English

Geometric Minimization of Softly-Broken Potentials

High Energy Physics - Phenomenology 2022-06-09 v1

Abstract

We study the minimization of multi-Higgs models with symmetries that are softly-broken. The powerful method of geometric minimization enables analytic minimization of multi-Higgs models with large symmetries. When these symmetries are softly-broken, the method needs to be adapted. We propose a useful generalization that considers the effect of the soft-breaking terms to the quadratic part of the potential, by applying the procedure to restricted orbit spaces. We exemplify our novel methodology by finding and classifying the minima for an S4S_4 multi-Higgs model that is softly-broken with specific terms.

Keywords

Cite

@article{arxiv.2206.03577,
  title  = {Geometric Minimization of Softly-Broken Potentials},
  author = {Ivo de Medeiros Varzielas and Diogo Ivo},
  journal= {arXiv preprint arXiv:2206.03577},
  year   = {2022}
}

Comments

25 pages, 7 figures

R2 v1 2026-06-24T11:42:45.667Z