Supersymmetric standard model inflation in the Planck era

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\"{a}hler potential the $L$-$H_u$ 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-$\sigma$ constraint from the WMAP7-BAO-$H_0$ data sets its lower bound $M_R\ga$ 1 TeV. Generation of the baryon asymmetry is naturally implemented in this model. We expect within a few years new observational data from the Planck satellite clearly discriminates this model from other existing inflationary models arising from the same Lagrangian,and possibly yields stringent constraints on $M_R$.