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

TL;DR

This paper updates the analysis of rho-omega mixing effects in the pion form factor using recent BaBar data, impacting the Standard Model estimate of muon's anomalous magnetic moment and the rho-omega mixing parameters.

Contribution

It provides a revised analysis of rho-omega mixing effects incorporating new experimental data, refining the understanding of hadronic contributions to (g-2)_mu.

Findings

Updated rho-omega mixing parameters based on BaBar data

Implications for the Standard Model estimate of (g-2)_mu

Refined extraction of Pi_{rhoomega}(m_ ho^2)

Abstract

We update our analysis of rho-omega mixing effects in the pion form factor to incorporate the recently published BaBar e^+e^- --> pi^+\pi^- cross-sections. The implications for tau-decay-based Standard Model estimates of the leading order hadronic contribution [a_\mu]_{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_{\rho\omega}(m_\rho^2), are discussed.