Explicit generating functional for pions and virtual photons

Details Explicit generating functional for pions and virtual photons Explicit generating functional for pions and virtual photons

2002-12-13

arxiv.org/abs/hep-ph/0212188v2

JHEP 0302 (2003) 007

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 2 figures; version accepted for publication, minor typographical changes, acknowledgments added

Scientific paper

10.1088/1126-6708/2003/02/007

We construct the explicit one-loop functional of chiral perturbation theory for two light flavours, including virtual photons. We stick to contributions where 1 or 2 mesons and at most one photon are running in the loops. With the explicit functional at hand, the evaluation of the relevant Green functions boils down to performing traces over the flavour matrices. For illustration, we work out the pi+ pi- -> pi0 pi0 scattering amplitude at threshold at order p^4, e^2p^2.

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