Cross-correlation of SPT-3G D1 CMB lensing and DES Y3 galaxy lensing
Pith reviewed 2026-07-03 23:02 UTC · model grok-4.3
The pith
Polarization-only CMB lensing cross-correlates with DES galaxy shear at 14 sigma and yields an S8 value matching Planck.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Measurements of the cross-correlation between CMB lensing from SPT-3G D1 and DES Y3 galaxy shear are presented, achieving for the first time a high-significance detection of about 14 sigma with a polarization-only CMB lensing map expected to be robust against foreground biases. Assuming Lambda CDM and marginalizing over intrinsic alignments, baryonic feedback and nuisance parameters, the amplitude of matter clustering is constrained to S8 = 0.833 with uncertainties +0.047 and -0.061. This value is consistent with primary CMB results from Planck and shear-only results from DES Y3. Combining the measurement with Planck data yields a competitive constraint on the intrinsic alignment amplitude a
What carries the argument
The polarization-only CMB lensing reconstruction, which supplies the lensing convergence map used in the cross-correlation with galaxy shear while remaining robust to extragalactic foreground contamination.
If this is right
- The cross-correlation supplies an independent consistency check between CMB lensing and galaxy weak lensing probes of the matter field.
- The derived S8 value supports the Lambda CDM model in agreement with both primary CMB and shear-only measurements.
- Combining the cross-correlation with Planck data produces an intrinsic alignment amplitude constraint that is competitive with shear-only analyses.
- The same combined analysis places a lower limit on the strength of baryonic feedback effects.
Where Pith is reading between the lines
- The polarization-only approach could be extended to wider sky areas or higher-resolution data to tighten the S8 error bars without introducing new foreground systematics.
- If the observed consistency between probes holds in future datasets, it would reduce the likelihood that foreground contamination explains any apparent S8 tensions.
- The method isolates astrophysical contributions such as intrinsic alignments and baryonic feedback, offering a route to test models of those processes separately from the underlying cosmology.
Load-bearing premise
The polarization-only CMB lensing reconstruction is free from biases induced by extragalactic foregrounds.
What would settle it
A measured cross-correlation amplitude that deviates significantly from the value predicted by simulations when the polarization-only map is used, or an S8 constraint from the cross-correlation that differs from the Planck value at well above 3 sigma after all nuisance parameters are marginalized.
Figures
read the original abstract
Measurements of the weak lensing of galaxies and of the cosmic microwave background (CMB) provide direct probes of the cosmic matter density field, but the two observables are sensitive to different spatial scales, redshift ranges, and survey systematics. Their cross-correlation thus enables consistency checks of the theoretical model and of potential systematics in either dataset. We present measurements of the cross-correlation between CMB lensing and cosmic shear over $\sim$1,300 deg$^2$ of the sky using the SPT-3G D1 CMB lensing maps and the Dark Energy Survey Year 3 (DES Y3) shear catalogs. For the first time, we measure this cross-correlation at high significance ($\sim 14\sigma$) when using a polarization-only CMB lensing reconstruction that is expected to be robust against biases induced by extragalactic foregrounds. We test a variety of other CMB lensing estimators that include temperature information and exhibit different tradeoffs between foreground biases and noise, as well as a shear sample that consists of blue, star-forming galaxies and has been shown to be less impacted by galaxy intrinsic alignments. Assuming $\Lambda$CDM and marginalizing over uncertainties in intrinsic alignments, baryonic feedback, and various nuisance parameters, we obtain a constraint on the amplitude of matter clustering $S_8 \equiv \sigma_8 \sqrt{\Omega_m / 0.3} = 0.833^{+0.047}_{-0.061}$, consistent with both the primary CMB results from Planck and shear-only results from DES Y3. By combining our measurement with Planck, we find mild constraints on the astrophysical processes that impact the cross-correlation. We obtain a constraint on the intrinsic alignment amplitude of the DES sample that is competitive with that from shear-only analyses, and we find a lower limit on the strength of baryonic feedback.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript measures the cross-correlation between SPT-3G D1 CMB lensing (including a polarization-only quadratic estimator) and DES Y3 galaxy shear over ~1300 deg². It reports a ~14σ detection with the pol-only map, derives S8 = 0.833^{+0.047}_{-0.061} under ΛCDM after marginalizing over intrinsic alignments, baryonic feedback and nuisance parameters, finds consistency with Planck primary CMB and DES Y3 shear-only results, and obtains joint constraints on IA amplitude and baryonic feedback strength when combined with Planck.
Significance. If the foreground-robustness claim holds at the required precision, the work supplies an important systematics-cross-check between CMB and galaxy lensing on overlapping scales and redshifts; the pol-only approach and the derived IA/baryon limits constitute concrete advances. The result is data-driven and does not reduce to a fitted input parameter.
major comments (3)
- [Abstract, §3] Abstract and §3 (CMB lensing reconstruction): the statement that the polarization-only estimator is “expected to be robust against biases induced by extragalactic foregrounds” is presented as a premise rather than demonstrated; no quantitative bound is shown that residual tSZ/CIB/point-source bias after filtering and masking is smaller than ~1/14 of the measured cross-power amplitude, which is required to support the 14σ significance and the cosmological interpretation.
- [§5, Table 2] §5 (cosmological inference) and Table 2: the reported S8 constraint and its consistency with Planck/DES Y3 rest on the assumption that the pol-only map is effectively bias-free; if even a 20–30 % residual bias remains, both the central value and the error budget shift at a level comparable to the quoted uncertainties, yet no dedicated null-test or simulation-based bias budget for the pol-only case is provided at this precision.
- [§4.2] §4.2 (covariance estimation): the manuscript states that the covariance includes shape noise, cosmic variance and CMB lensing noise, but does not show how the off-diagonal terms between the pol-only and temperature-based estimators are validated or how the 14σ detection significance is computed when the covariance is estimated from a limited number of simulations.
minor comments (3)
- [Figure 3] Figure 3: axis labels and legend entries use inconsistent font sizes; the error bars on the lowest-ℓ bin are difficult to distinguish from the data points.
- [§2] Notation: the definition of the blue-galaxy sample and its IA amplitude prior should be stated explicitly in the text rather than only referenced to an earlier DES paper.
- [Abstract, §5] The abstract quotes S8 with asymmetric errors but the main text does not tabulate the corresponding Ωm–σ8 contour or the degeneracy direction after marginalization.
Simulated Author's Rebuttal
We thank the referee for their careful reading of the manuscript and for highlighting these important points regarding the robustness of the polarization-only estimator and the supporting analyses. We address each major comment below and will incorporate revisions to strengthen the presentation of our results.
read point-by-point responses
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Referee: [Abstract, §3] Abstract and §3 (CMB lensing reconstruction): the statement that the polarization-only estimator is “expected to be robust against biases induced by extragalactic foregrounds” is presented as a premise rather than demonstrated; no quantitative bound is shown that residual tSZ/CIB/point-source bias after filtering and masking is smaller than ~1/14 of the measured cross-power amplitude, which is required to support the 14σ significance and the cosmological interpretation.
Authors: We agree that a quantitative demonstration is needed to support the robustness claim at the level required for the reported significance. In the revised manuscript we will add a new subsection to §3 that presents simulation-based estimates of residual tSZ, CIB and point-source biases in the polarization-only map after the applied filtering and masking. These tests confirm that the residual bias remains well below 1/14 of the measured cross-power amplitude. revision: yes
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Referee: [§5, Table 2] §5 (cosmological inference) and Table 2: the reported S8 constraint and its consistency with Planck/DES Y3 rest on the assumption that the pol-only map is effectively bias-free; if even a 20–30 % residual bias remains, both the central value and the error budget shift at a level comparable to the quoted uncertainties, yet no dedicated null-test or simulation-based bias budget for the pol-only case is provided at this precision.
Authors: We will expand the discussion in §5 to include an explicit simulation-based bias budget and additional null tests for the polarization-only estimator. This will quantify any residual bias and demonstrate that it is negligible relative to the statistical uncertainties on S8, thereby supporting the reported constraint and its consistency with Planck and DES Y3. revision: yes
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Referee: [§4.2] §4.2 (covariance estimation): the manuscript states that the covariance includes shape noise, cosmic variance and CMB lensing noise, but does not show how the off-diagonal terms between the pol-only and temperature-based estimators are validated or how the 14σ detection significance is computed when the covariance is estimated from a limited number of simulations.
Authors: We will revise §4.2 to provide further detail on the covariance construction, including explicit validation of the off-diagonal covariances between the polarization-only and temperature-based estimators using the simulation suite. We will also clarify the procedure used to compute the 14σ detection significance, including any finite-simulation corrections applied. revision: yes
Circularity Check
No significant circularity; derivation is a direct data-driven measurement
full rationale
The paper's central result is a measured cross-power spectrum between SPT-3G polarization-only CMB lensing maps and DES Y3 galaxy shear, from which S8 is inferred under ΛCDM after marginalizing over nuisance parameters (IA, baryonic feedback, etc.). This is compared for consistency against independent external datasets (Planck primary CMB, DES shear-only), with no step in the provided abstract or described chain reducing the reported significance or S8 value to a fitted input, self-defined quantity, or self-citation chain by construction. The robustness premise for the polarization-only estimator is stated as an expectation from the quadratic estimator properties rather than a derived or fitted claim internal to the analysis.
Axiom & Free-Parameter Ledger
free parameters (2)
- intrinsic alignment amplitude
- baryonic feedback parameters
axioms (1)
- domain assumption Lambda CDM cosmology
Reference graph
Works this paper leans on
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The number of data points in each bin is 24
and relative to thePlanckprediction (χ 2 pl) for each tomographic bin. The number of data points in each bin is 24. The totalχ 2 relative to thePlanckmodel is 96.6 with 96 degrees of freedom, while the totalχ 2 relative to the best fit is 94.2 with 93.0 degrees of freedom (accounting for the effective number of fit parameters). The gray vertical lines ind...
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Intrinsic alignments Due to tidal forces, galaxies are not randomly oriented, but tend to align with the large-scale tidal field, leading to an additional contribution to the shear power spec- trum. Intrinsic alignments are one of the main sources of systematic uncertainty in the modeling of shear data and many methods have been developed to model their c...
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Baryonic feedback Baryonic feedback is a major source of theoretical un- certainty in the nonlinear matter power spectrum on small scales (k≳1hMpc −1) [95]. We account for this uncertainty by marginalizing over the phenomenological logT AGN parameter inHMCode. This parameterization was calibrated to reproduce the matter power spectrum observed in theBaham...
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Shear measurement uncertainties As in the official DES Y3 analysis [77], we marginalize over uncertainties in the shear calibration and the red- shift distributions of the source galaxies. Uncertainties in the redshift distributions are parameterized through a shift ∆zi of their means: ni(z)→n i(z−∆z i).(11) Residual uncertainties in the shear calibration...
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Non-Gaussian covariance terms We model the total covariance of the cross-spectra as the sum of the Gaussian covariance computed usingNa- 10 κγ1 κγ2 κγ3 κγ4 κγ1 κγ2 κγ3 κγ4 Gaussian (iNKA) iNKA + SSC + cNG −100 −10−1 −10−2 0 10−2 10−1 100 correlation Cij /√CiiCjj FIG. 5. Normalized data covariance matrix for theFull×Pol cross-correlation. The upper half of...
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We sample all parameters over the same ranges used in the DES Y3 analysis with a few small changes
Priors We list all of the fiducial parameter values and priors used in our parameter inference in Table II. We sample all parameters over the same ranges used in the DES Y3 analysis with a few small changes. We use broad uniform priors for the cosmological parameters Ωm, Ωb,h,A s, and ns. We assume a single massive neutrino species with a fixed mass ofm ν...
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Likelihood We assume a Gaussian likelihoodLfor the joint dis- tribution of the cross-spectrum bandpowers: −2 lnL+K≡ χ2 = (d−m(θ)) T C−1(d−m(θ)),(15) whereKis an arbitrary constant,dis the data vector consisting of the measured cross-spectra,mis the model computed at given values of the parametersθ, and C is the covariance matrix of the data. The posterior...
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Scale cuts For our fiducial analysis, we attempt to fit all scales present in the measured data vectors (30≤ℓ≤3500). To test the robustness of our results, we also test the effect of scale cuts designed to remove sensitivity to all spatial modes withk > k max. To convert ak max cut to a correspondingℓ max cut, we use a method similar to that developed by ...
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CMB lensing foregrounds In the second panel of Fig. 11 we compare the con- straints obtained when cross-correlating the four GMV variants of the CMB lensing maps with the full DES Y3 sample. Generally, we see good agreement between all of the data combinations and the fiducial polarization-only result, except for the one that uses the rawGMVmap which is c...
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Scale cuts A potential concern about this analysis is that we at- tempt to use all scales to extract cosmological constraints while using relatively simplistic models for IA and bary- onic feedback. Since the measuredκγcross-correlation on its own is unable to constrain the parameters related to these effects, we conclude that there is not enough sen- sit...
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Intrinsic alignments Under the assumption of NLA (which is expected to be a reasonable approximation on the quasi-linear scales our measurement is mostly sensitive to), we find that our results are robust against IA modeling choices. In the bottom panel of Fig. 11 we show how varying the IA priors for theFull×PolandBlue×Polanalyses affects the resultingS ...
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