Electroweak corrections to the muon anomalous magnetic moment
Abstract
The 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
EW
μ
(2loopbosonic)/
a
EW
μ
(1loop)≈
α
π
(−3.6ln(
M
2
W
m
2
μ
)+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
EW
μ
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.