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REVIEW 4 major objections 4 minor 55 references

In the hydrodynamical simulations analyzed here, gas-poor galaxy clusters do not show a deficit in their integrated Sunyaev-Zeldovich signal at fixed mass, because their lower gas density is offset by higher temperature.

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In the Three Hundred simulations, gas-poor clusters are preferentially low-mass, hotter, more diffuse, less connected to cosmic filaments, and their Compton-Y signal does not deviate from normal clusters because density loss is offset by heat gain.

T0 review reviewed 2026-08-02 challenge →

load-bearing objection Interesting simulation-vs-observation tension, but the central 'no Y deficit' claim needs a direct fixed-mass residual test before it can carry the weight the paper puts on it. the 4 major comments →

arxiv 2607.12607 v2 pith:VFY3Y55R submitted 2026-07-14 astro-ph.GA astro-ph.CO

The Three Hundred project: Low Gas Fraction Galaxy Clusters properties and their environment

Francesco Guidi , Marco De Petris , Sara Santoni , Raphael Wicker , Antonio Ferragamo , Hippolyte Froget , Stefano Andreon , Weiguang Cui
show 2 more authors
Elena Rasia Gustavo Yepes
This is my paper
classification astro-ph.GA astro-ph.CO
keywords galaxy clustersintracluster mediumgas fractionSunyaev-Zeldovich effectscaling relationsAGN feedbackcosmic web connectivityhydrodynamical simulations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

The reading

Galaxy clusters with unusually low gas fraction are missed by X-ray and Sunyaev-Zeldovich surveys, raising the question of whether their exclusion biases cluster scaling relations. Using a suite of cosmological hydrodynamical zoom-in simulations with about 10,000 cluster-mass halos, this paper selects low-gas-fraction clusters (LGFCs) as the extreme negative outliers in the gas-fraction–mass relation. It finds that LGFCs are preferentially low-mass and become more abundant toward the present day, that they have lower gas density in their cores and higher temperatures, and that they live in less connected regions of the cosmic web. Crucially, despite having less gas, LGFCs do not appear as negative outliers in the Y–mass relation: their lower gas density is compensated by higher temperature in the pressure integral, leaving the fitted Y–M power law essentially unchanged. The paper concludes that, within this model, missing gas-poor clusters would not bias SZ-based scaling relations, contrary to observational claims, though it cautions that the simulated sample is incomplete at low mass and environmentally biased.

Core claim

The paper's central claim is that low-gas-fraction clusters—selected as the 3σ negative tail of the gas-fraction–mass residuals—form a physically distinct population: at fixed mass they are hotter, more diffuse, higher-entropy, and less connected to cosmic-web filaments, and their fractional abundance grows toward low redshift and low mass. Yet when placed on the integrated Compton-Y–mass scaling relation, LGFCs do not stand out as negative outliers; the best-fit slope and normalization shift by no more than about one sigma when LGFCs are included (for example, at z=0 the slope changes from B=1.63±0.01 to 1.62±0.01, with normalization unchanged). The stated mechanism is that the integrated S

What carries the argument

The key objects are low-gas-fraction clusters, defined statistically as the most extreme negative outliers (below the local mean minus 3 times the positive-side scatter) in the f_g,500–M_500 relation. The load-bearing identity is the spherically integrated Compton parameter, Y_500,sph ∝ ∫ n_e T dV: in LGFCs the low gas density and high temperature partially cancel, so the pressure integral stays near the population average. Supporting analysis uses stacked radial gas-density and mass-weighted temperature profiles in narrow mass bins, the connectivity parameter k_500 (the number of filaments linked within R_500), and power-law fits to the Y–M relation with and without LGFCs. The cancellation

Load-bearing premise

That the low-mass galaxy clusters in the simulated sample are representative of real low-mass galaxy clusters; in fact, they are only the systems found near the most massive clusters, so the simulated LGFC population may be an artifact of this zoom-in environment.

What would settle it

Take a mass-complete, volume-limited sample (observational or simulated) spanning roughly 10^13.5 to 10^15 solar masses, identify low-gas-fraction clusters by the same residual criterion at fixed mass, and measure their integrated Y_500,sph. If a significant negative Y offset appears relative to the general population—as reported for the gravity-selected observational sample—then the density–temperature compensation seen here is not universal and the paper's central conclusion would fail.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

If this is right

  • Within the simulated model, galaxy cluster samples selected by SZ signal are not biased by the exclusion of low-gas-fraction clusters, since their inclusion leaves the Y–M scaling relation essentially unchanged.
  • The fractional abundance of LGFCs grows from about 2.4% at z≈0.8 to about 9.6% at z=0 in this sample, so any effect on scaling relations becomes more significant at low redshift and for group-scale surveys.
  • LGFCs are preferentially low-mass and increasingly disconnected from filaments, suggesting that a reduced gas supply (environmental starvation), combined with internal feedback, can deplete the ICM without changing the integrated pressure.
  • LGFCs show higher temperature and entropy at fixed mass, meaning they are not simply scaled versions of the average cluster population and must be treated as a non-self-similar component.
  • Hydrostatic mass biases estimated from X-ray and SZ profiles are not significantly different between LGFCs and the rest of the population, so their presence does not add a distinct systematic error to mass estimates.

Where Pith is reading between the lines

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

  • If the density–temperature compensation holds for real gas-poor clusters, SZ surveys may be robust to this selection effect, and the Y deficit reported for gravity-selected observational samples would point to stronger or more efficient feedback in real clusters than in the simulation code used here.
  • Because the simulated low-mass objects are taken only from the vicinity of the most massive clusters, the LGFC population studied here may resemble groups that have been tidally or ram-pressure stripped; isolated low-mass field clusters, which dominate real survey volumes, could behave differently and are a direct test of this result.
  • A testable prediction follows: simulation variants with stronger AGN feedback or with no feedback should bracket the behavior—stronger feedback could break the temperature compensation and reproduce the observed Y deficit, while weaker feedback should make LGFCs even less distinct.
  • The same density deficit that leaves Y unchanged should make LGFCs extreme low-surface-brightness outliers in X-ray luminosity (since L_X ∝ n_e^2), so X-ray selected samples remain biased even if SZ samples do not.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

4 major / 4 minor

Summary. The paper analyzes The Three Hundred Gadget-X simulations to identify low-gas-fraction clusters (LGFCs) as negative outliers in the f_g,500–M_500 relation, and to study their abundance, environment, thermodynamic profiles, and scaling relations. LGFCs are found to be preferentially low-mass, to become more abundant toward z=0, to have lower central gas density and higher temperature, and to appear as positive entropy outliers. The central claim is that, contrary to recent observational work, LGFCs do not deviate from the No-LGFC population in the Y_sph,500–M_500 relation, so their inclusion leaves the fitted normalization and slope essentially unchanged. The authors also examine X-ray and SZ hydrostatic mass bias and find no LGFC-specific difference. The paper explicitly acknowledges that the simulated sample is mass-incomplete at low masses and environmentally biased, and cautions against direct generalization. The analysis is transparent but, for the key Y–M null result, relies on comparing global fit parameters rather than on a fixed-mass residual test.

Significance. If the main claim were fully established, it would be important: it would imply that, within the Gadget-X model, gas-poor clusters do not bias SZ scaling relations, contradicting the observational Y deficit reported by Andreon & Radovich (2025) and pointing toward feedback-model or selection explanations. The paper is methodologically transparent, uses a well-known public simulation suite, and presents useful profile and bias comparisons. However, the significance is currently limited by (i) the absence of a direct fixed-mass residual test for the Y–M claim, (ii) the partly constructed nature of the entropy-outlier statement, and (iii) the acknowledged environmental bias and mass incompleteness of the sample. These are fixable within the manuscript's scope, so the central idea remains viable.

major comments (4)
  1. [§5.3, Table 3, Fig. 9] The claim that LGFCs are 'not negative outliers' and do not bias the Y–M relation is supported only by comparing the best-fit A and B for the No-LGFC sample with the fit for the total sample. No fixed-mass residual distribution, binned median offset, outlier count, or significance test is presented. This matters because LGFCs are only ~9.6% of the sample at z=0 and are concentrated at low mass. A median Y deficit of ~20% among LGFCs would shift log-normalization by roughly 0.009 dex, comparable to the quoted ±0.01 uncertainty on A. Thus the unchanged A and the 0.01 change in B do not exclude a real negative offset. Please add a direct residual analysis (e.g., log Y − fit(No-LGFC) versus mass, with bootstrap/KS comparisons between LGFC and No-LGFC) and report the covariance between A and B.
  2. [§5.2, Eq. (7)] The statement that LGFCs are 'extreme positive outliers' in entropy is substantially constructed by the selection: since K_e ∝ n_e^{-2/3} T and LGFCs are selected as the lowest gas fraction at fixed mass, they have low mean n_e within R_500, so high K follows even at unchanged T. The paper separately reports a temperature enhancement, which is the physically independent part, but the entropy claim should be decomposed into the selection-driven density contribution and the temperature contribution, with the latter quantified at fixed mass. Otherwise the entropy result reads as a restatement of the selection rather than an independent finding.
  3. [§2.1, §7(iv), Abstract] The authors correctly and repeatedly state that the sample is 'strictly limited to groups around rich clusters', making it mass-incomplete at low masses and environmentally biased. This directly affects the reported growth of LGFC abundance with time (Fig. 3), the low-mass-end preference, the connectivity result (Fig. 7, which is not mass-matched), and the generalizability of the Y–M null result. The caveat is explicit, but the paper's abstract and Sect. 5.3 phrase the result as if it tests the observed LGFC population. Please either restrict the conclusions explicitly to the simulated sample and its selection geometry, or add a mass-complete/environment-controlled comparison to support the claimed generality.
  4. [§3.2, Eq. (4)] The LGFC selection assumes that the positive side of each mass-bin residual distribution is Gaussian and that the negative tail is a distinct population. No goodness-of-fit test or mixture-model comparison is provided. Since the threshold µ−3σ+ defines the entire LGFC sample, the stability of the selection to the Gaussian assumption and to the binning choice should be demonstrated, especially because the final conclusions are sensitive to which objects are called LGFCs.
minor comments (4)
  1. [Fig. 6 caption] The caption says 'Same as Fig. 4.1' but should refer to Fig. 5. Also check cross-references throughout, as several appear to have been inserted by the production system.
  2. [§3.2, Table 2] The column header 'LGFC abundancy (%)' should be 'LGFC abundance (%)'. The increasing abundance toward z=0 would also benefit from a significance estimate beyond counting statistics, given the small numbers at high z.
  3. [§4.3] For z=0.817 the comparison uses z=1 connectivity from Santoni et al. (2024) because that is the closest snapshot. This redshift mismatch and the small LGFC number at z=0.817 should be stated more prominently, since the paper does note that the z=0.817 result is not statistically robust.
  4. [§5.3, Eq. (8)] The fitting procedure for Eq. (8) is not described: it is not stated whether the fit is ordinary least squares in log space, whether intrinsic scatter is modeled, or how the reported errors are derived. This matters for interpreting the parameter shifts in Table 3.

Circularity Check

1 steps flagged

Partial circularity: the entropy-excess claim for LGFCs is a restatement of the LGFC selection combined with the definition K ∝ n_e^{-2/3}T; the main Y_sph,500 null result is independent.

specific steps
  1. self definitional [Sect. 5.2 (Eq. 7) with Sect. 3.2 (Eqs. 3-4)]
    "We compute the electron entropy K_e,500 by integrating within R500 its radial profile, given by: K_e(r)=n_e(r)^{-2/3} k_B T_mw(r) ... we select LGFCs as those objects whose residuals satisfy the following: Δf_g,500,i < μ_j−3σ+j."

    At fixed M500, the selection variable f_g,500 is the gas mass fraction within R500, i.e. a volume-averaged electron density. Eq. 7 defines K ∝ n_e^{-2/3}T. Therefore any object selected as a negative f_g outlier automatically has high K at comparable T. Presenting 'LGFCs are extreme positive outliers' in entropy as a new finding is a restatement of the selection criterion plus Eq. 7, not an independent empirical result. The temperature enhancement is independently measured, but the entropy-excess claim itself is forced by the definition of LGFCs.

full rationale

The paper's central scientific claim is that LGFCs do not deviate from the Y_sph,500-M500 relation at fixed mass (Sect. 5.3, Table 3). That claim is based on direct 3D integration of Y from simulated particles, so it does not reduce to the LGFC selection; the unchanged fit parameters when adding LGFCs are a measured outcome, not an input. However, one highlighted result is partially circular: the entropy excess. LGFCs are defined as the most negative residuals in f_g,500 at fixed mass, and Eq. 7 defines entropy as K = n_e^{-2/3}T. Since f_g at fixed mass is proportional to n_e, selecting low-f_g objects guarantees high-K objects at comparable T. Calling them 'extreme positive outliers' in the K-M plane thus repeats the selection in new thermodynamic coordinates. The mass incompleteness and environmental bias of the sample are acknowledged by the authors and are a representativeness caveat, not a circularity. Self-citations to Rasia et al. (2025) and Santoni et al. (2024) are used for model choices and expected correlations, but the paper verifies the parabolic fit itself and does not rely on a uniqueness theorem; those citations are not load-bearing enough to raise the score further. Overall, the main Y result is independent, but the entropy-excess sub-claim is a construction from the selection, giving a partial circularity score of 4.

Axiom & Free-Parameter Ledger

5 free parameters · 5 axioms · 0 invented entities

The central statements rest on the outlier selection, which depends on per-redshift parabolic fits and per-mass-bin Gaussian fits (μj, σ+_j), plus the domain assumption that Gadget-X feedback physics generates the real LGFC population. The entropy-excess claim is partly implied by the selection (low density → high K at fixed T). No new physical entities are introduced; 'LGFC' is a statistical label for a 3σ-negative tail of the f_g-M500 residuals.

free parameters (5)
  • Parabolic fg-M500 fit coefficients A, B, C (Eq. 2) = not tabulated in text; shown only as curves in Fig. A.1
    Fit to each redshift snapshot defines the baseline relation from which LGFC residuals (Eq. 3) are measured; local fit mismatches δj (-0.019 to +0.038) shift the outlier threshold.
  • Per-mass-bin residual Gaussian parameters μj, σ+_j = e.g., σ+ = 0.059 for the lowest mass bin at z=0 (Fig. 2)
    The LGFC count at every redshift depends directly on these fits (Eq. 4); the 3σ+ threshold selects 2-10% of the sample.
  • Y-M fit normalization A and slope B (Eq. 8) = A = 0.39–0.60, B = 1.58–1.63 (Table 3)
    Used to compare No-LGFC vs Total populations; the negligible change (B 1.63 to 1.62 at z=0) is the central null result.
  • 3σ selection threshold = 3
    Chosen by hand; the population size N_LGFC scales with this choice, so all abundance claims inherit it.
  • Gas temperature cut T > 0.3 keV for M_g = 0.3 keV
    Selects the X-ray/SZ-emitting gas (Sect. 3.1); directly controls f_g values and hence LGFC selection.
axioms (5)
  • domain assumption The Gadget-X subgrid physics (cooling, star formation, chemical evolution, two-mode AGN feedback) reproduces the ICM thermodynamics of real clusters
    Sect. 2; the entire LGFC population is a product of this feedback model, and only one implementation is tested.
  • domain assumption The parabolic functional form for fg-M500 (Eq. 2) is the correct baseline at all masses and redshifts
    Sect. 3.1, adopted from Rasia et al. (2025); the very low r²≈0.03 of the fit and the δj mismatches make the baseline fragile.
  • ad hoc to paper The positive side of each mass-bin residual distribution is Gaussian and represents the 'normal' population; the negative tail is a distinct physical population
    Sect. 3.2/Eq. 4; if the negative tail is merely intrinsic scatter, LGFCs are a selection artifact rather than a physical population.
  • domain assumption MDPL2 zoom-in initial conditions plus Planck 2015 cosmology adequately model large-scale structure
    Sect. 2; all environmental and redshift-evolution claims inherit this assumption.
  • domain assumption AHF-derived M500 is an unbiased total mass estimator
    Sect. 2.1; f_g and all scaling relations use M500 as the independent variable.

reviewed 2026-08-02 · how reviews work

0 comments
Cite this review

Pith. "Pith review of The Three Hundred project: Low Gas Fraction Galaxy Clusters properties and their environment." pith.science (2026). https://pith.science/paper/VFY3Y55R

@misc{pith2026260712607,
  author       = {Pith},
  title        = {Pith review of: The Three Hundred project: Low Gas Fraction Galaxy Clusters properties and their environment},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/VFY3Y55R}},
  note         = {Machine review of arXiv:2607.12607}
}
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read the original abstract

Galaxy cluster samples based on X-ray and Sunyaev-Zel'dovich (SZ) observations are affected by selection biases. These catalogs preferentially include systems with high gas content and surface brightness. Excluding objects with depleted gas content, low-gas-fraction clusters (LGFCs), could lead to an incomplete sampling. We aim to investigate the abundance and the properties of the LGFCs population using The Three Hundred hydrodynamical simulations, focusing on the Gadget-X code. In particular, we study outliers in the $f_{\mathrm{g},500} - M_{500}$ relation, environmental influences, and their behavior in key scaling relations, with a focus on the Compton-Y observable. We analyze a sample of $N_{\mathrm{tot}} = 9858$ simulated objects from The Three Hundred, in the redshift band $z \in [0;0.817]$. LGFCs are selected statistically as outliers of the $f_{\mathrm{g},500}-M_{500}$ relation. To analyze environmental effects, we compare the gas density and temperature radial profiles of LGFCs against the No-LGFCs population. Finally, we study how the temperature, entropy, and spherical Compton parameter scaling relations are affected by the inclusion of LGFCs. We find that LGFCs are preferentially found at the low-mass end and their abundance increases toward low redshift. Radial profiles of LGFCs show lower gas concentrations in the core regions and higher temperatures, suggesting a more diffuse and heated ICM. This behavior is also reflected in the entropy scaling relation, where LGFCs are extreme positive outliers. Contrary to observations, the $Y_{\mathrm{sph},500}$ values of LGFCs show no significant deviation from the general population. Nevertheless, we cannot rule out that these differences are partly driven by the mass incompleteness at the low-mass end and the environmental bias of our simulated sample.

Figures

Figures reproduced from arXiv: 2607.12607 by Antonio Ferragamo, Elena Rasia, Francesco Guidi, Gustavo Yepes, Hippolyte Froget, Marco De Petris, Raphael Wicker, Sara Santoni, Stefano Andreon, Weiguang Cui.

Figure 1
Figure 1. Figure 1: Upper panel: fg,500 − M500 relation. The black error bars indicate the median values of fg,500 with the 16th − 84th per￾centiles in every mass bin. The blue solid line is the best-fit to the data (Eq. 2). The magenta horizontal dashed line and its cor￾responding shaded area indicate the universal gas fraction value (Eckert et al. 2019). Lower panel: Gas fraction residuals ∆fg,500,i for our GCs sample. The … view at source ↗
Figure 3
Figure 3. Figure 3: Redshift dependence of the LGFC population fraction. [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Comparison of our fg,500 − M500 derived from the simu￾lation with observational datasets. Simulated data are reported as gray (No-LGFC population) and red (LGFC population) points. The brown curve is the best-fit relation (Eq. 2) on the full simulated sample. The black circles are the XUCS sample data (Andreon et al. 2016), with blue squares indicating their LGFCs. The data of Eckert et al. (2019), Lovisar… view at source ↗
Figure 5
Figure 5. Figure 5: Gas density profiles ρgas(r) for six tight mass bins and for every redshift, plotted as a function of the normalized radius r/R500. Solid lines are the profiles for the No-LGFCs, while the dashed profiles are those for the LGFCs population. Lines are colored by redshift value. Gray shaded region represents the intrinsic scatter for the No-LGFCs population, the hatching band those for the LGFCs population. … view at source ↗
Figure 6
Figure 6. Figure 6: Same as Fig [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Connectivity k500 distributions for LGFCs (red points) and No-LGFCs (blue points) at z = 0 (left panel) and at z = 0.817 (right panel). Vertical error bars represent the 1σ uncertainty derived by a Bayesian approach. 1 10 Tm w, 5 0 0 [ k e V ] z = 0.000 No-LGFC Medians LGFC Medians z = 0.817 10 14 10 15 10 3 Ke, 5 0 0 [ k e V c m 2 ] 10 14 10 15 M500 [h 1M ] [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Upper panels: Tmw,500 − M500 trend. Bottom panels: Ke,500 − M500 trend. On the left-hand column we show the relations at redshift z = 0, while on the right-hand column at redshift z = 0.817. Gray points with errorbars refer to the No-LGFCs population medians and 16th-84th percentiles, while the red ones are those belonging to LGFCs only. For each mass bin, red points are slightly mass shifted for clarity. … view at source ↗
Figure 9
Figure 9. Figure 9: Y500,sph − M500 scaling relation for our simulated data at z = 0 (left panel) and z = 0.817 (right panel). The blue solid line is the No-LGFCs only fit, the red dashed is the fit performed on the total population. Note that the two best-fit lines are overlapping. (ii) The environmental properties of LGFCs are investigated by analyzing the radial gas density profiles, mass-weighted tem￾perature profiles, an… view at source ↗

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    arXiv 2026

This paper was first reviewed by deepseek-v4-flash on August 2, 2026.