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

By A. Keshavarzi, D. Nomura, T. Teubner. Physical Review D, 2019

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Following updates in the compilation of $e^+e^-\rightarrow{\rm hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the electron ($a_e$), muon ($a_\mu$) and tau lepton ($a_\tau$), 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, $\alpha(M_Z^2)$. Combining the results for the hadronic vacuum polarisation contributions with recent updates for the hadronic light-by-light corrections, the electromagnetic and the weak contributions, the deviation between the measured value of $a_\mu$ and its Standard Model prediction amounts to $\Delta a_{\mu} = (28.02 \pm 7.37) \times 10^{-10}$, corresponding to a muon $g-2$ discrepancy of $3.8\sigma$.

Subfields: Mechanics of Materials, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9e9b821980431da639ff61f26fdff87fda1a67be