Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-12-20
Phys.Rev.Lett. 76 (1996) 3267-3270
Physics
High Energy Physics
High Energy Physics - Phenomenology
Revtex, 10 pages. Corrected version, submitted to Phys. Rev. Lett. Two-loop electroweak corrections to anomalous magnetic mome
Scientific paper
10.1103/PhysRevLett.76.3267
The bosonic two-loop electroweak radiative corrections to the muon's anomalous magnetic moment, $a_\mu\equiv (g_\mu-2)/2$, are presented. We find $\Delta a_\mu^{\rm EW}({\rm 2\,loop\, bosonic})/ a_\mu^{\rm EW}({\rm 1\,loop})\approx {\alpha\over \pi}\left(-3.6 \ln\left({M_W^2\over m_\mu^2}\right) +0.10 \right)\approx -0.11$ for $M_{\rm Higgs}\approx 250$ GeV. Combining that result with our previous two-loop fermionic calculation, we obtain an overall 22.6\% reduction in $a_\mu^{\rm EW}$ from $195\times 10^{-11}$ to $151(4)\times 10^{-11}$. Implications for the full standard model prediction and an upcoming high precision measurement of $a_\mu$ 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.
Czarnecki Andrzej
Krause Bernd
Marciano William J.
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