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Classical scale-invariance, the electroweak scale and vector dark matter

Christopher D. Carone, Raymundo Ramos

TL;DR

This work investigates a classically scale-invariant extension of the Standard Model with an SU(2)_D dark gauge group, where the Coleman–Weinberg mechanism in the dark sector triggers spontaneous symmetry breaking and communicates the generated scale to the SM via a Higgs portal. The model yields a rich scalar sector with mixing between the SM-like Higgs and a dark scalar, while producing a stable vector dark-matter multiplet from the dark gauge bosons. Through RG and phenomenological analyses, the authors identify regions of parameter space that maintain vacuum stability and perturbativity up to the Planck scale, reproduce the observed Higgs properties, and yield the correct dark-matter relic abundance with suppressed direct-detection signals, consistent with current experiments. The framework presents a coherent, testable alternative to traditional weak-scale new-physics scenarios, with potential extensions to dark fermions and varied gravitational cutoffs.

Abstract

We consider a classically scale-invariant extension of the standard model in which a dark, non-Abelian gauge symmetry is spontaneously broken via the Coleman-Weinberg mechanism. Higgs portal couplings between the dark and standard model sectors provide an origin for the Higgs mass squared parameter and, hence, the electroweak scale. We find that choices for model parameters exist in which the dark gauge multiplet is viable as dark matter.

Classical scale-invariance, the electroweak scale and vector dark matter

TL;DR

This work investigates a classically scale-invariant extension of the Standard Model with an SU(2)_D dark gauge group, where the Coleman–Weinberg mechanism in the dark sector triggers spontaneous symmetry breaking and communicates the generated scale to the SM via a Higgs portal. The model yields a rich scalar sector with mixing between the SM-like Higgs and a dark scalar, while producing a stable vector dark-matter multiplet from the dark gauge bosons. Through RG and phenomenological analyses, the authors identify regions of parameter space that maintain vacuum stability and perturbativity up to the Planck scale, reproduce the observed Higgs properties, and yield the correct dark-matter relic abundance with suppressed direct-detection signals, consistent with current experiments. The framework presents a coherent, testable alternative to traditional weak-scale new-physics scenarios, with potential extensions to dark fermions and varied gravitational cutoffs.

Abstract

We consider a classically scale-invariant extension of the standard model in which a dark, non-Abelian gauge symmetry is spontaneously broken via the Coleman-Weinberg mechanism. Higgs portal couplings between the dark and standard model sectors provide an origin for the Higgs mass squared parameter and, hence, the electroweak scale. We find that choices for model parameters exist in which the dark gauge multiplet is viable as dark matter.

Paper Structure

This paper contains 5 sections, 22 equations, 3 figures, 1 table.

Table of Contents

  1. Introduction
  2. The Model
  3. Phenomenological Constraints
  4. Vector Dark Matter
  5. Conclusions

Figures (3)

  • Figure 1: Regions of the $g_D$-$\lambda_p$ plane that are consistent with the perturbativity and vacuum stability constraints discussed in the text. In (a), $m_\eta < m_h$, while in (b), $m_\eta > m_h$. The regions above and to the right of the dashed line in (a) and above the dashed line in (b) correspond to $\sin^2\theta>0.1$.
  • Figure 2: Dark gauge boson annihilation diagrams included in the relic density estimate presented in the text.
  • Figure 3: Band where the dark gauge multiplet provides the dark matter relic density within $\pm2\sigma$ experimental uncertainty.