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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.
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Aoyama et al. (2008) studied this question.
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