Abstract

We consider an extended version of superconformal subcritical hybrid inflation model by introducing three right-handed neutrinos that have the Majorana mass terms. In the model one of the right-handed sneutrinos plays a role of the inflaton field, and it decays to reheat the universe after inflation. The vacuum expectation value for the waterfall field gives an unconventional pattern of the light neutrino mass matrix, and the neutrino Yukawa couplings that determine the reheating temperature are not constrained by the neutrino oscillation data. Consequently thermal leptogenesis or sneutrino leptogenesis is realized.

Highlights

  • The superconformal subcritical hybrid inflation has both features of the superconformal α-attractor models and the subcritical hybrid inflation

  • The vacuum expectation value for the waterfall field gives an unconventional pattern of the light neutrino mass matrix, and the neutrino Yukawa couplings that determine the reheating temperature are not constrained by the neutrino oscillation data

  • Ref. [16] comprehensively studies the D-term hybrid inflation, including reheating, leptogenesis, and the SUSY breaking mechanism.) For the purpose, we introduce three right-handed neutrinos that interact with the minimal supersymmetric standard model (MSSM) sector

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Summary

The model

(We will use the same contraction in the following discussion unless otherwise mentioned.) Mij terms are explicit superconformal breaking terms that are added by phenomenological purpose. The Kahler potential, on the other hand, is given by. The last term is superconformal breaking term that is considered in refs. Subscript in W and Φ stands for the field derivative, e.g., Wα ≡ ∂W/∂zα where zα is a chiral superfield. Φ is expected to be the inflaton as studied in ref. S ≡ 2|S+| plays a role of the waterfall field. Hereafter we omit subscripts of χ3 and λ3 and introduce mφ, which will be identified as the inflaton mass in section 3.2 (with another assumption in section 4.1), χ ≡ χ3, λ ≡ λ3 , mφ ≡ λ S+. We will derive the conditions in order not to affect the inflationary dynamics

Inflation
Pre-critical regime
Subcritical regime
Stability of inflationary trajectory
Mass matrix
Parametrization of neutrino Yukawa couplings
Post inflationary regime
Leptogenesis
Gravitino problem
Conclusion
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