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

A model of neutrino mass and dark matter with large neutrinoless double beta decay