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We show that the addition of real scalars (gauge singlets) to the StandardModel can both ameliorate the little hierarchy problem and provide realisticDark Matter candidates. To this end, the coupling of the new scalars to thestandard Higgs boson must be relatively strong and their mass should be in the1-3 TeV range, while the lowest cutoff of the (unspecified) UV completion mustbe >~ 5 TeV, depending on the Higgs boson mass and the number of singletspresent. The existence of the singlets also leads to realistic and surprisinglyreach neutrino physics. The resulting light neutrino mass spectrum and mixingangles are consistent with the constraints from the neutrino oscillations.

Pragmatic approach to the little hierarchy problem: the case for Dark Matter and neutrino physics