Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order

We compute the next-to-next-to-leading order hadronic contribution to the muon anomalous magnetic moment originating from the photon vacuum polarization. The corresponding three-loop kernel functions are calculated using asymptotic expansion techniques which lead to analytic expressions. Our final r...

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Published inPhysics letters. B Vol. 734; pp. 144 - 147
Main Authors Kurz, Alexander, Liu, Tao, Marquard, Peter, Steinhauser, Matthias
Format Journal Article
LanguageEnglish
Published Elsevier B.V 27.06.2014
Subjects
Asymptotic expansions
Elementary particles
Exact solutions
Magnetic moment
Mathematical analysis
Muons
Photons
Uncertainty
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Summary:We compute the next-to-next-to-leading order hadronic contribution to the muon anomalous magnetic moment originating from the photon vacuum polarization. The corresponding three-loop kernel functions are calculated using asymptotic expansion techniques which lead to analytic expressions. Our final result, aμhad,NNLO=1.24±0.01×10−10, has the same order of magnitude as the current uncertainty of the leading order hadronic contribution and should thus be included in future analyses.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2014.05.043