Tenth-order lepton g-2: Contribution from diagrams containing sixth-order light-by-light-scattering subdiagram internally

This paper reports the result of our evaluation of the tenth-order QED correction to the lepton g−2 from Feynman diagrams which have sixth-order light-by-light-scattering subdiagrams, none of whose vertices couple to the external magnetic field. The gauge-invariant set of these diagrams, called Set II(e), consists of 180 vertex diagrams. In the case of the electron g−2 (ae), where the light-by-light subdiagram consists of the electron loop, the contribution to ae is found to be −1.344 9 (10)(�/�) 5 . The contribution of the muon loop to ae is −0.000 465 (4)(�/�) 5 . The contribution of the tau-lepton loop is about two orders of magnitudes smaller than that of the muon loop and hence negligible. The sum of all of these contributions to ae is −1.345 (1)(�/�) 5 . We have also evaluated the contribution of Set II(e) to the muon g−2 (aµ). The contribution to aµ from the electron loop is 3.265 (12)(�/�) 5 , while the contribution of the tau-lepton loop is −0.038 06 (13)(�/�) 5 . The total contribution to aµ, which is the sum of these two contributions and the mass-independent part of ae, is 1.882 (13)(�/�) 5 .