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

TL;DR

This paper develops a chiral Lagrangian framework including eta-prime and light vector mesons, introducing a novel counting scheme based on hadrogenesis, and tests it against electromagnetic decay data to predict meson decay processes.

Contribution

It introduces a new counting scheme for chiral Lagrangians based on hadrogenesis, incorporating eta-prime and vector mesons as light degrees of freedom.

Findings

Parameters fitted to experimental photon decay data

Predictions made for decays into virtual photons with dielectrons or dimuons

The framework successfully describes electromagnetic transitions in light 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.