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Chiral perturbation theory with virtual photons and leptons

  • M. Knecht
  • H. Neufeld
  • H. Rupertsberger
  • P. Talavera
Theoretical physics

Abstract.

We construct a low-energy effective field theory which allows for a full treatment of the 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 \(\pi \to \ell \nu_{\ell}\) and \(K \to \ell \nu_{\ell}\).

Keywords

Field Theory Perturbation Theory Weak Interaction Full List Virtual Photon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • M. Knecht
    • 1
  • H. Neufeld
    • 2
  • H. Rupertsberger
    • 2
  • P. Talavera
    • 3
  1. 1.Centre de Physique Théorique, CNRS Luminy, Case 907, 13288 Marseille Cedex 9, FranceFR
  2. 2.Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090 Wien, AustriaAT
  3. 3.Department of Theoretical Physics 2, Lund University, Sölvegatan 14A, 22362 Lund, SwedenSE

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