2015/02/28 by Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov +1 · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevlett.114.142002
published as Phys. Rev. Lett. 114, 142002 (2015) · 6 pages, v2: references added, typos in eq.(16) fixed, matches published version
arxiv created 2015/04/30 · arxiv updated 2015/05/01
We present results for the relation between a heavy quark mass defined in the on-shell and \rm MS 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 \rm MS quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the \rm MS heavy quark masses.