====== TTP07-04 Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order. ====== We compute the relation between the pole quark mass and the minimally subtracted quark mass in the framework of QCD applying dimensional reduction as a regularization scheme. Special emphasis is put on the evanescent couplings and the renormalization of the epsilon-scalar mass. As a by-product we obtain the three-loop on-shell renormalization constants Zm(OS) and Z2(OS) in dimensional regularization and thus provide the first independent check of the analytical results computed several years ago. |**P. Marquard, L. Mihaila, J.H. Piclum and M. Steinhauser** | |** Nucl.Phys.B 773 1-18 2007 ** | | {{preprints:2007:ttp07-04.pdf|PDF}} {{preprints:2007:ttp07-04.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0702185|arXiv]] | | |