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arXiv · 2207.02928

Conditions for global minimum in the A4 symmetric 3HDM

Sergio Carrolo·Jorge C. Romao·Joao P. Silva
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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.

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Sergio Carrolo, Jorge C. Romao, Joao P. Silva. 2022-07-06. Conditions for global minimum in the A4 symmetric 3HDM. https://doi.org/10.1140/epjc%2Fs10052-022-10712-3

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