Cosmic Shear constraints from HSC Year 3 with clustering calibration of the tomographic redshift distributions from DESI
Pith reviewed 2026-05-17 06:24 UTC · model grok-4.3
The pith
Improved DESI clustering calibration of HSC Y3 tomographic redshifts raises the cosmic shear constraint on S8 to 0.805 ± 0.018 and cuts the uncertainty by a factor of 1.8.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
With photometric redshift distributions now calibrated by clustering redshifts from DESI spectroscopy, the HSC Year 3 cosmic shear data yield S8 ≡ σ8 √(Ωm / 0.3) = 0.805 ± 0.018, a 1.8-fold reduction in uncertainty relative to the previous HSC Y3 result of 0.769+0.031−0.034 and a clear shift of the central value toward the Planck cosmology.
What carries the argument
Clustering-redshift calibration of the mean redshift offsets Δz in each tomographic bin, performed by cross-correlating the HSC photometric galaxies with DESI spectroscopic tracers.
If this is right
- HSC Year 3 now reaches constraining power comparable to KiDS Legacy and DES Y6.
- The central S8 value moves substantially closer to the Planck cosmic-microwave-background measurement.
- Both importance sampling of the original chains and a full new MCMC analysis produce statistically consistent constraints.
Where Pith is reading between the lines
- If the same clustering-calibration technique can be applied to future wide-field imaging surveys, their redshift systematics could be reduced without requiring complete spectroscopic coverage.
- The shift toward Planck values suggests that part of the previous S8 tension may have been driven by redshift-distribution uncertainty rather than new physics.
- Combining the calibrated HSC data with other large-scale-structure probes could further tighten limits on the dark-energy equation of state.
Load-bearing premise
The clustering-redshift method correctly recovers the true redshift distributions of the HSC photometric sample without adding new, unaccounted systematics that would bias the shear-shear measurements.
What would settle it
A direct spectroscopic follow-up campaign that measures the actual redshift distribution in the HSC fields and finds mean-redshift offsets differing from the DESI clustering calibration by more than the quoted uncertainty would falsify the new S8 result.
read the original abstract
We reanalyze cosmological constraints from Hyper Suprime-Cam (HSC) Y3 shear-shear correlation function using new calibration of the tomographic redshift distribution via the clustering redshifts method with DESI spectroscopy presented in Choppin de Janvry et al. (2025a). We present both importance sampling of the original MCMC chains by HSC, applying the weights of our newly calibrated $\Delta z$ priors, as well as full MCMC analysis with new photometric redshift distributions, finding consistent results between the two. We obtain the growth of structure parameter $S_8\equiv\sigma_8\sqrt{\Omega_m/0.3}=0.805\pm{0.018}$, compared to previous HSC Y3 result of $S_8=0.769^{+0.031}_{-0.034}$, which is a 1.8 reduction of error due to the improved clustering redshift calibrations, with the central value shifting considerably higher towards Planck cosmology. With the new photometric redshift calibration, HSC Y3 has comparable constraining power to the recent KIDS Legacy and DES Y6 results.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper reanalyzes HSC Year 3 cosmic shear constraints by updating the tomographic redshift distributions n(z) with clustering-redshift calibrations derived from DESI spectroscopy (companion paper Choppin de Janvry et al. 2025a). Both importance sampling of the original HSC chains with the new Δz priors and a full MCMC run with the updated n(z) are presented; the authors report consistent results and obtain S8 = 0.805 ± 0.018, a 1.8× tighter constraint than the prior HSC Y3 value of 0.769^{+0.031}_{-0.034} with a central-value shift toward the Planck cosmology. The new result is stated to have constraining power comparable to KiDS Legacy and DES Y6.
Significance. If the clustering-redshift calibration is free of unaccounted bias, the work shows that external spectroscopic cross-correlations can materially tighten weak-lensing S8 constraints and reduce apparent tension with CMB measurements. The dual-method consistency (importance sampling versus new MCMC) is a positive feature that would strengthen the result if accompanied by the missing validation details.
major comments (2)
- [Abstract] Abstract: the statement that importance sampling and full MCMC yield consistent results is given without any quantitative comparison (e.g., posterior means, widths, or overlap metrics), without description of how the new Δz priors propagate into the final covariance, and without mention of systematic tests or covariance validation; this directly limits assessment of whether the reported 1.8× error reduction is robust.
- [Results] Results section (and associated figures/tables): the central S8 shift and error reduction rest on the assumption that the DESI clustering-redshift n(z) accurately represent the true HSC source distributions; no robustness tests against alternate galaxy-bias evolution models, magnification corrections, or data-split variations in the calibration step are described, even though such systematics could coherently bias the mean redshifts and thereby move S8 upward.
minor comments (2)
- [Abstract] Abstract: the factor '1.8 reduction of error' should be defined explicitly (e.g., ratio of 68% credible-interval widths or of standard deviations).
- Consider adding a table or figure that directly compares the old and new Δz priors (or full n(z)) and the resulting shifts in the cosmological parameters.
Simulated Author's Rebuttal
We thank the referee for their careful reading of the manuscript and for the constructive comments, which have helped us improve the clarity of our presentation. We address each major comment below and have revised the manuscript to incorporate additional quantitative details and explicit references to validation tests.
read point-by-point responses
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Referee: [Abstract] Abstract: the statement that importance sampling and full MCMC yield consistent results is given without any quantitative comparison (e.g., posterior means, widths, or overlap metrics), without description of how the new Δz priors propagate into the final covariance, and without mention of systematic tests or covariance validation; this directly limits assessment of whether the reported 1.8× error reduction is robust.
Authors: We agree that a quantitative comparison between the importance sampling and full MCMC results would strengthen the abstract and main text. In the revised manuscript we will add explicit values for the posterior means and widths of S8 from both methods, together with a simple overlap metric. We will also briefly describe how the new Δz priors are applied and note that the covariance validation and systematic tests are documented in the companion calibration paper (Choppin de Janvry et al. 2025a). These additions will make the robustness of the reported error reduction clearer to the reader. revision: yes
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Referee: [Results] Results section (and associated figures/tables): the central S8 shift and error reduction rest on the assumption that the DESI clustering-redshift n(z) accurately represent the true HSC source distributions; no robustness tests against alternate galaxy-bias evolution models, magnification corrections, or data-split variations in the calibration step are described, even though such systematics could coherently bias the mean redshifts and thereby move S8 upward.
Authors: The robustness tests against alternate galaxy-bias evolution models, magnification corrections, and data-split variations are presented in detail in the companion calibration paper (Choppin de Janvry et al. 2025a). In the present work we have focused on the cosmological impact of the updated n(z). To address the referee’s concern, the revised manuscript will include a concise summary paragraph that highlights the key robustness checks performed in the companion paper and states that no significant coherent bias in the mean redshifts was found. This addition will make the supporting evidence explicit without duplicating the full calibration analysis. revision: partial
Circularity Check
S8 updated via new redshift priors from companion calibration paper; derivation remains independent of self-referential inputs
full rationale
The paper reanalyzes existing HSC Y3 shear-shear data by applying newly calibrated tomographic redshift distributions (via clustering redshifts with DESI) from the companion paper Choppin de Janvry et al. (2025a). It reports consistent S8=0.805±0.018 from both importance sampling of prior chains and a fresh MCMC. No equations or steps reduce the reported cosmological parameter to a fitted quantity defined by the same shear data or to a self-citation chain; the calibration supplies an external prior on n(z) derived from cross-correlations, while the growth constraint is extracted from the two-point shear statistics. The self-citation is limited to the calibration step and is not load-bearing for the final S8 inference itself, which retains independent content from the original HSC likelihood.
Axiom & Free-Parameter Ledger
free parameters (1)
- redshift shift priors (Δz)
axioms (2)
- domain assumption Clustering redshifts provide an unbiased calibration of photometric redshift distributions
- domain assumption Standard flat ΛCDM cosmology with the usual parameter set
Lean theorems connected to this paper
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IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We obtain the growth of structure parameter S8 ≡ σ8 √(Ωm/0.3) = 0.805 ± 0.018 ... using new calibration of the tomographic redshift distribution via the clustering redshifts method with DESI spectroscopy
What do these tags mean?
- matches
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- supports
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- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
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- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Forward citations
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Reference graph
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discussion (0)
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