A novel realization of linear seesaw model in a non-invertible selection rule with the assistance of $\mathbb Z_3$ symmetry

Abstract

We propose a novel realization of linear seesaw model in a non-invertible selection rule with the assistance of $\mathbb Z_3$ symmetry. In our framework, Dirac mass matrices are generated at one-loop level, dynamically breaking the non-invertible symmetry while the symmetry is invariant under the tree-level. In addition to the active neutrino masses, the model exhibits rich and testable phenomenology such as non-unitarity bound, lepton flavor violations, lepton anomalous magnetic moment, and dark matter candidate. After describing our model, we carry out numerical analysis and show some results for our physical parameters.

Figures (9)

• Figure 1: One-loop diagrams for the Dirac mass matrices, $m_D$ (left) and $m'_D$ (right).
• Figure 2: Allowed regions of $m_\eta$ and $m_{S_0}$ to satisfy all the conditions which we discussed above, where red plots do not satisfy $\sum_i D_i\le120$ meV.
• Figure 3: Values of LFVs for a given DM mass. The color legend is the same as the one of Fig. \ref{['fig:nh1']}.
• Figure 4: Prediction of lepton $g-2$ for a given DM mass. The color legend is the same as the one of Fig. \ref{['fig:nh1']}.
• Figure 5: Predictions related to active neutrino masses where the color legend is the same as the one of Fig. \ref{['fig:nh1']}. The yellow region represents the parameter space consistent with the Nufit 6.0 global fit.