Article,

Study of \eta-\eta' mixing from radiative decay processes

, , and .
(Jan 10, 2012)

Abstract

We perform a thorough analysis of the VP\gamma(\gamma*) and P\gamma\gamma(\gamma*) decays in the resonance chiral theory, where V stand for the vector resonances \rho, K*, ømega, \phi, P stand for \pi, K, \eta, \eta' and \gamma* subsequently decays into lepton pairs. Upon imposing QCD short-distance constraints on resonance couplings, the -> \pi \gamma(\gamma*), -> \gamma(\gamma*), K^*0 -> K^0processes only depend on one free parameter and -> \gamma(\gamma*) can be completely predicted. The four mixing parameters of the \eta-\eta' system, i.e. two mixing angles þeta8, þeta0 and two decay constants F8, F0, are determined from radiative decays involving or \eta'. 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 -> e^+ e^-, \eta' -> e^+ e^- and -> \eta \mu^+ \mu^-, which can be compared with the future measurement in these channels.

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