Eta decays at and beyond ${\mathbf{p}}^4$ in Chiral Perturbation Theory

Abstract

An overview is given of Chiral Perturbation Theory and various applications to eta decays. In particular, the main decay $\eta \to 3\pi$ is discussed at the one-loop level, and estimates of the higher order corrections are given. The importance of $p^6$ and higher order effects in double Dalitz and $\eta \to {\pi }^0\gamma \gamma$ decays is pointed out. In all these cases the need for new experimental results is stressed.

Talks presented at the Workshop on Eta Physics, Angstrom laboratory, Uppsala, October 25-27, 2001; published version (Physica Scripta Topical Issues T99 (2002) 34). Typos corrected, conclusions unchanged. 31 pages

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• Is the up-quark massless?
• Effects of different Form-factors in Meson-Photon-Photon Transitions and the Muon Anomalous Magnetic Moment
• I=2 Pion Scattering Length and Phase Shift with Wilson Fermions

Cited by in corpus (26)

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• Rescattering effects in eta {\to} 3pi decays
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Determination of the Dalitz plot parameter alpha for the decay eta->3pi^0 with the Crystal Ball at MAMI-B
• Measurement of the Matrix Elements for the Decays $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta /{\eta }^{\prime }\to {\pi }^0{\pi }^0{\pi }^0$
• Hadronic decays of eta and eta-prime with coupled channels
• Measurement of the eta->3pi0 Dalitz Plot Distribution with the WASA Detector at COSY
• Measurement of the Slope Parameter for the eta->3pi0 Decay in the pp->pp eta Reaction
• Predictions for the cusp in eta->3pi0 decay
• Measurement of the $\eta \to 3{\pi }^0$ slope parameter $\alpha$ with the KLOE detector
• Measurement of the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot distribution
• Solving integral equations in $\eta \to 3\pi$
• Effects of light scalar mesons in $\eta \to 3\pi$ decay
• Determination of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot slopes and asymmetries with the KLOE detector
• The Physics of DAFNE and KLOE
• Patterns of CP violation from mirror symmetry breaking in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot
• High-statistics measurement of the eta->3pi^0 decay at the Mainz Microtron
• An overview of $\eta$ and ${\eta }^{\prime }$ decays at BESIII
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• Precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays
• Analytic continuation of Pasquier inversion representation of Khuri-Treiman equation
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• Status of the PrimEx $\eta$ experiment at Jefferson Lab