Lepton masses and mixing in a three-Higgs doublet model

Abstract

In the three-Higgs doublet model (3HDM) frame, we search for discrete flavour symmetries that give relations among the lepton masses and their mixing angles. We explore discreet non-Abelian groups of order less than 1035, treating neutrinos as Majorana or Dirac particles. Unlike the Standard Model, the 3HDM does not require the flavor symmetry to be broken. Despite the four free dynamic parameters available in the model, none of the groups fully predicts the lepton data. However, some of the scanned groups provide either the correct neutrino masses and mixing angles or the correct masses of the charged leptons. ∆( 96) is the smallest group compatible with the experimental data of neutrino masses and PMNS mixing. S4 is an approximate symmetry of Dirac neutrino mixing, with parameters staying about 3σ apart from the measured θ12, θ23, θ13 and δCP .

Discrete Flavor Symmetries and Lepton Masses and Mixings

“…In this context, basing on numerical approach, multi Higgs doublet models were examined which include two Higgs doublets (2HDM) [154] and three Higgs doublets (3HDM) [158].…”

Absolute neutrino mass scale and dark matter stability from flavour symmetry

“…The doublet H will be SM-like. Finally, for a more detailed analysis of the 3HDM scalar potential, see for example [58][59][60][61][62][63][64][65].…”