One spectrum to cure them all: Signature from early Universe solves
  major anomalies and tensions in cosmology
  Acoustic peaks in the Cosmic Microwave Background (CMB) temperature spectrum
as observed by the Planck satellite appear to be smoother than our expectation
from the standard model lensing effect. This anomalous effect can be also
mimicked by a spatially closed Universe with a very low value of Hubble
constant that consequently aggravates the already existing discordance between
cosmological observations. We reconstruct a signature from the early Universe,
a particular form of oscillation in the primordial spectrum of quantum
fluctuations with a characteristic frequency, that solves all these anomalies.
Interestingly, we find this form of the primordial spectrum resolves or
substantially subsides, various tensions in the standard model of cosmology in
fitting different observations, namely Planck CMB, clustering and weak lensing
shear measurements from several large scale structure surveys, local
measurements of Hubble constant, and recently estimated age of the Universe
from globular clusters. We support our findings phenomenologically, by
proposing an analytical form of the primordial spectrum with similar features
and demonstrate that it agrees remarkably well with various combinations of
cosmological observations. We support further our findings theoretically, by
introducing a single scalar field potential for inflation that can generate
such a form of the primordial spectrum.
