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

Abstract

The 4-loop QED mass and wave function renormalization constants $Z_2$ and $Z_m$ 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 $Z_2^{OS}$ and $Z_m^{OS}$ which can 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.

Comments: 12 pages, 1 table and 1 figure; v2: revised version accepted by Physics Letters B; v3: added the missing definition of the constant t_{63}