Pion polarizabilities: No conflict between dispersion theory and ChPT
B. Pasquini, (Pavia U. & INFN, Pavia), D. Drechsel, S. Scherer, (Mainz, U., Inst. Kernphys.)
TL;DR
This paper investigates the apparent discrepancy between dispersion relation-based and chiral perturbation theory predictions of pion polarizabilities, analyzing the analytic properties of the models and their intermediate-meson contributions.
Contribution
It clarifies that the disagreement arises from the analytic assumptions in dispersion models, reconciling them with ChPT predictions.
Findings
Dispersion relation models' analytic structures influence polarizability estimates
Intermediate-meson contributions are strongly enhanced due to non-analytic structures
No fundamental conflict exists between dispersion theory and ChPT for pion polarizabilities
Abstract
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 to non-analytic structures
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