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Paper detail

Conditions for global minimum in the A4 symmetric 3HDM

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.

preprint2022arXivOpen access
Sergio CarroloJorge C. RomaoJoao P. Silva
hep-ph
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Sergio CarroloJorge C. RomaoJoao P. Silva

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