The calculation of renormalization group quantities at the 4-loop order of QCD

摘要

I give an overview of recent calculations of the renormalization group β-function and the quark mass anomalous dimension at the 4-loop order of perturbative quantum Chromodynamics. In addition I discuss the or- der α~3_s contribution to the Ellis-Jaffe sum rule for the structure function g1 of polarized deep inelastic lepton-nucleon scattering. The calculations discussed in this talk were performed in collaborations with S. A Larin and J.A.M. Vermaseren.