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 ${\rm MS}$ quark masses we can establish precise relations between the kinetic and ${\rm MS}$ 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.

中文翻译：

---

动夸克质量达到三个循环

我们对极点中定义的重夸克质量与动力学方案之间的关系进行三环校正。使用极点和$ {\ rm MS} $夸克质量之间的已知关系，我们可以建立动力学和$ {\ rm MS} $魅力与底部质量之间的精确关系。与两个循环相比，精度提高了2到3倍。我们的结果构成了精确测定Cabibbo-Kobayashi-Maskawa矩阵元素的重要成分$|V_{Cb}|$ 在美女二世。