Dispersive and chiral symmetry constraints on the light meson form factors

Details Dispersive and chiral symmetry constraints on the light meson form factors Dispersive and chiral symmetry constraints on the light meson form factors

1999-07-05

arxiv.org/abs/hep-ph/9907227v1

Eur.Phys.J.C13:471-484,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, 3 figures

Scientific paper

10.1007/s100520050710

The form factors of the light pseudoscalar mesons are investigated in a dispersive formalism based on hadronic unitarity, analyticity and the OPE expansion of the QCD Green functions. We propose generalizations of the original mathematical techniques, suitable for including additional low energy information provided by experiment or Chiral Perturbation Theory (CHPT). The simultaneous treatment of the electroweak form factors of the $\pi$ and $K$ mesons allows us to test the consistency with QCD of a low energy CHPT theorem. By applying the formalism to the pion electromagnetic form factor, we derive quite strong constraints on the higher Taylor coefficients at zero momentum, using information about the phase and the modulus of the form factor along a part of the unitarity cut.

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