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Conditions for global minimum in the A4 symmetric 3HDM

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arxiv 2207.02928 v1 pith:CBXHYEAE submitted 2022-07-06 hep-ph

Sergio Carrolo , Jorge C. Romao , Joao P. Silva This is my paper · ORCID
classification hep-ph
keywords directionsalongchargeconditionsglobalminimummodelsnumerical
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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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Cited by 1 Pith paper

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  1. Domain Walls from $\Sigma(36 \times 3)$, $\Delta(54)$ and $\Delta(27)$ potentials

    hep-ph 2026-03 conditional novelty 5.0 of 10

    Degenerate vacua of Δ(27)/Δ(54)/Σ(36×3) scalar potentials give rise to one or two distinct domain-wall types depending on which orbits merge under CP or enlarged symmetries.

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