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

TL;DR

This paper explores the multiple point principle in the Standard Model extended with scalar singlet dark matter and right-handed neutrinos, analyzing the Higgs self-coupling and top quark mass relationship at two-loop level.

Contribution

It provides a two-loop analysis of the MPP in the extended Standard Model, revealing a strong correlation between the top quark mass and dark matter mass.

Findings

Larger top quark masses (≥171 GeV) are compatible with the model.

The model aligns with recent experimental top quark mass measurements.

Dark matter mass is constrained between 769 GeV and 1053 GeV.

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 $769{1mm}\text{GeV}\leq m_{\text{DM}}\leq 1053 {1mm}\text{GeV}$.