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Toward a Precise Measurement of Matter Clustering: Lyα Forest Data at Redshifts 2–4

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Croft, Rupert A. C., Weinberg, David H., Bolte, Mike, Burles, Scott, Hernquist, Lars, Katz, Neal, Kirkman, David, Tytler, David·2002·The Astrophysical Journal

Abstract

We measure the filling factor, correlation function, and power spectrum of transmitted flux in a large sample of Lyα forest spectra, comprised of 30 Keck HIRES spectra and 23 Keck LRIS spectra. We infer the linear matter power spectrum P ( k ) from the flux power spectrum P F ( k ), using an improved version of the method of Croft et al. that accounts for the influence of redshift-space distortions, nonlinearity, and thermal broadening on the shape of P F ( k ). The evolution of the shape and amplitude of P ( k ) over the redshift range of the sample ( z ≈ 2-4) is consistent with the predictions of gravitational instability, implying that nongravitational fluctuations do not make a large contribution to structure in the Lyα forest. Our fiducial measurement of P ( k ) comes from a subset of the data with 2.3 < z < 2.9, mean absorption redshift ⟨ z ⟩ = 2.72, and total path length Δ z ≈ 25. It has a dimensionless amplitude Δ 2 ( k p ) = 0.74 at wavenumber k p = 0.03 (km s -1 ) -1 and is well described by a power law of index ν = -2.43 ± 0.06 or by a CDM-like power spectrum with shape parameter Γ' = 1.3 × 10 -3 (km s -1 ) -1 at z = 2.72 (all error bars 1 σ). The correspondence to present-day P ( k ) parameters depends on the adopted cosmology. For Ω m = 0.4, Ω Λ = 0.6, the best-fit shape parameter is Γ = 0.16 h Mpc -1 , in good agreement with measurements from the 2dF Galaxy Redshift Survey, and the best-fit normalization is σ 8 = 0.82(Γ/0.15) -0.44 . Matching the observed cluster mass function and our measured Δ 2 ( k p ) in spatially flat cosmological models requires Ω m = 0.38 + 2.2(Γ - 0.15). Matching Δ 2 ( k p ) in COBE -normalized, flat CDM models with no tensor fluctuations requires Ω m = (0.29 ± 0.04) n -2.89 h , and models that satisfy this constraint are also consistent with our measured logarithmic slope. The Lyα forest complements other observational probes of the linear matter power spectrum by constraining a regime of redshift and length scale not accessible by other means, and the consistency of these inferred parameters with independent estimates provides further support for a cosmological model based on inflation, cold dark matter, and vacuum energy.

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Metadata

Authors
Croft, R. A. C., Weinberg, D. H., Bolte, M., Burles, S., Hernquist, L., Katz, N., Kirkman, D., & Tytler, D.
Venue
The Astrophysical Journal
Published
2002-12-10
Volume
581
Issue
1
Pages
20-52
ISSN
  • 0004-637X (ISSN-L)
  • 1538-4357
OpenAlex
W2090436090
Cited by
422
References
79
FWCI
28.56
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Toward a Precise Measurement of Matter Clustering: Lyα Forest Data at Redshifts 2–4. https://app.cochat.ai/papers/10.1086/344099
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Croft, R. A. C., Weinberg, D. H., Bolte, M., Burles, S., Hernquist, L., Katz, N., Kirkman, D., & Tytler, D. (2002). Toward a Precise Measurement of Matter Clustering: Lyα Forest Data at Redshifts 2–4. The Astrophysical Journal. https://doi.org/10.1086/344099

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