Relieving tensions related to the lensing of the cosmic microwave background temperature power spectra

Abstract

The angular power spectra of the cosmic microwave background (CMB) temperature anisotropies reconstructed from Planck data seem to present "too much" gravitational lensing distortion. This is quantified by the control parameter AL that should be compatible with unity for a standard cosmology. With the class Boltzmann solver and the profile-likelihood method, for this parameter we measure a 2.6σ shift from 1 using the Planck public likelihoods. We show that, owing to strong correlations with the reionization optical depth t and the primordial perturbation amplitude As, a ∼2s tension on t also appears between the results obtained with the low (= 30) and high (30