Model Bulding for the Neutrino Sector and Cold Dark Matter

TL;DR

This paper proposes a new neutrino mass model using a dihedral flavor symmetry, achieving maximal atmospheric neutrino mixing and constraining dark matter candidate masses within a specific range.

Contribution

It introduces a novel neutrino mass model with a dihedral flavor symmetry, explaining neutrino mixing and constraining dark matter candidate masses.

Findings

Maximal atmospheric neutrino mixing achieved.

Dark matter candidate masses constrained between 230-750 GeV.

Inverted neutrino mass hierarchy favored.

Abstract

It is now clear that the masses of the neutrino sector are much lighter than those of the other three sectors.There are many attempts to explain the neutrino masses radiatively by means of inert Higgses, which don't have vacuum expectation values. Then one can discuss cold dark matter candidates, because of no needing so heavy particles and having a $Z_2$ parity symmetry corresponding to the R-parity symmetry of the MSSM. The most famous work would be the Zee model. Recently a new type model along this line of thought was proposed by E. Ma. We introduce a flavor symmetry based on a dihedral group $D_6$ to constrain the Yukawa sector. For the neutrino sector, we find that the maximal mixing of atmospheric neutrinos is realized, it can also be shown that only an inverted mass spectrum, the value of $|V_{MNS_{13}}|$ is 0.0034 and so on. For the fermionic CDM candidates, we find that the mass of the CDM and the inert Higgs should be larger than about 230 and 300 GeV, respectively. If we restrict ourselves to a perturbative regime, they should be lighter than about 750 GeV.