Abstract
We study a model of neutrino and dark matter within the framework of a minimal extended seesaw. This framework is based on A4 flavor symmetry along with the discrete Z4 symmetry to stabilize the dark matter and construct desired mass matrices for neutrino mass. We use a non-trivial Dirac mass matrix with broken μ − τ symmetry to generate the leptonic mixing. A non-degenerate mass structure for right-handed neutrinos is considered to verify the observed baryon asymmetry of the Universe via the mechanism of thermal Leptogenesis. The scalar sector is also studied in great detail for a multi-Higgs doublet scenario, considering the lightest Z4-odd as a viable dark matter candidate. A significant impact on the region of DM parameter space, as well as in the fermionic sector, are found in the presence of extra scalar particles.
Highlights
Keeping these bounds in mind, we study a point like weakly interacting massive particles’ (WIMP) dark matter candidate with a mass range in between 40–1000 GeV (can be reached upto O(100) TeV depending on the parameter space)
We explored a A4 based flavor model along with Z4 discrete symmetry to establish tiny active neutrino mass
The generation of non-zero reactor mixing angle (θ13) and simultaneously carried out multi Higgs doublet framework where one of the lightest odd particles behaves as DM candidate
Summary
Discrete flavor symmetries like A4, S4 [44,45,46,47] along with Zn (n≥ 2 is always an integer) are considered as intrinsic part of model building in particle physics. The triplet flavons ζ, φ and two singlets ξ and ξ break the A4 flavor symmetry by acquiring VEVs at large scale in the suitable directions.. The mass scale of the flavon ξ and the RH particle νR3 are too heavy in comparison to the SU(2) doublet, φ3. As φ3 is a Z4 odd field, it doesn’t couple with any SM fields, and so the lightest neutral doublet does not decay to any SM particle directly. The lifetime, in this case, is much greater than 1060 s. The lightest neutral particle of φ3 is stable, and it can serve as a viable cold-WIMP dark matter candidate
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