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arxiv: 2605.18716 · v1 · pith:COAI3YRLnew · submitted 2026-05-18 · 🌌 astro-ph.CO

Recoupled Dark Radiation reconciling CMB and DESI BAO measurements

Ravi Kumar Sharma , Maria Archidiacono , Julien Lesgourgues This is my paper

Pith reviewed 2026-05-20 08:57 UTC · model grok-4.3

classification 🌌 astro-ph.CO
keywords interacting sterile neutrinosdark radiationDESI BAOCMB tensionHubble constantneutrino mass sumcosmological tensions
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The pith

An interacting sterile neutrino component reconciles CMB data with DESI BAO measurements by lowering the preferred matter density.

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

Recent DESI baryon acoustic oscillation data combined with cosmic microwave background observations create tension in the standard Lambda CDM model, including a mismatch in the summed neutrino mass compared to laboratory results. This paper introduces a recoupled interacting radiation scenario, concretely realized with sterile neutrinos coupled through a light pseudoscalar mediator, that modifies the early-universe radiation fluid. The interaction alters CMB signals and reduces the inferred matter density, bringing the two datasets into better agreement. The fit improves significantly, showing a 2.7 sigma preference for the new component and also easing the discrepancy with local Hubble constant measurements from supernovae.

Core claim

Combining CMB with DESI DR2 BAO measurements yields a 2.7 sigma preference for a nonzero interacting sterile neutrino component with nsp = 0.253 plus or minus 0.094. This gives an improvement of Delta chi squared equals negative 8.98 relative to Lambda CDM. The interacting radiation fluid modifies the CMB phenomenology and lowers the preferred matter density to improve consistency between CMB and DESI BAO data while reducing the tension with the SH0ES Hubble constant determination to the 2.4 sigma level.

What carries the argument

The recoupled interacting radiation fluid of sterile neutrinos coupled via a light pseudoscalar mediator, which changes the effective radiation density and perturbation evolution to affect CMB anisotropies and the inferred matter density.

If this is right

  • The model yields a better overall fit to combined CMB and DESI DR2 data than the standard Lambda CDM model.
  • It reduces the cosmological upper bound on the summed neutrino mass to better match laboratory constraints from oscillation experiments.
  • The inferred Hubble constant moves closer to the SH0ES value, lowering the tension from higher levels to 2.4 sigma.
  • This interacting dark radiation scenario offers a mechanism to reconcile early-universe and late-universe observables through modified radiation behavior.

Where Pith is reading between the lines

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

  • If valid, the model implies that future large-scale structure surveys could detect modified growth rates due to the altered radiation component.
  • Particle physics searches for light pseudoscalars might gain motivation from the cosmological preference for this interaction strength.
  • Analogous recoupling effects could be explored in other dark sector models to address remaining cosmological discrepancies.

Load-bearing premise

The interacting radiation must alter CMB signals and lower the preferred matter density in a way that specifically matches DESI BAO data without unaccounted systematics in the measurements.

What would settle it

Future higher-precision BAO or CMB data that shows no statistical improvement when the interacting component is included, or a laboratory bound that excludes the required sterile neutrino mass and coupling strength, would falsify the central claim.

Figures

Figures reproduced from arXiv: 2605.18716 by Julien Lesgourgues, Maria Archidiacono, Ravi Kumar Sharma.

Figure 1
Figure 1. Figure 1: FIG. 1. Evolution of the equation of state (blue) and of the [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Lensed CMB temperature power spectrum (top fig [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. 68% and 95% marginalised constraints on Ω [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Bestfit prediction of the isotropic BAO distance [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Marginalised 68% and 95% contours and 1D pos [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. 1D posterior on the sum of active neutrino masses in [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. 68% and 95% marginalized contours on the Ω [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
read the original abstract

Recent DESI BAO measurements, combined with CMB data, reveal a tension within the $\Lambda$CDM model that leads to a discrepancy between cosmological and laboratory bounds on the summed neutrino mass. We show that a recoupled interacting radiation component can alleviate this cosmological tension, as well as the one with neutrino oscillation experiments. Sterile neutrinos interacting through a light pseudoscalar mediator provide a concrete realization of this scenario. The resulting interacting fluid modifies the CMB phenomenology, lowers the preferred matter density, and improves the consistency between CMB and DESI BAO measurements. Combining CMB with DESI DR2 BAO measurements, we find a $2.7 \sigma$ preference for a nonzero interacting sterile neutrino component, $\nsp=0.253 \pm 0.094$, corresponding to an improvement $\Delta \chi^2=-8.98$ relative to $\Lambda$CDM. The model also reduces the tension with the SH0ES determination of the Hubble constant to the $2.4\sigma$ level.

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 / 1 minor

Summary. The paper proposes a recoupled dark radiation model realized via sterile neutrinos interacting through a light pseudoscalar mediator. This component modifies early-universe expansion and CMB phenomenology, lowering the preferred matter density and thereby improving consistency with DESI DR2 BAO data. Combining CMB and DESI DR2 BAO yields a 2.7σ preference for nonzero interacting sterile neutrino density nsp = 0.253 ± 0.094, with Δχ² = −8.98 relative to ΛCDM, while also reducing the Hubble tension with SH0ES to 2.4σ.

Significance. If the likelihood implementation is self-consistent, the work supplies a concrete, falsifiable particle-physics extension that simultaneously addresses the CMB–BAO tension, the cosmological neutrino-mass bound, and part of the Hubble tension. The explicit parameter constraint and reported Δχ² improvement constitute a clear, testable prediction.

major comments (1)
  1. [Data analysis / likelihood implementation] The central claim that the model reconciles CMB and DESI BAO data rests on the assumption that the published DESI likelihood (typically ratios involving r_d) remains valid when the early expansion history is altered by the interacting radiation fluid. The manuscript must clarify, in the data-analysis or likelihood section, whether the BAO likelihood is recomputed with the model-specific sound horizon r_d; use of the standard ΛCDM r_d would render the quoted Δχ² = −8.98 and 2.7σ preference non-self-consistent. This issue is load-bearing for the main result.
minor comments (1)
  1. [Abstract] The symbol nsp is introduced without an explicit defining equation in the abstract; a brief parenthetical definition or reference to the first equation in the model section would improve immediate readability.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting an important point regarding the self-consistency of the BAO likelihood. We address this comment in detail below and have revised the manuscript accordingly.

read point-by-point responses

  1. Referee: [Data analysis / likelihood implementation] The central claim that the model reconciles CMB and DESI BAO data rests on the assumption that the published DESI likelihood (typically ratios involving r_d) remains valid when the early expansion history is altered by the interacting radiation fluid. The manuscript must clarify, in the data-analysis or likelihood section, whether the BAO likelihood is recomputed with the model-specific sound horizon r_d; use of the standard ΛCDM r_d would render the quoted Δχ² = −8.98 and 2.7σ preference non-self-consistent. This issue is load-bearing for the main result.

    Authors: We thank the referee for raising this critical issue. In our analysis the DESI DR2 BAO likelihood is evaluated using the model-specific sound horizon r_d computed self-consistently for each sampled cosmology. The early expansion history is modified inside the Boltzmann solver to incorporate the recoupled interacting sterile neutrino component (via the pseudoscalar mediator), which directly alters the sound horizon at the drag epoch. The published DESI likelihood (which depends on ratios such as D_M/r_d and D_H/r_d) is then applied with this updated r_d, ensuring the quoted Δχ² = −8.98 and 2.7σ preference are internally consistent. We have added an explicit paragraph in the revised Data Analysis section (now Section 3.2) describing this procedure, including a short derivation of the modified r_d and confirmation that no ΛCDM fiducial r_d is imposed. This revision removes any ambiguity and strengthens the main result. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected in derivation chain

full rationale

The paper reports a standard statistical fit of an extended model (with interacting sterile neutrino parameter nsp) to the combined CMB + DESI DR2 BAO dataset, yielding a reported Δχ² improvement and 2.7σ preference. This is a direct likelihood comparison on external data rather than any derivation that reduces by construction to its inputs. No self-definitional relations, fitted quantities renamed as predictions, load-bearing self-citations, uniqueness theorems, or smuggled ansatzes appear in the abstract or described chain. The result remains self-contained against the cited datasets without evident circular reduction.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The central claim rests on standard LambdaCDM background plus a new interacting radiation fluid whose density parameter is fitted; the mediator is postulated without independent evidence outside the fit.

free parameters (1)
  • nsp (interacting sterile neutrino density)
    Fitted value 0.253 ± 0.094 obtained from CMB+DESI data combination; central to the reported preference and chi2 improvement.
axioms (1)
  • domain assumption Standard cosmological assumptions for CMB and BAO likelihoods remain valid when the interacting radiation is added.
    Invoked when claiming the model modifies CMB phenomenology without invalidating existing data pipelines.
invented entities (1)
  • Light pseudoscalar mediator for sterile neutrino interactions no independent evidence
    purpose: Provides the interaction mechanism that recouples the dark radiation component.
    Postulated to realize the recoupled scenario; no independent evidence or falsifiable prediction outside the cosmological fit is given in the abstract.

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