Inflation after Planck: and the winners are

Abstract

We review the constraints that the recently released Cosmic Microwave Background (CMB) Planck data put on inflation and we argue that single field slow-roll inflationary scenarios (with minimal kinetic term) are favored. Then, within this class of models, by means of Bayesian inference, we show how one can rank the scenarios according to their performances, leading to the identification of ``the best models of inflation''.