Conditions for global minimum in the A4 symmetric 3HDM
High Energy Physics - Phenomenology
2022-09-14 v1
Abstract
There has been a great interest in three Higgs doublet models (3HDM) symmetric under an exact A4 symmetry. We provide the complete analytic necessary and sufficient conditions for a point to be the global minimum along the neutral directions in such models, discussing many of the subtleties involved. We also present a number of numerical examples, to highlight those issues. We then turn to the directions which break electric charge, presenting a safe analytical sufficient condition for bounded from below (BFB) potentials. Based on extensive numerical simulations, we discuss one conjecture on BFB along charge breaking directions.
Keywords
Cite
@article{arxiv.2207.02928,
title = {Conditions for global minimum in the A4 symmetric 3HDM},
author = {Sergio Carrolo and Jorge C. Romao and Joao P. Silva},
journal= {arXiv preprint arXiv:2207.02928},
year = {2022}
}
Comments
Latex, 18 pages