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Cosmic birefringence tomography with radio galaxies I: Testing birefringence solutions to the CMB-BAO tension

Cosmology and Nongalactic Astrophysics · Submitted 29 Oct 2026 · 89 references

Pith's verdict: First low-redshift tomographic radio-galaxy bounds on the two ALP birefringence fixes for the CMB-BAO tension: clean, honestly hedged, and worth refereeing, with the main open question being the unquantified redshift stability of the standard-cross calibration.

T0 · AI review

How this review was made: An AI referee (deepseek/deepseek-v4-flash) read the paper on October 30, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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  3. T2 Compute The paper's code or calculations re-run with the same results.
  4. T3 Formal statement The claims written out in a formal math language a computer can read.
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arXiv ID2610.39449 (version 1)
Pith IDEWSZSDL2, Pith's permanent record of this paper and its review
CitationFumihiro Naokawa, Richard Battye, Salvatore Samuele Sirletti, Toshiya Namikawa. "Cosmic birefringence tomography with radio galaxies I: Testing birefringence solutions to the CMB-BAO tension." arXiv:2610.39449 (2026). https://pith.science/paper/EWSZSDL2
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Referee report
The paper

The paper claims

Radio-galaxy polarization data exclude the light-mass nπ birefringence solution to the CMB–BAO tension at more than 2σ,

The reading

The paper tests two proposals that would explain the mismatch between BAO and CMB data by giving cosmic birefringence a large rotation during reionization, using roughly 3000 radio galaxies as a low-redshift probe that is independent of CMB observations. It exploits the empirical "standard cross" relation, that a radio galaxy's intrinsic polarization angle lies perpendicular to its jet axis, to read off the polarization rotation angle at z≲3. For the nπ model, where the measured CMB rotation is degenerate with adding 180°×n, the radio-galaxy data exclude |n|≥1 at more than 2σ for the lightest ALP masses, though part of the parameter region favored by the Planck low-ℓ EE spectrum survives. For the energy-injection model, in which dark matter feeds the ALP field, the data are consistent with no injection but mildly prefer nonzero injection at up to roughly 2σ depending on mass and injection epoch. The point matters because these are the first redshift-resolved radio-galaxy constraints on a cosmic birefringence that varies with redshift, testing whether birefringence can actually rescue the CMB–BAO tension.

What carries the argument

The standard cross relation: the intrinsic polarization of a radio galaxy is, on average, exactly perpendicular to its jet axis, so β_J = θ_J − ψ − 90° isolates any rotation of the polarization plane once jet and polarization position angles are combined. This turns thousands of radio galaxies into redshift-bin-by-redshift-bin measurements of the birefringence angle, giving a low-redshift probe that CMB polarization cannot supply. The discriminating power comes from the predicted shape of β(z): the nπ model predicts a strong, mass-dependent turn-on of the rotation angle at low redshift, while the energy-injection model produces a large rotation over a window tied to the injection epoch.

Extended reading notes

Core claim

The central claim is that low-redshift radio-galaxy polarization can discriminate between the birefringence-based resolutions of the CMB–BAO tension. Fitting the per-source angle β_J = θ_J − ψ − 90° in six redshift bins, the authors find that for the nπ model the rotation predicted at z≲3 for |n|≥1 with log₁₀(m_ϕ/eV)≲−30.7 is too large to fit the data, excluding those parameters at more than 2σ, while the |n|=1 and |n|=2 parameter windows favored by the Planck low-ℓ EE spectrum still partially survive. For the energy-injection model, the measured angles are consistent with no injection, with at most a ~2σ preference for nonzero injection that depends on the ALP mass and the injection epoch. Neither the birefringence explanation nor the no-rotation case is cleanly settled; the data sit between them.

Load-bearing premise

The result assumes the standard-cross rule holds exactly and does not slip by a few degrees as the source redshift, class, or observed band changes.

Editorial extensions

If this is right

  • If the result is correct, the nπ explanation of the CMB–BAO tension is restricted to a narrower mass window, and the |n|≥1 solutions for the very lightest ALPs (log₁₀(m_ϕ/eV)≲−30.7) are effectively closed.
  • The surviving nπ parameter space — |n|=1 near log₁₀(m_ϕ/eV)≈−30.0 and |n|=2 at slightly heavier masses — remains open and is testable by future low-redshift radio data.
  • The energy-injection scenario is not disfavored: the 2σ preferred range of the rescaled efficiency ξ̃ overlaps the range that fits the Planck low-ℓ EE spectrum with τ≃0.09.
  • Redshift-resolved (tomographic) fitting, rather than a single integrated angle, is what carries the discrimination between the two models and the no-rotation case.
  • The authors' own consistency check reproduces the BJB26 constant-rotation result, µ=(0.4±0.9)°, supporting the estimator before redshift structure is introduced.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The test's reach depends entirely on the assumption that the jet–polarization alignment carries no systematic offset that drifts with redshift; a calibration drift of even a few degrees across z≲3 would masquerade as the redshift-dependent birefringence signal being searched for, and the authors note but do not quantify this uncertainty.
  • The same redshift-resolved standard-cross technique could be applied to other redshift-dependent ALP or dark-energy profiles, not just the two scenarios treated here, since the method is generic to any predicted β(z).
  • A catalog of roughly 3000 sources already excludes part of the nπ space; scaling to SKA- or ASKAP-scale samples would sharpen the exclusion roughly as the square root of the source count, assuming the calibration can be held fixed.
Original abstract

We present an independent test of cosmic birefringence induced by axionlike particles (ALPs) at low redshift using radio galaxies. We focus on models that can alleviate the mild tension between recent baryon acoustic oscillation (BAO) measurements and observations of the cosmic microwave background (CMB). This tension can be explained by a large cosmic birefringence rotation angle generated during the reionization epoch. Such a large rotation can arise if the recent isotropic cosmic birefringence measurements are subject to an $n\pi$ phase ambiguity, with $n\in\mathbb{Z}$, or if cold dark matter injects energy into ALPs. We constrain these two scenarios by fitting the cosmic birefringence angles estimated from the jet morphologies and polarization angles of radio galaxies obtained by Battye, Jackson & Browne (2026). For the $n\pi$ model, the radio-galaxy data exclude $|n|\geq 1$ at more than $2\sigma$ for $\log_{10}(m_{\phi}/{\rm eV})\lesssim -30.7$. For the energy injection model, the data are consistent with no energy injection, but with a slight relative preference for a nonzero energy injection compared to the no-injection case. Since our samples are limited to $\sim 3000$ and there could still be several astrophysical uncertainties and statistical fluctuations, further exploration of tomographic cosmic birefringence using a large number of low-redshift radio galaxies is important for independent tests of cosmic birefringence.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-10-30: 1 request, 6,568 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.98 · human participants 0.01 · controlled comparison 0.42 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.52 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present an independent test of cosmic birefringence induced by axionlike particles (ALPs) at low redshift using radio galaxies. We focus on models that can alleviate the mild tension between recent baryon acoustic oscillation (BAO) measurements and observations of the cosmic microwave background (CMB). This tension can be explained by a large cosmic birefringence rotation angle generated during the reionization epoch. Such a large rotation can arise if the recent isotropic cosmic birefringence measurements are subject to an $n\pi$ phase ambiguity, with $n\in\mathbb{Z}$, or if cold dark matter injects energy into ALPs. We constrain these two scenarios by fitting the cosmic birefringence angles estimated from the jet morphologies and polarization angles of radio galaxies obtained by Battye, Jackson & Browne (2026). For the $n\pi$ model, the radio-galaxy data exclude $|n|\geq 1$ at more than $2\sigma$ for $\log_{10}(m_{\phi}/{\rm eV})\lesssim -30.7$. For the energy injection model, the data are consistent with no energy injection, but with a slight relative preference for a nonzero energy injection compared to the no-injection case. Since our samples are limited to $\sim 3000$ and there could still be several astrophysical uncertainties and statistical fluctuations, further exploration of tomographic cosmic birefringence using a large number of low-redshift radio galaxies is important for independent tests of cosmic birefringence.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present an independent test of cosmic birefringence induced by axionlike particles (ALPs) at low redshift using radio galaxies. contribution 1.00 0.93 0.06 asserted 0.97
s1 We focus on models that can alleviate the mild tension between recent baryon acoustic oscillation (BAO) measurements and observations of the cosmic microwave background (CMB). background 0.61 0.37 0.03 asserted 0.79
s2 This tension can be explained by a large cosmic birefringence rotation angle generated during the reionization epoch. background 0.97 0.09 0.04 asserted 0.68
s3 Such a large rotation can arise if the recent isotropic cosmic birefringence measurements are subject to an $n\pi$ phase ambiguity, with $n\in\mathbb{Z}$, or if cold dark matter injects energy into ALPs. background 0.88 0.07 0.04 hedged possibility 0.92
s4 We constrain these two scenarios by fitting the cosmic birefringence angles estimated from the jet morphologies and polarization angles of radio galaxies obtained by Battye, Jackson & Browne (2026). method 0.94 0.88 0.04 asserted 0.99
s5 For the $n\pi$ model, the radio-galaxy data exclude $|n|\geq 1$ at more than $2\sigma$ for $\log_{10}(m_{\phi}/{\rm eV})\lesssim -30.7$. result 1.00 0.93 0.29 asserted 1.00
s6 For the energy injection model, the data are consistent with no energy injection, but with a slight relative preference for a nonzero energy injection compared to the no-injection case. result 0.99 0.94 0.15 hedged possibility 0.84
s7 Since our samples are limited to $\sim 3000$ and there could still be several astrophysical uncertainties and statistical fluctuations, further exploration of tomographic cosmic birefringence using a large number of low-redshift radio galaxies is important for independent tests of cosmic birefringence. future work 0.81 0.56 0.08 hedged possibility 0.75

What kind of paper the classifier reports this is: empirical study 0.97 · evidence from analysis of existing data 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. FIG. 1. Cosmic birefringence angle as a function of
Figure 2. FIG. 2. Geometry of the birefringence measurement on
Figure 3. FIG. 3. Histogram of the cosmic birefringence angles at each redshift bin with ∆
Figure 4. FIG. 4. Same as Fig
Figure 5. FIG. 5. Total number of radio galaxy sources per redshift bin,
Figure 6. FIG. 6. Measured cosmic birefringence angle
Figure 7. FIG. 7. Constraints on the ALP mass and ambiguity parameter
Figure 8. FIG. 8. Constraints on the rescaled energy injection efficiency,

Figures reproduced from arXiv:2610.39449 by the authors.

References

Discussion

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