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 $1.8480(69)(\alpha /\pi {)}^5$ for the Set VI(d), $-1.5909(62)(\alpha /\pi {)}^5$ for the Set VI(g), and $0.1793(39)(\alpha /\pi {)}^5$ 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 $-5.990(591)(\alpha /\pi {)}^5$ for the Set VI(d), $5.323(472)(\alpha /\pi {)}^5$ for the Set VI(g), and $-8.362(232)(\alpha /\pi {)}^5$ for the Set VI(h), respectively.

• Received 17 September 2010

DOI:https://doi.org/10.1103/PhysRevD.82.113004