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arXiv · 1502.01030

Quark mass relations to four-loop order

Peter Marquard·Alexander V. Smirnov·Vladimir A. Smirnov·Matthias Steinhauser
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Abstract

We present results for the relation between a heavy quark mass defined in the on-shell and $\bar{\rm MS}$ 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 $\bar{\rm MS}$ quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the $\bar{\rm MS}$ heavy quark masses.

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Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser. 2015-04-30. Quark mass relations to four-loop order. https://doi.org/10.1103/physrevlett.114.142002

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