Two-loop Radiative Corrections to Neutrino Masses in $SU(3)_L \times U(1)_N$ Gauge Models

Abstract

We have constructed two $SU(3)_L \times U(1)_N$ gauge models with the $L^\prime = L_e-L_μ-L_τ$ symmetry, which accommodate tiny neutrino masses generated by one-loop and two-loop radiative effects. The heavy neutral leptons and heavy charged leptons are employed to specify the lepton triplets in $SU(3)_L$, respectively, accompanied by ($ϕ^0$, $ϕ^-$, $h^+$) and ($ϕ^+$, $ϕ^0$, $h^+$), where $ϕ$ stands for the standard Higgs scalar and $h^+$ is a key ingredient for radiative mechanisms. From our numerical calculations, we find that both our models are relevant to yield the VO solution to the solar neutrino problem.