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Neutrino masses and mixing in A4 models with three Higgs doublets
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We study neutrino masses and mixing in the context of flavor models with A4 symmetry, three scalar doublets in the triplet representation, and three lepton families. We show that there is no representation assignment that yields a dimension-five mass operator consistent with experiment. We then consider a type-I seesaw with three heavy right-handed neutrinos, explaining in detail why it fails, and showing with a numerical example that agreement with the present neutrino oscillation data can be recovered with the inclusion of dimension-three heavy neutrino mass terms that break softly the A4 symmetry.
Forward citations
Cited by 2 Pith papers
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FCNC-free multi-Higgs-doublet models from broken family symmetries
Residual flavor symmetries enforce simultaneously diagonal Yukawa couplings across all Higgs doublets when they fully control fermion mixing, yielding a generalized Yukawa Alignment that is free of tree-level FCNC.
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Phenomenology of $keV$ sterile neutrino in minimal extended seesaw
A single keV sterile neutrino in the minimal extended seesaw with A4 flavor symmetry is scanned against 0νββ, dark matter, and leptogenesis constraints, and the normal neutrino mass ordering emerges as favored.
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