# Dark Matter and Baryogenesis from Non-Abelian Gauged Lepton Number

## TL;DR

This paper introduces a model extending the Standard Model with a non-Abelian gauge symmetry that explains baryogenesis through leptogenesis and predicts a dark matter candidate linked to leptons.

## Contribution

The paper presents a novel gauge symmetry extension with $SU(2)_ ext{l}$, providing mechanisms for baryogenesis and dark matter within a unified framework.

## Key findings

- Leptogenesis is achieved via $SU(2)_ ext{l}$ instantons.
- The model predicts a dark matter candidate as an $SU(2)_ ext{l}$ partner of the right-handed neutrino.
- Extended symmetry breaks to the Standard Model at TeV scale.

## Abstract

A simple model is constructed based on the gauge symmetry $SU(3)_c \times SU(2)_L \times U(1)_Y \times SU(2)_\ell$, with only the leptons transforming nontrivially under $SU(2)_\ell$. The extended symmetry is broken down to the Standard Model gauge group at TeV-scale energies. We show that this model provides a mechanism for baryogenesis via leptogenesis in which the lepton number asymmetry is generated by $SU(2)_\ell$ instantons. The theory also contains a dark matter candidate - the $SU(2)_\ell$ partner of the right-handed neutrino.