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We study the loop corrections to the scalar propagator and the fermionicself-energy for the mass dimension one fermionic dark matter with the Yukawainteraction. We find, in the former case, there is a non-vanishingLorentz-violating term while the later is Lorentz-invariant. Our study of thefermionic loop correction shows that unitarity demands the fermionic mass mustbe at least half of the bosonic mass and that the Lorentz-violating term makesa non-trivial correction to the bosonic propagator. We discuss what theseresults mean in the context of the Standard Model and the possibility ofbypassing the unitarity constraint. In the simplest scenario, within theframework of standard quantum field theory, by identifying the scalar boson tobe the Higgs boson with a mass of 125 GeV, the mass of the fermion must be atleast 62.5 GeV.

Constraints on mass dimension one fermionic dark matter from the Yukawa interaction