English

Generalized CP Symmetries in Three-Higgs-Doublet Models

High Energy Physics - Phenomenology 2024-07-16 v1

Abstract

We study the scalar and Yukawa sectors of three Higgs doublets models with a generalized CP symmetry. We show that there are only four classes of scalar potentials, merely one more than in two Higgs doublet models (2HDM). In 2HDM with generalized CP symmetries extended to the Yukawa sector, there are only two possible cases: the usual CP, with 18 real Yukawa couplings; and a minimal generalized CP model, with 12 real Yukawa parameters. In contrast, with three Higgs there is a rich variety of allowed models. We classify all possible Yukawa textures, showing that there are 40 possibilities, several of which have only 10 real Yukawa couplings.

Keywords

Cite

@article{arxiv.2407.09615,
  title  = {Generalized CP Symmetries in Three-Higgs-Doublet Models},
  author = {Iris Bree and Duarte D. Correia and Joao P. Silva},
  journal= {arXiv preprint arXiv:2407.09615},
  year   = {2024}
}

Comments

42 pages, Latex

R2 v1 2026-06-28T17:39:16.054Z