Three-loop neutrino masses via new massive gauge bosons from $E_6$ GUT

We propose an $SU(3{)}_C\times SU(2{)}_L\times SU(2{)}_N\times U(1{)}_Y$ model arising from $E_6$ grand unified theory. We show that the tiny neutrino masses in this model can be generated at the three-loop involving the $SU(2{)}_N$ gauge bosons. With Yukawa couplings around 0.01 or larger and TeV-scale $SU(2{)}_N$ gauge bosons, we show that the neutrino oscillation data can be explained naturally by presenting a concrete benchmark set of input parameters. All new particles are around the TeV scale. Thus our model can be tested at the ongoing/future collider experiments.