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Phys. Rev. D 77, 053012 (2008) [24 pages]

Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron

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T. Aoyama
Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan

M. Hayakawa
Department of Physics, Nagoya University, Nagoya, Aichi 464-8602, Japan

T. Kinoshita
Newman Laboratory for Elementary-Particle Physics, Cornell University, Ithaca, New York 14853, USA

M. Nio
Theoretical Physics Laboratory, Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan

Received 18 December 2007; published 26 March 2008

We have carried out a new evaluation of the eighth-order contribution to the electron g-2 using FORTRAN codes generated by an automatic code generator gencodeN. Comparison of the new result with the old one has revealed an inconsistency in the treatment of the infrared divergences in the latter. With this error corrected we now have two independent determinations of the eighth-order term. This leads to the revised value 1 159 652 182.79(7.71)×10-12 of the electron g-2, where the uncertainty comes mostly from that of the best non-QED value of the fine structure constant α. The new value of α derived from the revised theory and the latest experiment is α-1=137.035 999 084(51) [0.37  ppb], which is about 4.7 ppb smaller than the previous α-1.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.053012
DOI:
10.1103/PhysRevD.77.053012
PACS:
13.40.Em, 06.20.Jr, 12.20.Ds, 14.60.Cd