# XXIV International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS16)

Apr 11 – 15, 2016
DESY Hamburg
Europe/Berlin timezone

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

Apr 13, 2016, 11:00 AM
15m
SR2 (DESY Hamburg)

### SR2

#### DESY Hamburg

Heavy Flavours (Charm, Beauty and Top)

### Speaker

Prof. Matthias Steinhauser (KIT)

### Description

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.

 Slides