# Scalar dark matter in the conformally invariant extension of the standard model

## TL;DR

This paper explores a classically scale-invariant extension of the Standard Model featuring a scalar dark matter multiplet and a singlet scalar mediator, analyzing its phenomenology, relic abundance, and detection prospects.

## Contribution

It introduces a conformally invariant model with a scalar dark matter multiplet and studies its implications for electroweak symmetry breaking and dark matter detection.

## Key findings

- Allowed parameter space consistent with relic abundance
- Predicted elastic scattering cross sections for direct detection
- Constraints from current dark matter detection experiments

## Abstract

We study a classically scale-invariant model with an electroweak singlet scalar mediator together with a scalar dark matter multiplet of global $O(N)$ symmetry. Our most general conformally invariant scalar potential generates the electroweak symmetry breaking via the Coleman-Weinberg mechanism, and the new scalar singlet acquires its mass through radiative corrections of the SM particles and the scalar dark matter. Taking into account the collider bounds, we present the allowed region of new physics parameters satisfying the recent measurement of relic abundance. With the obtained parameter sets, we predict the elastic scattering cross section of the new scalar multiplet into target nuclei for a direct detection of the dark matter. We also perform a full analysis with arbitrary set of parameters for $N \geq 2$, and discuss the implication of the constraints from the on-going direct and indirect detections of dark matter.