Chiral Perturbation Theory with Virtual Photons and Leptons

Details Chiral Perturbation Theory with Virtual Photons and Leptons Chiral Perturbation Theory with Virtual Photons and Leptons

1999-09-08

arxiv.org/abs/hep-ph/9909284v1

Eur.Phys.J.C12:469-478,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, no figures

Scientific paper

10.1007/s100529900265

We construct a low-energy effective field theory which allows the full treatment of isospin-breaking effects in semileptonic weak interactions. To this end, we enlarge the particle spectrum of chiral perturbation theory with virtual photons by including also the light leptons as dynamical degrees of freedom. Using super-heat-kernel techniques, we determine the additional one-loop divergences generated by the presence of virtual leptons and give the full list of associated local counterterms. We illustrate the use of our effective theory by applying it to the decays pi -> l nu_{l} and K -> l nu_{l}.

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