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We discuss the analytical calculation of the renormalization group β-function at the 4-loop order of perturbative Quantum Chromodynamics. In addition we have obtained the order αs3αs3 contribution to the Ellis-Jaffe sum rule for the structure function g1g1 of polarized deep inelastic lepton-nucleon scattering. © 1997 American Institute of Physics

Recent higher order QCD results: the β-function at 4-loops and the first moment of g1 in O(αs3)