Primordial power spectrum reconstructions from BOSS + eBOSS
Guillermo Mart\'inez-Somonte, H\'ector Gil-Mar\'in, Airam Marcos-Caballero, Enrique Mart\'inez-Gonz\'alez

TL;DR
This paper reconstructs the primordial power spectrum from BOSS and eBOSS galaxy data using a Bayesian non-parametric method, finding results consistent with a scale-invariant power law and constraining the spectral index.
Contribution
It introduces a non-parametric Bayesian reconstruction method for the primordial power spectrum from galaxy surveys, extending to non-linear scales and validating with mock catalogs.
Findings
No evidence of primordial features in the power spectrum.
Results favor a quasi-scale-invariant power law for $P_{ ext{R}}(k)$.
Spectral index $n_s$ constrained to $0.976 \,\pm\ 0.021$, compatible with Planck.
Abstract
We reconstruct the primordial power spectrum from the BOSS DR 12 LRG and eBOSS DR 16 QSO catalogs with a non-parametric Bayesian method. The is reconstructed by linearly interpolating knots in the plane. We use a parametric model to describe the galaxy power spectra of the BOSS+eBOSS catalogs, assuming any power-law deviations and BAO contributions separately from the matter power spectrum template, composed of seven parameters . This parametric model enables us to reconstruct at non-linear scales, reaching . The method is validated by applying it to different Primordial Features (PF) templates and by recovering the input power law of \textsc{MD-Patchy} and \textsc{EZmock} mock catalogs, representative of the BOSS and eBOSS…
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