Four-loop wave function renormalization in QCD and QED

Abstract

We compute the on-shell wave function renormalization constant to four-loop order in QCD and present numerical results for all coefficients of the SU$(N_c)$ colour factors. We extract the four-loop HQET anomalous dimension of the heavy quark field and also discuss the application of our result to QED.

24 pages

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• Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike
• The electron self-energy in QED at two loops revisited
• Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals
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• Four-loop cusp anomalous dimension in QED
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• Matching the heavy-quark fields in QCD and HQET at four loops
• High-precision four-loop mass and wave function renormalization in QED
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• Three loop QCD corrections to heavy quark form factors