Version 3 of {\tt RunDec} and {\tt CRunDec}

Abstract

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 $\overline{\mathrm{MS}}$ 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.

21 pages, 2 figures

References in corpus (9)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Quark mass relations to four-loop order
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Complete renormalization of QCD at five loops
• Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Light quark mass effects in the on-shell renormalization constants
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling

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