Complete Tenth-Order QED Contribution to the Muong−2

Abstract

We report the result of our calculation of the complete tenth-order QED terms of the muon $g-2$. Our result is $a_{\mu }^{(10)}=753.29$ (1.04) in units of $(\alpha /\pi {)}^5$, 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 $a_{\mu }$, obtaining $a_{\mu }^{(8)}=130.8794$ (63) in units of $(\alpha /\pi {)}^4$. The new QED contribution is $a_{\mu }(\mathrm{QED})=116584718951(80)\times {10}^{-14}$, which does not resolve the existing discrepancy between the standard-model prediction and measurement of $a_{\mu }$.