Scotogenesis in Hybrid Textures of Neutrino Mass Matrix and Neutrinoless Double Beta Decay

Abstract

We study the connection between dark matter (DM) and neutrinoless double beta ($0\hat{I}½{\hat{I}}^2{\hat{I}}^2$) decay in a scotogenic model with hybrid texture in the neutrino mass matrix. Characteristically, the framework allows to write all the non-zero elements of the mass matrix proportional to effective Majorana mass $\left|M_{ee}\right|$. The overall scale of the neutrino mass is found to be governed by non-zero $\left|M_{ee}\right|$. We have obtained interesting correlations of relic density of DM($\hat{I}\text{c◯}{h}^2$) with DM mass $M_1$ and $\left|M_{ee}\right|$. Using experimental value of DM relic density($\hat{I}\text{c◯}{h}^2$), the DM mass $M_1$, is found to be $\mathcal{O}$(1TeV) which is within reach of collider experiments. Specifically, for all five hybrid textures, the range of upper bound on DM mass $M_1$ is found to be ($2.27$-$5.31$)TeV. Another interesting feature of the model is the existence of lower bound on $|M_{ee}|$ for all allowed hybrid textures except texture $T_5$ which can be probed in current and future $0\hat{I}½{\hat{I}}^2{\hat{I}}^2$ decay experiments. With high sensitivities, these experiments shall establish the theoretical status of the proposed model. For example, the non-observation of $0\hat{I}½{\hat{I}}^2{\hat{I}}^2$ decay down to the sensitivity $\mathcal{O}(0.03)$eV will refute $T_3$ hybrid texture.

15 pages, 2 figures