Four-loop relation between the $\bar{\rm MS}$ and on-shell quark mass

  title={Four-loop relation between the \$\bar\{\rm MS\}\$ and on-shell quark mass},
  author={Peter Marquard and Alexander Valeryevich Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
In this contribution we discuss the four-loop relation between the on-shell and $\bar{\rm MS}$ definition of heavy quark masses which is applied to the top, bottom and charm case. We also present relations between the $\bar{\rm MS}$ quark mass and various threshold mass definitions and discuss the uncertainty at next-to-next-to-next-to-leading order. 

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  • Rev. Lett. 82
  • 1999