Three-loop \beta-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
High Energy Physics - Phenomenology
2017-07-25 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1205.2892,
title = {Three-loop \beta-functions for top-Yukawa and the Higgs self-interaction in the Standard Model},
author = {K. G. Chetyrkin and M. F. Zoller},
journal= {arXiv preprint arXiv:1205.2892},
year = {2017}
}
Comments
22 pages, 7 figures. Few extra citations are added; the plots are improved. Results in computer readable form can be retrieved from http://www-ttp.particle.uni-karlsruhe.de/Progdata/ttp12/ttp12-012/