How Well Can Future CMB Missions Constrain Cosmic Inflation?
  We study how the next generation of Cosmic Microwave Background (CMB)
measurement missions (such as EPIC, LiteBIRD, PRISM and COrE) will be able to
constrain the inflationary landscape in the hardest to disambiguate situation
in which inflation is simply described by single-field slow-roll scenarios.
Considering the proposed PRISM and LiteBIRD satellite designs, we simulate mock
data corresponding to five different fiducial models having values of the
tensor-to-scalar ratio ranging from $10^{-1}$ down to $10^{-7}$. We then
compute the Bayesian evidences and complexities of all Encyclopaedia
Inflationaris models in order to assess the constraining power of PRISM alone
and LiteBIRD complemented with the Planck 2013 data. Within slow-roll
inflation, both designs have comparable constraining power and can rule out
about three quarters of the inflationary scenarios, compared to one third for
Planck 2013 data alone. However, we also show that PRISM can constrain the
scalar running and has the capability to detect a violation of slow roll at
second order. Finally, our results suggest that describing an inflationary
model by its potential shape only, without specifying a reheating temperature,
will no longer be possible given the accuracy level reached by the future CMB
missions.
