Dark Matter in Classically Scale-Invariant Two Singlets Standard Model

Abstract

We consider a model where two new scalars are introduced in the standard model, assuming classical scale invariance. In this model the scale invariance is broken by quantum corrections and one of the new scalars acquires non-zero vacuum expectation value (VEV), which induces the electroweak symmetry breaking in the standard model, and the other scalar becomes dark matter. It is shown that TeV scale dark matter is realized, independent of the value of the other scalar's VEV. The impact of the new scalars on the Higgs potential is also discussed. The Higgs potential is stabilized when the Higgs mass is over ~120 GeV.

Figures (1)

• Figure 1: Masses of $s_a$, $s_b$ and $\phi_2$ (left vertical axis) and $\kappa_{12}$ (right vertical axis) as the function of $\kappa_{H2}(\mu=m_{\phi_2})$. Here we take $\mu_h(t_v)=130~{\rm GeV}$ and $|\kappa_{H1}(t_v)|=10^{-5}$ (left panel), $10^{-8}$ (right panel). Light green shaded region shows that the lightest scalar becomes tachyon, while in dark purple shaded region $\kappa_{H2}$ has Landau pole.