The one-loop functional of chiral SU(2)

Abstract

The one-loop functional for chiral SU(2) of Gasser and Leutwyler is extended to include up to three propagators. With this generating functional it is possible to calculated all amplitudes up to order phi^6 to next-to-leading order in the low-energy expansion. An external pion is of order phi and a vector gauge boson is of order phi^2. A check of the existing amplitudes for two photons into two pions is given. The one-loop amplitudes and the cross sections for four-pion production in e^+e^- annihilation are calculated.

18 pages, 3 EPS figures; reference corrected

References in corpus (2)

• ππscattering
• Pion and Kaon Electromagnetic Form Factors

Cited by in corpus (8)

• Precision Tau Physics
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Explicit generating functional for pions and virtual photons
• Generating Functional for Strong and Nonleptonic Weak Interactions
• Quantum Corrections in the Resonance Chiral Theory
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Four-pion production
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime