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The Tenth-Order QED Contribution to the Lepton g-2: Evaluation of Dominant $α^5$ Terms of Muon g-2

T. Kinoshita·M. Nio
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Abstract

The QED contribution to the anomalous magnetic moments of electron and muon are known very precisely up to the order $α^4$. However, the knowledge of $α^5$ term will also be required when the precision of measurement improves further. This paper reports the first systematic attempt to evaluate the $α^5$ term. Feynman diagrams contributing to this term can be classified into six gauge-invariant sets which can be subdivided further into 32 gauge-invariant subsets. Thus far we have numerically evaluated all integrals of 17 gauge-invariant subsets which contain light-by-light-scattering subdiagrams and/or vacuum-polarization subdiagrams. They cover most of leading terms of muon $g-2$ and lead to a preliminary result 663(20) $(α/π)^5$, which is 8.5 times more precise than the old estimate.

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T. Kinoshita, M. Nio. 2006-03-07. The Tenth-Order QED Contribution to the Lepton g-2: Evaluation of Dominant $α^5$ Terms of Muon g-2. https://doi.org/10.1103/physrevd.73.053007

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