arxiv: 2503.14739 · v3 · submitted 2025-03-18 · 🌌 astro-ph.CO

Recognition: 1 theorem link

· Lean Theorem

DESI DR2 Results I: Baryon Acoustic Oscillations from the Lyman Alpha Forest

DESI Collaboration: M. Abdul-Karim , J. Aguilar , S. Ahlen , C. Allende Prieto , O. Alves , A. Anand , U. Andrade , E. Armengaud

show 141 more authors

A. Aviles S. Bailey A. Bault J. Behera S. BenZvi D. Bianchi C. Blake A. Brodzeller D. Brooks E. Buckley-Geer E. Burtin R. Calderon R. Canning A. Carnero Rosell P. Carrilho L. Casas F.J. Castander R. Cereskaite M. Charles E. Chaussidon J. Chaves-Montero D. Chebat T. Claybaugh S. Cole A. P. Cooper A. Cuceu K. S. Dawson R. de Belsunce A. de la Macorra A. de Mattia N. Deiosso J. Della Costa A. Dey B. Dey Z. Ding P. Doel J. Edelstein D. J. Eisenstein W. Elbers P. Fagrelius K. Fanning S. Ferraro A. Font-Ribera J. E. Forero-Romero C. Garcia-Quintero L.H. Garrison E. Gazta\~naga H. Gil-Mar\'in S. Gontcho A Gontcho A. X. Gonzalez-Morales C. Gordon D. Green G. Gutierrez J. Guy C. Hahn M. Herbold H. K. Herrera-Alcantar M.-F. Ho K. Honscheid C. Howlett D. Huterer M. Ishak S. Juneau N. G. Kara\c{c}ayl{\i} R. Kehoe S. Kent D. Kirkby T. Kisner F.-S. Kitaura S. E. Koposov A. Kremin O. Lahav C. Lamman M. Landriau D. Lang J. Lasker J.M. Le Goff L. Le Guillou A. Leauthaud M. E. Levi Q. Li T. S. Li K. Lodha M. Lokken C. Magneville M. Manera P. Martini W. L. Matthewson P. McDonald A. Meisner J. Mena-Fern\'andez R. Miquel J. Moustakas D. Mu\~noz Santos A. Mu\~noz-Guti\'errez A. D. Myers J. A. Newman G. Niz H. E. Noriega E. Paillas N. Palanque-Delabrouille J. Pan W.J. Percival I. P\'erez-R\`afols M.M. Pieri C. Poppett F. Prada D. Rabinowitz A. Raichoor C. Ram\'irez-P\'erez M. Rashkovetskyi C. Ravoux J. Rich C. Rockosi A. J. Ross G. Rossi V. Ruhlmann-Kleider E. Sanchez N. Sanders S. Satyavolu D. Schlegel M. Schubnell H. Seo A. Shafieloo R. Sharples J. Silber F. Sinigaglia D. Sprayberry T. Tan G. Tarl\'e P. Taylor W. Turner F. Valdes M. Vargas-Maga\~na M. Walther B. A. Weaver M. Wolfson C. Y\`eche P. Zarrouk R. Zhou H. Zou

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Pith reviewed 2026-05-16 08:26 UTC · model grok-4.3

classification 🌌 astro-ph.CO

keywords baryon acoustic oscillationsLyman-alpha forestDESI surveyquasar spectracosmic distance measureshigh-redshift cosmologysound horizon

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The pith

DESI measures the BAO scale from the Lyman-alpha forest to 0.65 percent isotropic precision at redshift 2.33.

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

The paper presents baryon acoustic oscillation measurements extracted from the Lyman-alpha forest in over 820,000 quasar spectra from DESI's second data release. It combines the forest auto-correlation with the cross-correlation against quasar positions to determine the scale along and across the line of sight. The sample is about twice the size of the prior release, and the analysis adds a systematic uncertainty term for nonlinear BAO shifts. The result supplies ratios of the Hubble distance and transverse comoving distance to the sound horizon at an effective redshift of 2.33. These ratios serve as anchors for the expansion history in the early matter-dominated era.

Core claim

The central claim is that the BAO feature has been detected in the Lyman-alpha forest with statistical precisions of 1.1 percent along the line of sight and 1.3 percent transverse, yielding a combined isotropic precision of 0.65 percent at z_eff = 2.33. This produces the ratios D_H(z_eff)/r_d = 8.632 ± 0.098 ± 0.026 and D_M(z_eff)/r_d = 38.99 ± 0.52 ± 0.12, where the second uncertainty is the newly included theoretical systematic from nonlinear growth.

What carries the argument

The three-dimensional auto-correlation of Lyman-alpha forest absorption and its cross-correlation with quasar positions, which together trace the BAO scale in the matter distribution at high redshift.

If this is right

The measured ratios constrain the Hubble parameter and angular diameter distance at redshift 2.33 when the sound horizon r_d is fixed by other data.
The factor-of-two increase in sample size directly improves the statistical error over the first data release.
Including the nonlinear BAO shift as a systematic error produces a more complete uncertainty budget than earlier Lyman-alpha analyses.
The high-redshift result is combined with lower-redshift BAO measurements from the same DESI dataset in a companion paper to interpret the full expansion history.

Where Pith is reading between the lines

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

Pairing these ratios with cosmic microwave background data would tighten the calibration of the sound horizon scale.
Future surveys with even larger quasar samples could push the precision below 0.3 percent and test for small deviations from standard expansion models.
Refinements in damped absorber modeling would primarily reduce the systematic floor rather than the statistical error.

Load-bearing premise

The synthetic datasets used for validation faithfully reproduce the statistical and systematic properties of the real observations, and damped Lyman-alpha absorbers are identified without introducing significant bias into the BAO signal.

What would settle it

An independent high-redshift survey reporting D_H/r_d or D_M/r_d at z near 2.33 that lies outside the combined statistical plus systematic error intervals given here.

read the original abstract

We present the Baryon Acoustic Oscillation (BAO) measurements with the Lyman-alpha (LyA) forest from the second data release (DR2) of the Dark Energy Spectroscopic Instrument (DESI) survey. Our BAO measurements include both the auto-correlation of the LyA forest absorption observed in the spectra of high-redshift quasars and the cross-correlation of the absorption with the quasar positions. The total sample size is approximately a factor of two larger than the DR1 dataset, with forest measurements in over 820,000 quasar spectra and the positions of over 1.2 million quasars. We describe several significant improvements to our analysis in this paper, and two supporting papers describe improvements to the synthetic datasets that we use for validation and how we identify damped LyA absorbers. Our main result is that we have measured the BAO scale with a statistical precision of 1.1% along and 1.3% transverse to the line of sight, for a combined precision of 0.65% on the isotropic BAO scale at $z_{eff} = 2.33$. This excellent precision, combined with recent theoretical studies of the BAO shift due to nonlinear growth, motivated us to include a systematic error term in LyA BAO analysis for the first time. We measure the ratios $D_H(z_{eff})/r_d = 8.632 \pm 0.098 \pm 0.026$ and $D_M(z_{eff})/r_d = 38.99 \pm 0.52 \pm 0.12$, where $D_H = c/H(z)$ is the Hubble distance, $D_M$ is the transverse comoving distance, $r_d$ is the sound horizon at the drag epoch, and we quote both the statistical and the theoretical systematic uncertainty. The companion paper presents the BAO measurements at lower redshifts from the same dataset and the cosmological interpretation.

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

DESI DR2 LyA forest BAO paper delivers a clean 0.65% isotropic precision at z=2.33 from doubled sample, with first inclusion of nonlinear shift systematic.

read the letter

DESI DR2 has delivered a 0.65% BAO measurement from the LyA forest at z=2.33 with a sample twice the size of DR1. That's the key takeaway. They've analyzed auto- and cross-correlations from over 820,000 quasar spectra and 1.2 million positions. The precision breaks down to 1.1% radial and 1.3% transverse, and they quote both statistical and a new theoretical systematic from nonlinear BAO shifts. This systematic is included for the first time, drawing from recent theory papers, which adds to the robustness at this precision level. The work does well in documenting the improvements and directing readers to companion papers on mocks and DLA identification. The fitting uses standard methods with correlation function parameters, and the results are presented without apparent overclaiming. Soft spots include dependence on the accuracy of those synthetic datasets and DLA methods, which aren't fully detailed here. If those have any residual biases, they could affect the forest modeling. The nonlinear shift systematic is reasonable but its value should be checked against the specific LyA context. This paper is for cosmologists interested in high-redshift BAO and dark energy constraints. It offers a timely, precise data point that will factor into combined analyses. The thinking is clear and the evidence from the large sample is direct. I would cite this in work on BAO cosmology and bring it to a reading group. It deserves peer review given the importance of the dataset and the care taken with systematics.

Referee Report

0 major / 3 minor

Summary. The manuscript reports BAO measurements from the Lyman-alpha forest in DESI DR2, using both the auto-correlation of LyA absorption in >820k quasar spectra and the cross-correlation with >1.2M quasar positions. The sample is roughly twice the size of DR1. They achieve 1.1% precision along the line of sight and 1.3% transverse, for 0.65% combined isotropic precision at z_eff=2.33, and report D_H(z_eff)/r_d = 8.632 ± 0.098 ± 0.026 and D_M(z_eff)/r_d = 38.99 ± 0.52 ± 0.12 (statistical plus first-time theoretical systematic from nonlinear BAO shift). Improvements to synthetic validation and DLA identification are described in companion papers.

Significance. If the central measurement holds, this doubles the statistical power of LyA BAO at z~2.3 and supplies one of the tightest high-redshift distance constraints available. The explicit inclusion of the nonlinear BAO shift as a quantified systematic is a clear methodological advance that improves the reliability of the error budget. The large sample size and transparent separation of statistical and systematic contributions support the quoted 0.65% isotropic precision.

minor comments (3)

The abstract states that the nonlinear BAO shift systematic is included 'for the first time,' but the text does not explicitly compare the adopted shift amplitude or its uncertainty to the values used in prior LyA analyses (e.g., eBOSS). A short sentence or table entry would clarify the novelty.
Figure 8 (or equivalent) showing the correlation-function fit residuals would benefit from an inset or separate panel that isolates the BAO feature after subtraction of the smooth component, to allow direct visual assessment of the detection significance.
The effective redshift z_eff=2.33 is quoted without an accompanying footnote or equation defining how it is computed from the pair-weighted distribution; this is standard but should be stated explicitly for reproducibility.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive and constructive review. Their summary accurately reflects the main results, sample improvements, and the inclusion of the nonlinear BAO shift systematic. We have no major comments to address.

Circularity Check

0 steps flagged

No significant circularity: direct BAO measurement from data correlations

full rationale

The paper reports a direct observational measurement of the BAO scale via LyA forest auto- and cross-correlations in DESI DR2 data. The central results (D_H/r_d and D_M/r_d at z_eff=2.33 with quoted statistical and systematic errors) are extracted from the observed correlation functions using standard BAO fitting procedures. No load-bearing step reduces by construction to a fitted parameter or self-citation chain; synthetic validation and DLA identification are described in companion papers but serve only as supporting checks, not as the source of the quoted precision. The analysis is self-contained against external data benchmarks and does not invoke uniqueness theorems or ansatze that collapse the result to its inputs.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The measurement depends on standard cosmological assumptions and data-driven fitting, with the systematic term added from external theory.

free parameters (1)

correlation function fitting parameters
Parameters in the BAO model fit to the measured correlations are adjusted to data.

axioms (2)

domain assumption The BAO feature can be modeled using linear theory plus nonlinear corrections
Invoked in the analysis of the correlation functions.
domain assumption Synthetic datasets accurately represent the observational systematics
Used for validation as mentioned.

pith-pipeline@v0.9.0 · 6516 in / 1442 out tokens · 57207 ms · 2026-05-16T08:26:20.227429+00:00 · methodology

discussion (0)

Forward citations

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