Singlet fermionic dark matter with Veltman conditions

Abstract

We reexamine a renormalizable model of a fermionic dark matter with a gauge singlet Dirac fermion and a real singlet scalar which can ameliorate the scalar mass hierarchy problem of the Standard Model (SM). Our model setup is the minimal extension of the SM for which a realistic dark matter (DM) candidate is provided and the cancellation of one-loop quadratic divergence to the scalar masses can be achieved by the Veltman condition (VC) simultaneously. This model extension, although renormalizable, can be considered as an effective low-energy theory valid up to cut-off energies about 10 TeV. We calculate the one-loop quadratic divergence contributions of the new scalar and fermionic DM singlets, and constrain the model parameters using the VC and the perturbative unitarity conditions. Taking into account the invisible Higgs decay measurement, we show the allowed region of new physics parameters satisfying the recent measurement of relic abundance. With the obtained parameter set, we predict the elastic scattering cross section of the new singlet fermion into target nuclei for a direct detection of the dark matter. We also perform the full analysis with arbitrary set of parameters without the VC as a comparison, and discuss the implication of the constraints by the VC in detail.

11 pages, 15 figures, title changed, discussion on running couplings added, journal version

References in corpus (8)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Results from a search for dark matter in the complete LUX exposure
• The minimal model of fermionic dark matter
• Effects of a Real Singlet Scalar on Veltman Condition
• On Naturalness of Scalar Fields and Standard Model
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Cited by in corpus (6)

• Conformal invariance and singlet fermionic dark matter
• Singlet Fermionic Dark Matter with Dark $Z$
• The hierarchy problem and the vacuum stability in two-scalar dark matter model
• Positronium Decays with Dark $Z$ and Fermionic Dark Matter
• Split fermionic WIMPs evade direct detection
• Reducing the Quadratic Divergence in the Higgs Mass Squared Without Top Partners