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arXiv · 1403.6400

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

Alexander Kurz·Tao Liu·Peter Marquard·Matthias Steinhauser
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Abstract

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, $a_μ^{\rm had,NNLO} = 1.24 \pm 0.01 \times 10^{-10}$, has the same order of magnitude as the current uncertainty of the leading order hadronic contribution and should thus be included in future analyses.

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Alexander Kurz, Tao Liu, Peter Marquard, Matthias Steinhauser. 2014-06-25. Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order. https://doi.org/10.1016/j.physletb.2014.05.043

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