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.

32 pages, 9 figures, 3 tables

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• Towards a consistent estimate of the chiral low-energy constants
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• Form Factors in the radiative pion decay
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• One meson radiative tau decays
• Study of tau- --> V P- nu(tau) in the framework of resonance chiral theory
• Chiral dynamics predictions for eta' -> eta pi pi
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Pi pi scattering lengths at O(p^6) revisited
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• $\eta -{\eta }^{\prime }$ Mixing in the Flavor Basis and Large N
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Cited by in corpus (26)

• An Update of the HLS Estimate of the Muon g-2
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Consistent high-energy constraints in the anomalous QCD sector
• Resonance Chiral Lagrangian analysis of ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Scalar glueballs: Constraints from the decays into $\eta$ or ${\eta }^{\prime }$
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Radiative transition processes of light vector resonances in a chiral framework
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Revisit of tensor-meson nonet in resonance chiral theory
• Triple-product asymmetry in the radiative two-pion tau decay
• $\eta -{\eta }^{\prime }$ mixing
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Lepton-pair production in di-pion $\tau$ lepton decays
• A study of $\rho -\omega$ mixing in resonance chiral theory
• Analysis of Dalitz decays with intrinsic parity violating interactions in resonance chiral perturbation theory
• Nature of $X(2370)$
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• Hadronic and radiative decays of the tau lepton