Precision cosmology from the clustering of large-scale structures

Cosmology is going through an exciting period characterized by increasingly large and diverse surveys of the Universe. The resulting datasets contain both cosmological and astrophysical information, and provide many different perspectives on the components of the Universe and its evolution. Despite this wealth of data, there are still many open questions and unknowns. These vary from broad questions about the nature of dark energy and dark matter, to more concrete ones, such as how fast exactly is the Universe expanding. In this thesis, we will focus on spectroscopic surveys of the large-scale structure (LSS) in the Universe, and how they are used to study these problems. We begin in Chapters 1-4 with an introduction of modern cosmology, focusing on the topics relevant to LSS surveys and the analysis tools used to extract cosmological information from these datasets. After that, in Chapter 5 we use the latest baryon acoustic oscillation (BAO) measurements and baryon density constraints based on big bang nucleosynthesis (BBN) to measure the expansion rate of the Universe, through the Hubble constant. This is an independent measurement that contributes to the ongoing Hubble tension debate. In Chapter 6, we perform for the first time a Bayesian analysis of the Lyman-α (Lyα) forest correlation functions in order to measure BAO. Finally, in Chapter 7 we study the possibility of an analysis of the full shape of the Lyα forest correlation functions. This would expand on BAO analyses by providing cosmological information from a broader range of scales. The next generation of cosmological surveys is just starting with the Dark Energy Spectroscopic Instrument (DESI). Throughout this thesis, we performed multiple studies that are relevant for future cosmological analyses with DESI. These analyses will advance our physical understanding of the Universe by precisely mapping its evolution to higher redshifts than ever before

Baryon Acoustic Oscillations and the Hubble Constant: Past, Present and Future

We investigate constraints on the Hubble constant ($H_0$) using Baryon Acoustic Oscillations (BAO) and baryon density measurements from Big Bang Nucleosynthesis (BBN). We start by investigating the tension between galaxy BAO measurements and those using the Lyman-$\alpha$ forest, within a Bayesian framework. Using the latest results from eBOSS DR14 we find that the probability of this tension being statistical is $\simeq6.3\%$ assuming flat $\Lambda$CDM. We measure $H_0 = 67.6\pm1.1$ km s$^{-1}$ Mpc$^{-1}$, with a weak dependence on the BBN prior used, in agreement with results from Planck Cosmic Microwave Background (CMB) results and in strong tension with distance ladder results. Finally, we forecast the future of BAO $+$ BBN measurements of $H_0$, using the Dark Energy Spectroscopic Instrument (DESI). We find that the choice of BBN prior will have a significant impact when considering future BAO measurements from DESI.Comment: 14 pages, 3 figure

Optimal data compression for Lyman-α\alpha forest cosmology

The Lyman-$\alpha$ (Ly$\alpha$) three-dimensional correlation functions have been widely used to perform cosmological inference using the baryon acoustic oscillation (BAO) scale. While the traditional inference approach employs a data vector with several thousand data points, we apply near-maximal score compression down to tens of compressed data elements. We show that carefully constructed additional data beyond those linked to each inferred model parameter are required to preserve meaningful goodness-of-fit tests that guard against unknown systematics, and to avoid information loss due to non-linear parameter dependencies. We demonstrate, on suites of realistic mocks and DR16 data from the Extended Baryon Oscillation Spectroscopic Survey, that our compression framework is lossless and unbiased, yielding a posterior that is indistinguishable from that of the traditional analysis. As a showcase, we investigate the impact of a covariance matrix estimated from a limited number of mocks, which is only well-conditioned in compressed space.Comment: Submitted to MNRA

Direct cosmological inference from three-dimensional correlations of the Lyman-α\alpha forest

When performing cosmological inference, standard analyses of the Lyman-$\alpha$ (Ly$\alpha$) three-dimensional correlation functions only consider the information carried by the distinct peak produced by baryon acoustic oscillations (BAO). In this work, we address whether this compression is sufficient to capture all the relevant cosmological information carried by these functions. We do this by performing a direct fit to the full shape, including all physical scales without compression, of synthetic Ly$\alpha$ auto-correlation functions and cross-correlations with quasars at effective redshift $z_{\rm{eff}}=2.3$, assuming a DESI-like survey, and providing a comparison to the classic method applied to the same dataset. Our approach leads to a $3.5\%$ constraint on the matter density $\Omega_{\rm{M}}$, which is about three to four times better than what BAO alone can probe. The growth term $f \sigma_{8} (z_{\rm{eff}})$ is constrained to the $10\%$ level, and the spectral index $n_{\rm{s}}$ to $\sim 3-4\%$. We demonstrate that the extra information resulting from our `direct fit' approach, except for the $n_{\rm{s}}$ constraint, can be traced back to the Alcock-Paczy\'nski effect and redshift space distortion information.Comment: Submitted to MNRA

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 ¼ 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 Ωm ¼ 0.36þ0.03 −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 H0 ¼ 63.2 2.5 km=s=Mpc. In combination with other SDSS tracers, we find H0 ¼ 67.2 0.9 km=s=Mpc and measure the dark energy equation-of-state parameter to be w ¼ −0.90 0.12. Our Letter opens a new avenue for constraining cosmology at high redshift

New constraints on the expansion rate at redshift 2.3 from the Lyman-α\alpha forest

We measure the expansion rate of the Universe 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, a factor of two tighter than baryon acoustic oscillation results from the same data. 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.Comment: Submitted to PR

The Alcock–Paczyński effect from Lyman-α forest correlations: analysis validation with synthetic data

The three-dimensional distribution of the Ly α forest has been extensively used to constrain cosmology through measurements of the baryon acoustic oscillations (BAO) scale. However, more cosmological information could be extracted from the full shapes of the Ly α forest correlations through the Alcock–Paczyński (AP) effect. In this work, we prepare for a cosmological analysis of the full shape of the Ly α forest correlations by studying synthetic data of the extended Baryon Oscillation Spectroscopic Survey (eBOSS). We use a set of 100 eBOSS synthetic data sets in order to validate such an analysis. These mocks undergo the same analysis process as the real data. We perform a full-shape analysis on the mean of the correlation functions measured from the 100 eBOSS realizations, and find that our model of the Ly α correlations performs well on current data sets. We show that we are able to obtain an unbiased full-shape measurement of DM/DH(zeff), where DM is the transverse comoving distance, DH is the Hubble distance, and zeff is the effective redshift of the measurement. We test the fit over a range of scales, and decide to use a minimum separation of rₘᵢₙ = 25 h−¹Mpc. We also study and discuss the impact of the main contaminants affecting Ly α forest correlations, and give recommendations on how to perform such analysis with real data. While the final eBOSS Ly α BAO analysis measured DM/DH(zeff = 2.33) with 4 per cent statistical precision, a full-shape fit of the same correlations could provide an ∼2 per cent measurement

Mock data sets for the Eboss and DESI Lyman-α\alpha forest surveys

{We present a publicly-available code to generate mock Lyman-$\alpha$ (\lya) forest data sets. The code is based on the Fluctuating Gunn-Peterson Approximation (FGPA) applied to Gaussian random fields and on the use of fast Fourier transforms (FFT). The output includes spectra of lya transmitted flux fraction, $F$, a quasar catalog, and a catalog of high-column-density systems. While these three elements have realistic correlations, additional code is then used to generate realistic quasar spectra, to add absorption by high-column-density systems and metals, and to simulate instrumental effects. Redshift space distortions (RSD) are implemented by including the large-scale velocity-gradient field in the FGPA resulting in a correlation function of $F$ that can be accurately predicted. One hundred realizations have been produced over the 14,000 deg$^2$ Dark Energy Spectroscopy Instrument (DESI) survey footprint with 100 quasars per deg$^{2}$, and they are being used for the Extended Baryon Oscillation Survey (eBOSS) and DESI surveys. The analysis of these realizations shows that the correlation of $F$ follows the prediction within the accuracy of eBOSS survey. The most time-consuming part of the production occurs before application of the FGPA, and the existing pre-FGPA forests can be used to easily produce new mock sets with modified redshift-dependent bias parameters or observational conditions.Comment: to be submitted ot JCA

3D Correlations in the Lyman-α\alpha Forest from Early DESI Data

We present the first measurements of Lyman-$\alpha$ (Ly$\alpha$) forest correlations using early data from the Dark Energy Spectroscopic Instrument (DESI). We measure the auto-correlation of Ly$\alpha$ absorption using 88,509 quasars at $z>2$, and its cross-correlation with quasars using a further 147,899 tracer quasars at $z\gtrsim1.77$. Then, we fit these correlations using a 13-parameter model based on linear perturbation theory and find that it provides a good description of the data across a broad range of scales. We detect the BAO peak with a signal-to-noise ratio of $3.8\sigma$, and show that our measurements of the auto- and cross-correlations are fully-consistent with previous measurements by the Extended Baryon Oscillation Spectroscopic Survey (eBOSS). Even though we only use here a small fraction of the final DESI dataset, our uncertainties are only a factor of 1.7 larger than those from the final eBOSS measurement. We validate the existing analysis methods of Ly$\alpha$ correlations in preparation for making a robust measurement of the BAO scale with the first year of DESI data