Electromagnetic corrections in the anomaly sector

Details Electromagnetic corrections in the anomaly sector Electromagnetic corrections in the anomaly sector

2002-05-21

arxiv.org/abs/hep-ph/0205232v1

JHEP 0205 (2002) 052

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 3 figures

Scientific paper

10.1088/1126-6708/2002/05/052

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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