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arXiv · 1407.0264

Higher-order hadronic and heavy-lepton contributions to the anomalous magnetic moment

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

We report about recent results obtained for the muon anomalous magnetic moment. Three-loop kernel functions have been computed to obtain the next-to-next-to-leading-order hadronic vacuum polarization contributions. The numerical result, $a_μ^{\rm{had,NNLO}}=1.24\pm 0.01 \times 10^{-10}$, is of the same order of magnitude as the current uncertainty from the hadronic contributions. For heavy-lepton corrections, analytical results are obtained at four-loop order and compared with the known results.

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Alexander Kurz, Tao Liu, Peter Marquard, Matthias Steinhauser. 2014-07-01. Higher-order hadronic and heavy-lepton contributions to the anomalous magnetic moment. https://arxiv.org/abs/1407.0264

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