====== TTP06-27 Four-loop $\beta$ function and anomalous mass dimension in Dimensional Reduction ====== Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into account. This concerns the epsilon-scalar--quark Yukawa coupling as well as the vertex containing four epsilon-scalars. For a supersymmetric Yang Mills theory, we find, in contrast to a previous claim, that the evanescent Yukawa coupling equals the strong coupling constant through three loops as required by supersymmetry. |**R. Harlander, D.R.T. Jones, P. Kant, L. Mihaila, M. Steinhauser** | |** JHEP 0612 024 2006 ** | | {{preprints:2006:ttp06-27.pdf|PDF}} {{preprints:2006:ttp06-27.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0610206|arXiv]] | | |