Mixing of Pseudoscalar Mesons

Abstract

Eta-eta' mixing is discussed in the quark-flavor basis with the hypothesis that the decay constants follow the pattern of particle state mixing. On exploiting the divergences of the axial vector currents - which embody the axial vector anomaly - all mixing parameters are fixed to first order of flavor symmetry breaking. An alternative set of parameters is obtained from a phenomenological analysis. We also discuss mixing in the octet-singlet basis and show how the relevant mixing parameters are related to those in the quark-flavor basis. The dependence of the mixing parameters on the strength of the anomaly and the amount of flavor symmetry breaking is investigated. Finally, we present a few applications of the quark-flavor mixing scheme, such as radiative decays of vector mesons, the photon-pseudoscalar meson transition form factors, the coupling constants of eta and eta' to nucleons, and the isospin-singlet admixtures to the pi^0 meson.

21 pages, 6 figures, Proc. WORKSHOP ON ETA PHYSICS, Uppsala, October 22-27, 2001

References in corpus (7)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Large N_c in chiral perturbation theory
• Optimal Renormalization Scale and Scheme for Exclusive Processes
• ${\eta }^{\prime }$ production in proton-proton scattering close to threshold}
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle

Cited by in corpus (43)

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• Charmless two-body B decays: A global analysis with QCD factorization
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• Study of the $e^{+}{e}^{-}\to \eta \gamma$ process with SND detector at the VEPP-2M $e^{+}{e}^{-}$ collider
• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• $|V_{ub}|$ and $B\to {\eta }^{{(}^{\prime })}$ Form Factors in Covariant Light Front Approach
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Central exclusive production as a probe of the gluonic component of the eta' and eta mesons
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• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Lepton FCNC in Type III Seesaw Model
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• More about sgoldstino interpretation of HyperCP events
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ 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
• SU(3)${}_F$ Analysis for Beauty Baryon Decays
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• Revisiting the OZI-forbidden Radiative Decays of Orthoquarkonia
• Interference between doubly-Cabibbo-suppressed and Cabibbo-favored amplitudes in $D^0\to K_S({\pi }^0,\eta ,{\eta }^{\prime })$ decays
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• $\eta -{\eta }^{\prime }$ mixing
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• Spontaneous breaking of chiral symmetry, and eventually of parity, in a $\sigma$-model with two Mexican hats
• Measurement of the eta'-meson mass using J/psi--> gamma eta'
• The Pion Form Factor Within the Hidden Local Symmetry Model
• Valence structures of light and strange mesons from the basis light-front quantization framework
• Strange pentaquark molecules in QCD sum rules