Electroweak Corrections to the Muon Anomalous Magnetic Moment

Bosonic two-loop electroweak radiative corrections to the muon's anomalous magnetic moment, a_μ≡(g_μ-2)2, are presented. We find ${{Δ}{a}_{{μ}}EW(2 loopbosonic)}{{a}_{{μ}}EW(1 loop)}{≈}({{α}}{{π}})×{}[{-}3.6ln({{M}W²}{{m}_{{μ}}²})+0.10]{≈}{-}0.11$ for ${M}Higgs{≈}250$ GeV. Combining that result with our previous two-loop fermionic calculation, we obtain an overall 22.6% reduction in ${a}_{{μ}}EWfrom 195 ×{10}^{{-}11}to 151(4) ×{10}^{{-}11}$. Implications for the full standard model prediction and an upcoming high precision measurement of ${a}_{{μ}}$ are briefly discussed. We also give the two-loop electroweak corrections to the anomalous magnetic moments of electron and tau lepton; they result in a reduction of the one-loop estimates by 35% and 15%, respectively.