We present results for the relation between a heavy quark mass defined in the on-shell and MSˉ 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 MSˉ quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the MSˉ heavy quark masses.
@article{arxiv.1502.01030,
title = {Quark mass relations to four-loop order},
author = {Peter Marquard and Alexander V. Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
journal= {arXiv preprint arXiv:1502.01030},
year = {2015}
}
Comments
6 pages, v2: references added, typos in eq.(16) fixed, matches published version