Study of the interactions of the axion with mesons and photons using a chiral effective Lagrangian model

Abstract

We investigate the most interesting decay processes involving axions, photons and the lightest pseudoscalar mesons, making use of a chiral effective Lagrangian model with $L=3$ light quark flavors, which also includes the flavor-singlet pseudoscalar meson and implements the $U(1)$ axial anomaly of the fundamental theory. In particular, we compute the electromagnetic coupling of the axion to photons and we compare our result with the prediction of the Chiral Effective Lagrangian with $L=2$ light quark flavors. Moreover, we study the decay channels $\eta /{\eta }^{\prime }\to \pi \pi a$ and we estimate the corresponding decay widths, using the existing bounds on the $U(1{)}_{PQ}$ breaking scale.

22 pages, 1 table; completely revised version, published in Eur. Phys. J. C

References in corpus (6)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• New experimental approaches in the search for axion-like particles
• Coupling QCD-scale axion-like particles to gluons
• Bounds on rare decays of $\eta$ and ${\eta }^{\prime }$ mesons from the neutron EDM
• Updated limits on the CP violating $\eta \pi \pi$ and ${\eta }^{\prime }\pi \pi$ couplings derived from the neutron EDM
• Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature

Cited by in corpus (6)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Signals of the QCD axion with mass of 17 MeV/c^2: nuclear transitions and light meson decays
• QCD $\theta$-vacuum energy and axion properties
• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Study of $\eta \to {\pi }^{+}{\pi }^{-}{l}^{+}{l}^{-}$