Updating non-standard neutrinos properties with Planck-CMB data and
  full-shape analysis of BOSS and eBOSS galaxies
  Using the latest observational data from Planck-CMB and its combination with
the pre-reconstructed full-shape (FS) galaxy power spectrum measurements from
the BOSS DR12 sample and eBOSS LRG DR16 sample, we report the observational
constraints on the cosmic neutrino properties given by the extended
$\Lambda$CDM scenario: $\Lambda$CDM + $N_{\rm eff}$ + $\sum m_{\nu}$ +
$c^2_{\rm eff}$ + $c^2_{\rm vis}$ + $\xi_{\nu}$, and its particular case
$\Lambda$CDM + $c^2_{\rm eff}$ + $c^2_{\rm vis}$ + $\xi_{\nu}$, where $N_{\rm
eff}$, $\sum m_{\nu}$, $c^2_{\rm eff}$, $c^2_{\rm vis}$, $\xi_{\nu}$ are the
effective number of species, the total neutrino mass, the sound speed in the
neutrinos rest frame, the viscosity parameter and the degeneracy parameter
quantifying a cosmological leptonic asymmetry, respectively. We observe that
the combination of FS power spectrum measurements with the CMB data
significantly improves the full parametric space of the models compared to the
CMB data alone case. We find no evidence for neutrinos properties other than
the ones predicted by the standard cosmological theory. Our most robust
observational constraints are given by CMB + BOSS analysis. For the generalized
extended $\Lambda$CDM scenario, we find $c^2_{\rm eff}=0.3300\pm 0.0083$,
$c^2_{\rm vis}=0.283\pm 0.047$, $\xi_{\nu} < 0.26$, $N_{\rm
eff}=2.98^{+0.20}_{-0.27}$ at 68\% CL, with $\sum m_{\nu} < 0.117$ eV at 95\%
CL while for the aforementioned particular case, $\xi_{\nu} < 0.06$ at 68\% CL.
These are the strongest limits ever reported for these extended $\Lambda$CDM
scenarios.
