Search for features in the spectrum of primordial perturbations using
  Planck and other datasets
  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.
