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23 - Chiral Perturbation Theory

from Part III - Strong Interaction

Published online by Cambridge University Press:  06 February 2025

Wolfgang Bietenholz
Affiliation:
Universidad Nacional Autónoma de México
Uwe-Jens Wiese
Affiliation:
Universität Bern, Switzerland
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Summary

Chiral perturbation theory is the systematic low-energy effective theory of QCD, in terms of low-energy parameters and pseudo-Nambu–Goldstone boson fields representing pions, kaons, and the η. We discuss their masses in leading order, and the corresponding electromagnetic corrections, where we arrive at Dashen’s theorem. We show how this low-energy scheme even encompasses nucleons, and how QCD provides corrections to the weak gauge boson masses. In that context, we comment on a technicolor extension and on the hypothesis of minimal flavor violation, which is described by spurions.

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Publisher: Cambridge University Press
Print publication year: 2025

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