Supersymmetric Baryogenesis in a Hybrid Inflation Model

TL;DR

This paper explores how baryogenesis can occur in a supersymmetric hybrid inflation model with right-handed neutrinos, showing that a small lepton asymmetry survives and can explain the observed baryon asymmetry.

Contribution

It demonstrates a viable mechanism for baryogenesis within a supersymmetric hybrid inflation framework incorporating right-handed neutrinos, with specific parameter constraints.

Findings

A few percent of initial lepton asymmetry survives strong wash-out.

Inflaton mass around 10^{13} GeV is required.

Majorana mass scale should be about 10^{9}-10^{10} GeV.

Abstract

We study baryogenesis in a hybrid inflation model which is embedded to the minimal supersymmetric model with right-handed neutrinos. Inflation is induced by a linear combination of the right-handed sneutrinos and its decay reheats the universe. The decay products are stored in conserved numbers, which are transported under the interactions in equilibrium as the temperature drops down. We find that at least a few percent of the initial lepton asymmetry is left under the strong wash-out due to the lighter right-handed (s)neutrinos. To account for the observed baryon number and the active neutrino masses after a successful inflation, the inflaton mass and the Majorana mass scale should be $10^{13}\,{\rm GeV}$ and ${\cal O}(10^{9}$-$10^{10})\,{\rm GeV}$, respectively.