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Quark mass relations to four-loop order in perturbative QCD
Peter Marquard1, Alexander V Smirnov2, Vladimir A Smirnov3
1Deutsches Elektronen Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany.
Abstract:
We present results for the relation between a heavy quark mass defined in the on-shell and minimal subtraction (MS[over ¯]) 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 MS[over ¯] quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the MS[over ¯] heavy quark masses.
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