  We propose a model where neutrino masses are generated at three loop order
but neutrinoless double beta decay occurs at one loop. Thus we can have large
neutrinoless double beta decay observable in the future experiments even when
the neutrino masses are very small. The model receives strong constraints from
the neutrino data and lepton flavor violating decays, which substantially
reduces the number of free parameters. Our model also opens up the possibility
of having several new scalars below the TeV regime, which can be explored at
the collider experiments. Additionally, our model also has an unbroken $Z_2$
symmetry which allows us to identify a viable Dark Matter candidate.
