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Constraints on the cosmic expansion rate at redshift 2.3 from the Lyman-$\alpha$ forest
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abstract
We determine the product of the expansion rate and angular-diameter distance at redshift $z=2.3$ from the anisotropy of Lyman-$\alpha$ (Ly$\alpha$) forest correlations measured by the Sloan Digital Sky Survey (SDSS). Our result is the most precise from large-scale structure at $z>1$. In flat $\Lambda$CDM we determine the matter density to be $\Omega_\mathrm{m}=0.36^{+0.03}_{-0.04}$ from Ly$\alpha$ alone. This is a factor of two tighter than baryon acoustic oscillation results from the same data due to our use of a wide range of scales ($25<r<180$ $h^{-1}\text{Mpc}$). Using a nucleosynthesis prior, we measure the Hubble constant to be $H_0=63.2\pm2.5$ km/s/Mpc. In combination with other SDSS tracers, we find $H_0=67.2\pm0.9$ km/s/Mpc and measure the dark energy equation-of-state parameter to be $w=-0.90\pm0.12$. Our work opens a new avenue for constraining cosmology at high redshift.
Forward citations
Cited by 6 Pith papers
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Modeling the Cosmological Lyman-$\alpha$ Forest at the Field Level
An effective-field-theory forward model reproduces the Lyman-alpha forest field from a hydrodynamic simulation at percent level, down to a few megaparsecs, using the same initial conditions.
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DESI DR2 Results IV: Alcock-Paczy\'nski Measurements from the Lyman Alpha Forest and Cosmological Constraints
The full shape of DESI DR2 Lyman-alpha forest correlations constrains the distance ratio DM/DH at z=2.33 to 1.0%, twice as precise as BAO alone.
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Probing the matter-dominated expansion with multi-redshift Lyman-$\alpha$ BAO from DESI DR2
DESI DR2 Lyman-alpha BAO measurements split into three redshift bins trace the expansion rate H(z) over z≈2.1–2.8, yielding a power-law slope n=1.34±0.16 consistent with matter-dominated expansion.
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DESI DR2 Baryon Acoustic Oscillations from the Lyman Alpha Forest Multipoles
A Legendre-multipole BAO analysis of the DESI DR2 Lyα forest yields αiso=0.9997±0.0096 and αAP=0.9986±0.0276, consistent with the baseline, using an unsmoothed positive-definite covariance.
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Bridging Simulations and EFT: A Hybrid Model of the Lyman-Alpha Forest Field
A hybrid EFT forward model using N-body displacements reproduces the simulated Lyman-alpha forest to 5% at k <= 1 h/Mpc with a white-noise residual.
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The Compressed 3D Lyman-Alpha Forest Bispectrum
The Lyman-alpha forest bispectrum can be compressed into 26 skew spectra, including a new shifted variant, with tree-level EFT predictions matching simulations at 1-2 sigma up to k≈0.17 h/Mpc.
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