Multiple point principle of the Standard Model with scalar singlet dark matter and right-handed neutrinos

K Kawana

doi:10.1093/ptep/ptv006

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} $M_{t}=173.34\pm0.76$ GeV, which corresponds to the DM mass $769{1mm}\text{GeV}\leq m_{\text{DM}}\leq 1053 {1mm}\text{GeV}$.

Highlights

The discovery of the Higgs-like particle and its mass [1,2] is a very meaningful result for the StandardModel (SM)
One question is whether the multiple point principle (MPP) can be realized exactly, namely, if λ(β ) = βλ (β ) = λDM (β ) = βλDM (β ) = κ(β ) = βκ (β ) = 0 (B1)
Note that, if κ0 0.3, β becomes less than MR = 1013 GeV, and there is no solution of βλDM (β ) = 0 because the one-loop part of βλDM is always positive when μ ≤ MR

Summary

Introduction

The discovery of the Higgs-like particle and its mass [1,2] is a very meaningful result for the StandardModel (SM). − 32g3 yt − gY yt − g2 yt + yν + λyt + λyν g + g2 + gY yt − gY + g2 − gY yν g + g

Results

Conclusion