  We propose a new type of radiative neutrino model with global hidden $U(1)$
symmetry, in which neutrino masses are induced at the four loop level. Then we
discuss the muon anomalous magnetic moment to solve the discrepancy between
observation and the standard model prediction, and estimate the relic density
of a fermion or boson DM candidate in the model. We also discuss the diphoton
resonance $R$ by considering a process $pp \to R \to \gamma \gamma$ as a
possible signal of our model.
