High-precision four-loop mass and wave function renormalization in QED

Abstract

The 4-loop QED mass and wave function renormalization constants Z2 and Zm have been evaluated in the on-shell subtraction scheme with 1100 digits of precision. We also worked out the coefficients of the five color structures of the QCD renormalization constants Z2OS and ZmOS which can be obtained from QED-like diagrams. The results agree with lower precision results available in the literature. Analytical fits were also obtained for all these quantities. Keywords: Quantum electrodynamics, Quantum chromodynamics, Renormalization, Feynman diagram, Master integral