6-8 October 2020
Europe/Berlin timezone

The Kinetic Heavy Quark Mass to Three Loop

7 Oct 2020, 11:46


Kay Schoenwald (KIT)


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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