Regular Article- Experimental Physics An update of the HLS estimate of the muon g − 2

Abstract A global fit of parameters allows us to pin down the Hidden Local Symmetry (HLS) effective Lagrangian, which we apply for the prediction of the leading hadronic vacuum polarization contribution to the muon g − 2. The latter is dominated by the annihilation channel e+e − → π+π−, for which data are available by scan (CMD-2 & SND) and ISR (KLOE-2008, KLOE-2010 & BaBar) ex-periments. It is well known that the different data sets are not in satisfactory agreement. In fact it is possible to fix the model parameters without using the π+π − data, by us-ing instead the dipion spectra measured in the τ-decays to-gether with experimental spectra for the π0γ, ηγ, π+π−π0, K+K−, K0K0 final states, supplemented by specific meson decay properties. Among these, the accepted decay width for ρ0 → e+e − and the partial widths and phase information for the ω/φ → π+π − transitions, are considered. It is then shown that, relying on this global data set, the HLS model, appropriately broken, allows to predict accurately the pion form factor below 1.05 GeV. It is shown that the data sam-ples provided by CMD-2, SND and KLOE-2010 behave consistently with each other and with the other considered data. Consistency problems with the KLOE-2008 and BaBar data samples are substantiated. “All data ” global fits are in-vestigated by applying reweighting the conflicting data sets. Constraining to our best fit, the broken HLS model yields athμ = (11 659 169.55+ [+1.26 −0.5