Relation between the on-shell and $\overline{\rm MS}$ mass at four loops

Apr 13, 2016, 11:00 AM
SR2 (DESY Hamburg)


DESY Hamburg

Heavy Flavours (Charm, Beauty and Top) WG4 Heavy Flavours


Prof. Matthias Steinhauser (KIT)


In this talk the relation between heavy quark masses defined in the on-shell and $\overline{\rm MS}$ scheme is discussed at four-loop order in QCD. Special emphasis is put on the top quark mass where the four-loop result is used to estimate the remaining renormalon uncertainty. The relation between the $\overline{\rm MS}$ and on-shell mass can also be used to establish precise relations between so-called threshold masses and the $\overline{\rm MS}$ mass which has important applications both for bottom and top.

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