On the four-loop strong coupling beta-function in the SM

Abstract

In the talk the leading four-loop contribution to the beta-function of the strong coupling in the SM is discussed. Some details of calculation techniques are provided. Special attention is paid to the ambiguity due to utilized ${\gamma }_5$ treatment and a particular prescription with anticommuting ${\gamma }_5$ is advocated. As a by-product of our computation the four-loop beta-function in QCD with "gluino" is also obtained.

6 pages, 2 figures, submitted to Proceedings of 19th International Seminar on High Energy Physics "QUARKS-2016", Pushkin, Russia, May-June, 2016

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Cited by in corpus (5)

• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• The $\{\beta \}$-expansion formalism in perturbative QCD and its extension
• The Standard Model at 200 GeV
• Three-loop QCD corrections to the electroweak boson masses
• On a realization of $\{\beta \}$-expansion in QCD