The electroweak contributions to (g-2)_\mu\ after the Higgs boson mass measurement

TL;DR

This paper recalculates the electroweak contributions to the muon g-2 in the Standard Model using the recently measured Higgs boson mass, providing updated analytic and numerical results.

Contribution

It offers a re-evaluation of electroweak contributions to (g-2)_ in the Standard Model incorporating the latest Higgs mass measurement, with precise analytic expressions and results.

Findings

Electroweak contribution: (153.6 .0) ^{-11}

Updated with recent Higgs mass measurement

Remaining uncertainties from three-loop and hadronic effects

Abstract

The Higgs boson mass used to be the only unknown input parameter of the electroweak contributions to (g-2)_\mu\ in the Standard Model. It enters at the two-loop level in diagrams with e.g. top loops, W- or Z-exchange. We re-evaluate these contributions, providing analytic expressions and exact numerical results for the Higgs boson mass recently measured at the LHC. Our final result for the full Standard Model electroweak contributions is (153.6\pm1.0)*10^{-11}, where the remaining theory error comes from unknown three-loop contributions and hadronic uncertainties.