English

Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order

High Energy Physics - Phenomenology 2020-04-23 v2

Abstract

We compute the beta functions for the three gauge couplings and the Yukawa matrices of a general two-Higgs-doublet model in the modified minimal subtraction scheme to three loops. The calculations are performed using Lorenz gauge in the unbroken phase. We discuss in detail the occurence of poles in anomalous dimensions and propose practical prescriptions to avoid them. We provide explicit results for the often used Z2\mathbb{Z}_2-symmetric versions of the two-Higgs-doublet model of type I, II, X and Y. Furthermore, we provide the first independent cross-check of the three-loop Yukawa coupling beta functions of the Standard Model.

Keywords

Cite

@article{arxiv.1712.06614,
  title  = {Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order},
  author = {Florian Herren and Luminita Mihaila and Matthias Steinhauser},
  journal= {arXiv preprint arXiv:1712.06614},
  year   = {2020}
}

Comments

29 pages, 2 figures; v2: typos in eqs. (44) and (45) fixed