Non-Leptonic Kaon Decays and the Chiral Anomaly

Abstract

An investigation is performed of all non-leptonic kaon decays sensitive to the chiral anomaly. Within the framework of chiral perturbation theory, there are two classes of anomalous amplitudes at $O(p^4)$: reducible and direct contributions. Only radiative transitions are affected by the anomaly. The phenomenology of the decays $K_L\to {\pi }^{+}{\pi }^{-}\gamma$ and $K^{+}\to {\pi }^{+}{\pi }^0\gamma$ is studied in detail. Including the dominant contributions of $O(p^6)$, the experimentally observed dependence of the direct emission amplitude for $K_L\to {\pi }^{+}{\pi }^{-}\gamma$ on the photon energy can be understood. A survey is made of the rare ``anomalous'' decays $K\to \pi \pi \gamma \gamma$ and $K\to 3\pi \gamma (\gamma )$, including some numerical estimates.

LaTeX, 31 pages (3 figures, not included), CERN-TH.6920/93

References in corpus (3)

• The Chiral Anomaly in Non-Leptonic Weak Interactions
• Rare and Radiative Kaon Decays
• Direct CP Violation in $K_L\to {\pi }^{+}{\pi }^{-}\gamma$

Cited by in corpus (29)

• Chiral perturbation theory
• Chiral Perturbation Theory
• Kaon Decays in the Standard Model
• Vector meson exchange contributions to K --> pi gamma gamma and K(L) -> gamma lepton+ lepton-
• Radiative Kaon Decays and the Penguin Contribution to the Delta I = 1/2 Rule
• Hunting down massless dark photons in kaon physics
• $K\to \pi \pi \gamma$ decays: a search for novel couplings in kaon decays
• Spin-1 resonance contributions to the weak Chiral Lagrangian: the vector field formulation
• K_L to π^+ π^- e^+ e^-
• Measurement of the direct emission and interference terms and search for CP violation in the decay K\pm -> π\pmπ^0 g
• The s ---> d gamma decay in and beyond the Standard Model
• Radiative Four--Meson Amplitudes in Chiral Perturbation Theory
• Study of the KL to PI+PI-GAMMA Direct Emission Vertex
• Generating Functional for Strong and Nonleptonic Weak Interactions
• Measurement of Direct Photon Emission in K^+ -> pi^+ pi^0 gamma Decay
• Constraints on $s\to d\gamma$ from Radiative Hyperon and Kaon Decays
• Different approaches to calculate the $K^{\pm }\to {\pi }^{\pm }{\pi }^0{e}^{+}{e}^{-}$ decay width
• Measurement of direct photon emission in $K^{+}\to {\pi }^{+}{\pi }^0\gamma$ decay using stopped positive kaons
• Improved Standard-Model prediction for $K_L\to {\ell }^{+}{\ell }^{-}$
• Form factor in K+ --> pi+ pi0 gamma: interference versus direct emission
• Discovering True Muonium in $K_L\to ({\mu }^{+}{\mu }^{-})\gamma$
• Analysis of K_L -> pi^+ pi^- gamma in Chiral Perturbation Theory
• The CP-violating asymmetry in K_L -> pi+ pi- e+ e-
• Complete Leading Order Analysis in Chiral Perturbation Theory of the Decays $K_L\to \gamma \gamma$ and $K_L\to\ell^+\el^-γ$
• New result on the measurement of the direct photon emission in K+ --> pi^+ pi^0 gamma decay
• Long-distance contribution to the muon-polarization asymmetry in K^+\to π^+ μμ
• Theoretical overview of kaon decays
• Consistency tests of AMPCALCULATOR and chiral amplitudes in SU(3) Chiral Perturbation Theory: A tutorial based approach
• A status report concerning theoretical predictions for various kaon decays