Study of η-η' mixing from radiative decay processes

Abstract

We perform a thorough analysis of the VPγ(γ*) and Pγγ(γ*) decays in the resonance chiral theory, where V stand for the vector resonances ρ, K*, ω, ϕ, P stand for π, K, η, η' and γ* subsequently decays into lepton pairs. Upon imposing QCD short-distance constraints on resonance couplings, the ω-> πγ(γ*), ρ-> πγ(γ*), K^{*0} -> K^0γprocesses only depend on one free parameter and π-> γγ(γ*) can be completely predicted. The four mixing parameters of the η-η' system, i.e. two mixing angles \theta8, \theta0 and two decay constants F8, F0, are determined from radiative decays involving ηor η'. The higher order low energy constants of the pseudo-Goldstone Lagrangian in the chiral anomaly sector are predicted by integrating out heavy resonances. We also predict the decay widths of ρ-> πe^+ e^-, η' -> γe^+ e^- and ϕ-> ημ^+ μ^-, which can be compared with the future measurement in these channels.