DESI 2024 IV: Baryon Acoustic Oscillations from the Lyman Alpha Forest
Pith reviewed 2026-05-19 07:25 UTC · model grok-4.3
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The pith
BAO in the Lyman-alpha forest of quasars yields a 2% measurement of the expansion rate at redshift 2.33.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
For a given value of the sound horizon rd, the expansion at z_eff=2.33 is measured with 2 percent precision as H(z_eff) = (239.2 ± 4.8) (147.09 Mpc / rd) km/s/Mpc. A 2.4 percent measurement of the transverse comoving distance is given as D_M(z_eff) = (5.84 ± 0.14) (rd/147.09 Mpc) Gpc. These values are obtained from the Lyman-alpha forest spectra and their cross-correlations with quasars through a blinded analysis that was validated on synthetic data before unblinding.
What carries the argument
The baryon acoustic oscillation peak position extracted from the two-point correlation functions of Lyman-alpha forest pixels and quasar positions.
If this is right
- The high-redshift BAO scale can be combined with lower-redshift measurements to constrain cosmological parameters.
- The 2 percent precision on H(z) at z_eff=2.33 supplies a direct constraint on the expansion rate around that epoch.
- Consistency checks across data splits and alternative analysis choices support the stability of the extracted scale.
Where Pith is reading between the lines
- Repeating the measurement with future larger samples could test whether the BAO scale remains constant with redshift.
- The result supplies an independent early-universe distance calibration that can be compared against other high-redshift probes.
- Tension with expansion histories inferred from other methods at similar redshifts would point to unaccounted effects in the modeling.
Load-bearing premise
The blinded analysis pipeline and synthetic-data validation fully capture all relevant systematics in the real spectra and correlations.
What would settle it
A statistically significant mismatch between the reported BAO scale and the scale predicted by a cosmological model fitted to independent lower-redshift distance measurements after fixing the sound horizon.
read the original abstract
We present the measurement of Baryon Acoustic Oscillations (BAO) from the Lyman-$\alpha$ (Ly$\alpha$) forest of high-redshift quasars with the first-year dataset of the Dark Energy Spectroscopic Instrument (DESI). Our analysis uses over $420\,000$ Ly$\alpha$ forest spectra and their correlation with the spatial distribution of more than $700\,000$ quasars. An essential facet of this work is the development of a new analysis methodology on a blinded dataset. We conducted rigorous tests using synthetic data to ensure the reliability of our methodology and findings before unblinding. Additionally, we conducted multiple data splits to assess the consistency of the results and scrutinized various analysis approaches to confirm their robustness. For a given value of the sound horizon ($r_d$), we measure the expansion at $z_{\rm eff}=2.33$ with 2\% precision, $H(z_{\rm eff}) = (239.2 \pm 4.8) (147.09~{\rm Mpc} /r_d)$ km/s/Mpc. Similarly, we present a 2.4\% measurement of the transverse comoving distance to the same redshift, $D_M(z_{\rm eff}) = (5.84 \pm 0.14) (r_d/147.09~{\rm Mpc})$ Gpc. Together with other DESI BAO measurements at lower redshifts, these results are used in a companion paper to constrain cosmological parameters.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper reports the first BAO measurements from the Lyman-alpha forest in DESI year-1 data, using >420,000 Lyα forest spectra and cross-correlations with >700,000 quasars. After a blinded analysis validated on synthetic data and checked via data splits and variant pipelines, it extracts H(z_eff=2.33) = (239.2 ± 4.8) (147.09 Mpc / r_d) km/s/Mpc (2% precision) and D_M(z_eff=2.33) = (5.84 ± 0.14) (r_d / 147.09 Mpc) Gpc (2.4% precision), to be combined with lower-redshift DESI BAO results in a companion paper.
Significance. If the quoted precisions hold, this supplies a high-redshift BAO anchor that tightens constraints on dark energy and curvature when combined with the rest of the DESI BAO program. The blinded pipeline, synthetic-data validation, and internal consistency tests are genuine strengths that support the central claim of an unbiased scale measurement.
minor comments (2)
- The abstract and §1 could more explicitly state the effective redshift definition and the precise weighting used to obtain z_eff=2.33 from the auto- and cross-correlation peaks.
- Figure captions for the correlation-function plots should include the exact fitting range and the number of mock realizations used to estimate the covariance.
Simulated Author's Rebuttal
We thank the referee for their positive review, accurate summary of the analysis, and recommendation to accept the manuscript. We are pleased that the blinded pipeline, synthetic-data validation, and consistency tests were recognized as strengths supporting the reliability of the BAO measurement.
Circularity Check
No circularity: direct BAO scale extraction from observed Lyα correlations
full rationale
The paper reports direct measurements of the BAO feature position in the Lyman-alpha forest auto-correlation and quasar cross-correlation functions from DESI first-year data. The reported H(z_eff) and D_M(z_eff) values are obtained by fitting the BAO peak location in these observed correlation functions and expressing the result relative to an external sound horizon rd; the analysis pipeline is blinded and validated on synthetic data, but the central results are extracted from real spectra without reduction to fitted inputs or self-citation chains by construction. The derivation chain remains self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption The BAO scale functions as a standard ruler whose observed size directly encodes the expansion history and transverse distance.
- domain assumption The cross-correlation and auto-correlation modeling isolates the BAO feature without significant contamination from unmodeled systematics.
Forward citations
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