Chiral perturbation theory in the meson sector

Abstract

The present status of Chiral Perturbation Theory in the meson sector is discussed concentrating on recent developments. This write-up contains short discussions on a listing a few historical papers, the principles behind ChPT, two-flavour ChPT including some comments about the pion polarizability, three-flavour ChPT with a discussion of the recently found relations as tests of ChPT and preliminary results of a new fit of the NLO low-energy-constants (LECs). It discusses somewhat deeper $\eta \to 3\pi$ and the arguments for the existence of a ``hard pion ChPT'' and its application to $K\to 2\pi$.

12 pages

References in corpus (13)

• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Measurement of the Slope Parameter $\alpha$ for the $\eta \to 3{\pi }^0$ decay with the Crystal Ball detector at the Mainz Microtron (MAMI-C)
• Determination of the Chiral Couplings L_10 and C_87 from Semileptonic Tau Decays
• Integrating out strange quarks in ChPT
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• Determination of ${\pi }^{+}-$ meson polarizabilities from the $\gamma \gamma ->{\pi }^{+}{\pi }^{-}$ process
• SU(2) chiral perturbation theory for Kl3 decay amplitudes
• Measurement of the Slope Parameter for the eta->3pi0 Decay in the pp->pp eta Reaction
• The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
• On the two-loop contributions to the pion mass
• Quark Mass dependence at Two Loops for Meson Properties
• Status of Strong ChPT