Feb 2005
Last modified: 16 Mar 2024 02:44

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Author: J.M. Flynn ORCID iD
Author: J. Nieves

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