High-precision calculation of the 4-loop contribution to the electron g-2 in QED
I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron g-2 in QED. The total mass-independent 4-loop contribution is ae=−1.912245764926445574152647167439830054060873390658725345…(απ)4. I have fit a semi-analytical expression t...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-09-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317305324 |
| Summary: | I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron g-2 in QED. The total mass-independent 4-loop contribution is
ae=−1.912245764926445574152647167439830054060873390658725345…(απ)4.
I have fit a semi-analytical expression to the numerical value. The expression contains harmonic polylogarithms of argument eiπ3, e2iπ3, eiπ2, one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits. |
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| ISSN: | 0370-2693 1873-2445 |