The little hierarchy problem for new physics just beyond the LHC

TL;DR

This paper explores minimal extensions to the standard model involving an inert scalar and fermions, addressing the little hierarchy problem, neutrino masses, gauge unification, and dark matter detection prospects.

Contribution

It introduces models with inert scalar and fermions that fix Higgs mass corrections and connect to neutrino masses, unification, and dark matter detection.

Findings

Finite one-loop corrections to Higgs mass are controlled.

Inert scalar could serve as dark matter candidate.

Direct detection cross section is within reach of future experiments.

Abstract

We discuss two possible extensions to the standard model in which an inert singlet scalar state that only interacts with the Higgs boson is added together with some fermions. In one model the fermions provide for a see-saw mechanism for the neutrino masses, in the other model for grand unification of the gauge couplings. Masses and interaction strengths are fixed by the requirement of controlling the finite one-loop corrections to the Higgs boson mass thus addressing the little hierarchy problem. The inert scalar could provide a viable dark matter candidate. Direct detection of this scalar singlet in nuclear scattering experiments is possible with a cross section within reach of future experiments.