Unitarity-Safe Models of Non-Minimal Inflation in Supergravity

TL;DR

This paper develops supergravity-based chaotic inflation models with non-minimal coupling that are consistent with observational data and maintain unitarity up to the Planck scale, also addressing the mu problem and baryogenesis.

Contribution

It introduces unitarity-safe non-minimal inflation models in supergravity with specific Kahler potentials and explores their implications for particle physics and cosmology.

Findings

Models retain perturbative unitarity up to the Planck scale.

Compatible with observational data for specific parameter ranges.

Addresses the mu problem and baryogenesis within the inflation framework.

Abstract

We show that models of chaotic inflation based on the phi^p potential and a linear non-minimal coupling to gravity, fR=1+cR phi, can be done consistent with data in the context of Supergravity, retaining the perturbative unitarity up to the Planck scale, if we employ logarithmic Kahler potentials with prefactors -p(1+n) or -p(n+1)-1, where -0.035<= n<=0.007 for p=2 or -0.0145<= n<=0.006 for p=4. Focusing, moreover, on a model employing a gauge non-singlet inflaton, we show that a solution to the mu problem of MSSM and baryogenesis via non-thermal leptogensesis can be also accommodated.