Dark Matter and Baryogenesis from Non-Abelian Gauged Lepton Number

Understand

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.