A study of $\rho -\omega$ mixing in resonance chiral theory

Abstract

The strong and electromagnetic corrections to $\rho -\omega$ mixing are calculated using a SU(2) version of resonance chiral theory up to next-to-leading orders in $1/N_C$ expansion, respectively. Up to our accuracy, the effect of the momentum dependence of $\rho -\omega$ mixing is incorporated due to the inclusion of loop contributions. We analyze the impact of $\rho -\omega$ mixing on the pion vector form factor by performing numerical fit to the data extracted from $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and $\tau \to {\nu }_{\tau }2\pi$, while the decay width of $\omega \to {\pi }^{+}{\pi }^{-}$ is taken into account as a constraint. It is found that the momentum dependence is significant in a good description of the experimental data. In addition, based on the fitted values of the involved parameters, we analyze the decay width of $\omega \to {\pi }^{+}{\pi }^{-}$, which turns out to be highly dominated by the $\rho -\omega$ mixing effect.

arXiv comment10 pages, 4 figures. References added

References in corpus (38)

• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• Measurement of the ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to {\pi }^{+}{\pi }^{-}$ Cross Section between 600 and 900 MeV Using Initial State Radiation
• Confronting Spectral Functions from e+e- Annihilation and tau Decays: Consequences for the Muon Magnetic Moment
• Rho-omega mixing, vector meson dominance and the pion form-factor
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Precision measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )/\sigma (e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma )$ and determination of the ${\pi }^{+}{\pi }^{-}$ contribution to the muon anomaly with the KLOE detector
• Hadronic Structure in the Decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$
• Radiative corrections to K_{l3} decays
• Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range
• Odd-intrinsic-parity processes within the Resonance Effective Theory of QCD
• Isospin Violation and the Magnetic Moment of the Muon
• Resonances from meson-meson scattering in U(3) CHPT
• Form Factors in the radiative pion decay
• The hadronic off-shell width of meson resonances
• Pion and Kaon Vector Form Factors
• Spectral distribution for the decay tau -> nu_tau K pi
• Isospin violating effects in e+e- vs. tau measurements of the pion form factor |F_pi|^2 (s)
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Long-distance radiative corrections to the di-pion tau lepton decay
• Rho-Omega Mixing and the Pion Form Factor in the Time-like Region
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Omega-phi mixing in chiral perturbation theory
• Consistent high-energy constraints in the anomalous QCD sector
• Rho - omega mixing in chiral perturbation theory
• The branching ratio $\omega \to {\pi }^{+}{\pi }^{-}$ revisited
• Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting
• Study of η-η' mixing from radiative decay processes
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Isospin Symmetry Breaking within the HLS Model: A Full ($\rho ,\omega ,\varphi$) Mixing Scheme
• An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
• Isospin Breaking in the Relation Between the tau-->nu_tau pi pi and e^+e^- -->pi^+ pi^- Versions of |F_π(s)|^2$ and Implications for (g-2)_mu
• Radiative transition processes of light vector resonances in a chiral framework
• Vector form factor of the pion in chiral effective field theory
• ${\rho }^0-\omega$ mixing in U(3)}${}_L\times$ U(3)${}_R$ chiral theory of mesons
• Isospin Breaking and $\omega$->$\pi \pi$ Decay

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