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Stability and symmetry breaking in a three Higgs-boson doublet model with lepton family symmetry O(2)xZ2
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Motivated by the neutrino data, an extension of the Standard Model with three Higgs-boson doublets has been proposed. Imposing an O(2) x Z2 family symmetry, a neutrino mixing matrix with theta23 = pi/4 and theta13 = 0 appears in a natural way. Even though these values for the mixing matrix do not follow the recent experimental constraints, they are nevertheless a good approximation. We study the Higgs potential of this model in detail. We apply recent methods which allow for the study of any three-Higgs-boson doublet model. It turns out that for a variety of parameters the potential is stable, has the correct electroweak symmetry breaking, and gives the correct vacuum expectation value.
Forward citations
Cited by 2 Pith papers
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The Two-Higgs Doublet Model beyond tree-level: A gauge-invariant formalism
The bilinear formalism of the two-Higgs-doublet model is extended to one-loop order, yielding gauge-invariant expressions for the quantum-corrected scalar masses and vacuum shift.
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Generalised P and CP transformations in the 3-Higgs-doublet model
Generalized P and CP transformations of order two in the three-Higgs-doublet model form two equivalence classes for P and a single equivalence class for CP.
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