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.

Comments: 15 pages, 9 figures, 2 tables