The one-dimensional Ly-alpha forest power spectrum from BOSS

TL;DR

This paper presents two independent methods to measure the one-dimensional Ly-alpha forest power spectrum from SDSS-III/BOSS data, achieving improved precision and providing cosmological parameter constraints.

Contribution

The paper introduces two independent approaches for measuring the Ly-alpha forest power spectrum, with novel noise treatment and systematic uncertainty analysis, applied to a large quasar sample.

Findings

Good agreement between methods across redshift and scale ranges.

Achieved 2-3 times better precision than previous SDSS results.

Provided cosmological constraints on  and n_s with improved accuracy.

Abstract

We have developed two independent methods to measure the one-dimensional power spectrum of the transmitted flux in the Lyman-$\alpha$ forest. The first method is based on a Fourier transform, and the second on a maximum likelihood estimator. The two methods are independent and have different systematic uncertainties. The determination of the noise level in the data spectra was subject to a novel treatment, because of its significant impact on the derived power spectrum. We applied the two methods to 13,821 quasar spectra from SDSS-III/BOSS DR9 selected from a larger sample of over 60,000 spectra on the basis of their high quality, large signal-to-noise ratio, and good spectral resolution. The power spectra measured using either approach are in good agreement over all twelve redshift bins from $<z> = 2.2$ to $<z> = 4.4$, and scales from 0.001 $\rm(km/s)^{-1}$ to $0.02 \rm(km/s)^{-1}$. We determine the methodological and instrumental systematic uncertainties of our measurements. We provide a preliminary cosmological interpretation of our measurements using available hydrodynamical simulations. The improvement in precision over previously published results from SDSS is a factor 2--3 for constraints on relevant cosmological parameters. For a $\Lambda$CDM model and using a constraint on $H_0$ that encompasses measurements based on the local distance ladder and on CMB anisotropies, we infer $\sigma_8 =0.83\pm0.03$ and $n_s= 0.97\pm0.02$ based on \ion{H}{i} absorption in the range $2.1<z<3.7$.