The Tenth-Order QED Contribution to the Lepton g-2: Evaluation of Dominant α⁵ Terms of Muon g-2
Kinoshita, T. · Nio, M.
Original · EN
The QED contribution to the anomalous magnetic moments of electron and muon are known very precisely up to the order α⁴. However, the knowledge of α⁵ term will also be required when the precision of measurement improves further. This paper reports the first systematic attempt to evaluate the α⁵ 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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