DESY Theory Seminar

Some four- and five-loop results in QCD

by Andreas Vogt



We report on calculations in perturbative Quantum Chromodynamics (QCD)
and its generalization to Yang-Mills theories with fermions. We summarize
the present status of four-loop calculations of the splitting functions for the
scale dependence (evolution) of the quark and gluon distributions of hadrons.
Five-loop results are presented for the beta function, i.e., the running of
the coupling constant, for hadronic decays of the Higgs boson, and for the
lowest moments of the non-singlet splitting functions.