Dark matter in minimal dimensional transmutation with multicritical-point principle

TL;DR

This paper presents a two-scalar field model that naturally generates multiple scales via a generalized criticality principle, incorporating dark matter and compatible with current experimental constraints.

Contribution

It introduces a minimal scalar model based on multipoint criticality, extending classical scale invariance, and demonstrates its viability with dark matter and collider phenomenology.

Findings

Dark matter mass around a few TeV with detectable scattering cross section.

Extra Higgs boson mass below or around 100 GeV with potential collider signals.

Model consistent with dark matter relic abundance, direct detection, and LHC data.

Abstract

We investigate a model with two real scalar fields that minimally generates exponentially different scales in an analog of the Coleman-Weinberg mechanism. The classical scale invariance -- the absence of dimensionful parameters in the tree-level action, required in such a scale generation -- can naturally be understood as a special case of the multipoint criticality principle. This two-scalar model can couple to the Standard Model Higgs field to realize a maximum multiplicity of criticality for field values around the electroweak scale, providing a generalization of the classical scale invariance to a wider class of criticality. As a bonus, one of the two scalars can be identified as Higgs-portal dark matter. We find that this model can be consistent with the constraints from dark matter relic abundance, its direct detection experiments, and the latest LHC data, while keeping the perturbativity up to the Planck scale. We then present successful benchmark points satisfying all these constraints: The mass of dark matter is a few TeV, and its scattering cross section with nuclei is of the order of $10^{-9}$ pb, reachable in near future experiments. The mass of extra Higgs boson $H$ is smaller than or of the order of 100 GeV, and the cross section of $e^+e^- \to ZH$ can be of fb level for collision energy 250 GeV, targetted at future lepton colliders.