{ \tt RunDec }和{ \tt CRunDec }的第3版
Version 3 of {\tt RunDec} and {\tt CRunDec}
摘要：
我们提出了新版本的程序包{ \tt RunDec}和{ \tt CRunDec}，它们可用于强耦合常数和夸克质量的运行和解耦。此外，还实现了几个重夸克质量的转换公式。新的版本包括QCD β函数的五圈修正和四圈解耦效应。此外，在$\overline{\rm MS}$和其他短距离方案中定义的重夸克质量之间的各种关系被实现为次-领先的顺序。我们将详细讨论这些改进，并提供几个示例，说明如何在频繁发生的情况下使用{ \tt RunDec}和{ \tt CRunDec}。
英文摘要：
We present new versions of the packages {\tt RunDec} and {\tt CRunDec} which can be used for the running and decoupling of the strong coupling constant and quark masses. Furthermore several conversion formulae for heavy quark masses are implemented. The new versions include five-loop corrections of the QCD beta function and four-loop decoupling effects. Furthermore, various relations between the heavy quark mass defined in the $\overline{\rm MS}$ and other short-distance schemes are implemented to next-to-next-to-next-to-leading order. We discuss in detail the improvements and provide several examples which show how {\tt RunDec} and {\tt CRunDec} can be used in frequently occurring situations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
