Electroweak corrections to the muon anomalous magnetic moment

Bosonic two-loop electroweak radiative corrections to the muon's anomalous magnetic moment, a(mu) = (g(mu) - 2)/2, are presented. We find Delta a(mu)(EW)(2 loop bosonic)/a(mu)(EW) (1 loop) approximate to (alpha/pi) X [-3.6 ln(M(w)(2)/m(mu)(2)) + 0.10] approximate to -0.11 for M(Higgs) approximate to 250 GeV. Combining that result with our previous two-loop fermionic calculation, we obtain an overall 22.6% reduction in a(mu)(EW) from 195 X 10(-11) to 151(4) x 10(-11). Implications for the full standard model prediction and an upcoming high precision measurement of a, 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.