Higgs-lepton inflation in the supersymmetric minimal seesaw model

TL;DR

This paper proposes a supersymmetric minimal seesaw model with noncanonical Kähler potential that explains inflation, neutrino oscillations, and baryon asymmetry, while constraining seesaw parameters with CMB data and suggesting gravitino dark matter.

Contribution

It introduces a novel inflation scenario within the minimal seesaw model embedded in supergravity, linking cosmological observations with neutrino physics and supersymmetry breaking.

Findings

Model consistent with CMB and neutrino data

Baryon asymmetry generated via leptogenesis

Seesaw scale constrained by WMAP data

Abstract

We investigate a scenario of cosmological inflation realised along a flat direction of the minimal seesaw model embedded in supergravity with a noncanonical R-parity violating K\"{a}hler potential. It is shown that with appropriate seesaw parameters the model is consistent with the present observation of the cosmological microwave background (CMB) as well as with the neutrino oscillation data. It is also shown that the baryon asymmetry of the Universe can be generated through leptogenesis. The model favours supersymmetry breaking with the gravitino as the lightest superparticle, and thus indicates the gravitino dark matter scenario. An interesting feature of this model is that the seesaw parameters are constrained by the CMB spectra. The 2-$\sigma$ constraints from the 9-year WMAP data yield a mild lower bound on the seesaw mass scale $\gtrsim$ TeV. We expect that the observation by the Planck satellite will soon provide more stringent constraints. The phenomenological and cosmological implications of the R-parity violation are also discussed.