Abstract
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.
Highlights
The discovery of the Higgs boson in 2012 at the Large Hadron Collider (LHC) [1,2] confirms the particle content of the standard model (SM) and the validity of the BroutEnglert-Higgs mechanism
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
We focus on a class of fermionic electroweak multiplet dark matter (FEMDM) models which involve a dark sector with more than one fermionic SUð2ÞL multiplet
Summary
The discovery of the Higgs boson in 2012 at the Large Hadron Collider (LHC) [1,2] confirms the particle content of the standard model (SM) and the validity of the BroutEnglert-Higgs mechanism. Note that some papers in the literature have studied the above effects utilizing one-loop or two-loop RGEs, but they concentrate on different models, such as singlet extensions [4,41,44,45,46,47], triplet extensions [3,6], two Higgs doublet models [48,49,50,51,52,53,54], and so on When it comes to the initial values of running parameters, only the tree level matching is considered in these works. In the SM sector, the quantities of interests are the quadratic and quartic couplings in the Higgs potential m2 and λ, the vacuum expectation value v, the top Yukawa coupling yt, the SUð1ÞL and Uð1ÞY gauge couplings g2 and gY These parameters can be connected with physical observables using the above strategy. More detailed derivations and even two-loop matching conditions can be found in Refs. [5,69,70]
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