Gauge coupling beta functions to four-loop order in the Standard Model

Abstract

We compute the beta functions of the three Standard Model gauge couplings to four-loop order in the modified minimal subtraction scheme. At this order a proper definition of ${\gamma }_5$ in $D=4-2\epsilon$ space-time dimensions is required; however, in our calculation we determine the ${\gamma }_5$-dependent terms by exploiting relations with beta function coefficients at lower loop orders.

6 pages, 2 figures

References in corpus (6)

• The five-loop beta function of Yang-Mills theory with fermions
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Five-loop renormalisation of QCD in covariant gauges
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Three-loop SM beta-functions for matrix Yukawa couplings
• Fermion Traces Without Evanescence