Vacuum Stability, Perturbativity, and Scalar Singlet Dark Matter

TL;DR

This paper investigates how adding a scalar singlet dark matter candidate to the Standard Model affects vacuum stability and perturbativity bounds, revealing new constraints on dark matter mass and scalar couplings.

Contribution

It provides a detailed analysis of vacuum stability and perturbativity bounds in a singlet scalar extension of the Standard Model, highlighting how these bounds influence dark matter properties.

Findings

Relaxation of the Higgs mass lower bound due to singlet interactions

Lower upper bounds on Higgs mass from perturbativity considerations

Potential lower bounds on singlet dark matter mass based on stability requirements

Abstract

We analyze the one-loop vacuum stability and perturbativity bounds on a singlet extension of the Standard Model (SM) scalar sector containing a scalar dark matter candidate. We show that the presence of the singlet-doublet quartic interaction relaxes the vacuum stability lower bound on the SM Higgs mass as a function of the cutoff and lowers the corresponding upper bound based on perturbativity considerations. We also find that vacuum stability requirements may place a lower bound on the singlet dark matter mass for given singlet quartic self coupling, leading to restrictions on the parameter space consistent with the observed relic density. We argue that discovery of a light singlet scalar dark matter particle could provide indirect information on the singlet quartic self-coupling.