Far-infrared observations of dust in Lyα emitters at z=2-6
Pith reviewed 2026-07-02 17:58 UTC · model grok-4.3
The pith
Non-zero Lyα escape fractions persist in massive and AGN-hosting dusty LAEs at z=2-6.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Far-infrared observations of the SC4K LAE sample show that individually detected AGN-hosting LAEs and stacks of massive systems have Lyα escape fractions of 1-7 percent while undetected stacks reach at least 10 percent, producing an overall average above 21 percent with significant scatter; the results imply a clumpy ISM dust geometry that permits escape even in dusty galaxies and yield higher IRX values than seen in typical star-forming galaxies at similar redshifts.
What carries the argument
Stacking analysis of far-infrared fluxes for individually undetected LAEs, combined with direct measurements of f_esc(Lyα) and IRX, to compare subsets divided by redshift, stellar mass, Lyα luminosity and AGN status.
If this is right
- Stellar mass and AGN activity increase dust visibility in LAEs at these redshifts.
- Escape fractions remain non-zero in the detected massive and AGN-hosting subsets.
- The full LAE population shows an average escape fraction exceeding 21 percent with large scatter.
- LAEs lie above the standard IRX-β_UV relation followed by typical star-forming galaxies.
- Deeper far-infrared observations are required to probe lower-mass systems.
Where Pith is reading between the lines
- Reionization calculations may need to include contributions from obscured but still leaking systems.
- Clumpy dust geometries could reconcile high escape fractions with the presence of substantial dust.
- The higher IRX values may indicate that LAE selection favors galaxies with particular dust-star geometries.
Load-bearing premise
The stacking analysis on individually undetected LAEs supplies an unbiased average representation of the population properties without significant contamination or selection effects from the SC4K sample definition.
What would settle it
Individual far-infrared detections or deeper non-detections for a large sample of massive non-AGN LAEs that yield escape fractions inconsistent with the 1-7 percent range found in the detected stacks.
Figures
read the original abstract
The bright Ly$\alpha$ line is regularly used to identify high-redshift star-forming galaxies known as Ly$\alpha$ emitters (LAEs). However, Ly$\alpha$ is affected by resonant scattering and dust absorption making interpretation of its brightness challenging without additional observations. We use SCUBA-2, PACS and SPIRE data to investigate the far-infrared emission, Ly$\alpha$ escape fraction ($f{esc}$(Ly$\alpha$)) and infrared excess (IRX=LIR/LUV) in $\sim$4000 LAEs at z=2.2-6 from SC4K. Five LAEs, all hosting AGN, are individually detected with fluxes $S_{850}$ = 3.7-5.5 mJy at 850$\mu\mathrm{m}$. Stacking is used to probe the average emission from all individually undetected LAEs, though the stacks are undetected at all wavelengths (e.g. $S_{850}$ < 0.09 mJy; 3$\sigma$). We group the sample into bins of redshift, stellar mass, Ly$\alpha$ luminosity and AGN status. Most subsets are undetected but LAEs containing AGN and that have high stellar masses ($M_{\star} = 10^{10} - 10^{12}\, M_{\odot}$; including and excluding AGN) are detected at most wavelengths, suggesting that stellar mass and AGN heating may be enhancing the dust visibility. Individually detected LAEs and detected stacks have $f{esc}$(Ly$\alpha$)=1-7%, while all undetected stacks $\geq$ 10%. All LAEs together average over > 21% and display significant scatter, suggesting a clumpy ISM dust distribution. Non-zero $f{esc}$(Ly$\alpha$) in massive and AGN-hosting LAEs suggests ionizing photons may escape even from dusty galaxies, challenging the idea that dusty galaxies are poor leakers. Examination of the IRX-$\beta_{UV}$ relation shows LAEs have higher IRX than typical star-forming galaxies at similar redshifts. However, our detections tend to favour more massive, AGN-hosting systems and deeper observations are therefore needed.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports far-infrared observations with SCUBA-2, PACS and SPIRE of ~4000 LAEs at z=2.2-6 selected from SC4K. Five AGN-hosting LAEs are individually detected at 850 μm (S_850=3.7-5.5 mJy); stacking of the remaining undetected sources yields non-detections in most subsets but detections in high-mass (M⋆=10^{10}-10^{12} M⊙) and AGN-hosting bins. Derived f_esc(Lyα) values are 1-7% for the detected sources/stacks and ≥10% for undetected stacks, with an overall sample average >21%; IRX is elevated relative to typical star-forming galaxies at similar redshifts. The work concludes that non-zero escape fractions in massive/AGN LAEs imply ionizing photons can escape even from dusty systems, challenging the view that dusty galaxies are poor leakers, and attributes the scatter to a clumpy ISM.
Significance. If the stacking results prove robust against selection and confusion effects, the large sample and binning by mass, redshift, luminosity and AGN status would provide valuable observational constraints on dust attenuation and Lyα escape at high redshift. The direct FIR detections in the AGN and high-mass subsets, together with the reported IRX elevation, offer a concrete test of escape mechanisms in dusty environments.
major comments (3)
- [Stacking analysis] Stacking analysis (as described following the individual detections): the procedure does not detail weighting scheme, error propagation, or quantitative assessment of contamination from the large FIR beam sizes (SCUBA-2 850 μm, PACS/SPIRE), which directly affects the reliability of the detected stacks in the M⋆=10^{10}-10^{12} M⊙ bins that underpin the non-zero f_esc(Lyα) claim for dusty systems.
- [f_esc derivation] f_esc(Lyα) values (1-7% for detected LAEs and stacks; overall average >21%): the conversion from stacked FIR fluxes to L_IR and then to escape fraction is not specified, including any assumptions about dust temperature or geometry, making it impossible to evaluate whether the reported non-zero values in the massive/AGN subsets are robust against the SC4K Lyα selection bias.
- [Sample and subset analysis] Sample definition and subset results: the potential bias introduced by the SC4K Lyα selection (which favors systems with some escape) on the high-mass and AGN stacks is not quantified, yet these subsets are load-bearing for the central claim that ionizing photons escape from dusty galaxies.
minor comments (2)
- [Abstract] Abstract contains LaTeX formatting artifacts (f{esc}(Lyα) instead of f_esc(Lyα)) and an imprecise statement of the overall average escape fraction without indicating how it is computed from the subset values.
- [Abstract] The statement that 'deeper observations are therefore needed' is appropriate but would benefit from a brief discussion of the current sensitivity limits relative to the reported stack upper limits (e.g., S_850 < 0.09 mJy).
Simulated Author's Rebuttal
We thank the referee for the thorough and constructive review. We address each major comment point-by-point below, agreeing to revisions that clarify methods and strengthen the analysis where appropriate.
read point-by-point responses
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Referee: [Stacking analysis] Stacking analysis (as described following the individual detections): the procedure does not detail weighting scheme, error propagation, or quantitative assessment of contamination from the large FIR beam sizes (SCUBA-2 850 μm, PACS/SPIRE), which directly affects the reliability of the detected stacks in the M⋆=10^{10}-10^{12} M⊙ bins that underpin the non-zero f_esc(Lyα) claim for dusty systems.
Authors: We agree that the stacking procedure requires more explicit documentation to ensure reproducibility and to evaluate beam confusion effects. In the revised manuscript we will add a dedicated methods subsection specifying the inverse-variance weighting scheme, bootstrap-based error propagation, and quantitative contamination assessment via source-injection simulations matched to the SCUBA-2, PACS and SPIRE beam sizes. These additions will directly support the robustness of the high-mass and AGN stack detections. revision: yes
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Referee: [f_esc derivation] f_esc(Lyα) values (1-7% for detected LAEs and stacks; overall average >21%): the conversion from stacked FIR fluxes to L_IR and then to escape fraction is not specified, including any assumptions about dust temperature or geometry, making it impossible to evaluate whether the reported non-zero values in the massive/AGN subsets are robust against the SC4K Lyα selection bias.
Authors: We acknowledge that the conversion steps from stacked fluxes to L_IR and f_esc(Lyα) were insufficiently detailed. The revised text will explicitly describe the modified-blackbody SED fitting (dust temperatures 35–45 K), bolometric corrections, the adopted f_esc formula, and geometry assumptions, together with sensitivity tests to temperature and a note on how the SC4K selection enters the calculation. This will permit direct evaluation of the non-zero escape fractions in the massive/AGN subsets. revision: yes
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Referee: [Sample and subset analysis] Sample definition and subset results: the potential bias introduced by the SC4K Lyα selection (which favors systems with some escape) on the high-mass and AGN stacks is not quantified, yet these subsets are load-bearing for the central claim that ionizing photons escape from dusty galaxies.
Authors: The referee correctly notes that the Lyα selection bias must be addressed. While a complete statistical de-biasing would require modeling beyond the present data, we will add a focused discussion paragraph that quantifies the bias using literature comparisons of LAE versus continuum-selected fractions at comparable masses and redshifts, and that discusses its implications for the escape-fraction results in the high-mass and AGN subsets. revision: partial
Circularity Check
Purely observational study; no derivations or fitted models present
full rationale
The paper performs direct flux measurements, stacking of undetected sources, and reports of f_esc(Lyα) and IRX from SCUBA-2/PACS/SPIRE data on the SC4K LAE sample. These are empirical results from survey observations with no equations, parameter fits, or model derivations that could reduce to the inputs by construction. No self-citations are load-bearing for any claimed result. This matches the default expectation for an observational astronomy paper with no theoretical chain.
Axiom & Free-Parameter Ledger
Reference graph
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A multi-wavelength study of z = 3.15 Lyman- emitters in the GOODS South Field. , keywords =. doi:10.1051/0004-6361:20066949 , archivePrefix =. 0706.1070 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1051/0004-6361:20066949
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[61]
Spitzer Constraints on the z=6.56 Galaxy Lensed by Abell 370
Spitzer Constraints on the z = 6.56 Galaxy Lensed by Abell 370. , keywords =. doi:10.1086/499205 , archivePrefix =. astro-ph/0510827 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1086/499205
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[62]
Physical Processes in Gaseous Nebulae. III. The Balmer Decrement. , year = 1938, month = jul, volume =. doi:10.1086/143959 , adsurl =
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[63]
A simple model to interpret the ultraviolet, optical and infrared emission from galaxies. , keywords =. doi:10.1111/j.1365-2966.2008.13535.x , archivePrefix =. 0806.1020 , primaryClass =
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[64]
Cold streams in early massive hot haloes as the main mode of galaxy formation
Cold streams in early massive hot haloes as the main mode of galaxy formation. , keywords =. doi:10.1038/nature07648 , archivePrefix =. 0808.0553 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1038/nature07648
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[65]
Predicting dust extinction from the stellar mass of a galaxy. , keywords =. doi:10.1111/j.1365-2966.2010.17321.x , archivePrefix =. 1007.1145 , primaryClass =
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[66]
SILVERRUSH. V. Census of Ly , [O III] 5007, H , and [C II] 158 m Line Emission with 1000 LAEs at z = 4.9-7.0 Revealed with Subaru/HSC. , keywords =. doi:10.3847/1538-4357/aabd80 , archivePrefix =. 1711.03735 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.3847/1538-4357/aabd80
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[67]
Infared Observations of Nebular Emission Lines from Galaxies at z = 3
Infrared Observations of Nebular Emission Lines from Galaxies at Z -0.5ex = 3. , keywords =. doi:10.1086/306431 , archivePrefix =. astro-ph/9806219 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1086/306431
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[68]
Dissecting the IRX- dust attenuation relation: exploring the physical origin of observed variations in galaxies. , keywords =. doi:10.1093/mnras/stx2202 , archivePrefix =. 1706.06587 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1093/mnras/stx2202
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[69]
The MOSDEF Survey: Measurements of Balmer Decrements and the Dust Attenuation Curve at Redshifts z -0.5ex 1.4-2.6. , keywords =. doi:10.1088/0004-637X/806/2/259 , archivePrefix =. 1504.02782 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/0004-637x/806/2/259
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[70]
, year = 1955, month = jan, volume =
The Luminosity Function and Stellar Evolution. , year = 1955, month = jan, volume =. doi:10.1086/145971 , adsurl =
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[71]
Reexamination of the Infrared Excess-Ultraviolet Slope Relation of Local Galaxies
Reexamination of the Infrared Excess-Ultraviolet Slope Relation of Local Galaxies. , keywords =. doi:10.1088/0004-637X/755/2/144 , archivePrefix =. 1206.3905 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/0004-637x/755/2/144
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[72]
Lyman-alpha spectral properties of five newly discovered Lyman continuum emitters
Lyman- spectral properties of five newly discovered Lyman continuum emitters. , keywords =. doi:10.1051/0004-6361/201629264 , archivePrefix =. 1609.03477 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1051/0004-6361/201629264
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[73]
Neutral gas in Lyman-alpha emitting galaxies Haro 11 and ESO 338-IG04 measured through sodium absorption. , keywords =. doi:10.1051/0004-6361/201220702 , archivePrefix =. 1303.2011 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1051/0004-6361/201220702 2011
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[74]
HST study of Lyman-alpha emission in star-forming galaxies: the effect of neutral gas flows
HST study of Lyman-alpha emission in star-forming galaxies: the effect of neutral gas flows. , keywords =. doi:10.48550/arXiv.astro-ph/9802253 , archivePrefix =. astro-ph/9802253 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.astro-ph/9802253
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[75]
Spectroscopic Properties of the z=4.5 Lyman-alpha Emitters
Spectroscopic Properties of the z -0.5ex 4.5 Ly Emitters. , keywords =. doi:10.1086/425572 , archivePrefix =. astro-ph/0409090 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1086/425572
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[76]
A Luminous Lyman-alpha Emitting Galaxy at Redshift z=6.535: Discovery and Spectroscopic Confirmation
A Luminous Ly -emitting Galaxy at Redshift z = 6.535: Discovery and Spectroscopic Confirmation. , keywords =. doi:10.1086/422094 , archivePrefix =. astro-ph/0403161 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1086/422094
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[77]
Monthly Notices of the Royal Astronomical Society , volume =
A remarkably high fraction of strong Ly emitters amongst luminous redshift 6.0 < z < 6.5 Lyman-break galaxies in the UKIDSS Ultra-Deep Survey. , keywords =. doi:10.1111/j.1365-2966.2012.20720.x , archivePrefix =. 1110.1722 , primaryClass =
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[78]
A Spectroscopic Survey of Ly Emitters and Ly Luminosity Function at Redshifts 3.7 and 4.8. , keywords =. doi:10.3847/1538-4357/ad0231 , archivePrefix =. 2310.07285 , primaryClass =
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[79]
Witnessing the onset of reionization through Lyman- emission at redshift 13. , keywords =. doi:10.1038/s41586-025-08779-5 , archivePrefix =. 2408.16608 , primaryClass =
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[80]
The Ly luminosity function at z = 5.7 - 6.6 and the steep drop of the faint end: implications for reionization. , keywords =. doi:10.1093/mnras/stw2076 , archivePrefix =. 1606.07435 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1093/mnras/stw2076
discussion (0)
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