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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>S</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math> -inspired three-Higgs-doublet models: A class with a complex vacuum
In this paper we analyze in detail an ${S}_{3}$-symmetric three-Higgs-doublet model with a specific vacuum configuration. This analysis allows us to illustrate important features of models with several Higgs doublets, such as the possibility of having spontaneous $CP$ violation. We start with a real potential and pick a particularly interesting …