An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons

Abstract

We examine the mechanisms producing departures from ideal mixing for vector mesons within the context of the Hidden Local Symmetry (HLS) model. We show that kaon loop transitions between the ideal combinations of the $\omega$ and $\varphi$ mesons necessitate a field transformation in order to get the mass eigenstates. It is shown that this transformation is close to a rotation for processes involving, like meson decays, on--shell $\omega$ and $\varphi$ mesons. The HLS model predicts a momentum dependent, slowly varying mixing angle between the ideal states. We examine numerically the consequences of this for radiative and leptonic decays of light mesons. The mean $\omega -\varphi$ mixing angle is found smaller than its ideal value; this is exhibited separately in radiative and in leptonic decays. Effects of nonet symmetry breaking in the vector sector are compared to those produced by the field rotation implied by the HLS model.

34 pages, references added, to appear in EPJC

References in corpus (4)

• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Measuring the finite width and unitarity corrections to the phi-omega mixing amplitude
• Radiative ${\eta }^{\prime }$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula
• Riddle of the scalars: where is the sigma?

Cited by in corpus (19)

• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• B decays dominated by omega-phi mixing
• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• Study of the $\rho$ and $\omega$ meson decays into pseudoscalar meson and $e^{+}{e}^{-}$ pair with the CMD-2 detector
• The phi NN coupling from chiral loops
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• Understanding the branching ratios of χ_{c1}\toϕϕ, ωω, ωϕobserved at BES-III
• Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory
• Chiral behavior of vector meson self energies
• Revisiting B->phi pi Decays in the Standard Model
• Observation of OZI suppressed decays ${\chi }_{cJ}\to \omega \varphi$
• Pseudoscalar Meson Mixing in Effective Field Theory
• A study of $\rho -\omega$ mixing in resonance chiral theory
• The Pion Form Factor Within the Hidden Local Symmetry Model
• The Ideal Mixing Departure in Vector Meson Physics
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude
• Semi-dileptonic decays of the light vector mesons in Light Front Quark Model