  We investigate the effect of fermionic electroweak multiplet dark matter
models on the stability of the electroweak vacuum using two-loop
renormalization group equations (RGEs) and one-loop matching conditions. Such a
treatment is crucial to obtain reliable conclusions, compared with one-loop
RGEs and tree-level matching conditions. In addition, we find that the
requirement of perturbativity up to the Planck scale would give strong and
almost mass-independent constraints on the Yukawa couplings in the dark sector.
We also evaluate these models via the idea of finite naturalness for the Higgs
mass fine-tuning issue.
