# Loop induced type-II seesaw model and GeV dark matter with $U(1)_{B-L}$ gauge symmetry

## TL;DR

This paper introduces a $U(1)_{B-L}$ gauge symmetry model where neutrino masses are generated via a one-loop induced Higgs triplet, and the lightest new fermion serves as a GeV-scale dark matter candidate.

## Contribution

The model uniquely combines $U(1)_{B-L}$ gauge symmetry with anomaly-free fermions, generating neutrino masses at one-loop and proposing a GeV-scale dark matter candidate.

## Key findings

- Dark matter mass is typically 1-10 GeV.
- Relic density of dark matter is analyzed.
- Model is consistent with anomaly cancellation.

## Abstract

We propose a model with $U(1)_{B-L}$ gauge symmetry and several new fermions in no conflict with anomaly cancellation where the neutrino masses are given by the vacuum expectation value of Higgs triplet induced at the one-loop level. The new fermions are odd under discrete $Z_2$ symmetry and the lightest one becomes dark matter candidate. We find that the mass of dark matter is typically $O(1)$-$O(10)$ GeV. Then relic density of the dark matter is discussed.