Inflation, reheating, leptogenesis and bounds on soft supersymmetry breaking parameters

TL;DR

This paper presents a no-scale supergravity realization of the Starobinsky inflation model within the Type-I Seesaw NMSSM framework, analyzing inflation, reheating, leptogenesis, and deriving bounds on soft SUSY-breaking parameters.

Contribution

It introduces a novel realization of Starobinsky inflation in the Type-I Seesaw NMSSM using no-scale supergravity, linking inflationary dynamics with leptogenesis and SUSY-breaking constraints.

Findings

Starobinsky-like inflation achieved along a Higgs-sneutrino direction.

Constraints on soft SUSY-breaking parameters from leptogenesis and reheating.

Compatibility with CMB observations for the inflationary model.

Abstract

In the no-scale supergravity with Type-I Seesaw model of Non-minimal supersymmetric standard model (NMSSM), we have analysed inflation, reheating and leptogenesis. A no-scale supergravity realization of Starobinsky model of inflation in simple Wess-Zumino model have been shown earlier by Ellis et al. Here we show a no-scale supergravity realization of Starobinsky model of inflation in Type-I Seesaw framework of NMSSM. In this framework an appropriate choice of no-scale K\"ahler potential results in Starobinsky like plateau inflation along a Higgs-sneutrino $D$-flat direction consistent with the CMB observations. In leptogenesis, the soft-breaking trilinear and bilinear terms play important role. Using conditions for non-thermal contribution to $CP$ asymmetry and successful leptogenesis together with the appropriate reheating at the end of inflation, we have obtained important constraints on the soft supersymmetry breaking parameters.