Chiral Perturbation Theory Beyond One Loop

Abstract

The existing Chiral Perturbation Theory (ChPT) calculations at order $p^6$ are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the two- and three-flavour full two-loop calculations and their comparison with experiment. We restrict the discussion to the mesonic purely strong and semileptonic sector. The review concludes by mentioning the existing results in finite volume, finite temperature and partially quenched ChPT.

66 pages, review article, some references added plus a few discussions extended

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• An example of resonance saturation at one loop
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• Two-loop Analysis of Axialvector Current Propagators in Chiral Perturbation Theory
• Flavour Stability of the Chiral Vacuum and Scalar Meson Dynamics
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• Theoretical Aspects of the Pion-Pion Interaction
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• Test of exotic scalar and tensor interactions in K_e3 decay using stopped positive kaons
• Pion loops in quenched Quantum Chromodynamics
• A Review of Rare Pion and Muon Decays

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