  Recent analysis of the WMAP and Planck data have shown the presence of a dip
and a bump in the spectrum of primordial perturbations at the scales $k=0.002$
Mpc${}^{-1}$ and $k=0.0035$ Mpc${}^{-1}$ respectively. We analyze for the first
time the effects a local feature in the inflaton potential to explain the
observed deviations from scale invariance in the primordial spectrum. We
perform a best fit analysis of the cosmic microwave background (CMB) radiation
temperature and polarization data. The effects of the features can improve the
agreement with observational data respect to the featureless model. The best
fit local feature affects the primordial curvature spectrum mainly in the
region of the bump, leaving the spectrum unaffected on other scales.
