Abstract
We study the effective potential and the Renormalization Group(RG) improvement to the effective potential of Higgs boson in a singlet-doublet fermion dark matter extension of the Standard Model(SM), and in general singlet-doublet fermion extension models with several copies of doublet fermions or singlet fermions. We study the stability of the electroweak vacuum with the RG improved effective potential in these models beyond the SM. We study the decay of the electroweak vacuum using the RG improved effective potential in these models beyond the SM. In this study we consider the quantum correction to the kinetic term in the effective action and consider the RG improvement of the kinetic term. Combining all these effects, we find that the decay rate of the false vacuum is slightly changed when calculated using the RG improved effective action in the singlet-doublet fermion dark matter model. In general singlet-doublet fermion extension models, we find that the presence of several copies of doublet fermions can make the electroweak vacuum stable if the new Yukawa couplings are not large. If the new Yukawa couplings are large, the electroweak vacuum can be turned into metastable or unstable again by the presence of extra fermions.
Highlights
Quantum contribution to the effective potential is important to understand the properties of the scalar field, e.g., the property of the ground state and the behavior at large energy scale
After taking all these effects into account we find that the false vacuum decay rate is just slightly changed using the renormalization group (RG)-improved effective action in the singlet-doublet fermion dark matter (SDFDM) model, the RG effective potential is significantly different from the tree-level form of the Higgs potential with running quartic self-coupling
To study the vacuum stability of a model at high energy scale, we need to know the value of coupling constants at low energy scale and run them to the Plank scale according to RG equation (RGE)
Summary
Quantum contribution to the effective potential is important to understand the properties of the scalar field, e.g., the property of the ground state and the behavior at large energy scale. We study the quantum contribution to the kinetic term in the effective action in this model beyond the SM and consider the RG improvement of the kinetic term After taking all these effects into account we find that the false vacuum decay rate is just slightly changed using the RG-improved effective action in the SDFDM model, the RG effective potential is significantly different from the tree-level form of the Higgs potential with running quartic self-coupling. We perform these analyses in general singlet-doublet fermion extension models in which several copies of singlet fermions or.
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