Red, Straight, no bends: primordial power spectrum reconstruction from
  CMB and large-scale structure
  We present a minimally parametric, model independent reconstruction of the
shape of the primordial power spectrum. Our smoothing spline technique is
well-suited to search for smooth features such as deviations from scale
invariance, and deviations from a power law such as running of the spectral
index or small-scale power suppression. We use a comprehensive set of the
state-of the art cosmological data: {\it Planck} observations of the
temperature and polarisation anisotropies of the cosmic microwave background,
WiggleZ and Sloan Digital Sky Survey Data Release 7 galaxy power spectra and
the Canada-France-Hawaii Lensing Survey correlation function. This
reconstruction strongly supports the evidence for a power law primordial power
spectrum with a red tilt and disfavours deviations from a power law power
spectrum including small-scale power suppression such as that induced by
significantly massive neutrinos. This offers a powerful confirmation of the
inflationary paradigm, justifying the adoption of the inflationary prior in
cosmological analyses.
