Cosmological implications of the full shape of anisotropic clustering
  measurements in BOSS and eBOSS
  We present the analysis of the full shape of anisotropic clustering
measurement from the extended Baryon Oscillation Spectroscopic Survey (eBOSS)
quasar sample together with the combined galaxy sample from the Baryon
Oscillation Spectroscopic Survey (BOSS), re-analysed using an updated recipe
for the non-linear matter power spectrum and the non-local bias parameters. We
obtain constraints for flat $\Lambda$CDM cosmologies, focusing on the
cosmological parameters that are independent of the Hubble parameter $h$. Our
recovered value for the RMS linear perturbation theory variance as measured on
the scale of $12\,{\rm Mpc}$ is $\sigma_{12}=0.805\pm 0.049$, while using the
traditional reference scale of $8\,h^{-1}{\rm Mpc}$ gives $\sigma_{8}=0.815\pm
0.044$. We quantify the agreement between our measurements and the latest CMB
data from Planck using the suspiciousness metric, and find them to be
consistent within $0.64 \pm 0.03\sigma$. Combining our clustering constraints
with the $3\times2$pt data sample from the Dark Energy Survey (DES) Year 1
release slightly degrades this agreement to the level of $1.54 \pm 0.08\sigma$,
while still showing an overall consistency with Planck. We furthermore study
the effect of imposing a Planck - like prior on the parameters that define the
shape of the linear matter power spectrum, and find significantly tighter
constraints on the parameters that control the evolution of density
fluctuations. In particular, the combination of low-redshift data sets prefers
a value of the physical dark energy density $\omega_{\rm DE}=0.335 \pm 0.011$,
which is 1.7$\sigma$ higher than the one preferred by Planck.
