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arxiv: 2512.03229 · v2 · submitted 2025-12-02 · 🌌 astro-ph.CO

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The DESI DR1 Peculiar Velocity Survey: growth rate measurements from the maximum likelihood fields method

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Pith reviewed 2026-05-17 01:56 UTC · model grok-4.3

classification 🌌 astro-ph.CO
keywords peculiar velocitiesgrowth ratef sigma 8DESIstructure formationcosmologymaximum likelihood
0
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The pith

Peculiar velocity data from DESI DR1 gives a low-redshift growth rate of structure that matches the Planck Lambda CDM prediction.

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

The paper measures the growth rate of cosmic structure at very low redshift using a large sample of galaxy peculiar velocities from the DESI DR1 survey. It combines data from the Bright Galaxy Survey, Fundamental Plane, and Tully-Fisher methods into a catalogue of over 400,000 redshifts and 76,000 velocity measurements. By applying the maximum likelihood fields method, improved for efficiency with JAX, the authors derive a consensus value for f sigma 8 at effective redshift 0.07. This value matches the expectation from the standard Lambda CDM model based on Planck data. When combined with higher-redshift measurements, it also supports general relativity through the growth index.

Core claim

The authors find that after cleaning the data by removing outliers and affected Tully-Fisher galaxies, the maximum likelihood fields analysis gives f sigma 8 = 0.483 with statistical and systematic errors, leading to a consensus measurement of 0.450 plus or minus 0.055 when combined with other analyses on the same dataset, which agrees with the Planck prediction of 0.449 plus or minus 0.008.

What carries the argument

The maximum likelihood fields method applied to the combined peculiar velocity catalogue, rewritten in JAX for computational efficiency.

If this is right

  • The consensus f sigma 8 at z_eff=0.07 is consistent with Planck plus Lambda CDM within one sigma.
  • Combining with high-redshift DESI ShapeFit measurements constrains the growth index gamma to 0.58 plus or minus 0.11, consistent with general relativity.
  • The result from maximum likelihood fields agrees within one sigma with power spectrum and correlation function analyses on the same data.
  • The cleaning steps for outliers and systematic galaxies preserve the overall consistency of the growth rate measurement.

Where Pith is reading between the lines

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

  • If future surveys confirm the same low-redshift growth rate, it would further limit room for late-time modifications to gravity.
  • The JAX rewrite suggests that similar efficiency gains could scale the method to much larger upcoming peculiar velocity samples without major new hardware.
  • Agreement across three different analysis techniques on one catalogue indicates that peculiar velocities can serve as a cross-check for other growth probes.

Load-bearing premise

Removing outliers and excluding Tully-Fisher galaxies affected by systematics does not bias the maximum likelihood fields fit.

What would settle it

A new independent measurement of f sigma 8 at redshift near 0.07 that lies more than 0.11 away from 0.45 would challenge the claimed consistency with Planck cosmology.

read the original abstract

We present the constraint on the growth rate of structure from the combination of DESI DR1 BGS sample, Fundamental Plane, and Tully-Fisher peculiar velocity catalogues using the maximum likelihood fields method. The combined catalogue contains 415,523 galaxy redshifts and 76,616 peculiar velocity measurements. To handle the large amount of data in the DESI DR1 peculiar velocity catalogue, we significantly improve the computational efficiency by rewriting the algorithm with JAX. After removing outliers and Tully-Fisher galaxies that are affected by systematics, we find $f\sigma_8 = 0.483_{-0.043}^{+0.080}(\mathrm{stat}) \pm 0.018(\mathrm{sys})$, consistent within $1\sigma$ with the power spectrum and correlation function analysis using the same dataset. Combining all three measurements with appropriate correlations, the consensus measurement is $f\sigma_8 (z_{\mathrm{eff}}=0.07) = 0.450\pm0.055$, consistent with Planck $+\Lambda$CDM cosmology $(f\sigma_8 = 0.449 \pm 0.008)$. Combining with the high redshift growth rate of structure measurements from DESI ShapeFit, the constraint on the growth index is $\gamma = 0.58\pm0.11$, consistent with GR.

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.

Referee Report

1 major / 2 minor

Summary. The manuscript reports a measurement of the growth rate of structure fσ8 at low redshift using the maximum likelihood fields method on the DESI DR1 peculiar velocity catalogue, combining BGS, Fundamental Plane, and Tully-Fisher samples (415,523 redshifts and 76,616 velocities). After removing outliers and systematics-affected Tully-Fisher galaxies, the authors obtain fσ8 = 0.483_{-0.043}^{+0.080} (stat) ± 0.018 (sys), derive a consensus value fσ8(z_eff=0.07) = 0.450 ± 0.055 consistent with Planck + ΛCDM, and combine with high-z DESI ShapeFit data to constrain the growth index γ = 0.58 ± 0.11, consistent with GR. The algorithm was rewritten in JAX for efficiency, and results are cross-checked against power spectrum and correlation function analyses on the same data.

Significance. If the data cleaning steps are validated, this provides an independent low-redshift peculiar-velocity constraint on structure growth that complements higher-redshift probes and tests of gravity. Strengths include the direct maximum-likelihood extraction of fσ8 without intermediate power-spectrum modeling, the internal consistency checks across three analysis methods on identical data, the computational advance via JAX, and the combination with an independent high-z DESI measurement to constrain γ. The result aligns closely with Planck expectations.

major comments (1)
  1. [Abstract] Abstract: The outlier removal and exclusion of Tully-Fisher galaxies affected by systematics are described only at summary level, with no quantitative criteria, mock-based validation of selection effects, or explicit tests for residual bias in the velocity power spectrum or Malmquist-type effects. Because the maximum likelihood fields method ingests the cleaned catalogue directly, any unaccounted selection bias would propagate into the reported fσ8 posterior; the 1σ consistency with the power-spectrum analysis on the same data does not by itself validate the cleaning step.
minor comments (2)
  1. [Abstract] Abstract: Limited detail is given on the precise covariance modeling used when combining the maximum-likelihood, power-spectrum, and correlation-function results into the consensus fσ8 value.
  2. The manuscript would benefit from a short dedicated subsection or appendix describing the outlier rejection thresholds and any mock tests performed to confirm that the cleaning preserves the underlying velocity statistics.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive feedback on our manuscript. We address the major comment on the abstract below and will revise the manuscript to improve clarity on the data cleaning procedures.

read point-by-point responses
  1. Referee: [Abstract] Abstract: The outlier removal and exclusion of Tully-Fisher galaxies affected by systematics are described only at summary level, with no quantitative criteria, mock-based validation of selection effects, or explicit tests for residual bias in the velocity power spectrum or Malmquist-type effects. Because the maximum likelihood fields method ingests the cleaned catalogue directly, any unaccounted selection bias would propagate into the reported fσ8 posterior; the 1σ consistency with the power-spectrum analysis on the same data does not by itself validate the cleaning step.

    Authors: We agree that the abstract currently describes the outlier removal and Tully-Fisher exclusion only at a summary level. The full manuscript provides the quantitative criteria used for these steps along with supporting tests. To directly address the referee's concern, we will revise the abstract to include brief but explicit quantitative details on the cleaning thresholds and reference the mock-based validation of selection effects and bias tests that appear in the main text and appendices. We acknowledge that consistency with the power-spectrum and correlation-function results on the same catalogue, while reassuring, does not by itself constitute full validation of the cleaning; the revised abstract and expanded discussion will therefore emphasize the direct mock tests for residual velocity power spectrum bias and Malmquist-type effects. revision: yes

Circularity Check

0 steps flagged

No significant circularity; fσ8 extracted via direct maximum-likelihood fit to velocity catalogue

full rationale

The derivation applies the maximum likelihood fields method (rewritten in JAX for efficiency) directly to the cleaned catalogue of 76,616 peculiar velocities to obtain fσ8. This is a data-driven parameter fit, not a prediction that reduces to its inputs by construction. The reported consistency with power-spectrum and correlation-function analyses on the same dataset, the external Planck comparison, and the combination with the independent high-redshift DESI ShapeFit measurement for γ all constitute external checks rather than self-referential steps. No equation or claim in the provided text shows a fitted input renamed as a prediction, a self-citation load-bearing the central result, or an ansatz smuggled via prior work by the same authors. The derivation remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central measurement rests on standard cosmological assumptions for comparison and on post-selection data cleaning whose impact is not quantified in the provided abstract.

free parameters (1)
  • fσ8
    The growth rate parameter is the primary fitted quantity extracted from the peculiar velocity likelihood.
axioms (1)
  • domain assumption Standard flat ΛCDM background cosmology for comparison to Planck predictions
    Invoked when stating consistency of the measured fσ8 = 0.450 ± 0.055 with the Planck value 0.449 ± 0.008.

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