The 3-3-1 model with inert scalar triplet

Understand

We show that the typical 3-3-1 models are only self-consistent if they contain interactions explicitly violating the lepton number.

• The 3-3-1 model with right-handed neutrinos can by itself work as an economical 3-3-1 model as a natural recognition of the above criteria while it also results an inert scalar triplet (\eta) responsible for dark matter.
• This is ensured by a Z_2 symmetry (assigned so that only \eta is odd while all other multiplets which perform the economical 3-3-1 model are even), which is not broken by the vacuum.
• The minimal 3-3-1 model can provide a dark matter by a similar realization.