RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses

Abstract In this paper the formulae are collected which are needed for the computation of the strong coupling constant and quark masses at different energy scales and for different number of active flavors. All equations contain the state-of-the-art QCD corrections up to three- and sometimes even four-loop order. For the practical implementation Mathematica is used and a package containing useful procedures is provided. Title of program: RunDec Catalogue Id: ADMT_v1_0 Nature of problem The values for the coupling constant of Quantum Chromodynamics, alphas(nf)(mu), actually depends on the considered energy scale, mu, and the number of active quark flavours, nf. The same applies to light quark masses, mq(nf)(mu), if they are, e.g., evaluated in the MSbar scheme. In the program RunDec all relevant formulae are collected and varioius procedures are provided which allow for a convenient evaluation of alphas(nf)(mu) and mq(nf)(mu) using the state-of-the-art correction terms. Versions of this program held in the CPC repository in Mendeley Data ADMT_v1_0; RunDec; 10.1016/S0010-4655(00)00155-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)**摘要** 本文收集了不同能标、不同活性夸克味数条件下，强耦合常数与夸克质量计算所需的全部公式。所有方程均包含当前领域内最前沿的量子色动力学（Quantum Chromodynamics，QCD）修正项，精度可达三阶圈图，部分甚至达到四阶圈图级别。本研究采用Mathematica实现了该套公式的实用化部署，并提供了包含各类实用子程序的配套软件包。 **程序名称**：RunDec；**目录编号**：ADMT_v1_0；**问题属性**：量子色动力学耦合常数$alpha_s(n_f)(mu)$的取值实际依赖于所选能标$mu$与活性夸克味数$n_f$。若在$overline{ ext{MS}}$（MS-bar，修正最小减除）方案中计算轻夸克质量$m_q(n_f)(mu)$，其取值也遵循相同的依赖规律。RunDec程序整合了所有相关计算公式，并提供了多种子程序，可借助当前最前沿的修正项便捷求解$alpha_s(n_f)(mu)$与$m_q(n_f)(mu)$。 本程序在Mendeley Data的CPC仓库中留存的版本为ADMT_v1_0；关联程序：RunDec；DOI：10.1016/S0010-4655(00)00155-7。本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2019）。