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Within the framework of QCD we compute renormalization constants for thestrong coupling and the quark masses to four-loop order. We apply the DR-barscheme and put special emphasis on the additional couplings which have to betaken into account. This concerns the epsilon-scalar--quark Yukawa coupling aswell as the vertex containing four epsilon-scalars. For a supersymmetric YangMills theory, we find, in contrast to a previous claim, that the evanescentYukawa coupling equals the strong coupling constant through three loops asrequired by supersymmetry.Comment: 15 pages, fixed typo in Eq. (18

Four-loop β function and mass anomalous dimension in dimensional reduction