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arXiv 2012-05-24 DOI 10.1103/PhysRevLett.109.111807 0 views

Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant

Aoyama, Tatsumi · Hayakawa, Masashi · Kinoshita, Toichiro · Nio, Makiko

Original · EN

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 9.16 (58)(α/π)⁵. We have also improved the eighth-order contribution obtaining -1.9097(20)(α/π)⁴, which includes the mass-dependent contributions. These results lead to aₑ(theory)=1 159 652 181.78 (77) × 10⁻¹². The improved value of the fine-structure constant α⁻¹ = 137.035 999 174 (35) [0.25 ppb] is also derived from the theory and measurement of aₑ.

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