Radiative transition processes of light vector resonances in a chiral framework

Abstract

Within the framework of chiral effective field theory, we study various electromagnetic processes with light vector resonances: $K^{\ast }(892)\to K\gamma$, $e^{+}{e}^{-}\to K^{\ast }(892)K$ and the $\omega \pi {\gamma }^{\ast }$ form factors. With two multiplets of vector resonances being introduced, we fit the decay widths of $K^{\ast 0}\to K^0\gamma$, $K^{\ast +}\to K^{+}\gamma$, and the pertinent measurements from the $e^{+}{e}^{-}\to K^{\ast \pm }(892)K^{\mp }$ cross sections, such as moduli and relative phases between the isoscalar and isovector components from BABAR collaboration, together with the $\omega \pi$ form factors from NA60, SND and CLEO collaborations. The values of resonance couplings, masses and widths of the excited vector states ${\rho }^{\prime }$ and ${\varphi }^{\prime }$ are then determined. The ${\omega }^{\prime }$-${\varphi }^{\prime }$ mixing angle is discussed and turns out to be quite different from the ideal mixing case. Three sources of $SU(3)$ symmetry breaking effects in the $\Gamma (K^{\ast }\to K\gamma )$ decays are identified and analyzed in detail.

27 pages, 5 figures. To match the published version. Title is slightly changed. The mass splitting operators for the vector resonances are introduced. Revised fits and discussions are presented with these new terms

References in corpus (14)

• Towards a consistent estimate of the chiral low-energy constants
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Form Factors in the radiative pion decay
• Lepton flavour violating semileptonic tau decays in constrained MSSM-seesaw scenarios
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Spectral distribution for the decay tau -> nu_tau K pi
• One meson radiative tau decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Consistent high-energy constraints in the anomalous QCD sector
• Study of tau- --> V P- nu(tau) in the framework of resonance chiral theory
• Chiral dynamics predictions for eta' -> eta pi pi
• Pi pi scattering lengths at O(p^6) revisited
• ${\tau }^{-}\to K^{-}{\eta }^{(\prime )}{\nu }_{\tau }$ decays in Chiral Perturbation Theory with Resonances
• Resonance effects in pion and kaon decay constants

Cited by in corpus (12)

• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Two-Hadron Saturation for the Pseudoscalar-Vector-Vector Correlator and Phenomenological Applications
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• One-loop determination of $\tau \to \pi (K){\nu }_{\tau }[\gamma ]$ branching ratios and new physics tests
• Triple-product asymmetry in the radiative two-pion tau decay
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• A study of $\rho -\omega$ mixing in resonance chiral theory
• The processes $e^{+}{e}^{-}\to K^{\pm }(K^{\ast \mp }(892),K^{\ast \mp }(1410))$ and $e^{+}{e}^{-}\to (\eta ,{\eta }^{{}^{\prime }}(958))(\varphi (1020),\varphi (1680))$ in the extended Nambu-Jona-Lasinio model
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$