Consequences of the BaBar e^+e^- --> pi^+pi^- Measurement for the Determination of Model-Dependent rho-omega Mixing Effects in Pi_{ρω}(m_ρ^2) and (g-2)_mu

Abstract

We update our analysis of rho-omega mixing effects in the pion form factor to incorporate the recently published BaBar e^+e^- --> pi^+π^- cross-sections. The implications for tau-decay-based Standard Model estimates of the leading order hadronic contribution [a_μ]_{had}^{LO}, to the anomalous magnetic moment of the muon, and for the extraction of the off-diagonal vector meson self-energy matrix element, Pi_{ρω}(m_ρ^2), are discussed.

arXiv comment7 pages, 2 figures

References in corpus (30)

• The Muon g-2
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• Precise measurement of the e+ e- to pi+ pi- (gamma) cross section with the Initial State Radiation method at BABAR
• Improved predictions for g-2 of the muon and α_{\rm QED}(M_Z^2)
• The Physics of Hadronic Tau Decays
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )$ and extraction of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-})$ below 1 {\rm GeV} with the KLOE detector
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• High-Statistics Study of the tau^- -> pi^- pi^0 nu_tau Decay
• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma (\gamma ))$ and the dipion contribution to the muon anomaly with the KLOE detector
• Effective Field Theory Description of the Pion Form Factor
• Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e+e- -> pi+pi- cross section data from BABAR
• The Discrepancy Between tau and e+e- Spectral Functions Revisited and the Consequences for the Muon Magnetic Anomaly
• Hadronic Structure in the Decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$
• Isospin Violation and the Magnetic Moment of the Muon
• The hadronic contribution to (g-2) of the muon
• Radiative tau decay and the magnetic moment of the muon
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ in the energy region 400<\sqrt[]{s}<1000 MeV
• Isospin violating effects in e+e- vs. tau measurements of the pion form factor |F_pi|^2 (s)
• Long-distance radiative corrections to the di-pion tau lepton decay
• Analysis of rho-omega interference in the pion form-factor
• Electron, muon and tau magnetic moments: a theoretical update
• New results in rho^0 meson physics
• Models of Isospin Breaking in the Pion Form Factor: Consequences for the Determination of Pi_{ρω}(m_rho^2) and (g-2)_mu/2
• 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
• Model-dependent radiative corrections to tau- -> pi- pi0 nu revisited

Cited by in corpus (19)

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• rho^0-gamma mixing in the neutral channel pion form factor |F_pi|^2 and its role in comparing e^+ e^- with tau spectral functions
• Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
• The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD
• Tests of hadronic vacuum polarization fits for the muon anomalous magnetic moment
• Tests of hadronic vacuum polarization fits for the muon anomalous magnetic moment
• Higher-order hadronic-vacuum-polarization contribution to the muon g-2 from lattice QCD
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• Effect of resonance for $CP$ asymmetry of the decay process ${\bar{B}}_s\to P{\pi }^{+}{\pi }^{-}$ in perturbative QCD
• Direct $CP$ violation of three bodies decay process from the resonance effect
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Second-class current effects from isospin breaking in tau-->omega pi nu_tau
• Baryonic content of the pion
• Direct CP violation in multi-body $B$ decays with the $a_0^0(980)$--$f_0(980)$ mixing
• Sizing the double pole resonant enhancement in $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ cross section and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ decay
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• ${\rho }^0-\omega$ mixing in the presence of a weak magnetic field
• $\rho -\omega$ mixing contribution to the measured $CP$ asymmetry of $B^{\pm }\to \omega K^{\pm }$