Constraints on the Cosmic Expansion Rate at Redshift 2.3 from the Lyman- α Forest
We determine the product of the expansion rate and angular-diameter distance at redshift z =2.3 from the anisotropy of Lyman-α (Lyα) forest correlations measured by the Sloan Digital Sky Survey (SDSS). Our result is the most precise from large-scale structure at z > 1. Using the flat Λ cold dark matter model we determine the matter density to be Ω m = 0.36$^{+0.03}_{–0.04}$ from Lyα alone. This is a factor of 2 tighter than baryon acoustic oscillation results from the same data due to our use of a wide range of scales (25 < r < 180 ℎ –1 Mpc). Using a nucleosynthesis prior, we measure the Hubble constant to be H o = 63.2 ± 2.5 km/s/Mpc. In combination with other SDSS tracers, we find H o = 67.2 ± 0.9 km/s/Mpc and measure the dark energy equation-of-state parameter to be w = –0.90 ± 0.12. Our Letter opens a new avenue for constraining cosmology at high redshift.