Fermion masses and mixings and dark matter constraints in a model with radiative seesaw mechanism

• Published in: The journal of high energy physics Vol. 2018; no. 5; pp. 1 - 25
• Main Authors: Bernal, Nicolás, Cárcamo Hernández, A. E., de Medeiros Varzielas, Ivo, Kovalenko, Sergey
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018; Springer Nature B.V; Springer; SpringerOpen
• Subjects: Beta decay; Beyond Standard Model; Classical and Quantum Gravitation; Constraint modelling; Dark matter; Discrete Symmetries; Elementary Particles; High energy physics; High Energy Physics - Phenomenology; Leptons; Mass matrix; Neutrino Physics; Neutrinos; Physics; Physics and Astronomy; Prediction models; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quark Masses and SM Parameters; Quarks; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Symmetry; Weakly interacting massive particles; Discrete Symmetries; Quark Masses and SM Parameters; Neutrino Physics; Beyond Standard Model; phase: CP; potential: scalar; new physics; fermion: dark matter; fermion: mass; dark matter: scalar; neutrino: mixing; Cabibbo angle; neutrino: mass: hierarchy; seesaw model; symmetry: family; WIMP; numerical calculations; texture; double-beta decay: (0neutrino); quark: mixing; neutrino: Majorana; CP: violation; lepton: mixing; neutrino: mass; quark: mass; lepton: mass; fermion: mixing
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP05(2018)053

A bstract We formulate a predictive model of fermion masses and mixings based on a Δ(27) family symmetry. In the quark sector the model leads to the viable mixing inspired texture where the Cabibbo angle comes from the down quark sector and the other angles come from both up and down quark sectors. In the lepton sector the model generates a predictive structure for charged leptons and, after radiative seesaw, an effective neutrino mass matrix with only one real and one complex parameter. We carry out a detailed analysis of the predictions in the lepton sector, where the model is only viable for inverted neutrino mass hierarchy, predicting a strict correlation between θ 23 and θ 13 . We show a benchmark point that leads to the best-fit values of θ 12 , θ 13 , predicting a specific sin 2 θ 23 ≃ 0.51 (within the 3 σ range), a leptonic CP-violating Dirac phase δ ≃ 281.6° and for neutrinoless double-beta decay m ee ≃ 41.3 meV. We turn then to an analysis of the dark matter candidates in the model, which are stabilized by an unbroken ℤ 2 symmetry. We discuss the possibility of scalar dark matter, which can generate the observed abundance through the Higgs portal by the standard WIMP mechanism. An interesting possibility arises if the lightest heavy Majorana neutrino is the lightest ℤ 2 -odd particle. The model can produce a viable fermionic dark matter candidate, but only as a feebly interacting massive particle (FIMP), with the smallness of the coupling to the visible sector protected by a symmetry and directly related to the smallness of the light neutrino masses.