Improved estimate for the muon g−2 using VMD constraints

The muon anomalous magnetic moment aμ and the hadronic vacuum polarization (HVP) are examined using data analyzed within the framework of a suitably broken HLS model. The analysis relies on all available scan data samples and leaves aside the existing ISR data. The framework provided by our broken HLS model allows for improved estimates of the contributions to aμ from the e+e− annihilation cross sections into up to slightly above the ϕ meson mass. Within this framework, the information provided by the τ±→π±π0ν decay and by the radiative decays (VPγ and Pγγ) of light flavor mesons play as strong constraints on the model parameters. The discrepancy between the theoretical estimate of the muon anomalous magnetic moment g−2 and its direct BNL measurement is shown to reach conservatively 4.1σ while standard methods used under the same conditions yield 3.5σ.