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

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 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.

arXiv comment30 pages, 8 figures, 6 tables

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Cited by in corpus (14)

• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• Measurement of the charged-pion polarisability
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Hadron Polarizabilities
• Pion Polarizabilities from $\gamma \gamma \to \pi \pi$ Analysis
• Compton Scattering off Pions and Electromagnetic Polarizabilities
• Reply to "Comment on `The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory'"
• Comment on "Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory"
• Polarizabilities from kaon Compton scattering
• Quadrupole polarizabilities of the pion in the Nambu--Jona-Lasinio model
• Status of chiral perturbation theory for light mesons
• Chiral effective field theories of the strong interactions
• Chiral perturbation theory in the meson sector
• Insights into $Q^2{\bar{Q}}^2$ states from an effective perspective