论文标题

$ \ MATHCAL {O}(α_s^3)$计算$ | v_ {cb} | $的包含确定

$\mathcal{O}(α_s^3)$ calculations for the inclusive determination of $|V_{cb}|$

论文作者

Schönwald, Kay

论文摘要

为了确定Cabbibo-kobayashi-Maskawa矩阵元素$ | v_ {cb} | $从包含数据中的精确知识,对半衰弱的$ b \ to C $衰减率是必要的。由于这种可观察到的可收敛性行为不良,当时在壳上表达了重夸克质量,或者$ \ overline {\ text {ms}} $方案在所谓的动力学质量方案中获得了最新的确定。不同方案之间的关系也需要高精度。在此程序中,我们介绍了最新的计算,该计算将两种成分的精度都推到$ \ Mathcal {o}(α_s^3)$。结果可用于改善$ | v_ {cb} | $的包含确定。

For the determination of the Cabbibo-Kobayashi-Maskawa matrix element $|V_{cb}|$ from inclusive data a precise knowledge of the semileptonic $b \to c$ decay rate is necessary. Since this observable has a bad convergence behavior when the heavy quark masses are expressed in the on-shell or $\overline{\text{MS}}$ scheme the latest determinations have been obtained in the so called kinetic mass scheme. The relation between the different schemes needs to be known to high precision as well. In this proceedings we present our recent calculations which push the precision of both ingredients to $\mathcal{O}(α_s^3)$. The results can be used to improve the inclusive determination of $|V_{cb}|$.

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