Radiative Decays, Nonet Symmetry and SU(3) Breaking

Abstract

We re-examine the problem of simultaneously describing in a consistent way all radiative and leptonic decays of light mesons (V -> P gamma, P -> V gamma, P -> gamma gamma, V -> e^+ e^-). For this purpose, we rely on the Hidden Local Symmetry model in both its anomalous and non--anomalous sectors. We show that the SU(3) symmetry breaking scheme proposed by Bando, Kugo and Yamawaki, supplemented with nonet symmetry breaking in the pseudoscalar sector, allows one to reach a nice agreement with all data, except for the K^{*+/-} radiative decay. An extension of this breaking pattern allows one to account for this particular decay mode too. Considered together, the whole set of radiative decays provides a pseudoscalar mixing angle theta_P ~ -11^o and a value for theta_V which is ~ 3^o from that of ideal mixing. We also show that it is impossible, in a practical sense, to disentangle the effects of nonet symmetry breaking and those of glue inside the eta', using only light meson decays.

36 pages. Published version

References in corpus (10)

• On the 1/N expansion in chiral perturbation theory
• Proton-Antiproton Annihilation and Meson Spectroscopy with the Crystal Barrel
• The $\eta -{\eta }^{\prime }$ Mixing Angle Revisited
• Two-Body B Meson Decays to $\eta$ and ${\eta }^{{}^{\prime }}$ -- Observation of $B\to \eta${'}K$
• Intrinsic charm of light mesons and CP violation in heavy quark decay
• SU(3) breaking and Hidden Local Symmetry
• Interpolation Formulas for the Eta-Gamma and Eta'-Gamma Transition Form Factors
• Vector meson dominance and the rho meson
• Extracting Br(omega->pi^+ pi^-) from the Time-like Pion Form-factor
• Experimental study of the decay PHI(1020)--->ETA+GAMMA in multi-photon final state

Cited by in corpus (58)

• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Two-body hadronic charmed meson decays
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• A new Parameterization for the Pion Vector Form Factor
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Exclusive Radiative Higgs Decays as Probes of Light-Quark Yukawa Couplings
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Study of the Processes e+ e- --> eta gamma, e+ e- --> pi0 gamma --> 3 gamma in the c.m. Energy Range 600--1380 MeV at CMD-2
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• On the ${\eta }^{\prime }$ Gluonic Admixture
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• Dilepton excess from local parity breaking in baryon matter
• Mixing of Pseudoscalar Mesons
• Measurement of Gamma(phi -> eta' gamma)/Gamma(phi -> eta gamma) and the pseudoscalar mixing angle
• Radiative VPgamma transitions and eta-eta' mixing
• Electromagnetic transitions in an effective chiral Lagrangian with the eta-prime and light vector mesons
• Study of the Process e+ e- ---> eta gamma in c.m. Energy Range 600-1380 MeV at CMD-2
• Determining the $\eta -{\eta }^{\prime }$ mixing by the newly measured $BR(D(D_s)\to \eta ({\eta }^{\prime })+\bar{l}+{\nu }_l$
• B decays dominated by omega-phi mixing
• 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
• First observation of B0->J/ψK+K- and search for B0->J/ψϕ decays
• $\omega$-$\varphi$ mixing and weak annihilation in $D_s$ decays
• An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
• Exclusive Weak Radiative Higgs Decays in the Standard Model and Beyond
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• Revisiting the U_A(1) problems
• Study of the radiative decay $\varphi \to \eta \gamma$ with CMD-2 detector
• Understanding the branching ratios of χ_{c1}\toϕϕ, ωω, ωϕobserved at BES-III
• Analysis of dilepton angular distributions in a parity breaking medium
• Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory
• Radiative transition processes of light vector resonances in a chiral framework
• Revisiting B->phi pi Decays in the Standard Model
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• Measurement of the charge asymmetry in $B^{\pm }\to \varphi K^{\pm }$ and search for $B^{\pm }\to \varphi {\pi }^{\pm }$ decays
• New measurement of the rare decay $\varphi \to {\eta }^{\prime }\gamma$ with CMD-2
• Observation of the phi to eta' gamma decay with four charged particles and photons in the final state
• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• $\eta -{\eta }^{\prime }$ mixing
• $\omega -\rho$ Mixing and the $\omega \to \pi \pi \gamma$ Decay
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• Observation of OZI suppressed decays ${\chi }_{cJ}\to \omega \varphi$
• Pseudoscalar Meson Mixing in Effective Field Theory
• The Pion Form Factor Within the Hidden Local Symmetry Model
• Study of the $\rho$, $\omega$, $\varphi \to \eta \gamma \to 7\gamma$ Decays with an SND Detector on a VEPP-2M Collider
• Semileptonic Decay of $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ Via Neutral Meson Mixing
• Determination of the strangeness contents of light-flavour isoscalars from its production rates in hadronic Z decays measured at LEP
• Can VMD improve the estimate of the muon g-2 ?
• Understanding B -->J/Ψϕin the Standard Model
• Radiative vertex $VP\gamma$ and $\eta -{\eta }^{\prime }$ mixing in light-cone sum rules
• Comment on "Radiative decays, nonet symmetry and SU(3) breaking" by M. Benayoun et al
• Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude
• Scrutinizing new physics of $B_d\to \varphi ({\eta }^{{(}^{\prime })},\pi ,\omega )$ decay modes