A 3-3-1 model with right-handed neutrinos based on the $$\varDelta \left( 27\right) $$ Δ 27 family symmetry

Abstract

We present the first multiscalar singlet extension of the original 3-3-1 model with right-handed neutrinos, based on the (27) family symmetry, supplemented by the Z 4 ⊗ Z 8 ⊗ Z 14 flavor group, consistent with current low energy fermion flavor data. In the model under consideration, the light active neutrino masses are generated from a double seesaw mechanism and the observed pattern of charged fermion masses and quark mixing angles is caused by the breaking of the Δ (27) ⊗ Z 4 ⊗ Z 8 ⊗ Z 14 discrete group at very high energy. Our model has only 14 effective free parameters, which are fitted to reproduce the experimental values of the 18 physical observables in the quark and lepton sectors. The obtained physical observables for the quark sector agree with their experimental values, whereas those for the lepton sector also do, only for the inverted neutrino mass hierarchy. The normal neutrino mass hierarchy scenario of the model is disfavored by the neutrino oscillation experimental data. We find an effective Majorana neutrino mass parameter of neutrinoless double beta decay of m ββ = 22 meV, a leptonic Dirac CP violating phase of 34 • , and a Jarlskog invariant of about 10 −2 for the inverted neutrino mass spectrum.

A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern

“…To provide an explanation for the observed pattern of SM fermion masses and mixings, various 3-3-1 models with flavor symmetries [33][34][35][36][37][38][39][40][41][42][43][44][45][120][121][122][123] and radiative seesaw mechanisms [80,120,[124][125][126][127][128][129][130][131][132][133] have been proposed in the literature. However, some of them involve non renormalizable interactions [39,40,42,43,45], others are renormalizable but do not address the observed pattern of fermion masses and mixings due to the unexplained huge hierarchy among the Yukawa couplings [33, 35-38, 122, 123, 134] and others are only focused either in the quark mass hierarchy [34,128,130], or in the study of the neutrino sector [120, 124-127, 129, 132, 133, 135, 136], or only include the description of SM fermion mass hierarchy, without addressing the mixings in the fermion sector [131]. It is interesting…”

Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions

“…[54] for a review. Various models have been shown to describe the neutrino oscillation parameters within their 3σ range [55][56][57][58][59][60] using a variety of flavor symmetries such as A 5 [61][62][63][64][65], S 4 [66][67][68][69][70], A 4 [71][72][73][74][75][76][77], and Δ-groups such as Δð27Þ, Δð48Þ, Δð54Þ, Δð6n 2 Þ and Δð3n 2 Þ for n ∈ N [78][79][80][81][82][83][84][85][86][87]. Additional phenomena, such as leptogenesis, can be also be explained [88][89][90][91][92] in such models.…”

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

“…The models are only self-consistent if there exist exactly three generations of fermions as a result of the triangle gauge anomalies and QCD asymptotic freedom [229,414,433]. Moreover, they can host a dark matter candidate [230,423,[429][430][431][434][435][436][437][438][439][440][441][442][443][444][445], generate neutrino masses [295-299, 446, 447], among other things [448][449][450][451][452][453][454][455][456].…”