Principle of Multiple Point Criticality in Multi-Scalar Dark Matter Models

TL;DR

This paper extends the principle of multiple point criticality to multi-scalar dark matter models, deriving constraints on dark matter properties by requiring degenerate vacua, thus providing a novel theoretical approach to dark matter model viability.

Contribution

It applies the PMPC to multi-scalar dark matter models, revealing which models are ruled out or constrained by the degenerate vacua condition.

Findings

Some scalar dark matter models are ruled out by PMPC constraints.

Allowed parameter space in certain models is significantly constrained.

PMPC can predict properties of dark matter models based on vacuum degeneracy.

Abstract

The principle of multiple point criticality (PMPC), which allowed the prediction of the Higgs boson mass before its discovery, has so far been applied to radiatively generated vacua. If this principle is fundamental, following from some presently unknown underlying physics, the PMPC must apply to all vacua, including the multiple vacua of multi-scalar models dominated by tree-level terms. We first motivate this idea and then exemplify it by applying the PMPC to various realizations of singlet scalar dark matter models. We derive constraints on the dark matter properties from the requirement of degenerate vacua and show that some scalar dark matter models are ruled out by the PMPC, while in others the allowed parameters space is constrained.