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
Additional Information:	JHEP 0205 (2002) 052
Keywords:	Chiral Lagrangians;Quark masses;Anomalies;Radiative corrections
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited:	25 Aug 2008
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ernet.in/id/eprint/787

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