Current data are consistent with flat spatial hypersurfaces in the $\Lambda$CDM cosmological model but favor more lensing than the model predicts

Understand

We study the performance of three pairs of tilted $\Lambda$CDM cosmological models, two pairs allowing for non-flat spatial hypersurfaces with CMB temperature and polarization power spectrum data (P18) from Planck, P18 lensing (lensing), and non-CMB data (non-CMB).

• For the six models, we measure cosmological parameters and study whether or not pairs of the data sets are mutually consistent in these models.
• Half of these models allow the lensing consistency parameter $A_L$ to be an additional free parameter, while the other three have $A_L = 1$.
• The tilted spatially-flat models assume the usual primordial spatial inhomogeneity power spectrum.