# Electromagnetic corrections in the anomaly sector

Ananthanarayan, B and Moussallam, B (2002) Electromagnetic corrections in the anomaly sector. [Preprint]

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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.

Item Type: Preprint JHEP 0205 (2002) 052 Chiral Lagrangians;Quark masses;Anomalies;Radiative corrections Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Ramnishath A 25 Aug 2008 19 Sep 2010 04:13 http://eprints.iisc.ac.in/id/eprint/787