Search for features in the spectrum of primordial perturbations using Planck and other datasets
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We reconstruct the power spectrum of primordial curvature perturbations by applying a well-validated non-parametric technique employing Tikhonov regularisation to the first data release from the Planck satellite. To improve the reconstruction on small spatial scales we include data from the ground-based ACT and SPT experiments, the WiggleZ galaxy redshift survey, the CFHTLenS tomographic weak lensing survey, and spectral analysis of the Lyman-alpha forest. The reconstructed scalar spectrum (assuming the standard LCDM cosmology) is not scale-free but has an infrared cutoff at k < 5 x 10^-4 Mpc^-1 and several ~2-3 sigma features, of which two at wavenumber k/Mpc^-1 ~ 0.0018 and 0.057 had been seen already in WMAP data. A higher significance feature at k ~ 0.12 Mpc^-1 is indicated by Planck data, but may be sensitive to the systematic uncertainty around multipole l ~ 1800 in the 217x217 GHz cross-spectrum. In any case accounting for the 'look elsewhere' effect drops its global significance to ~2 sigma.
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Recombination Thickness as an Uncertainty in Inflationary Observables
Finite recombination thickness introduces Gaussian smoothing in ln k to the primordial power spectrum, producing non-trivial differences between TT and EE spectral indices that may be detectable in future CMB data.
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