Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops

• Published in: The journal of high energy physics Vol. 2013; no. 1; pp. 1 - 23
• Main Authors: Bednyakov, A. V., Pikelner, A. F., Velizhanin, V. N.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01-01-2013; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Elementary Particles; Gages; Gauges; High energy physics; Joining; Mathematical models; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; Standard model (particle physics); String Theory; Standard Model; Renormalization Group
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2013)017

A
bstract
We present the results for three-loop gauge field anomalous dimensions in the SM calculated in the background field gauge within the unbroken phase of the model. The results are valid for the general background field gauge parameterized by three independent parameters. Both quantum and background fields are considered. The former are used to find three-loop anomalous dimensions for the gauge-fixing parameters, and the latter allow one to obtain the three-loop SM gauge beta-functions. Independence of beta-functions of gauge-fixing parameters serves as a validity check of our final results.