Abstract
A new model for tiny neutrino masses is proposed in the gauge theory of $SU(3)_C \otimes SU(3)_L \otimes U(1)_X$, where neutrino masses are generated via the quantum effect of new particles. In this model, the fermion content is taken to be minimal to realize the gauge anomaly cancellation, while the scalar sector is extended from the minimal 3-3-1 model to have an additional $SU(3)_L$ triplet field. After $SU(3)_L\otimes U(1)_X$ is broken into $SU(2)_L\otimes U(1)_Y$, the "Zee model" like diagrams are naturally induced, which contain sufficient lepton flavor violating interactions to reproduce current neutrino oscillation data. Furthermore, the remnant $Z_2$ symmetry appears after the electroweak symmetry breaking, which guarantees the stability of dark matter. It is confirmed that this model can satisfy current dark matter data. As an important prediction to test this model, productions and decays of doubly-charged scalar bosons at collider experiments are discussed in successful benchmark scenarios.
Highlights
The structure of the electroweak gauge symmetry SUð2ÞL ⊗ Uð1ÞY has been well established by various experiments
We have proposed a new model for the generation of tiny neutrino masses based on the 3-3-1 gauge symmetry within the minimal fermion content required for the gauge anomaly cancellation
The source for lepton number violation is obtained by extending the minimal Higgs sector of 3-3-1 models with an additional SUð3ÞL triplet scalar field
Summary
The structure of the electroweak gauge symmetry SUð2ÞL ⊗ Uð1ÞY has been well established by various experiments. Scenarios with radiative generation of neutrino masses can be considered in the framework of 3-3-1-1 models [14,15] by changing Uð1ÞN charges for three right-handed neutrinos to avoid the tree level mass term while keeping the dark matter candidates This model is a bit complicated, because many additional particles are further required for the anomaly cancellation and for making all sterile neutrinos massive [15]. We construct a new model with the 3-3-1 gauge symmetry in order to explain tiny neutrino masses, dark matter, and generation of chiral fermions simultaneously. Our model includes additional sources of LFV interactions, so that we can explain current neutrino data Another interesting feature of our model is the appearance of an unbroken discrete Z2 parity, which guarantees the stability of dark matter candidate, i.e., the lightest neutral particle with a Z2-odd charge. We discuss the Higgs potential, kinetic terms for scalar fields, and Yukawa interaction terms in the following subsections in order
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