Answers are grounded in this paper and cite their sources.
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.
No takes yet. Share an insight, caveat, or question.
S. Laporta (2017) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: