Complete Tenth-Order QED Contribution to the Muon g − 2

We report the result of our calculation of the complete tenth-order QED terms of the muon $g\ensuremath{-}2$. Our result is ${a}_{\ensuremath{\mu}}^{(10)}=753.29$ (1.04) in units of $(\ensuremath{\alpha}/\ensuremath{\pi}{)}^{5}$, which is about 4.5 s.d. larger than the leading-logarithmic estimate 663(20). We also improve the precision of the eighth-order QED term of ${a}_{\ensuremath{\mu}}$, obtaining ${a}_{\ensuremath{\mu}}^{(8)}=130.8794$ (63) in units of $(\ensuremath{\alpha}/\ensuremath{\pi}{)}^{4}$. The new QED contribution is ${a}_{\ensuremath{\mu}}(\mathrm{QED})=116\text{ }584\text{ }718\text{ }951\text{ }(80)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}$, which does not resolve the…

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  National Science Foundation