Patterns of CP violation from mirror symmetry breaking in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot

Abstract

A violation of mirror symmetry in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot has long been recognized as a signal of C and CP violation. Here we show how the isospin of the underlying C- and CP-violating structures can be reconstructed from their kinematic representation in the Dalitz plot. Our analysis of the most recent experimental data reveals, for the first time, that the C- and CP-violating amplitude with total isospin $I=2$ is much more severely suppressed than that with total isospin $I=0$.

8 pages, 3 figures; further discussion of background and assumptions added; results unchanged; published version

References in corpus (10)

• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• Mesonic low-energy constants
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Rescattering effects in eta {\to} 3pi decays
• The decay $\eta \to 3\pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• CP-violating decays of the pseudoscalars eta and eta' and their connection to the electric dipole moment of the neutron
• Determination of $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot slopes and asymmetries with the KLOE detector
• Bounds on rare decays of $\eta$ and ${\eta }^{\prime }$ mesons from the neutron EDM
• Determination of the quark mass ratio $Q$ from $\eta \to 3\pi$

Cited by in corpus (9)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• What can we learn about light-meson interactions at electron-positron colliders?
• Analysis of rescattering effects in $3\pi$ final states
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• $C$ and $CP$ violation in effective field theories
• Precision measurement of the matrix elements for $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta \to {\pi }^0{\pi }^0{\pi }^0$ decays
• Investigating the Isospin Property of $T_{cc}^{+}$ from its Dalitz Plot Distribution
• The REDTOP experiment
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$