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

TL;DR

This paper calculates the complete tenth-order QED contributions to the muon g-2, providing a more precise estimate that slightly exceeds previous approximations, but does not resolve the existing experimental discrepancy.

Contribution

It presents the first full tenth-order QED calculation for muon g-2, improving the precision of lower-order terms and refining the theoretical prediction.

Findings

Tenth-order QED contribution is about 4.5 standard deviations larger than previous estimates.

Updated eighth-order QED term with improved precision.

The total QED contribution does not resolve the muon g-2 discrepancy.

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 improved 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(QED) = 116 584 718 951 (80) \times 10^{-14}, which does not resolve the existing discrepancy between the standard-model prediction and measurement of a_\mu.