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We have computed the self-energies and a set of three-particle vertexfunctions for massless QCD at the four-loop level in the MSbar renormalizationscheme. The vertex functions are evaluated at points where one of the momentavanishes. Analytical results are obtained for a generic gauge group and withthe full gauge dependence, which was made possible by extensive use of theForcer program for massless four-loop propagator integrals. The bare results indimensional regularization are provided in terms of master integrals andrational coefficients; the latter are exact in any space-time dimension. Ourresults can be used for further precision investigations of the perturbativebehaviour of the theory in schemes other than MSbar. As an example, we derivethe five-loop beta function in a relatively common alternative, the minimalmomentum subtraction (MiniMOM) scheme.

Four-loop QCD propagators and vertices with one vanishing external momentum