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

Anomalous dimensions of gauge fields and gauge coupling beta-functions in the standard model at three loops
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2013Embargo end date: 01 Jan 2012 English Publisher:Springer Science and Business Media LLCJournal:Journal of High Energy Physics, volume 2,013 (eissn: 1029-8479, Copyright policy )
Authors: Bednyakov, A. V.; Pikelner, A. F.; Velizhanin, V. N.;

doi: 10.1007/jhep01(2013)017 , 10.48550/arxiv.1210.6873

arXiv: 1210.6873

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

Abstract

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.

23 pages, self-coupling normalization fixed, anc files corrected accordingly

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Keywords

Renormalization group methods applied to problems in quantum field theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), standard model, FOS: Physical sciences, Model quantum field theories, renormalization group

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
50
Top 10%
Top 10%
Top 10%
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