Tenth-Order QED Contribution to the Electron g2 and an Improved Value of the Fine Structure Constant

Tatsumi Aoyama, Masashi Hayakawa, Toichiro Kinoshita, and Makiko Nio
Phys. Rev. Lett. 109, 111807 – Published 13 September 2012

Abstract

This Letter presents the complete QED contribution to the electron g2 up to the tenth order. With the help of the automatic code generator, we evaluate all 12 672 diagrams of the tenth-order diagrams and obtain 9.16(58)(α/π)5. We also improve the eighth-order contribution obtaining 1.9097(20)(α/π)4, which includes the mass-dependent contributions. These results lead to ae(theory)=1159652181.78(77)×1012. The improved value of the fine-structure constant α1=137.035999173(35) [0.25 ppb] is also derived from the theory and measurement of ae.

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  • Received 24 May 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.111807

© 2012 American Physical Society

Authors & Affiliations

Tatsumi Aoyama1,2, Masashi Hayakawa3,2, Toichiro Kinoshita4,2, and Makiko Nio2

  • 1Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya, 464-8602, Japan
  • 2Nishina Center, RIKEN, Wako, Japan 351-0198
  • 3Department of Physics, Nagoya University, Nagoya, Japan 464-8602
  • 4Laboratory for Elementary Particle Physics, Cornell University, Ithaca, New York, 14853, USA

See Also

Complete Tenth-Order QED Contribution to the Muon g2

Tatsumi Aoyama, Masashi Hayakawa, Toichiro Kinoshita, and Makiko Nio
Phys. Rev. Lett. 109, 111808 (2012)

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Vol. 109, Iss. 11 — 14 September 2012

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