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arXiv:1205.5368hep-ph

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

Tatsumi Aoyama, Masashi Hayakawa, Toichiro Kinoshita, Makiko Nio

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Abstract

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 a_e(theory)=1 159 652 181.78 (77) \times 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 a_e.

arXiv comments
4 pages, 2 figures. Some numbers are slightly changed
Journal reference
DOI
doi:10.1103/PhysRevLett.109.111807
Subjects
hep-phHigh Energy Physics, Phenomenology

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    • Given what? If a theory gives you a well-defined relation between the magnetic moment of the electron and the fine structure constant, you can measure either one and then compute the other one. Which one is "predicted" is just a convention. Eq. (13) in [1] is a prediction of the…

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    • > Are you arguing something like, "there are X irreducible inputs to the Standard Model. For any particular input, a, you might be able to swap it out for a different one, g, so that you still have X irreducible inputs, but now they are a different set. That's part of what I'm…

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