论文标题

动力学重的夸克质量为三个循环

The Kinetic Heavy Quark Mass to Three Loops

论文作者

Fael, Matteo, Schönwald, Kay, Steinhauser, Matthias

论文摘要

我们将三环校正计算到在极点和动力学方案中定义的重夸克质量之间的关系。使用POL与$ \ Overline {\ rm MS} $ Quark Masses之间的已知关系,我们可以在动力学和$ \ overline {\ rm MS} $魅力和底部质量之间建立精确的关系。与两个循环相比,精度提高了2-3个因子。我们的结果构成了Cabibbo-Kobayashi-Maskawa矩阵元素$ | v_ {cb} | $的精确确定的重要成分。

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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