Vacuum stability of conformally invariant scalar dark matter models

TL;DR

This paper investigates the vacuum stability and phenomenology of conformally invariant scalar dark matter models with a scalar multiplet and a singlet mediator, ensuring stability up to the Planck scale and exploring detection prospects.

Contribution

It introduces a scale-invariant scalar dark matter model with a radiatively generated electroweak symmetry breaking and analyzes its vacuum stability and experimental signatures.

Findings

Identifies parameter space where the model remains stable up to the Planck scale.

Predicts direct detection cross sections for scalar dark matter.

Discusses collider signatures and future discovery potential.

Abstract

We discuss vacuum structure and vacuum stability in classically scale-invariant renormalizable models with a scalar dark matter multiplet of global O(N) symmetry together with an electroweak singlet scalar mediator. Our conformally invariant scalar potential generates the electroweak symmetry breaking via the Coleman-Weinberg mechanism, and the new scalar singlet mediator acquires its mass through radiative corrections of the scalar dark matters as well as of the standard model particles. Taking into account the present collider bounds, we find the region of parameter space where the scalar potential is stable and all the massless couplings are perturbative up to the Planck scale. With the obtained parameter sets satisfying the vacuum stability condition, we present the allowed region of new physics parameters satisfying the recent measurement of relic abundance, and predict the elastic scattering cross section of the new scalar multiplet into target nuclei for a direct detection of the dark matter. We also discuss the collider signatures and future discovery potentials of the new scalars.