Electromagnetic corrections in the anomaly sector

Ananthanarayan, B.; Moussallam, B.

doi:10.1088/1126-6708/2002/05/052

Electromagnetic corrections in the anomaly sector

May, 2002

27 pages

Published in:

JHEP 05 (2002) 052

e-Print:

hep-ph/0205232 [hep-ph]

DOI:

10.1088/1126-6708/2002/05/052

Report number:

IISC-CTS-03-02,
IPNO-DR-02-013

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Abstract: (arXiv)

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.

Note:

26 pages, 3 figures

perturbation theory: chiral
anomaly
flavor: 2
isospin: violation
effective Lagrangian: chiral
photon pi: interaction
pi0: radiative decay
amplitude analysis: decay
radiative correction: higher-order
effect: electromagnetic

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