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arxiv: 2606.25014 · v1 · pith:J65PSOEXnew · submitted 2026-06-23 · ✦ hep-ph · astro-ph.CO

Probing Confining Dark Sectors with Cosmological Perturbations

Daven Wei Ren Ho , Ameen Ismail , Yuhsin Tsai This is my paper

Pith reviewed 2026-06-25 22:59 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.CO
keywords dark matterfirst-order phase transitioncosmological perturbationscurvature perturbationsisocurvaturefree-streamingconfining sector
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0 comments X

The pith

Dark matter composites from a confining dark sector phase transition generate observable cosmological curvature perturbations.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper investigates dark matter that forms as composite states when a dark sector confines during a strongly first-order phase transition above the keV scale. Bubble nucleation in the transition stochastically sources curvature perturbations that the composite dark matter inherits as isocurvature modes. Because dark matter redshifts more slowly than radiation, these perturbations produce an enhanced infrared tail in the curvature spectrum upon horizon entry, competing with the suppression of the matter power spectrum from dark matter free-streaming. Limits follow on transition strength and temperature from CMB anisotropies, the Lyman-alpha forest, and other small-scale probes. In the minimal case where relic density is fixed by transition parameters alone, the model becomes testable through gravitational effects without needing sizable nongravitational couplings to visible matter.

Core claim

In models of composite dark matter from a dark sector that confines in a strongly first-order phase transition at keV to MeV scales, stochastic bubble nucleation sources curvature perturbations. The resulting composite states inherit isocurvature perturbations from the transition. Their slower redshifting relative to radiation enhances the infrared tail of the curvature perturbation spectrum upon horizon entry. These phase-transition-induced perturbations compete with free-streaming suppression of the matter power spectrum, yielding constraints on transition strength and temperature from CMB anisotropies and small-scale structure probes.

What carries the argument

Stochastic bubble nucleation in the strongly first-order phase transition, which sources curvature perturbations inherited by the composite dark matter and enhanced in the infrared by its slower redshifting.

If this is right

  • Existing CMB and Lyman-alpha data already constrain the strength and temperature of the dark phase transition.
  • The model remains testable through cosmological perturbations alone when relic density depends only on transition parameters.
  • The infrared enhancement of perturbations distinguishes the scenario from standard warm dark matter free-streaming suppression.
  • The same transition parameters control both the relic density and the size of the induced perturbations.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Future higher-resolution measurements of the matter power spectrum could either exclude or detect the predicted perturbation features at specific scales.
  • The same first-order transition could generate a stochastic gravitational wave background whose amplitude would correlate with the curvature perturbation signal.
  • The approach may apply to other hidden-sector models if their relic abundance can be fixed by transition dynamics without extra inputs.

Load-bearing premise

The relic density is determined solely by the phase transition parameters in a minimal scenario.

What would settle it

A measurement or upper limit on the small-scale matter power spectrum that either matches or rules out the specific infrared enhancement predicted from the competition between phase-transition perturbations and free-streaming at scales set by the transition temperature.

read the original abstract

Dark matter may emerge as a composite state of a dark sector which confines in a strongly first-order phase transition (PT). To avoid structure formation constraints on warm dark matter, the dark PT must occur above the keV scale. We investigate the cosmological signatures of this scenario, focusing on a keV- to MeV-scale PT. The stochastic nature of bubble nucleation sources curvature perturbations that can be constrained by various cosmological observations. Composite dark matter inherits the isocurvature perturbations generated during the PT and sources large-scale curvature perturbations. In contrast to a PT that reheats into dark radiation, the slower redshifting of dark matter enhances the infrared tail of the curvature perturbation upon horizon entry. The PT-induced perturbations compete with the suppression of the matter power spectrum due to the free-streaming of composite dark matter. We place limits on the PT strength and temperature from cosmic microwave background anisotropies, the Lyman-$\alpha$ forest, and other probes of the small-scale matter power spectrum. In a minimal scenario where the relic density is determined by the PT parameters, this provides a concrete example of a dark matter model that is testable via measurements of cosmological perturbations -- even in the absence of a sizable nongravitational coupling to the visible sector.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The paper investigates cosmological signatures of composite dark matter produced in a confining dark sector that undergoes a strongly first-order phase transition (PT) at keV–MeV scales. Stochastic bubble nucleation during the PT sources curvature perturbations; the resulting composite DM inherits isocurvature modes that, upon horizon entry, source additional large-scale curvature perturbations. These PT-induced effects compete with the suppression of the matter power spectrum from DM free-streaming. The authors derive limits on PT strength and temperature from CMB anisotropies, the Lyman-α forest, and other small-scale probes. In a minimal scenario in which the relic density is fixed solely by the PT parameters, the model is claimed to be testable via cosmological perturbations even without sizable nongravitational couplings to the visible sector.

Significance. If the central claims hold, the work supplies a concrete, falsifiable example of a dark-matter model whose perturbation spectrum can be predicted from PT parameters alone and constrained by existing and forthcoming cosmological data. This extends the reach of cosmological probes to dark sectors that lack direct couplings, and the competition between PT-sourced perturbations and free-streaming suppression is a distinctive, potentially observable signature.

major comments (1)
  1. [Abstract, final paragraph] Abstract (final paragraph) and the minimal-scenario discussion: the claim that 'the relic density is determined by the PT parameters' in a minimal model requires an explicit relation between the confinement scale λ and the PT temperature T_PT (or latent heat). In confining theories λ is set by the strong dynamics and is not automatically fixed by T_PT; without a derivation from the Lagrangian or a demonstration that no additional dark-sector parameter is introduced, the 'minimal' status and the 'testable without nongravitational coupling' assertion rest on an unstated assumption. This is load-bearing for the strongest claim.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting this important point regarding the minimal scenario. We respond to the major comment below.

read point-by-point responses

  1. Referee: [Abstract, final paragraph] Abstract (final paragraph) and the minimal-scenario discussion: the claim that 'the relic density is determined by the PT parameters' in a minimal model requires an explicit relation between the confinement scale λ and the PT temperature T_PT (or latent heat). In confining theories λ is set by the strong dynamics and is not automatically fixed by T_PT; without a derivation from the Lagrangian or a demonstration that no additional dark-sector parameter is introduced, the 'minimal' status and the 'testable without nongravitational coupling' assertion rest on an unstated assumption. This is load-bearing for the strongest claim.

    Authors: We agree that the relation between the confinement scale and the PT temperature must be stated explicitly to support the minimal-scenario claim. In our parameterization the PT temperature T_PT and the strength (latent heat) are the controlling parameters: the former sets the scale at which the dark gauge coupling becomes non-perturbative and triggers confinement, while the latter fixes the relic density of the resulting composite states. To make this transparent we will revise the final paragraph of the abstract and add a short clarifying paragraph in the introduction (or a dedicated subsection) that (i) identifies λ with T_PT on the basis of the strong dynamics and (ii) notes that no additional dark-sector parameters are introduced beyond those already used to describe the PT. This revision will remove the unstated assumption while preserving the central claim that the scenario remains testable through cosmological perturbations alone. revision: yes

Circularity Check

0 steps flagged

No circularity; external constraints applied to explicit minimal scenario

full rationale

The paper states an explicit modeling assumption ('minimal scenario where the relic density is determined by the PT parameters') and then derives observational limits on PT strength and temperature from independent external data (CMB anisotropies, Lyman-alpha forest, small-scale power spectrum probes). No equation or claim reduces the predicted perturbation spectrum to a fit of the same inputs; the isocurvature and curvature perturbations are computed from PT bubble nucleation dynamics and compared to separate observables. No self-citations, ansatze, or uniqueness theorems are invoked in the provided text to close the logic. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

Abstract-only review limits visibility into parameters and assumptions; the model relies on standard early-universe cosmology and the minimal relic-density assumption stated in the final sentence.

free parameters (2)
  • PT strength
    Parameter constrained by observations but value not specified; central to limits placed on the model.
  • PT temperature
    Ranged keV to MeV; used to set scale for avoiding warm DM constraints and generating perturbations.
axioms (2)
  • domain assumption Dark PT must occur above the keV scale to avoid structure formation constraints on warm dark matter.
    Stated in abstract as prerequisite for the scenario.
  • standard math Standard cosmological perturbation evolution applies to PT-sourced curvature and isocurvature modes.
    Implicit in discussion of horizon entry and matter power spectrum.

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discussion (0)

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Reference graph

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