High-precision calculation of the 4-loop contribution to the electron g-2 in QED

2017/04/30 by Stefano Laporta · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1016/j.physletb.2017.06.056

published as Physics Letters B 772 (2017) 232-238 · 14 pages, 3 figures, 3 tables v2: version published in PRL (specified "mass-independent contribution", figure 2 reformatted)

arxiv created 2017/07/10 · arxiv updated 2017/08/23

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 is a_e = -1.912245764926445574152647167439830054060873390658725345… (\fracαπ)⁴. I have fit a semi-analytical expression to the numerical value. The expression contains harmonic polylogarithms of argument e^(iπ)/(3), e^(2iπ)/(3), e^(iπ)/(2), one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits.

Cited by

• Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories

Related

• Tenth-Order QED Contribution to the Electrong−2and an Improved Value of the Fine Structure Constant
• Searching for the Feynman diagram IIc
• The Unpublished Feynman Diagram IIc
• Two-loop QED corrections to the scattering of four massive leptons
• Bound State Effect on the Electron g-2