  We propose a new type of radiative neutrino model with a local hidden $U(1)$
symmetry, in which neutrino masses are induced at the three loop level, and
discuss the muon anomalous magnetic moment, and dark matter candidates therein.
By allowing the hypercharges larger than 3/2 for new fields that contribute to
the neutrino masses and making them decay into the standard model fields
appropriately, we introduce a lot of new particles with multiple electrical
charges in a natural manner. As a by-product, we can accommodate the 750 GeV
diphoton excess depending on the hypercharge quantum numbers of new fields
responsible for the neutrino masses at the three loop level.
