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Following updates in the compilation of $e^+e^-\rightarrow{\rm  hadrons}$ data, this work presents re-evaluations of the hadronic vacuumpolarisation contributions to the anomalous magnetic moment of the electron($a_e$), muon ($a_\mu$) and tau lepton ($a_\tau$), to the ground-statehyperfine splitting of muonium and also updates the hadronic contributions tothe running of the QED coupling at the mass scale of the $Z$ boson,$\alpha(M_Z^2)$. Combining the results for the hadronic vacuum polarisationcontributions with recent updates for the hadronic light-by-light corrections,the electromagnetic and the weak contributions, the deviation between themeasured value of $a_\mu$ and its Standard Model prediction amounts to $\Deltaa_{\mu} = (28.02 \pm 7.37) \times 10^{-10}$, corresponding to a muon $g-2$discrepancy of $3.8\sigma$.

The $g-2$ of charged leptons, $\alpha(M_Z^2)$ and the hyperfine splitting of muonium