Paper
Quark mass relations to four-loop order
Authors
Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
Abstract
We present results for the relation between a heavy quark mass defined in the on-shell and scheme to four-loop order. The method to compute the four-loop on-shell integral is briefly described and the new results are used to establish relations between various short-distance masses and the quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the heavy quark masses.