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Photon-Photon Scattering, Pion Polarizability and Chiral Symmetry
High Energy Physics - Phenomenology · Submitted 2 Feb 1993
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using the values for the polarizability required by chiral symmetry, predicted and experimental cross sections are shown to be in agreement.
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The abstract, sentence by sentence
Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. The connection between calculations based on dispersion relations and on chiral perturbation theory is established by matching the low energy chiral amplitude with that given by a full dispersive treatment. Using the values for the polarizability required by chiral symmetry, predicted and experimental cross sections are shown to be in agreement.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. | background 0.73 | 0.14 | 0.05 | asserted 0.56 |
| s1 | The connection between calculations based on dispersion relations and on chiral perturbation theory is established by matching the low energy chiral amplitude with that given by a full dispersive treatment. | method 0.56 | 0.70 | 0.16 | asserted 1.00 |
| s2 | Using the values for the polarizability required by chiral symmetry, predicted and experimental cross sections are shown to be in agreement. | result 1.00 | 0.69 | 0.71 | asserted 1.00 |
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The paper
Original abstract
Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. The connection between calculations based on dispersion relations and on chiral perturbation theory is established by matching the low energy chiral amplitude with that given by a full dispersive treatment. Using the values for the polarizability required by chiral symmetry, predicted and experimental cross sections are shown to be in agreement.
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References
How the literature uses it
8 arXiv papers cite this in 13 sentences
Papers citing it · 5 sentences without a confident label
Builds on it 1 paper
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[ref] ) to the case where one photon is virtual.
Unified dispersive approach to real and virtual photon-photon scattering at low energy · Conclusions · 0.97
Cites it as background 6 papers
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Refs. [ref] also discuss how the MO dispersive representation matches with the chiral one-loop representation, which had been computed in refs.
MO analysis of the high statistics Belle results on $\gamma\gamma\to \pi^+\pi^-,\pi^0\pi^0$ with chiral constraints · Introduction: · 0.81
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The polarizabilities were investigated theoretically within Chiral Perturbation Theory up to two loops [ref] , with the methods of Lattice QCD [ref] , within various phenomenological models [ref] and with the help of dispersion relations [ref] .
Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum · Introduction · 0.98
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On the other hand, many theoretical approaches have been considered in understanding pion polarizabilities, including quark models [ref] , the bosonized NJL model [ref] , chiral perturbation theory [ref] , dispersion sum rules [ref] and the linear sigma model [ref] .
Chiral extrapolation of the magnetic polarizability of the neutral pion · Introduction · 1.00
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