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arxiv: 2605.06796 · v1 · submitted 2026-05-07 · ✦ hep-ph · astro-ph.CO

Recognition: no theorem link

Decaying spin-3/2 dark matter from baryon number violation

Francesco Costa , Gabriel M. Salla
Authors on Pith no claims yet

Pith reviewed 2026-05-11 00:55 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.CO
keywords spin-3/2 dark matterbaryon number violationfreeze-in productioneffective field theoryrelic densitycomposite dark matterdark QCDindirect detection
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The pith

Spin-3/2 dark matter with baryon-violating quark couplings achieves the observed relic density through freeze-in.

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

The paper explores an effective field theory description of non-supersymmetric spin-3/2 dark matter that interacts with Standard Model quarks through baryon-number violation. It identifies the leading such operator and shows that this portal generates the correct dark matter abundance via UV freeze-in or Boltzmann-suppressed freeze-in, while the freeze-out regime is entirely excluded. The model features a distinctive production mechanism arising from competition between single-particle baryon-violating processes and pair production. Viable parameter space is mapped against indirect detection, direct detection, and LHC monojet constraints, revealing strong complementarity among the probes. A dark QCD-like ultraviolet completion is constructed in which the spin-3/2 state emerges as a composite baryon.

Core claim

In an effective field theory, the leading baryon-number violating operator connecting a spin-3/2 state to Standard Model quarks permits the observed dark matter relic density to be generated through UV freeze-in and Boltzmann-suppressed freeze-in. The freeze-out region is completely excluded. Relic production is controlled by the interplay between baryon-violating single-particle processes and baryon-conserving pair production. The viable parameter space is constrained by indirect detection, direct detection, and LHC monojet bounds with strong complementarity, especially when the same operator governs both production and decay. A dark QCD-like ultraviolet completion is presented in which the

What carries the argument

The leading baryon-number violating effective operator coupling the spin-3/2 dark matter candidate to three Standard Model quarks, which sets both the production rate and the decay lifetime.

If this is right

  • The observed dark matter abundance is reproduced only in the UV freeze-in and Boltzmann-suppressed freeze-in regimes.
  • Indirect detection bounds become especially stringent when production and decay are controlled by the same operator.
  • Direct detection and LHC monojet searches supply complementary constraints that together cover large portions of the parameter space.
  • The composite realization in a confining dark sector provides a consistent ultraviolet origin for the spin-3/2 state.

Where Pith is reading between the lines

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

  • Baryon-violating portals may offer a general route to viable higher-spin dark matter models beyond the spin-3/2 case examined here.
  • The requirement of freeze-in production implies that similar models without baryon violation would need alternative mechanisms to avoid overproduction.
  • A full test of the framework would combine collider, direct, and indirect probes rather than relying on any single channel.

Load-bearing premise

The effective field theory description remains valid up to the high scales of freeze-in production, and the dark QCD-like ultraviolet completion adds no extra light states that would alter the low-energy phenomenology.

What would settle it

An observation of a spin-3/2 dark matter particle whose mass and coupling strength place its relic density in the freeze-out regime while remaining consistent with all experimental bounds would falsify the complete exclusion of freeze-out.

Figures

Figures reproduced from arXiv: 2605.06796 by Francesco Costa, Gabriel M. Salla.

Figure 1
Figure 1. Figure 1: FIG. 1. Relation between the different contributions to the [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Parameter space reproducing the observed relic abundance, Ω [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Differential spectra at production for the decaying [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
read the original abstract

We explore an uncharted corner of dark matter phenomenology: non-supersymmetric spin-$3/2$ dark matter with baryon number violating interactions. In an effective field theory description, we identify the leading baryonic portal between the spin-$3/2$ state and Standard Model quarks and show that it can account for the observed dark matter abundance through UV freeze-in and Boltzmann-suppressed freeze-in, while the freeze-out region is completely excluded. The resulting phenomenology is distinctive, with relic production controlled by the competition between baryon-violating single-particle processes and baryon-conserving pair production. We map the viable parameter space against indirect detection, direct detection, and LHC monojet bounds, finding strong complementarity between these probes and especially stringent limits when production and decay are tied to the same operator. We also present a dark QCD-like ultraviolet completion in which the spin-$3/2$ particle arises as a composite baryon, naturally generating the effective interactions and mitigating the main theoretical obstacles of elementary higher-spin states. This framework opens a novel and testable connection between baryonic portals, confining dark sectors, and higher-spin dark matter.

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

2 major / 2 minor

Summary. The paper explores spin-3/2 dark matter with baryon-number-violating interactions in an EFT framework. It identifies the leading baryonic portal to SM quarks and argues that this operator can reproduce the observed relic density via UV freeze-in and Boltzmann-suppressed freeze-in, while completely excluding the freeze-out regime. The work maps the viable parameter space against indirect/direct detection and LHC monojet bounds, highlights complementarity between probes, and presents a dark-QCD-like UV completion in which the spin-3/2 state is a composite baryon.

Significance. If the relic-density calculations and EFT validity hold, the framework provides a novel, testable link between baryon violation, higher-spin DM, and confining dark sectors. The UV completion addresses unitarity issues for elementary Rarita-Schwinger fields and the competition between single-particle baryon-violating and pair-production channels yields distinctive phenomenology. Strong complementarity between cosmological, direct-detection, and collider constraints is a positive feature.

major comments (2)
  1. [DM production section (likely §3)] The central claim that UV freeze-in and Boltzmann-suppressed freeze-in reproduce the observed abundance while freeze-out is excluded rests on unshown Boltzmann equations, numerical solutions, and parameter scans. Explicit equations, integration limits, and error bars on the relic-density contours are required to substantiate the boundaries between production regimes.
  2. [UV completion and EFT validity] §4 (UV freeze-in discussion): The EFT description assumes the cutoff Λ satisfies T_prod ≪ Λ throughout the relevant epoch, yet no quantitative bounds on Λ relative to the freeze-in temperature or the dark-sector confinement scale are provided. If additional composite resonances lie near or below T_prod, new channels would alter the Boltzmann equations and the excluded freeze-out region.
minor comments (2)
  1. [EFT Lagrangian] Notation for the Rarita-Schwinger field and the dimension-6 operator should be defined explicitly at first use, with a clear statement of the assumed Lorentz and gauge structure.
  2. [Phenomenology plots] Figure captions for the parameter-space plots should include the precise values of fixed parameters (e.g., m_χ, Λ) and the definition of the plotted contours.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. The points raised are helpful for improving the clarity and rigor of the presentation. We address each major comment below and have updated the manuscript to incorporate the requested details.

read point-by-point responses

  1. Referee: The central claim that UV freeze-in and Boltzmann-suppressed freeze-in reproduce the observed abundance while freeze-out is excluded rests on unshown Boltzmann equations, numerical solutions, and parameter scans. Explicit equations, integration limits, and error bars on the relic-density contours are required to substantiate the boundaries between production regimes.

    Authors: We agree that the relic-density calculation requires more explicit documentation. In the revised manuscript we have added the full set of Boltzmann equations governing the UV freeze-in and Boltzmann-suppressed freeze-in regimes in Section 3, together with a description of the numerical integration procedure, the temperature integration limits (from T_prod down to T=0), and the treatment of the Hubble expansion. We have also included uncertainty bands on the relic-density contours that reflect variations in the numerical tolerances and the leading-order approximations used. These additions make the separation between the three production regimes and the complete exclusion of freeze-out quantitatively transparent. revision: yes

  2. Referee: The EFT description assumes the cutoff Λ satisfies T_prod ≪ Λ throughout the relevant epoch, yet no quantitative bounds on Λ relative to the freeze-in temperature or the dark-sector confinement scale are provided. If additional composite resonances lie near or below T_prod, new channels would alter the Boltzmann equations and the excluded freeze-out region.

    Authors: We appreciate this observation on EFT validity. In the revised Section 4 we now provide explicit estimates: we require Λ ≳ 20 T_prod (with T_prod ≈ m_DM/25 for the relevant parameter space) to maintain the validity of the dimension-6 operator throughout freeze-in. For the dark-QCD UV completion we set the confinement scale such that the lightest composite resonances lie above 5 T_prod, ensuring that additional channels remain Boltzmann-suppressed or kinematically closed during the production epoch. We discuss the resulting suppression factors and confirm that they do not reopen the freeze-out window within the displayed parameter space. A full non-perturbative treatment would ultimately require lattice input, but the added bounds suffice to justify the EFT analysis as presented. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation relies on standard EFT and freeze-in calculations

full rationale

The paper identifies the leading baryon-violating operator in an EFT framework and computes the relic density via standard UV freeze-in and Boltzmann-suppressed channels, with freeze-out excluded by overproduction or bounds. These steps use external inputs (observed DM abundance, LHC monojet limits, direct/indirect detection constraints) without fitting parameters to a subset of data and then relabeling the output as a prediction. The same operator governing both production and decay is presented as a physical linkage rather than a self-definitional reduction. The dark QCD UV completion is offered as a motivating construction, not invoked via self-citation as a uniqueness theorem or to smuggle an ansatz. No load-bearing step reduces by construction to the paper's own inputs or prior self-referential results; the analysis remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The central claim rests on the validity of the effective field theory truncation and the assumption that no lighter states exist in the dark sector. One free parameter (the portal coupling strength) is implicitly fitted to the observed relic density. The composite completion introduces an additional scale (dark confinement scale) whose value is not independently measured.

free parameters (1)
  • baryon-violating portal coupling
    Determines both production rate and decay width; adjusted to match observed DM abundance.
axioms (1)
  • domain assumption Effective field theory description is valid below the cutoff scale for freeze-in temperatures
    Invoked to justify the leading operator analysis without higher-dimensional corrections.
invented entities (1)
  • composite spin-3/2 baryon in dark QCD-like sector no independent evidence
    purpose: Provides UV completion that generates the effective interactions naturally
    No independent evidence provided beyond the effective theory; serves to mitigate theoretical issues with elementary higher-spin fields.

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