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arXiv · 1205.2892

Three-loop \beta-functions for top-Yukawa and the Higgs self-interaction in the Standard Model

K. G. Chetyrkin·M. F. Zoller
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Abstract

We analytically compute the dominant contributions to the \beta-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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K. G. Chetyrkin, M. F. Zoller. 2012-05-13. Three-loop \beta-functions for top-Yukawa and the Higgs self-interaction in the Standard Model. https://doi.org/10.1007/jhep06(2012)033

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