Cosmological constraints in extended parameter space from the Planck
  2018 Legacy release
  We present new constraints on extended cosmological scenarios using the
recent data from the Planck 2018 Legacy release. In addition to the six
parameters of the standard LCDM model, we also simultaneously vary the dark
energy equation of state, the neutrino mass, the neutrino effective number, the
running of the spectral index and the lensing amplitude $A_L$. We confirm that
a resolution of the Hubble tension is given by a dark energy equation of state
with w<-1, ruling out quintessence models at high statistical significance.
This solution is, however, not supported by BAO and Pantheon data. We find no
evidence for evolving dark energy, i.e. $w_a \neq 0$. The neutrino effective
number is always in agreement with the expectations of the standard model based
on three active neutrinos. The running of the spectral index also is always
consistent with zero. Despite the increase in the number of parameters, the
$A_L$ lensing anomaly is still present at more than two standard deviations.
The $A_L$ anomaly significantly affects the bounds on the neutrino mass that
can be larger by a factor four with respect to those derived under standard
$\Lambda$CDM. While the lensing data reduces the evidence for $A_L>1$, the
inclusion of BAO and Pantheon increase its statistical significance.
