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Compatibility of Twin Higgs/neutral naturalness with the paper’s dark-sector requirements

Determine whether Twin Higgs or broader neutral naturalness models with an approximate SU(4) Higgs structure can be consistently integrated into a Z-related visible/dark sector featuring dark-neutron dark matter and WIMP baryogenesis while maintaining asymmetric reheating and compliance with cosmological and collider constraints outlined for the scenario.

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Background

The paper discusses a renormalizable Higgs portal between visible and dark sectors and notes that an enhanced approximate SU(4) symmetry at a specific quartic coupling is central to Twin Higgs models that address the little hierarchy problem. While such frameworks can relate the dark sector to electroweak naturalness, the authors focus on dark matter–baryon coincidence without committing to Twin Higgs.

They raise the question of whether Twin Higgs or neutral naturalness can satisfy all their dark-sector requirements (e.g., suppressed inter-sector equilibration consistent with ΔN_eff bounds, approximate Z symmetry, and parallel WIMP baryogenesis) alongside precision Higgs constraints. Establishing this compatibility would connect the DM–baryon coincidence mechanism directly to a naturalness-motivated UV framework.

References

Here, we do not commit to the Twin Higgs paradigm, pursuing instead our single goal of a natural theory of dark matter and matter. But it is indeed possible that the mystery of dark matter is intimately tied to the solution of the little hierarchy problem in which the dark sector plays a central role, as has been pursued in a number of papers already; see for example Twin Higgs or “neutral naturalness” more generally. We leave for future work whether this can be done consistently with our own check-list of requirements for dark sector modeling.

— A Closer Look in the Mirror: Reflections on the Matter/Dark Matter Coincidence (2401.12286 - Bodas et al., 22 Jan 2024) in Section 4.1 (The Higgs Portal)