$CP$ violation in $\eta$ muonic decays

Abstract

In this study, we investigate the imprints of $CP$ violation in certain $\eta$ muonic decays that could arise within the Standard Model effective field theory. In particular, we study the sensitivities that could be reached at REDTOP, a proposed $\eta$ facility. After estimating the bounds that the neutron EDM places, we find still viable to discover signals of $CP$ violation via the muons' polarization in $\eta \to {\mu }^{+}{\mu }^{-}$ decays at REDTOP, with a single effective operator as its plausible source.

arXiv comment18 pages, 5 figures. Matches the published version in JHEP; contains minor changes in Appendix E

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Cited by in corpus (8)

• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• $C$ and $CP$ violation in effective field theories
• New-physics signatures via $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^0{\mu }^{+}{\mu }^{-}$ and ${\eta }^{\prime }\to \eta {\mu }^{+}{\mu }^{-}$ decays
• Observation of $J/\psi$ decays to $e^{+}{e}^{-}{e}^{+}{e}^{-}$ and $e^{+}{e}^{-}{\mu }^{+}{\mu }^{-}$
• $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$