Determination of the $\eta$-${\eta }^{\prime }$ mixing angle

Abstract

We extract $\eta$-${\eta }^{\prime }$ mixing angle and the ratios of decay constants of light pseudoscalar mesons ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ using recently available BaBar measurements on $\eta$-photon and ${\eta }^{\prime }$-photon transition form factors and more accurate experimental data for the masses and two-photon decay widths of the light pseduoscalar mesons.

5 pages, revtex, no figures, accepted for publication as a Brief Report in Physical Review D

References in corpus (23)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Measurement of the gamma gamma* --> pi0 transition form factor
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Abelian anomaly and neutral pion production
• Meson Transition Form Factors in Light-Front Holographic QCD
• Effective Hadron Dynamics: From Meson Masses to the Proton Spin Puzzle
• Measurement of the gamma gamma* --> eta and gamma gamma* --> eta' transition form factors
• Evolved QCD predictions for the meson-photon transition form factors
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Composition of the Pseudoscalar Eta and Eta' Mesons
• The form factors for the photon to pseudoscalar meson transitions - an update
• Pion-photon transition---the new QCD frontier
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems
• J/psi->VP decays and the quark and gluon content of the eta and eta'
• Pseudoscalar glueball and $\eta -{\eta }^{\prime }$ mixing
• Two analytical constraints on the $\eta$-${\eta }^{\prime }$ mixing
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• Electromagnetic Transition Form Factor of Pseudoscalar Meson and $\eta -{\eta }^{\prime }$ Mixing
• New Measurement of Exclusive Decays of the chi_c0 and chi_c2 to Two-Meson Final States
• eta - eta' - glueball mixing

Cited by in corpus (13)

• SU(3) Sum Rules for Charm Decay
• Measurement of the ${\gamma }^{\star }{\gamma }^{\star }\to {\eta }^{\prime }$ transition form factor
• Proton-${\eta }^{\prime }$ interactions at threshold
• Eta Decay and Muonic Puzzles
• SU(3) in D decays: From $30\%$ symmetry breaking to $10^{-4}$ precision
• Non-leptonic decays of Charmed mesons into two Pseudoscalars
• Revisiting the radiative decays $J/\psi \to \gamma {\eta }^{(\prime )}$ in perturbative QCD
• Low energy meson spectrum from a QCD approach based on many-body methods
• Study of pesudoscalar transition form factors within light front quark model
• Radiative decays of $h_c$ to the light mesons ${\eta }^{(\prime )}$: A perturbative QCD calculation
• Observation of $D^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$ and First Study of $D^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell }$ Decay Dynamics
• On some implications of the BaBar data on the ${\gamma }^{\ast }{\eta }^{\prime }$ transition form factor
• Semi-dileptonic decays of the light vector mesons in Light Front Quark Model