Three-Higgs-doublet model under A4 symmetry implies alignment

Abstract

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

17 pages, v2: References added, some changes in text, to appear in JHEP

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• Relaxed constraints on the heavy scalar masses in 2HDM
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• Bounded-from-below conditions for $A_4$-symmetric 3HDM
• Conditions for global minimum in the A4 symmetric 3HDM
• Constrained Neutrino Mass Matrix and Majorana Phases
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Alignment Limit in 2HDM: Robustness put to test
• Ameliorating the popular lepton mixings with A4 symmetry: A see-saw model for realistic neutrino masses and mixing
• Type-I thermal leptogenesis in $Z_3$-symmetric three Higgs doublet model
• Generalised P and CP transformations in the 3-Higgs-doublet model