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.

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}

References in corpus (19)

• Harmonic Polylogarithms
• New features of FORM
• FORM version 4.0
• The three loop relation between the \bar {MS} and the pole quark masses
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Quark mass relations to four-loop order
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
• Short Distance Mass of a Heavy Quark at Order α_s^3
• High-precision calculation of the 4-loop contribution to the electron g-2 in QED
• The three loop on-shell renormalization of QCD and QED
• $\overline{\mathrm{MS}}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Four-loop wave function renormalization in QCD and QED
• Analytical expressions of 3 and 4-loop sunrise Feynman integrals and 4-dimensional lattice integrals
• High-precision calculation of the 4-loop QED contribution to the slope of the Dirac form factor
• The least squares method: application to analysis of the flavor dependence of the QCD relation between pole and $\overline{\mathrm{MS}}$-scheme running heavy quark masses
• Multiloop contributions to the on-shell-$\overline{\mathrm{MS}}$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration

Cited by in corpus (3)

• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
• Matching the heavy-quark fields in QCD and HQET at four loops