# The Kinetic Heavy Quark Mass to Three Loops

Fael, Matteo; Schönwald, Kay; Steinhauser, Matthias

## 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 $\overline{\mathrm{MS}}$ quark masses, we can establish precise relations between the kinetic and $\overline{\mathrm{MS}}$ charm and bottom masses. As compared to two loops, the precision is improved by a factor of 2 to 3. Our results constitute important ingredients for the precise determination of the Cabibbo-Kobayashi–Maskawa matrix element |V$_{cb}$| at Belle II.

 Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP) Publikationstyp Forschungsbericht/Preprint Publikationsjahr 2020 Sprache Englisch Identifikator ISSN: 0031-9007, 1079-7114, 1092-0145 KITopen-ID: 1000123549 Umfang 6 S. Nachgewiesen in arXiv Relationen in KITopen Verweist aufKinetic Heavy Quark Mass to Three Loops. Fael, Matteo; Schönwald, Kay; Steinhauser, Matthias (2020) Zeitschriftenaufsatz (1000123515)
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