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The Kinetic Heavy Quark Mass to Three Loops

Fael, Matteo; Schönwald, Kay; Steinhauser, Matthias

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
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