New-physics signatures via $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^0{\mu }^{+}{\mu }^{-}$ and ${\eta }^{\prime }\to \eta {\mu }^{+}{\mu }^{-}$ decays

Abstract

In this work we investigate the prospect of observing new-physics signatures via $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^0{\mu }^{+}{\mu }^{-}$ and ${\eta }^{\prime }\to \eta {\mu }^{+}{\mu }^{-}$ decays at the REDTOP experiment. We make use of the SMEFT to parametrise the new-physics $CP$-violating effects and find that the projected REDTOP statistics are not competitive with respect to nEDM experiments. This reasserts the $\eta \to {\mu }^{+}{\mu }^{-}$ process as the most promising channel to find $CP$-violation at this experimental facility.

arXiv comment12 pages, 1 figure, 1 table; v2 includes a comment about the neutron EDM constraint and possible accidental Wilson coefficient cancellations

References in corpus (16)

• Dimension-Six Terms in the Standard Model Lagrangian
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Measurement of the permanent electric dipole moment of the neutron
• Large N_c in chiral perturbation theory
• On the 1/N expansion in chiral perturbation theory
• Towards a consistent estimate of the chiral low-energy constants
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• eta-eta' mixing from U_L(3) x U_R(3) Chiral Perturbation Theory
• Predictions on the second-class current decays ${\tau }^{-}\to {\pi }^{-}{\eta }^{(\prime )}{\nu }_{\tau }$
• Chiral dynamics predictions for eta' -> eta pi pi
• VMD, the WZW Lagrangian and ChPT: The Third Mixing Angle
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• A theoretical analysis of the semileptonic decays ${\eta }^{(\prime )}\to {\pi }^0{l}^{+}{l}^{-}$ and ${\eta }^{\prime }\to \eta l^{+}{l}^{-}$
• $CP$ violation in $\eta$ muonic decays

Cited by in corpus (4)

• The semileptonic decays ${\eta }^{(\prime )}\to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$ in the standard model
• $C$ and $CP$ violation in effective field theories
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$
• $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays