In this talk, I present a new mechanism for the generation of neutrino masses via dimension 7 operators: llHH(H*H)/M^3. This leads to new formula for the light neutrino masses, m_ u~v^4/M^3. This is distinct from the usual see-saw formulae: m_ u~v^2/M. The scale of new physics can naturally be at the TeV scale. Microscopic theory that generated d=7 operator has an isospin 3/2 Higgs multiplet Phi, which contains a triply charged Higgs boson with mass around ~TeV or less. These particles can be produced at the LHC (and possibly at the Tevatron) with distinctive multi-W and multi-lepton final states. For some choice of the parameter space, these particles can also be long-lived with the possibility of displaced vertices, or even escaping the detector. Their leptonic decay modes carry information about the nature of the neutrino mass hierarchy.
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