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We study the implications of several recent high-precision measurements ofthe pion form factor in the region of the rho-omega interference "shoulder" for(i) the extraction of the rho-omega mixing matrix element,Pi_{\rho\omega}(m_rho^2), and (ii) the evaluation of the isospin-breaking (IB)correction needed to incorporate hadronic tau decay data into the determinationof the Standard Model expectation for the leading order hadronic contribution,[a_mu]_{had}^{LO}, to the anomalous magnetic moment of the muon, focussing, inthe latter case, on the model-dependence of the rho-omega mixing component ofthe IB correction. We consider a range of different models for the broad rhocontribution to the e^+e^- --> \pi\pi amplitude, applying these models to eachexperimental data set, and find that the model dependence of the rho-omegamixing correction is significantly larger than the uncertainty induced byexperimental errors for any individual model. We also find that, for each suchmodel, the recent data allows one to separate rho-omega mixing and direct omega--> \pi\pi coupling contributions to the amplitude, and hence to obtain areasonably precise extraction of Pi_{\rho\omega}(m_rho^2), uncontaminated bydirect omega --> \pi\pi coupling effects, for use in meson exchange modelcalculations of charge symmetry breaking in NN scattering.

Models of Isospin Breaking in the Pion Form Factor: Consequences for the Determination of Pi_{\rho\omega}(m_rho^2) and (g-2)_mu/2