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arXiv · 2005.06487

The Kinetic Heavy Quark Mass to Three Loops

Matteo Fael·Kay Schönwald·Matthias Steinhauser
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Abstract

We compute three-loop corrections to the relation between the heavy quark masses defined in the pole and kinetic schemes. Using known relations between the pole and $\overline{\rm MS}$ quark masses we can establish precise relations between the kinetic and $\overline{\rm MS}$ charm and bottom masses. As compared to two loops, the precision is improved by a factor two to three. Our results constitute important ingredients for the precise determination of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$ at Belle~II.

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Matteo Fael, Kay Schönwald, Matthias Steinhauser. 2020-05-13. The Kinetic Heavy Quark Mass to Three Loops. https://doi.org/10.1103/physrevlett.125.052003

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