The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory

Details The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory

2008-05-02

arxiv.org/abs/0805.0213v1

Phys.Rev.C77:065211,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 8 figures, 6 tables

Scientific paper

10.1103/PhysRevC.77.065211

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of the Compton amplitudes. The analytic properties of these forms are examined, and the strong enhancement of intermediate-meson contributions is shown to be connected with spurious singularities. If the basic requirements of dispersion relations are taken into account, the results of dispersion theory and effective field theory are not inconsistent.

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