g -2 of charged leptons, α (MZ2), and the hyperfine splitting of muonium

Following updates in the compilation of e⁺e^-→hadrons data, this work presents reevaluations of the hadronic vacuum polarization contributions to the anomalous magnetic moments of the electron (a_e), muon (a_μ) and tau lepton (a_τ), to the ground-state hyperfine splitting of muonium and also updates the hadronic contributions to the running of the QED coupling at the mass scale of the Z boson, α (M_Z²). Combining the results for the hadronic vacuum polarization contributions with recent updates for the hadronic light-by-light corrections, the electromagnetic and the weak contributions, the deviation between the measured value of a_μ and its Standard Model prediction amounts to Δ a_μ=(28.02 ±7.37 )×10^-10 , corresponding to a muon g -2 discrepancy of 3.8 σ .