Work

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

Year: 2002
Type: article
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.
Language: English
Open Access status: bronze
OpenAlex ID: W2090436090
FWCI: 23.99
Cites: 130
Cited by: 456
Related to: 9