Neutrino masses in a supersymmetric model with exotic right-handed neutrinos in global 𝒵3 ⊗ (B − L) symmetry

Abstract

We build a supersymmetric model with [Formula: see text] gauge symmetry, with a global [Formula: see text] symmetry. The [Formula: see text] symmetry is necessary to keep the proton stable at least at tree level. There is also a global [Formula: see text] symmetry, where [Formula: see text] and [Formula: see text] are the usual baryonic and leptonic numbers, respectively. We introduce three nonidentical right-handed neutrinos plus new scalars fields. After symmetry breaking, the right-handed neutrinos together with one left-handed neutrino get Majorana masses via the seesaw mechanism. The other two left-handed neutrinos get their Majorana masses at 1-loop level. We will also explain the mixing angle in the neutrino sector in agreement with the experimental data and we get several interesting candidates to the observed dark matter.