Naive solution of the little hierarchy problem and its physical consequences

TL;DR

Adding gauge-singlet scalars to the Standard Model can address the little hierarchy problem and serve as Dark Matter candidates, with implications for neutrino masses and mixing.

Contribution

The paper proposes a simple extension of the Standard Model with singlet scalars that alleviates the hierarchy problem and explains Dark Matter.

Findings

Scalar masses in the 1-3 TeV range

Cutoff scale above 5 TeV depending on parameters

Neutrino mixing consistent with tri-bimaximal scenario

Abstract

We argue that adding gauge-singlet real scalars to the Standard Model can both ameliorate the little hierarchy problem and provide a realistic source of Dark Matter. Masses of the scalars should be in the 1-3 TeV range, while the lowest cutoff of the (unspecified) UV completion of the model must be ~> 5 TeV, depending on the Higgs boson mass and the number of singlets present. The scalars couple to the Majorana mass term for right-handed neutrinos implying one massless neutrino. The resulting mixing angles are consistent with the tri-bimaximal mixing scenario.