Abstract
We analytically compute the dominant contributions to the β-functions for the top-Yukawa coupling, the strong coupling and the Higgs self-coupling as well as the anomalous dimensions of the scalar, gluon and quark fields in the unbroken phase of the Standard Model at three-loop level. These are mainly the QCD and top-Yukawa corrections. The contributions from the Higgs self-interaction which are negligible for the running of the top- Yukawa and the strong coupling but important for the running of the Higgs self-coupling are also evaluated.
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ArXiv ePrint: 1205.2892
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Chetyrkin, K.G., Zoller, M.F. Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the standard model. J. High Energ. Phys. 2012, 33 (2012). https://doi.org/10.1007/JHEP06(2012)033
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DOI: https://doi.org/10.1007/JHEP06(2012)033