Form Factors for Semileptonic B -> pi and D -> pi Decays from the Omnes Representation

Details Form Factors for Semileptonic B -> pi and D -> pi Decays from the Omnes Representation Form Factors for Semileptonic B -> pi and D -> pi Decays from the Omnes Representation

2000-07-24

arxiv.org/abs/hep-ph/0007263v2

Phys.Lett. B505 (2001) 82-88

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages latex, 5 figures, uses graphicx package. Version accepted for publication (discussion extended, one extra figure)

Scientific paper

10.1016/S0370-2693(01)00333-1

We use the Omnes representation to obtain the q-squared dependence of the form factors f+ and f0 for semileptonic H -> pi decays from the elastic pi H -> pi H scattering amplitudes, where H denotes a B or D meson. The scattering amplitudes used satisfy elastic unitarity and are calculated from two-particle irreducible amplitudes obtained using tree-level heavy meson chiral perturbation theory (HMChPT). The q-squared 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 q-squared found in sumrule calculations.

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