A natural realization of inverse seesaw model in a non-invertible selection rule

TL;DR

This paper introduces a natural inverse seesaw model utilizing a $Z_3$ Tambara-Yamagami symmetry, generating neutrino masses at one-loop level and exploring dark matter candidates, aligning with recent neutrino data.

Contribution

It presents a novel inverse seesaw framework with a $Z_3$ symmetry that forbids tree-level Majorana masses, which are generated radiatively, and discusses dark matter candidates within this setup.

Findings

Neutrino mass hierarchies fit experimental data

Dark matter candidates are identified within the model

Model successfully reproduces neutrino oscillation parameters

Abstract

We propose natural hierarchies among neutral fermions in a framework of inverse seesaw, imposing a $Z_3$ Tambara-Yamagami fusion rule which is applied to our phenomenology. Under the symmetry, the Majorana mass terms for $N_R$ and $N_L$ are forbidden at tree level. However they are generated at one-loop level where the symmetry is dynamically broken. In order to realize such loop corrections, we introduce neutral boson and fermion either of which can be an appropriate dark matter candidate. Finally, we show the best fit value of the neutrino sector for normal and inverted hierarchies referring recent experimental results.