Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
arXiv:hep-ph/0702185 · doi:10.1016/j.nuclphysb.2007.03.010
Abstract
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.
22 pages