Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order

Details Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order

2007-02-19

arxiv.org/abs/hep-ph/0702185v1

Nucl.Phys.B773:1-18,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages

Scientific paper

10.1016/j.nuclphysb.2007.03.010

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.

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