  We perform a Bayesian analysis to study possible features in the primordial
inflationary power spectrum of scalar perturbations. In particular, we analyse
the possibility of detecting the imprint of these primordial features in the
anisotropy temperature power spectrum of the Cosmic Microwave Background (CMB)
and also in the matter power spectrum P (k). We use the most recent CMB data
provided by the Planck Collaboration and P (k) measurements from the eleventh
data release of the Sloan Digital Sky Survey. We focus our analysis on a class
of potentials whose features are localised at different intervals of angular
scales, corresponding to multipoles in the ranges 10 < l < 60 (Oscill-1) and
150 < l < 300 (Oscill-2). Our results show that one of the step-potentials
(Oscill-1) provides a better fit to the CMB data than does the featureless LCDM
scenario, with a moderate Bayesian evidence in favor of the former. Adding the
P (k) data to the analysis weakens the evidence of the Oscill-1 potential
relative to the standard model and strengthens the evidence of this latter
scenario with respect to the Oscill-2 model.

Cosmology and Nongalactic Astrophysics