Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
نویسندگان
چکیده
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 ε-scalar mass. As a by-product we obtain the three-loop on-shell renormalization constants ZOS m and Z OS 2 in dimensional regularization and thus provide the first independent check of the analytical results computed several years ago. PACS numbers: 12.38.-t 14.65.-q 14.65.Fy 14.65.Ha
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