Tatsumi Aoyama, Masashi Hayakawa, Toichiro Kinoshita, Makiko Nio
This paper presents the complete QED contribution to the electron g-2 up to the tenth order. With the help of the automatic code generator, we have evaluated all 12672 diagrams of the tenth-order diagrams and obtained a_e^{(10)} = 9.16 (58) in units of (\alpha/\pi)^5. We have also improved the eighth-order contribution obtaining a_e^{(8)} = -1.9097 (20) in units of (\alpha/\pi)^4, which includes the mass-dependent contributions. These results together with the measurement of a_e lead to the improved value of the fine-structure constant \alpha^{-1} = 137.035 999 166 (34) [0.25 ppb].
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http://arxiv.org/abs/1205.5368
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