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

A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin
2013 Journal of High Energy Physics  

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2013 pre-print arXiv:1210.6873v3 fatcat:dlqjnct2xzflvedljqvecpltji

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2013 accepted
arXiv:1210.6873v4 fatcat:yaskpuz2jvg5nmgzwlpnfassp4
2012 pre-print
arXiv:1210.6873v1 fatcat:strsrgrvoncfxklqyk222zfxwq
2013 pre-print
arXiv:1210.6873v2 fatcat:gnemvpw725abrceu233uqrdygy
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.
more » ... e of beta-functions of gauge-fixing parameters serves as a validity check of our final results.
doi:10.1007/jhep01(2013)017 fatcat:2coieyqh6vconakkbkl4km637i
DOAJ Multiple Versions
Citation

A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin. "Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops." Journal of High Energy Physics 2013.1 (2013)