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 Δa_μ^EW(2 loop bosonic )/a_μ^EW(1 loop)≈(α/π)×[-3.6ln(M_W²/m_μ²)+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^EW from 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.