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 reevaluate 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 $(153.6\pm 1.0)\times {10}^{-11}$, where the remaining theory error comes from unknown three-loop contributions and hadronic uncertainties.

• Received 3 July 2013

DOI:https://doi.org/10.1103/PhysRevD.88.053005