arxiv: 2605.03783 · v1 · submitted 2026-05-05 · 🌌 astro-ph.CO

Recognition: unknown

New constraints on primordial non-Gaussianity from large-scale cross-correlations of CMB lensing and the cosmic infrared background

Blake D. Sherwin, Carmen Embil Villagra, Fiona McCarthy, Joseph Thornton

Pith reviewed 2026-05-07 13:33 UTC · model grok-4.3

classification 🌌 astro-ph.CO

keywords primordial non-Gaussianitycosmic infrared backgroundCMB lensingscale-dependent biasf_NL^localdust cleaninginflation

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The pith

Cross-correlations between dust-cleaned CIB maps and CMB lensing constrain local primordial non-Gaussianity to f_NL^local = 43 ± 23.

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

The paper measures the scale-dependent bias imprinted by local-type primordial non-Gaussianity on the cosmic infrared background using cross-correlations with Planck CMB lensing maps. This cross-correlation approach sidesteps the large-scale galactic dust contamination that had previously limited CIB analyses. New dust-cleaned CIB maps extend the measurement to larger scales and improve the constraint by roughly a factor of two relative to earlier CIB work. A reader would care because tighter limits on f_NL^local test whether the early universe produced the specific form of non-Gaussianity expected in many multi-field inflation models.

Core claim

The central claim is that cross-correlations of new large-scale-unbiased, dust-cleaned CIB maps with CMB lensing maps detect the scale-dependent bias signature of local primordial non-Gaussianity and yield the constraint f_NL^local = 43 ± 23, achieving the same precision as the tightest existing cross-correlation bounds while using an independent tracer.

What carries the argument

The scale-dependent bias induced in CIB clustering by local primordial non-Gaussianity, isolated through cross-correlation with CMB lensing to suppress dust contamination.

If this is right

The measured value is consistent with zero within approximately two standard deviations.
The dust-cleaned maps can be used for other large-scale structure studies without introducing bias on the scales relevant to non-Gaussianity.
Null and consistency tests show the result is robust to modeling assumptions and residual dust.
The same cross-correlation technique can be applied to future higher-resolution lensing and CIB data for further gains in precision.

Where Pith is reading between the lines

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

Combining this CIB-lensing cross-correlation with other large-scale tracers could reduce the uncertainty on f_NL^local below the current 23 level.
A confirmed small value for f_NL^local would favor single-field slow-roll inflation over models that generate larger local non-Gaussianity.
The method provides an independent cross-check on constraints obtained from galaxy surveys or other tracers.

Load-bearing premise

The new dust-cleaned CIB maps remain unbiased on large scales and residual galactic dust does not produce a signal that mimics or cancels the scale-dependent bias from non-Gaussianity.

What would settle it

An independent measurement on the same cleaned CIB maps that finds the large-scale cross-correlation signal is dominated by residual dust rather than the expected CIB clustering.

Figures

Figures reproduced from arXiv: 2605.03783 by Blake D. Sherwin, Carmen Embil Villagra, Fiona McCarthy, Joseph Thornton.

**Figure 1.** Figure 1: FIG. 1: The top panel shows a comparison of the cross view at source ↗

**Figure 3.** Figure 3: FIG. 3: This figure compares the same cross-frequency view at source ↗

**Figure 5.** Figure 5: FIG. 5: The correlation coefficients, view at source ↗

**Figure 6.** Figure 6: FIG. 6: Fractional errors on view at source ↗

**Figure 7.** Figure 7: FIG. 7: Posterior on local-type PNG parameter view at source ↗

**Figure 8.** Figure 8: FIG. 8: Comparison of best-fitting model with variations in view at source ↗

**Figure 10.** Figure 10: FIG. 10: Comparison of the full posteriors of view at source ↗

**Figure 11.** Figure 11: FIG. 11: Transfer function to correct for the misnor view at source ↗

**Figure 12.** Figure 12: FIG. 12: Corner plot of full parameter space for the two separate regions, the Cleaner region in red, and the Dustier in view at source ↗

**Figure 13.** Figure 13: FIG. 13: Corner plot of the full parameter space, when isolating a single frequency. The black lines indicate the view at source ↗

**Figure 14.** Figure 14: FIG. 14: Corner plot of the full parameter space, when isolating two of the frequencies. The black lines indicate the view at source ↗

**Figure 15.** Figure 15: FIG. 15: Corner plot of the full parameter space, when the covariance matrix included either contains correlation view at source ↗

read the original abstract

We present new constraints on the local-type primordial non-Gaussianity parameter, $f_\mathrm{NL}^\mathrm{local}$, through analysis of the scale-dependent bias effect on the cosmic infrared background (CIB). To avoid biases from galactic dust contamination on large scales, we use cross-correlations between the CIB and Planck cosmic microwave background (CMB) lensing maps to constrain non-Gaussianity. Our measurement employs new dust-cleaned CIB maps that have been designed to be unbiased on large scales, which allows us to improve our constraining power on $f_\mathrm{NL}^\mathrm{local}$ by a factor of $\sim 2$ over previous CIB analyses. We derive a constraint of $f_\mathrm{NL}^\mathrm{local}=43 \pm 23$, matching the precision of the tightest existing constraints from cross-correlation methods. Consistency- and null-tests demonstrate that our results are robust to modeling assumptions and residual dust contamination.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

They tighten the local f_NL constraint to 43 ± 23 by using new dust-cleaned CIB maps in cross-correlation with Planck lensing, roughly doubling prior CIB-based precision.

read the letter

The core result is a new measurement of f_NL^local = 43 ± 23 from the scale-dependent bias imprinted on the CIB and picked up via its cross-power with CMB lensing. The advance is the set of dust-cleaned CIB maps that stay reliable down to lower multipoles, which lets them extract more signal and improves the error bar by about a factor of two over earlier CIB analyses. They report that consistency checks and null tests come out clean, which is the right thing to show for this kind of measurement. That part looks like honest work on the data side. The remaining question is whether the cleaning really removes galactic dust without leaving a residual that could mimic or cancel the scale-dependent bias on the largest scales. The abstract says the tests rule that out, but the strength of the claim still rests on how well those tests cover the exact range where the f_NL signal lives. Without the full covariance matrices or the step-by-step cleaning equations in front of me, it is hard to judge the margin. This is a useful, incremental constraint that sits at the level of the best existing cross-correlation limits. It is aimed at people who track independent probes of inflation and want another data point that is not from the CMB bispectrum. The paper is coherent on its own terms and shows clear engagement with the modeling issues, so it deserves a serious referee rather than a desk reject. I would send it out for review.

Referee Report

0 major / 2 minor

Summary. The manuscript reports a measurement of the local primordial non-Gaussianity parameter f_NL^local = 43 ± 23 obtained from the cross-power spectrum between newly constructed dust-cleaned CIB maps and Planck CMB lensing maps. The analysis exploits the scale-dependent bias signature on large scales (l ≲ 100) and claims a factor-of-two improvement over prior CIB-based constraints, with robustness asserted via consistency and null tests against modeling assumptions and residual dust.

Significance. If the result holds, the constraint matches the precision of the tightest existing cross-correlation limits on f_NL^local and demonstrates that carefully cleaned CIB maps can serve as a competitive large-scale tracer for primordial non-Gaussianity. This strengthens observational tests of single-field versus multi-field inflation models by reducing galactic-dust systematics that have historically limited CIB analyses.

minor comments (2)

[Abstract] The abstract states that the new CIB maps are 'designed to be unbiased on large scales' but does not quote the explicit cleaning equations or the residual-dust power-spectrum model; adding these (or a reference to the relevant section) would allow readers to assess the scale-dependent bias subtraction directly.
The reported error bar of ±23 is presented without an accompanying table of systematic contributions or covariance-matrix eigenvalues; a brief summary table would clarify whether the uncertainty is dominated by cosmic variance, map noise, or modeling choices.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our manuscript and for recommending minor revision. No specific major comments were raised in the report, so we have focused on ensuring the presentation is clear and the robustness tests are fully documented in the revised version.

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper measures the cross-power spectrum between new dust-cleaned CIB maps and Planck CMB lensing maps, then fits the observed spectrum to a theoretical model containing f_NL^local as a free parameter. This is a standard statistical inference step that does not reduce by the paper's own equations to a quantity defined in terms of previously fitted constants, self-referential normalizations, or load-bearing self-citations. Consistency and null tests are reported to support the modeling assumptions, but the central result remains an independent fit to external data rather than a tautological renaming or construction from prior outputs.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The analysis rests on the standard Lambda-CDM background cosmology, the linear bias model for CIB tracers, and the theoretical prediction for scale-dependent bias induced by local non-Gaussianity; no new particles or forces are introduced.

free parameters (1)

f_NL^local
The amplitude of local primordial non-Gaussianity that is fitted to the observed scale-dependent bias in the CIB-lensing cross-correlation.

axioms (1)

domain assumption Standard Lambda-CDM cosmology and linear bias model for CIB
Invoked to predict the expected cross-power spectrum shape as a function of f_NL^local.

pith-pipeline@v0.9.0 · 5483 in / 1372 out tokens · 61342 ms · 2026-05-07T13:33:56.615447+00:00 · methodology

discussion (0)

Reference graph

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CMB Lensing The primary CMB is sourced atz∼1100, at the surface of last scattering. On its path to us, it in- teracts with intervening matter, giving rise to ‘sec- ondary anisotropies’. One such secondary is CMB lensing, where gravitational potentials along the line of sight weakly deflect CMB photons. In a flat Uni- verse, the lensing potentialϕ( ˆn) is ...
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