Nonzeroθ13linking to dark matter from non-Abelian discrete flavor model in radiative seesaw model

Abstract

We propose a new scenario in a radiative seesaw model based on ${A}_{4}$ flavor symmetry. In this model, we explore a possibility of linking nonzero ${\ensuremath{\theta}}_{13}$ to dark matter. And we analyze the lepton sector to predict the observed neutrinos and mixings, especially obtaining a lower bound of ${\ensuremath{\theta}}_{13}\ensuremath{\gtrsim}3.5\ifmmode^\circ\else\textdegree\fi{}$. We show that the nonzero ${\ensuremath{\theta}}_{13}$ is correlated with our heavy Majorana type of dark matter. Also we predict that the mass be $\mathcal{O}(1--10)\text{ }\text{ }\mathrm{TeV}$, as a result of analyzing the Wilkinson-Microwave-Anisotropy-Probe and lepton flavor violation.