Mixing and decay constants of pseudoscalar mesons: Octet-singlet vs. quark flavor basis

Abstract

Although eta-eta' mixing is qualitatively well understood as a consequence of the U(1)_A anomaly in QCD together with a broken SU(3) flavor symmetry, until recently the values of decay and mixing parameters of the eta and eta' were only approximately known, e.g. values for the octet-singlet mixing angle between -20 degrees and -10 degrees could be found in the literature. New experimental data, especially for the reactions gamma gamma* -> eta, eta' and B -> eta' K, together with new theoretical results from higher order corrections in chiral perturbation theory stimulated a phenomenological re-analysis of this subject, which led to a coherent qualitative and quantitative picture of eta-eta' mixing and even of eta-eta'-eta_c mixing.

4 pages Latex, uses espcrc2.sty, contribution to "QCD 98", Montpellier 2-8 July 1998

References in corpus (3)

• Contribution of $b\to sgg$ through the QCD anomaly in exclusive decays $B^{\pm }\to ({\eta }^{\prime },\eta )(K^{\pm },K^{\ast \pm })$ and $B^0\to ({\eta }^{\prime },\eta )(K^0,K^{\ast 0})$
• Two-Body B Meson Decays to $\eta$ and ${\eta }^{{}^{\prime }}$ -- Observation of $B\to \eta${'}K$
• Charmless B decays to eta' and eta

Cited by in corpus (13)

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• Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors
• Light-Cone Sum Rules for the $D_{(s)}\to {\eta }^{(\prime )}l{\nu }_l$ Form Factor
• Singlet-octet-glueball mixing of scalar mesons
• Scalar mesons and the fragmented glueball
• Determination of the $\eta$ and ${\eta }^{\prime }$ Mixing Angle from the Pseudoscalar Transition Form Factors
• Determination of $f_0-\sigma$ mixing angle through $B_s^0\to J/\Psi f_0(980)(\sigma )$ decays
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• Radiative ${\eta }^{\prime }$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• The study of $B\to J/\Psi {\eta }^{(\prime )}$ decays and determination of $\eta -{\eta }^{\prime }$ mixing angle
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Pseudoscalar Meson Mixing in Effective Field Theory