REVIEW 2 major objections 5 minor 162 references
Lyα haloes around faint galaxies at z≥6 are three times smaller than at z~3, and most leave no extended emission even in stacks.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · grok-4.5
2026-07-11 09:00 UTC pith:HMGSRCZW
load-bearing objection First sensitivity-matched comparison of low-luminosity LAHs at z≥6 vs z~3 shows a clean factor-of-three size drop and a null high-z stack; the result holds after the paper's own resolution checks. the 2 major comments →
Lyman-alpha haloes in the aftermath of reionisation
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
When samples of faint Lyman-alpha emitters are matched in intrinsic surface-brightness sensitivity, luminosity and stellar mass, the typical exponential scale lengths of their Lyman-alpha haloes at z≥6 are three times smaller than at z~3. Stacking the individually undetected objects yields a highly significant extended halo at low redshift but no trace of extended emission at high redshift; the high-redshift lines are also ~2.5 times narrower.
What carries the argument
Intrinsic surface-brightness matching (SBlim,Lyα ∝ σ_eff(λ)/(1+z)^4) that equalises the detectability of intrinsically identical haloes across redshift, allowing a direct comparison of exponential scale lengths, halo flux fractions and stacked profiles.
Load-bearing premise
That correcting the effective noise for cosmological dimming fully equalises the ability to detect identical intrinsic haloes, so residual sensitivity, PSF or angular-size biases cannot produce the observed size and stacking differences.
What would settle it
A new set of MUSE or equivalent integral-field observations that reaches the same intrinsic surface-brightness limit at both redshifts and recovers either large high-z haloes or a clear stacked high-z halo of scale length comparable to the z~3 sample would falsify the claimed size dichotomy.
If this is right
- Most faint LAEs at z≥6 either lack Lyman-alpha haloes or host only very compact ones, so deep stacks will not recover the large haloes seen at lower redshift.
- The two main drivers of LAE detectability—halo size and line width—evolve strongly, altering the selection function and therefore the observed Lyman-alpha luminosity function near the end of reionisation.
- Halo scale length relative to virial radius remains roughly constant (~0.16), linking the growth of the scattering medium directly to dark-matter halo assembly if coevolution is the dominant driver.
- If reionisation is responsible, detectable high-z LAHs preferentially flag galaxies that sit inside larger or more highly ionised bubbles.
Where Pith is reading between the lines
- The same intrinsic-sensitivity matching applied across the full MUSE redshift range (z~3–6) would decide whether halo sizes evolve smoothly with galaxy size or jump only near reionisation.
- Narrow high-z lines together with compact (or absent) haloes imply that the photons we detect have experienced less resonant scattering than at lower redshift, offering a new handle on local ionised-bubble size.
- If halo size tracks virial radius, future intensity-mapping experiments that resolve the diffuse Lyman-alpha background should see a corresponding change in the small-scale power spectrum between z~6 and z~3.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper compares Lyα haloes (LAHs) around low-luminosity LAEs (L_Lyα ≲ 10^42 erg s^{-1}) at z ≥ 6 (18 objects from the MXDF) with a reference sample at z ∼ 3.2 (90 objects from MUSCATEL-SF A2744), constructed so that the samples share the same intrinsic surface-brightness sensitivity after the (1 + z)^4 cosmological-dimming correction (Eq. 1, Fig. 2). Extended emission is detected around 6/18 high-z LAEs (more than doubling the known sample at z ≥ 6) versus 40/90 at low z. The high-z exponential scale lengths are typically a factor of ∼3 smaller; stacking the individually undetected objects recovers a highly significant extended halo at z ∼ 3 but none at z ≥ 6. Lyα line widths are also ∼2.5 times narrower at high z. Two interpretations are discussed: reionisation-driven scattering losses that leave only compact emission, or coevolution of LAHs with host-galaxy sizes and dark-matter haloes.
Significance. If the factor-of-three size difference and the null high-z stack hold, the result supplies the first carefully controlled statistical view of faint LAHs in the late reionisation epoch and tightens constraints on both CGM evolution and the topology of ionised bubbles. Strengths include the explicit matching of intrinsic SB sensitivity, the empty-field self-calibration of the p_0 = 0.05 detection threshold, the doubling of known individual z ≥ 6 LAHs, and the quantitative appendices on upper limits (Appendix B) and residual PSF/D_A biases (Appendix C). The work is purely observational, free of circular parameter reuse, and yields a clear, falsifiable contrast between the two physical scenarios.
major comments (2)
- §4.3 and Appendix C: The residual resolution + angular-diameter-distance bias is quantified by re-projecting the six high-z GALFIT models to z = 3.2 under MUSCATEL-SF conditions, recovering only the three largest (r_s,H > 2 kpc). This demonstrates that the bias cannot manufacture the absence of large high-z haloes or the null stack of the 12 non-detections. However, the main text still quotes a clean factor-of-three mean ratio and a KS p = 0.0008 without folding the Appendix C selection function into the reported distributions or the KS statistic. A short Monte-Carlo or re-weighted comparison that includes the factor ∼2 change in minimum detectable size would make the central claim fully robust against the paper’s own weakest assumption.
- §2.3 and §6.1: Seven of the 18 high-z LAEs lack JWST continuum counterparts, so stellar masses and SFRs are unavailable for them. The Bhattacharyya-distance comparison of M⋆ and SFR distributions (and the claim that sample differences cannot explain the halo-size change) is therefore performed only on the 11 objects with counterparts. Because the non-detections are among the faintest systems, it remains possible that the full high-z sample is systematically lower-mass than the low-z sample. Either assign conservative upper limits on M⋆ for the continuum-undetected objects or demonstrate that the scale-length and stacking results are unchanged when the comparison is restricted to the UV-detected subset.
minor comments (5)
- Table 2 caption: “measuredz>Lyαhalo” is missing spaces and a greater-than sign; correct to “measured z ≥ 6 Lyα halo o”.
- Fig. 3 caption: “F ourth column” contains a stray space; also the p0 values printed on the panels would be clearer if given to consistent precision.
- §2.2: The MUSCATEL survey description still contains the placeholder “XXXXXXXX, in preparation”; replace with the actual reference or “in prep.” once available.
- §5 and Fig. 7: The predicted virial FWHM bars rely on the Behroozi et al. (2013) SMHM relation extrapolated to low masses and high z; a brief note on the systematic uncertainty of that conversion would help the reader gauge the “little evidence for further broadening” statement.
- Appendix A Fig. A.1: The three panels share the same y-axis label “SB(z = 3.2)”; adding a short note that the high-z points have already been scaled by the dimming factor would avoid confusion.
Circularity Check
No significant circularity: purely observational comparison of matched samples with standard exponential+continuum fits and self-calibrated detection; no predictions forced by construction or load-bearing self-citation chains.
full rationale
The paper's central results (factor-of-three smaller LAH scale lengths at z≥6, null high-z stack of non-detections vs. significant low-z stack, narrower line widths) are direct measurements from MUSE NB images and spectra of two samples constructed to share the same intrinsic SB sensitivity via Eq. 1 and Fig. 2. Detection uses a conventional p0=0.05 threshold self-calibrated on empty-field χ^{2} distributions (Sect. 3.2), not tuned to the result. Halo modelling (Sect. 4.1) adopts the literature-standard sum of UV-continuum template plus exponential, with free parameters fitted to the data and reported; no fitted parameter is re-used to 'predict' a related observable. Stacking (Sect. 4.3, App. A) and upper limits (App. B) are likewise empirical. Prior MUSE results (LW16, FL17) by overlapping authors are cited only for methodological continuity and comparison of lower-z distributions, not as uniqueness theorems or load-bearing premises that force the high-z outcome. Appendix C quantifies residual PSF/DA biases via mocks without circular reuse. The derivation chain is therefore self-contained observational analysis against external data, with no reduction of claims to their own inputs by definition or fit.
Axiom & Free-Parameter Ledger
free parameters (3)
- p0 detection threshold =
0.05
- narrow-band spectral width =
~11.25 Å
- exponential halo scale length rs,H and flux fraction fH =
median ~1.5–2 kpc (z≥6) vs ~5 kpc (z~3)
axioms (4)
- domain assumption Cosmological surface-brightness dimming scales exactly as (1+z)^4 and can be inverted to match intrinsic SB sensitivity between redshifts (Eq. 1).
- domain assumption The UV continuum spatial distribution, after PSF convolution, is an adequate null model for the unscattered Lyα core.
- standard math ΛCDM cosmology with H0=70, Ωm=0.3, ΩΛ=0.7 for converting angular to physical scales.
- domain assumption Behroozi et al. (2013) stellar-mass–halo-mass relation plus Evrard et al. (2008) virial calibration give indicative 1-D velocity dispersions.
read the original abstract
We present a comparative study of Ly$\alpha$ haloes (LAHs) around low-luminosity (L$_{\mathrm{Ly}\alpha}\lesssim 10^{42}$ erg s$^{-1}$) Ly$\alpha$-emitting galaxies (LAEs) at very high redshifts $z\geq6$ and a reference sample at $z\sim 3$ covering a similar Ly$\alpha$ luminosity and host galaxy stellar mass range. Using data from the Multi-Unit Spectroscopic Explorer (MUSE) at the ESO VLT, we extracted the samples such that at the different redshifts we obtain the same intrinsic surface brightness sensitivity, accounting for cosmological dimming. We detect extended Ly$\alpha$ emission around 6 out of 18 high-$z$ LAEs in the MUSE eXtremely Deep Field (MXDF), more than doubling the number of known such objects at $z\geq6$. We obtain an only slightly higher individual LAH detection fraction of 40% among the lower redshift comparison sample. Yet the typical exponential scale lengths at $z\geq6$ are three times smaller than those at $z\sim3$. Stacking the LAEs with undetected haloes gives again drastically different results for the two samples, with a highly significant halo detection at $z\sim 3$ but no trace of extended Ly$\alpha$ emission at $z\geq6$. We also find the Ly$\alpha$ spectral line widths of the high-$z$ sample to be $\sim$2.5 smaller in comparison to the lower redshift objects. We discuss the potential mechanisms driving such strong changes. In a reionisation-driven scenario the higher neutral fraction in the intergalactic and circumgalactic media might lead to substantial scattering losses of escaping Ly$\alpha$ radiation, leaving detectable only emission from the vicinity of the star-forming regions. In an alternative scenario the LAH properties might be linked more closely to the evolution of their host galaxies than previously thought.
Figures
Reference graph
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work page internal anchor Pith review Pith/arXiv arXiv doi:10.3847/1538-4357/adb430
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[67]
Deep investigation of neutral gas origins (DINGO): H I stacking experiments with early science data. , keywords =. doi:10.1093/mnras/stac3065 , archivePrefix =. 2210.09697 , primaryClass =
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[68]
The Cosmic Baryon and Metal Cycles. , keywords =. doi:10.1146/annurev-astro-021820-120014 , archivePrefix =. 2011.01935 , primaryClass =
Pith/arXiv arXiv doi:10.1146/annurev-astro-021820-120014 2011
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[69]
Statistical properties of damped Lyman-alpha systems from Sloan Digital Sky Survey DR12. , keywords =. doi:10.1093/mnras/stw3246 , archivePrefix =. 1610.01165 , primaryClass =
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[70]
Damped Lyman- absorbers from Sloan digital sky survey DR16Q with Gaussian processes. , keywords =. doi:10.1093/mnras/stab2169 , archivePrefix =. 2103.10964 , primaryClass =
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[71]
NEUTRALUNIVERSEMACHINE: Predictions of H I gas in different theoretical models. , keywords =. doi:10.1051/0004-6361/202452697 , archivePrefix =. 2410.19340 , primaryClass =
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[72]
Neutral island statistics during reionization from 21-cm tomography
Neutral island statistics during reionization from 21-cm tomography. , keywords =. doi:10.1093/mnras/stz2224 , archivePrefix =. 1903.01294 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1093/mnras/stz2224 1903
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[73]
Atomic and molecular gas in IllustrisTNG galaxies at low redshift. , keywords =. doi:10.1093/mnras/stz1323 , archivePrefix =. 1902.10714 , primaryClass =
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[74]
3D Ly radiation transfer. I. Understanding Ly line profile morphologies. , keywords =. doi:10.1051/0004-6361:20065554 , archivePrefix =. astro-ph/0608075 , primaryClass =
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[75]
Lyman- Spectra from Multiphase Outflows, and their Connection to Shell Models. , keywords =. doi:10.3847/0004-637X/826/1/14 , archivePrefix =. 1604.06805 , primaryClass =
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[76]
Modeling 237 Lyman- spectra of the MUSE-Wide survey. , keywords =. doi:10.1051/0004-6361/201731791 , archivePrefix =. 1709.07008 , primaryClass =
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[77]
Ly Radiative Transfer: Modeling Spectrum and Surface Brightness Profiles of Ly -emitting Galaxies at Z = 3-6. , keywords =. doi:10.3847/1538-4357/abac02 , archivePrefix =. 2007.08172 , primaryClass =
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[78]
LSDCat: Detection and cataloguing of emission-line sources in integral-field spectroscopy datacubes. , keywords =. doi:10.1051/0004-6361/201629507 , archivePrefix =. 1703.05166 , primaryClass =
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[79]
JWST/NIRSpec Observations of Lyman Emission in Star-forming Galaxies at 6.5 z 13. , keywords =. doi:10.3847/1538-4357/ad7eb7 , archivePrefix =. 2408.01507 , primaryClass =
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[80]
The Lensed Lyman-Alpha MUSE Arcs Sample (LLAMAS). I. Characterisation of extended Lyman-alpha halos and spatial offsets. , keywords =. doi:10.1051/0004-6361/202142320 , archivePrefix =. 2201.04674 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1051/0004-6361/202142320
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