CP-violating decays of the pseudoscalars eta and eta' and their connection to the electric dipole moment of the neutron

Abstract

Using the present upper bound on the neutron electric dipole moment, we give an estimate for the upper limit of the CP-violating couplings of the eta(eta') to the nucleon. Using this result, we then derive constraints on the CP-violating eta(eta')-pi-pi couplings, which define the two-pion CP-violating decays of the eta and eta' mesons. Our results are relevant for the running and planned measurements of rare decays of the eta and eta' mesons by the GlueX Collaboration at JLab and the LHCb Collaboration at CERN.

References in corpus (24)

• Electric dipole moments as probes of new physics
• Mixing and Decay Constants of Pseudoscalar Mesons
• A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Electromagnetic excitation of the Delta(1232)-resonance
• Matching Heavy Particle Approach to Relativistic Theory
• An isobar model for eta photo- and electroproduction on the nucleon
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• The decay pi0 to gamma gamma to next to leading order in Chiral Perturbation Theory
• Measurement of the eta and etaprime transition form factors at q^2=112 GeV^2
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• The eta transition form factor from space- and time-like experimental data
• First Results from The GlueX Experiment
• Pseudoscalar glueball and $\eta -{\eta }^{\prime }$ mixing
• The neutron electric dipole form factor in the perturbative chiral quark model
• Implications of R-parity violating supersymmetry for atomic and hadronic EDMs
• A reappraisal of two-loop contributions to the fermion electric dipole moments in R-parity violating supersymmetric models
• Hadronic electric dipole moments in R-parity violating supersymmetry
• R-parity violating supersymmetric Barr-Zee type contributions to the fermion electric dipole moment with weak gauge boson exchange
• The Neutron EDM in the SM : A Review
• Strong CP violation and the neutron electric dipole form factor
• Search for the $CP$-violating strong decays $\eta \to {\pi }^{+}{\pi }^{-}$ and ${\eta }^{\prime }(958)\to {\pi }^{+}{\pi }^{-}$
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme

Cited by in corpus (15)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Structure and decays of hidden heavy pentaquarks
• Implication of the hidden sub-GeV bosons for the $(g-2{)}_{\mu }$, ${}^8$Be-${}^4$He anomaly, proton charge radius, EDM of fermions and dark axion portal
• Implication of the dark axion portal for the EDM of fermions and dark matter probing with NA64$e$, NA64$\mu$, LDMX, $\mbox{M}^3$, and BaBar
• Patterns of CP violation from mirror symmetry breaking in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ Dalitz plot
• Bounds on rare decays of $\eta$ and ${\eta }^{\prime }$ mesons from the neutron EDM
• Lepton Phenomenology of Stueckelberg Portal to Dark Sector
• Updated limits on the CP violating $\eta \pi \pi$ and ${\eta }^{\prime }\pi \pi$ couplings derived from the neutron EDM
• Patterns of $C$- and $CP$-violation in hadronic $\eta$ and ${\eta }^{\prime }$ three-body decays
• Deuteron EDM induced by CP violating couplings of pseudoscalar mesons
• $CP$ violation in $\eta$ muonic decays
• Dark SU(2) Stueckelberg portal
• Static electric dipole moment of the francium atom induced by axionlike particle exchange
• Upper limit on the $\eta \to {\pi }^{+}{\pi }^{-}$ branching fraction with the KLOE experiment
• Relating CP-violating decays to the neutron EDM