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

References in zbMATH (referenced in 37 articles , 1 standard article )

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  1. Del Debbio, Luigi; Ramos, Alberto: Lattice determinations of the strong coupling (2021)
  2. Feng, Feng; Huang, Yingsheng; Jia, Yu; Sang, Wen-Long; Zhang, Jia-Yue: Exclusive radiative production of fully-charmed tetraquarks at (B) factory (2021)
  3. Liang, Zhengchen; Sun, Zheng: A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model (2021)
  4. Krüger, Olaf: Log expansions from combinatorial Dyson-Schwinger equations (2020)
  5. Thomas Deppisch, Florian Herren: RGE++ : A C++ library to solve renormalisation group equations in quantum field theory. (2020) arXiv
  6. Artz, Johannes; Harlander, Robert V.; Lange, Fabian; Neumann, Tobias; Prausa, Mario: Results and techniques for higher order calculations within the gradient-flow formalism (2019)
  7. Hollik, Wolfgang G.; Weiglein, Georg; Wittbrodt, Jonas: Impact of vacuum stability constraints on the phenomenology of supersymmetric models (2019)
  8. Tanaka, Kazuhiro: Three-loop formula for quark and gluon contributions to the QCD trace anomaly (2019)
  9. D.M. Straub: flavio: a Python package for flavour and precision phenomenology in the Standard Model and beyond (2018) arXiv
  10. Bednyakov, A. V.; Kniehl, B. A.; Pikelner, A. F.; Veretin, O. L.: On the (b)-quark running mass in QCD and the SM (2017)
  11. Davies, Joshua; Steinhauser, Matthias; Wellmann, David: Completing the hadronic Higgs boson decay at order (\alpha_s^4) (2017)
  12. Gori, Stefania; Haber, Howard E.; Santos, Edward: High scale flavor alignment in two-Higgs doublet models and its phenomenology (2017)
  13. Mitev, Vladimir; Pomoni, Elli: Exact bremsstrahlung and effective couplings (2016)
  14. Bednyakov, A. V.: On the electroweak contribution to the matching of the strong coupling constant in the SM (2015)
  15. Beneke, M.; Maier, A.; Piclum, J.; Rauh, T.: The bottom-quark mass from non-relativistic sum rules at NNNLO (2015)
  16. Hollik, Wolfgang Gregor; Saldaña Salazar, Ulises Jesús: The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing (2015)
  17. Bakulev, Alexander P.; Khandramai, Vyacheslav L.: \textttFAPT: A \textttMathematicapackage for calculations in QCD fractional analytic perturbation theory (2013)
  18. Bednyakov, A. V.; Pikelner, A. F.; Velizhanin, V. N.: Yukawa coupling beta-functions in the standard model at three loops (2013)
  19. Mondéjar, J.; Rittinger, J.: Penguin diagrams in the charm sector in (K^+\to\pi^+\nu\bar\nu) (2013)
  20. Bierenbaum, Isabella; Czakon, Michał; Mitov, Alexander: The singular behavior of one-loop massive QCD amplitudes with one external soft gluon (2012)

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