Model-agnostic interpretation of 10 billion years of cosmic evolution
  traced by BOSS and eBOSS data
  We present the first model-agnostic analysis of the complete set of Sloan
Digital Sky Survey III (BOSS) and -IV (eBOSS) catalogues of luminous red galaxy
and quasar clustering in the redshift range $0.2\leq z \leq 2.2$ (10 billion
years of cosmic evolution), which consistently includes the baryon acoustic
oscillations (BAO), redshift space distortions (RSD) and the shape of the
transfer function signatures, from pre- and post-reconstructed catalogues in
Fourier space. This approach complements the standard analyses techniques which
only focus on the BAO and RSD signatures, and the full-modeling approaches
which assume a specific underlying cosmology model to perform the analysis.
These model-independent results can then easily be interpreted in the context
of the cosmological model of choice. In particular, when combined with $z>2.1$
Ly-$\alpha$ BAO measurements, the clustering BAO, RSD and {\it Shape}
parameters can be interpreted within a flat-$\Lambda$CDM model yielding
$h=0.6816\pm0.0067$, $\Omega_{\rm m}=0.3001\pm0.0057$ and $10^{9}\times A_s=
2.43\pm0.20$ (or $\sigma_8=0.858\pm0.036$) with a Big Bang Nucleosynthesis
prior on the baryon density. Without any external dataset, the BOSS and eBOSS
data alone imply $\Omega_{\rm m}=0.2971\pm 0.0061$ and $10^{9}\times
A_s=2.39^{+0.24}_{-0.43}$ (or $\sigma_8=0.857\pm0.040$). For models beyond
$\Lambda$CDM, eBOSS data alone (in combination with Planck) constrain the sum
of neutrino mass to be $\Sigma m_\nu< 0.40$ eV with a BBN prior ($\Sigma m_\nu
<0.082$ eV) at 95\% CL, the curvature energy density to $\Omega_\mathrm{k} =
-0.022_{-0.038}^{+0.032}$ ($\Omega_\mathrm{k} = 0.0015\pm 0.0016$) and the dark
energy equation of state parameter to $w=-0.998_{-0.073}^{+0.085}$
($w=-1.093_{-0.044}^{+0.048}$) at 68\% CL without a BBN prior.
