Multiple Point Principle of the Standard Model with Scalar Singlet Dark Matter and Right Handed Neutrinos

Abstract

We consider the multiple point principle (MPP) of the Standard Model (SM) with the scalar singlet Dark Matter (DM) and three heavy right-handed neutrinos at the scale where the beta function ${\beta }_{\lambda }$ of the effective Higgs self coupling ${\lambda }_{\text{eff}}$ becomes zero. We make the two-loop analysis and find that the top quark mass $M_t$ and the Higgs portal coupling $\kappa$ are strongly related each other. One of the good points in this model is that the larger $M_{t}1mm(\gtrsim 171\text{GeV})$ is allowed. This fact is consistent with the recent experimental value \cite{ATLAS:2014wva} $M_t=173.34\pm 0.76$ GeV, which corresponds to the DM mass $7691mm\text{GeV}\le m_{\text{DM}}\le 10531mm\text{GeV}$.

Comments: 16 pages, 4 figures; references added, Version to appear in PTEP(v2)