====== TTP06-08 Dimensional Reduction applied to QCD at three and four loops ====== Dimensional Reduction is applied to \qcd{} in order to compute various renormalization constants in the \drbar{} scheme at higher orders in perturbation theory. In particular, the $\beta$ function and the anomalous dimension of the quark masses are derived to three-loop order. Special emphasis is put on the proper treatment of the so-called $\varepsilon$-scalars and the additional couplings which have to be considered. |**R. Harlander, P. Kant, L. Mihaila, M. Steinhauser** | |** JHEP 09 053 2006 ** | | {{preprints:2006:ttp06-08.pdf|PDF}} {{preprints:2006:ttp06-08.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0607240|arXiv]] | | |