Tenth-order lepton g-2: Contribution of some fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams
2010
This paper reports the tenth-order QED contribution to lepton g-2 from diagrams of three gauge-invariant sets VI(d), VI(g), and VI(h), which are obtained by including various fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams. In the case of electron g-2, they consist of 492, 480, and 630 vertex Feynman diagrams, respectively. The results of numerical integration, including mass-dependent terms containing muon loops, are 1.8480 (69) ({alpha}/{pi}){sup 5} for the Set VI(d), -1.5909 (62) ({alpha}/{pi}){sup 5} for the Set VI(g), and 0.1793 (39) ({alpha}/{pi}){sup 5} for the Set VI(h), respectively. We also report the contributions to the muon g-2, which derive from diagrams containing an electron, muon or tau-lepton loop: Their sums are -5.990 (591) ({alpha}/{pi}){sup 5} for the Set VI(d), 5.323 (472) ({alpha}/{pi}){sup 5} for the Set VI(g), and -8.362 (232) ({alpha}/{pi}){sup 5} for the Set VI(h), respectively.
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