Free-form reconstruction of primordial power spectrum using Planck CMB temperature and polarization

Abstract

We present a free-form reconstruction of the primordial power spectrum using Planck 2018 CMB temperature and polarisation data. We extend the modified Richardson-Lucy (MRL) algorithm to include polarisation and apply it to the CamSpec unbinned $C_\ell$s. Combined with a new regularisation technique inspired by the diffusion equation, we obtain a form of primordial power spectrum with features that improve the fit to each of TT, TE, and EE data simultaneously. The resulting features are consistent with the previous findings from the temperature-only analyses. We evaluate the statistical significance of the features in our reconstructions using simulated $C_\ell$s and find the data to be consistent with having a featureless primordial power spectrum. The machinery developed here will be a complimentary tool in the search for features in the primordial power spectrum with upcoming CMB surveys