Article ID Journal Published Year Pages File Type
5494683 Physics Letters B 2017 7 Pages PDF
Abstract
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 isae=−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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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