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Electromagnetic corrections in the anomaly sector
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abstract
Chiral perturbation theory in the anomaly sector for $N_f=2$ is extended to include dynamical photons, thereby allowing a complete treatment of isospin breaking. A minimal set of independent chiral lagrangian terms is determined and the divergence structure is worked out. There are contributions from irreducible and also from reducible one-loop graphs, a feature of ChPT at order larger than four. The generating functional is non-anomalous at order $e^2p^4$, but not necessarily at higher order in $e^2$. Practical applications to $\gamma\pi\to\pi\pi$ and to the $\pi^0\to2\gamma$ amplitudes are considered. In the latter case, a complete discussion of the corrections beyond current algebra is presented including quark mass as well as electromagnetic effects.
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Cited by 1 Pith paper
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New axion contribution to the two-photon decays of neutral pions
Axion-pion mixing adds a new next-to-leading-order term to the pi0 to gamma gamma decay width that is negligible for standard light axions but may matter for MeV-scale heavy axions.
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