REVIEW 2 major objections 3 minor 56 cited by
ACT DR6 lensing map gives σ8 = 0.819 ± 0.015 consistent with Planck ΛCDM extrapolations.
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-4.3
2026-05-16 20:26 UTC pith:HFPTLOKZ
load-bearing objection ACT DR6 lensing gives a clean new sigma8=0.819 measurement that matches Planck and sharpens the S8 comparison to galaxy surveys. the 2 major comments →
The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The paper reports that the reconstructed lensing convergence power spectrum from ACT DR6 data, in combination with BAO measurements, gives σ8 = 0.819 ± 0.015, S8 = 0.840 ± 0.028 and H0 = 68.3 ± 1.1 km s^{-1} Mpc^{-1}, in good agreement with ΛCDM predictions from Planck. A joint fit with Planck lensing yields even tighter constraints: σ8 = 0.812 ± 0.013, S8 = 0.831 ± 0.023 and H0 = 68.1 ± 1.0 km s^{-1} Mpc^{-1}. These results confirm that the universe is spatially flat, obeys general relativity, and is well described by the ΛCDM model, while limiting the sum of neutrino masses to less than 0.13 eV at 95 percent confidence.
What carries the argument
The gravitational lensing convergence map reconstructed from ACT CMB temperature and polarization measurements, whose power spectrum constrains cosmological parameters when combined with BAO data.
Load-bearing premise
The lensing reconstruction from ACT data, foreground cleaning, and modeling of the convergence power spectrum introduce no significant biases that would shift the reported σ8 and S8 values outside the quoted uncertainties.
What would settle it
An independent cross-check or simulation test that reveals a bias in the ACT lensing map large enough to shift the derived σ8 by more than the reported uncertainty would falsify the quoted agreement with Planck.
If this is right
- The standard ΛCDM model receives independent confirmation from ACT lensing data on linear scales.
- The sum of neutrino masses is limited to less than 0.13 eV at 95 percent confidence.
- Mild differences with galaxy lensing surveys motivate direct comparisons between CMB lensing at z ~ 0.5-5 and galaxy lensing at z ~ 0.5.
- Upcoming ground-based CMB surveys can use similar lensing measurements to tighten constraints on neutrino physics.
Where Pith is reading between the lines
- CMB lensing measurements on mostly linear scales can be contrasted with galaxy lensing on smaller scales to test whether the S8 difference arises from scale-dependent physics.
- The ACT map supplies a high-redshift anchor that future cross-correlation studies with other large-scale structure probes could use to isolate potential systematics.
- Tighter neutrino mass bounds will become accessible once next-generation CMB experiments increase the sky coverage and depth of lensing maps.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper presents a new gravitational lensing convergence map reconstructed from ACT DR6 CMB observations over 9400 sq. deg. Combined with BAO data, it reports σ₈ = 0.819 ± 0.015, S₈ = 0.840 ± 0.028 and H₀ = 68.3 ± 1.1 km s⁻¹ Mpc⁻¹. A joint analysis with Planck CMB lensing tightens these to σ₈ = 0.812 ± 0.013, S₈ = 0.831 ± 0.023 and H₀ = 68.1 ± 1.0 km s⁻¹ Mpc⁻¹. The results are shown to be consistent with Planck ΛCDM extrapolations; a uniform re-analysis of KiDS, DES and HSC galaxy-lensing data finds their S₈ values lower by 1.7–2.1σ. Extensions to ΛCDM are also constrained, e.g. ∑m_ν < 0.13 eV (95 % c.l.).
Significance. If the pipeline validation and covariance modeling hold, the work supplies an independent, high-precision CMB-lensing measurement of structure growth on mostly linear scales at z ∼ 0.5–5. The 1.8 % precision on σ₈ and the direct comparison to Planck anisotropies constitute a strong consistency test of ΛCDM. The uniform re-analysis of three galaxy-lensing surveys and the neutrino-mass limit are additional strengths that will be widely referenced.
major comments (2)
- [§5] §5 (Lensing power-spectrum modeling): the reported σ₈ constraint assumes a fixed nonlinear matter power spectrum prescription; the shift in σ₈ when the halo-model parameters are varied within current priors should be shown explicitly to confirm it remains sub-dominant to the 0.015 statistical uncertainty.
- [§6.2] §6.2 (ACT+Planck joint constraints): the covariance matrix between the ACT and Planck lensing maps must account for the overlapping sky region; if the cross-covariance is approximated rather than measured from simulations, the quoted 0.013 uncertainty on σ₈ may be underestimated.
minor comments (3)
- [Figure 8] Figure 8: the error bars on the ACT-only and joint S₈ points are difficult to distinguish visually; a small horizontal offset or different marker style would improve readability.
- [Table 1] Table 1: the column headers for the KiDS/DES/HSC re-analysis should explicitly state the cosmological priors adopted so readers can reproduce the 1.7–2.1σ tension values.
- [§4.3] §4.3: the description of the simulation-based debiasing procedure is terse; a one-sentence summary of the residual bias level after correction would help.
Simulated Author's Rebuttal
We thank the referee for their careful reading of the manuscript and for the constructive comments. We address each major point below.
read point-by-point responses
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Referee: [§5] §5 (Lensing power-spectrum modeling): the reported σ₈ constraint assumes a fixed nonlinear matter power spectrum prescription; the shift in σ₈ when the halo-model parameters are varied within current priors should be shown explicitly to confirm it remains sub-dominant to the 0.015 statistical uncertainty.
Authors: We agree that explicitly quantifying the impact of the nonlinear modeling choice strengthens the result. In the revised manuscript we will add a short test in §5 in which the halo-model parameters (within the HMCode prescription) are varied over their current priors; the induced shift in σ₈ will be shown to be ≲ 0.005 and therefore sub-dominant to the reported statistical uncertainty. revision: yes
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Referee: [§6.2] §6.2 (ACT+Planck joint constraints): the covariance matrix between the ACT and Planck lensing maps must account for the overlapping sky region; if the cross-covariance is approximated rather than measured from simulations, the quoted 0.013 uncertainty on σ₈ may be underestimated.
Authors: The joint covariance was constructed from a suite of end-to-end simulations that include the actual overlapping sky coverage between ACT and Planck. We will revise the text in §6.2 to state this explicitly and to reference the simulation pipeline, thereby confirming that the cross-covariance is properly measured rather than approximated. revision: yes
Circularity Check
New observational constraints from ACT DR6 lensing data; derivation self-contained against external benchmarks
full rationale
The paper presents direct constraints on σ8, S8 and H0 extracted from a new gravitational lensing mass map reconstructed from 2017–2021 ACT CMB observations. The central pipeline applies standard quadratic estimators to the temperature and polarization maps, measures the lensing convergence power spectrum, and fits cosmological parameters jointly with BAO data. These steps rely on simulation-based debiasing and null tests rather than any self-referential fit that renames an input as a prediction. Shared modeling assumptions with Planck analyses constitute external benchmarks, not an internal circular reduction. No load-bearing step reduces by the paper’s own equations or self-citations to a previously fitted quantity; the result is therefore independent of the target parameters and receives only a minimal score for routine use of community priors.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption The universe is described by the flat ΛCDM model with standard general relativity on the relevant scales.
- domain assumption CMB lensing reconstruction accurately recovers the convergence power spectrum without significant bias from instrumental or foreground effects.
read the original abstract
We present cosmological constraints from a gravitational lensing mass map covering 9400 sq. deg. reconstructed from CMB measurements made by the Atacama Cosmology Telescope (ACT) from 2017 to 2021. In combination with BAO measurements (from SDSS and 6dF), we obtain the amplitude of matter fluctuations $\sigma_8 = 0.819 \pm 0.015$ at 1.8% precision, $S_8\equiv\sigma_8({\Omega_{\rm m}}/0.3)^{0.5}=0.840\pm0.028$ and the Hubble constant $H_0= (68.3 \pm 1.1)\, \text{km}\,\text{s}^{-1}\,\text{Mpc}^{-1}$ at 1.6% precision. A joint constraint with CMB lensing measured by the Planck satellite yields even more precise values: $\sigma_8 = 0.812 \pm 0.013$, $S_8\equiv\sigma_8({\Omega_{\rm m}}/0.3)^{0.5}=0.831\pm0.023$ and $H_0= (68.1 \pm 1.0)\, \text{km}\,\text{s}^{-1}\,\text{Mpc}^{-1}$. These measurements agree well with $\Lambda$CDM-model extrapolations from the CMB anisotropies measured by Planck. To compare these constraints to those from the KiDS, DES, and HSC galaxy surveys, we revisit those data sets with a uniform set of assumptions, and find $S_8$ from all three surveys are lower than that from ACT+Planck lensing by varying levels ranging from 1.7-2.1$\sigma$. These results motivate further measurements and comparison, not just between the CMB anisotropies and galaxy lensing, but also between CMB lensing probing $z\sim 0.5-5$ on mostly-linear scales and galaxy lensing at $z\sim 0.5$ on smaller scales. We combine our CMB lensing measurements with CMB anisotropies to constrain extensions of $\Lambda$CDM, limiting the sum of the neutrino masses to $\sum m_{\nu} < 0.13$ eV (95% c.l.), for example. Our results provide independent confirmation that the universe is spatially flat, conforms with general relativity, and is described remarkably well by the $\Lambda$CDM model, while paving a promising path for neutrino physics with gravitational lensing from upcoming ground-based CMB surveys.
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