Reheating process in the $R^2$ inflationary model with the baryogenesis scenario

TL;DR

This paper investigates how incorporating leptogenesis with the $R^2$ inflationary model affects the reheating process, neutrino properties, and baryon asymmetry, providing a more realistic post-inflationary evolution scenario.

Contribution

It introduces a model combining $R^2$ inflation with leptogenesis, analyzing the impact of key parameters on reheating and baryogenesis.

Findings

Identified parameter ranges compatible with observed baryon asymmetry.

Analyzed the influence of neutrino mass and couplings on reheating dynamics.

Provided constraints on model parameters based on primordial perturbations.

Abstract

Post-inflationary evolution and (re)heating of the viable inflationary model, the $R^2$ one, is made more realistic by including the leptogenesis scenario into it. For this purpose, right-handed Majorana neutrinos with a large mass are added to the matter sector of the Standard Model to explain the neutrino oscillation experiments and the baryon asymmetry of the Universe. We have found parameters that characterize this model: non-minimal coupling of the Higgs field $\xi$, the mass of the right-handed Majorana neutrino $M_{N_\alpha}$ and the Yukawa coupling matrix components for the right-handed Majorana neutrino. We have analyzed the effect of these parameters on the reheating process and leptogenesis in this model and how they affect the resultant physical quantities: spectral parameters of primordial perturbations and baryon asymmetry.