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# Title: Electroweak corrections to the muon anomalous magnetic moment

Abstract: 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.
 Comments: Revtex, 10 pages. Corrected version, submitted to Phys. Rev. Lett. Two-loop electroweak corrections to anomalous magnetic moments of electron and tau are included Subjects: High Energy Physics - Phenomenology (hep-ph) Journal reference: Phys.Rev.Lett.76:3267-3270,1996 DOI: 10.1103/PhysRevLett.76.3267 Report number: TTP95-34 Cite as: arXiv:hep-ph/9512369 (or arXiv:hep-ph/9512369v3 for this version)

## Submission history

From: Bernd Krause [view email]
[v1] Wed, 20 Dec 1995 00:16:31 GMT (0kb,I)
[v2] Fri, 22 Dec 1995 15:34:54 GMT (0kb,I)
[v3] Wed, 13 Mar 1996 17:43:31 GMT (15kb)
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