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A model with three scalar doublets can be conveniently accommodated within anA4 symmetric framework. The A4 symmetry permits only a restricted form for thescalar potential. We show that for the global minima of this potentialalignment follows as a natural consequence. We also verify that in every casepositivity and unitarity constraints are satisfactorily met.

Three-Higgs-doublet model under A4 symmetry implies alignment