# Conformal invariance and singlet fermionic dark matter

## TL;DR

This paper proposes a classically scale-invariant dark matter model with a new gauge symmetry, predicting detectable signals in direct detection experiments and collider signatures, while explaining electroweak symmetry breaking via the Coleman-Weinberg mechanism.

## Contribution

It introduces a novel conformally invariant framework with a scalar mediator and fermionic dark matter stabilized by a new gauge symmetry, linking dark matter properties to collider and direct detection signals.

## Key findings

- Allowed parameter space consistent with relic abundance
- Predicted elastic scattering cross sections for direct detection
- Potential collider signatures of new scalar and gauge boson

## Abstract

We study a classically scale-invariant model with an electroweak singlet complex scalar mediator together with an anomaly free set of two fermionic dark matters. We introduce $U(1)_X$ gauge symmetry with a new charge $X$ in the dark sector in order to stabilize the mass of the scalar singlet with a new gauge boson. Our 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 fermionic dark matters and the new gauge boson as well as of the SM particles. 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 singlet fermions into target nuclei for a direct detection of the dark matter. We also discuss the collider signatures and future discovery potentials of the new scalar and gauge boson.