Simple A4 models for dark matter stability with texture zeros

Abstract

In a simple framework which naturally incorporates dark matter stability and neutrino phenomenology, we compute all the possible texture zeros which arise when the non-abelian flavor symmetry A4 is spontaneously broken to Z2. As a result, we obtain four textures with two vanishing matrix elements. Two of such textures predict a zero contribution to the neutrinoless double beta decay effective mass parameter at tree level, and as a one loop bound we get mee < 8 × 10 −2 meV. These are compatible with the normal ordering for the neutrino masses and the allowed range for the lightest neutrino mass is between mν min ∼ 3 meV and mν max ∼ 8 meV. Additionally we obtain dark matter stability linked to the way the flavor symmetry is broken, leaving a residual Z2 symmetry.

Phenomenological study of texture zeros in lepton mass matrices of minimal left-right symmetric model

“…Although our study is motivated from a phenomenological point of view, it is worth mentioning that the texture zeros in fermion mass matrices can have dynamical origin from flavour symmetries. See, for example, the scenarios proposed in [64][65][66][67][68][69][70][71][72][73][74] where discrete as well as continuous symmetries were considered to explain the texture zeros. In particular, the recent work [66] considered a different version of LRSM where charged fermions receive masses from a universal seesaw mechanism while neutrinos acquire masses at the radiative level.…”

Modular S3 symmetric radiative seesaw model

“…2 Another stabilization mechanism of DM candidate has been discussed in non-Abelian discrete symmetries in refs. [32][33][34].…”

Viable low-scale model with universal and inverse seesaw mechanisms

“…This group was used for the first time in Ref. [19] and subsequently used in [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] to provide a viable and predictive description of the SM fermion mass spectrum and mixing parameters.…”