Dark matter stability can result from a residual matter-parity symmetry, following naturally from the spontaneous breaking of the gauge symmetry. Here we explore this idea in the context of the SU(3)c ⊗ SU(3)L ⊗ U(1)X ⊗ U(1)N electroweak extension of the standard model. The key feature of our new scotogenic dark matter theory is the use of a triplet scalar boson with anti-symmetric Yukawa couplings. This naturally implies that one of the light neutrinos is massless and, as a result, there is a lower bound for the 0νββ decay rate.
I. INTRODUCTIONIn order to account for the existence of cosmological dark matter, we need new particles not present in the Standard Model (SM) of particle physics. Moreover, new symmetries capable of stabilising the corresponding candidate particle on cosmological scales are also required. Here we focus on the so-called Weakly Interacting Massive Particles, or WIMPs, as dark matter candidates. Within supersymmetric schemes, WIMP stability follows from having a conserved R-parity symmetry [1]. Our present construction does not rely on supersymmetry nor on the imposition of any ad hoc symmetry to stabilise dark matter. It is also a more complete theory setup, in the sense that it naturally generates neutrino masses as well. These arise radiatively, thanks to the exchange of new particles in the "dark" sector. The procedure is very well-motivated since neutrino masses are anyways necessary to account for neutrino oscillation data [2].Here we follow an alternative approach that naturally incorporates neutrino mass right from the beginning. This is provided by scotogenic dark matter schemes. These are "low-scale" models of neutrino mass [3] where dark matter emerges as a radiative mediator of neutrino mass generation. In this case, the symmetry stabilising dark matter is also responsible for the radiative origin of neutrino masses in a very elegant way [4]. Yet, in this case too, a dark matter stabilisation symmetry is introduced in an ad hoc manner. The need for such "dark" symmetry is a generic feature also of other scotogenic schemes, such as the generalization proposed in [5,6].Extending the SU(3) c ⊗ SU(2) L ⊗ U(1) Y gauge symmetry can provide a natural setting for a theory of dark matter where stabilisation can be automatic [7][8][9]. Such electroweak extensions involve the SU(3) L gauge symmetry, which also provides an "explanation" of the number of quark and lepton families from the anomaly cancellation requirement [10][11][12]. For recent papers using the SU(3) L gauge symmetry see . These theories can also, in