Electromagnetic transitions in an effective chiral Lagrangian with the eta-prime and light vector mesons

Abstract

We consider the chiral Lagrangian with a nonet of Goldstone bosons and a nonet of light vector mesons. The mixing between the pseudoscalar mesons eta and eta-prime is taken into account. A novel counting scheme is suggested that is based on hadrogenesis, which conjectures a mass gap in the meson spectrum of QCD in the limit of a large number of colors. Such a mass gap would justify to consider the vector mesons and the eta-prime meson as light degrees of freedom. The complete leading order Lagrangian is constructed and discussed. As a first application it is tested against electromagnetic transitions of light vector mesons to pseudoscalar mesons. Our parameters are determined by the experimental data on photon decays of the omega, phi and eta-prime meson. In terms of such parameters we predict the corresponding decays into virtual photons with either dielectrons or dimuons in the final state.

arXiv comment17 pages, extended discussion on mixing

References in corpus (37)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Large N_c in chiral perturbation theory
• The Mesonic Chiral Lagrangian of Order $p^6$
• On meson resonances and chiral symmetry
• Towards a consistent estimate of the chiral low-energy constants
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• Study of the eta-eta' system in the two mixing angle scheme
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Odd-intrinsic-parity processes within the Resonance Effective Theory of QCD
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Chiral Perturbation Theory for Vector Mesons
• Effective chiral Lagrangians for spin-1 mesons
• Infrared regularization for spin-1 fields
• The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited
• Electromagnetic transition form factors of light vector mesons
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• Baryon resonances from chiral coupled-channel dynamics
• On the radiative decays of light vector and axial-vector mesons
• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle
• Eta-eta' masses and mixing: a large N_c reappraisal
• VMD, the WZW Lagrangian and ChPT: The Third Mixing Angle
• Covariant meson-baryon scattering with chiral and large N_c constraints
• On causality, unitarity and perturbative expansions
• Eta-eta' mixing in U(3) chiral perturbation theory
• Hadronic three-body decays of light vector mesons
• Path integral quantization for massive vector bosons
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• Axial Anomaly and Transition Form Factors
• A theoretical determination of the eta-eta' mixing
• Chiral symmetry, strangeness and resonances

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