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

Following updates in the compilation of ${e}^{+}{e}^{ensuremath{-}}ensuremath{rightarrow}text{hadrons}$ data, this work presents reevaluations of the hadronic vacuum polarization contributions to the anomalous magnetic moments of the electron (${a}_{e}$), muon (${a}_{ensuremath{mu}}$) and tau lepton (${a}_{ensuremath{tau}}$), 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, $ensuremath{alpha}({M}_{Z}^{2})$. 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 ${a}_{ensuremath{mu}}$ and its Standard Model prediction amounts to $mathrm{ensuremath{Delta}}{a}_{ensuremath{mu}}=(28.02ifmmodepmelsetextpmfi{}7.37)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}10}$, corresponding to a muon $gensuremath{-}2$ discrepancy of $3.8ensuremath{sigma}$.