Study of the eta-eta' system in the two mixing angle scheme

Abstract

An analysis of various decay processes is performed using the two mixing angle description of the $\eta$-${\eta }^{\prime }$ system, incorporating the link to the gluonic sector through anomalies. The agreement is excellent. For comparison with previous works, our results are expressed both in the ``octet-singlet'' and in the ``quark-flavour'' basis. It turns out that at the present experimental accuracy, the two angles are significantly different in the former, but not in the latter basis. The implications of our analysis for the Large $N_c$ $\chi$PT predictions are also discussed.

15 pages, JHEP style. Comments on the VMD description of the VPgamma decays, the error correlations,the scale dependence of f0, and the implications of the analysis for Large Nc ChpT are included

References in corpus (2)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Eta-eta' masses and mixing: a large N_c reappraisal

Cited by in corpus (105)

• A Theory of Scalar Mesons
• Search for the ${\Lambda }_b\to \Lambda {\eta }^{\prime }$ and ${\Lambda }_b\to \Lambda \eta$ decays with the LHCb detector
• Charged Lepton Flavour Violation and (g-2)_mu in the Littlest Higgs Model with T-Parity: a clear Distinction from Supersymmetry
• On the gluon content of the eta and eta' mesons
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Measurement of the eta and etaprime transition form factors at q^2=112 GeV^2
• Composition of the Pseudoscalar Eta and Eta' Mesons
• B->eta(') Form Factors in QCD
• Etaprime and Eta Mesons with Connection to Anomalous Glue
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• ηand η' transition form factors from rational approximants
• Lepton Flavour Violation in the Presence of a Fourth Generation of Quarks and Leptons
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• The eta transition form factor from space- and time-like experimental data
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• Radiative Kaon Decays and the Penguin Contribution to the Delta I = 1/2 Rule
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• A new determination of the eta transition form factor in the Dalitz decay eta -> e^+ e^- gamma with the Crystal Ball/TAPS detectors at the Mainz Microtron
• Predictions on the second-class current decays ${\tau }^{-}\to {\pi }^{-}{\eta }^{(\prime )}{\nu }_{\tau }$
• Electromagnetic transitions in an effective chiral Lagrangian with the eta-prime and light vector mesons
• Resonance Chiral Lagrangian analysis of ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays
• Flavor-singlet meson decay constants from $N_f=2+1+1$ twisted mass lattice QCD
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• FCNC Processes in the Littlest Higgs Model with T-Parity: an Update
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Signals of the QCD axion with mass of 17 MeV/c^2: nuclear transitions and light meson decays
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• Study of η-η' mixing from radiative decay processes
• Study of the $e^{+}{e}^{-}\to \eta \gamma$ process with SND detector at the VEPP-2M $e^{+}{e}^{-}$ collider
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• The eta (eta') gamma transition form factor and the gluon-gluon distribution amplitude
• The two-body B_c {\to} D^{(*)}_{(s)}P, D^{(*)}_{(s)}V decays in the Perturbative QCD Approach
• Axial anomaly and mixing: from real to highly virtual photons
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Light Dark Sectors through the Fermion Portal
• Central exclusive production as a probe of the gluonic component of the eta' and eta mesons
• Nonleptonic two-body charmless B decays involving a tensor meson in the Perturbative QCD Approach
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Study of $\eta -{\eta }^{\prime }$ mixing from measurement of $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$~decay rates
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Towards a Precision Determination of alpha in B \to pi pi Decays
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Suppression of flavor symmetry breaking in B decay sum rules
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• Prospects for e+e- physics at Frascati between the phi and the psi
• Scalar glueballs: Constraints from the decays into $\eta$ or ${\eta }^{\prime }$
• On the branching ratio of the "second class" tau --> eta' pi nu_tau decay
• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Light-front holographic radiative transition form factors for light mesons
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• Radiative corrections to the ${\eta }^{(\prime )}$ Dalitz decays
• Exclusive Radiative Z-Boson Decays to Mesons with Flavor-Singlet Components
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• Revisiting the radiative decays $J/\psi \to \gamma {\eta }^{(\prime )}$ in perturbative QCD
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules
• eta and eta' Physics at MAMI
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• A theoretical determination of the eta-eta' mixing
• Axial and pseudoscalar current correlators and their couplings to eta and etaprime mesons
• Revisit of tensor-meson nonet in resonance chiral theory
• The Isoscalar Mesons and Exotic States in Light Front Holographic QCD
• Quark-hadron duality, axial anomaly and mixing
• Dispersive Approach to Abelian Axial Anomaly, Mixing of Pseudoscalar Mesons and Symmetries
• $\eta -{\eta }^{\prime }$ Mixing Angle from Vector Meson Radiative Decays
• The photon to pseudoscalar meson transition form factors
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• Radiative decays of $h_c$ to the light mesons ${\eta }^{(\prime )}$: A perturbative QCD calculation
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• $\eta$ and ${\eta }^{\prime }$ masses and decay constants
• Dispersive approach to non-Abelian axial anomaly
• Axial anomaly and the triality symmetry of leptons and hadrons
• New Physics in b --> s bar(s) s Decay
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Correlations of $C$ and $CP$ violation in $\eta \to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$
• $1/N_c$ Nambu -- Jona-Lasinio model: ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• Form factors for semileptonic $B_c$ decays into ${\eta }^{{(}^{\prime })}$ and Glueball
• $B_s^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ decays in the pQCD approach
• $\eta$ and ${\eta }^{\prime }$ transition form factors from Padé approximants
• On modeling the scalar meson dynamics with Resonance Chiral Theory
• Study of the $\eta$N scattering amplitude through the associated photoproduction of $\varphi$- and $\eta$-mesons in the region of the N*(1535) resonance
• Mixing of $\eta -{\eta }^{\prime }$ in charge-exchange reactions and decays of mesons with heavy quarks
• A preliminary analysis of eta' -> eta pi pi in chiral theories
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Radiative corrections in Dalitz decays of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Hadronic and radiative decays of the tau lepton
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Radiative decays of pseudoscalar (P) and vector (V) mesons and the process e^+e^- \to η' ρ
• Chiral anomaly and strange-nonstrange mixing
• Valence structures of light and strange mesons from the basis light-front quantization framework
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• Semi-dileptonic decays of the light vector mesons in Light Front Quark Model
• High-energy ${\eta }^{(\prime )}\pi$ photoproduction and the nature of exotic waves
• A rational approach to $\eta$ and ${\eta }^{\prime }$ transition form factors
• Phenomenological test of the large N_c ChPT predictions for the pseudoscalar mixing parameters