Free-form reconstruction of primordial power spectrum using Planck CMB temperature and polarization by Wuhyun Sohn et al. on Wednesday 30 November
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.
arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.15139v2