Supersymmetric standard model inflation in the Planck era

Abstract

We propose a cosmological inflationary scenario based on the supergravity-embedded Standard Model supplemented by the right-handed neutrinos. We show that with an appropriate K\"ahler potential the $L\mathrm{\text{\ensuremath{-}}}{H}_{u}$ direction gives rise to successful inflation that is similar to the recently proposed gravitationally coupled Higgs inflation model but is free from the unitarity problem. The mass scale ${M}_{R}$ of the right-handed neutrinos is subject to the seesaw relation and the present $2\mathrm{\text{\ensuremath{-}}}\ensuremath{\sigma}$ constraint from the $\mathrm{WMAP}7\ensuremath{-}\mathrm{BAO}\ensuremath{-}{H}_{0}$ data sets its lower bound ${M}_{R}\ensuremath{\gtrsim}1\text{ }\text{ }\mathrm{TeV}$. Generation of the baryon asymmetry is naturally implemented in this model. We expect that within a few years new observational data from the Planck satellite will clearly discriminate this model from other existing inflationary models arising from the same Lagrangian, and possibly yield stringent constraints on ${M}_{R}$.