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

TL;DR

This paper introduces a new linear seesaw model utilizing a non-invertible selection rule and $ ext{Z}_3$ symmetry, generating Dirac masses at one-loop level and predicting observable phenomena like lepton flavor violation and dark matter.

Contribution

It presents a novel realization of the linear seesaw mechanism with a non-invertible symmetry and $ ext{Z}_3$ symmetry, including one-loop Dirac mass generation and rich phenomenology.

Findings

Dirac masses generated at one-loop level

Model predicts lepton flavor violations and non-unitarity effects

Dark matter candidate included in the phenomenology

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.