On a possible relationship between lepton mixing and the stability of dark matter

Abstract

I comment on the proposal that the stability of dark matter may be due to an unbroken Z_2 symmetry contained in the partially broken lepton flavour symmetry group. I remark that (1) there is no Z_2 symmetry apparent in the lepton mass spectrum and in lepton mixing, (2) predictive models of this type may be constructed by using a lepton flavour symmetry group with three inequivalent singlets, to which the three left-handed-lepton gauge-SU(2) doublets are assigned, and (3) some predictions for the lepton masses and mixings are likely to be altered by radiative contributions to the neutrino mass matrix. I construct two models of this type in which the conserved Z_2 originates in a lepton flavour symmetry group D_4.

13 pages

References in corpus (4)

• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Discrete dark matter
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Neutrino phenomenology and stable dark matter with A4

Cited by in corpus (7)

• Models with radiative neutrino masses and viable dark matter candidates
• Neutrino masses and mixing: a flavour symmetry roadmap
• Dark matter within the minimal flavour violation ansatz
• Predictive Discrete Dark Matter Model
• Symmetries for the 4HDM: extensions of cyclic groups
• Texture-zero model for the lepton mass matrices
• Five models for lepton mixing