Low & High scale MSSM inflation, gravitational waves and constraints from Planck

TL;DR

This paper investigates inflection-point inflation models within the MSSM framework, analyzing their predictions against Planck data, and constraining the tensor-to-scalar ratio while ensuring compatibility with Standard Model reheating.

Contribution

It provides a detailed analysis of MSSM inflection-point inflation models, deriving bounds on tensor-to-scalar ratio and demonstrating their consistency with Planck observations.

Findings

Tensor-to-scalar ratio bound: r ≤ 0.12

Compatibility with Planck data for spectral tilt and running

Reheating consistent with Standard Model degrees of freedom

Abstract

In this paper we will analyze generic predictions of an inflection-point model of inflation with Hubble-induced corrections and study them in light of the Planck data. Typically inflection-point models of inflation can be embedded within Minimal Supersymmetric Standard Model (MSSM) where inflation can occur below the Planck scale. The flexibility of the potential allows us to match the observed amplitude of the TT-power spectrum of the cosmic microwave background radiation with low and high multipoles, spectral tilt, and virtually mild running of the spectral tilt, which can put a bound on an upper limit on the tensor-to-scalar ratio, $r \leq 0.12$. Since the inflaton within MSSM carries the Standard Model charges, therefore it is the minimal model of inflation beyond the Standard Model which can reheat the universe with the right thermal degrees of freedom without any dark-radiation.