# Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model

## TL;DR

This paper explores a Gauss-Bonnet inflation model inspired by $ ext{α}$-attractors, analyzing perturbations, non-Gaussianity, and reheating, and deriving observational constraints from Planck data.

## Contribution

It introduces a Gauss-Bonnet inflation model with E-model potential, studying its perturbations, non-Gaussianity, and reheating, and compares predictions with observational data.

## Key findings

- Attractor behavior at small $ ext{α}$ limit with $r=0$
- Recovery of $ ext{α}$-attractor and Gauss-Bonnet models in different limits
- Constraints on model parameters from Planck data and reheating analysis

## Abstract

Motivated by $\alpha$-attractor models, in this paper we consider a Gauss-Bonnet inflation with E-model type of potential. We consider the Gauss-Bonnet coupling function to be the same as the E-model potential. In the small $\alpha$ limit we obtain an attractor at $r=0$ as expected, and in the large $\alpha$ limit we recover the Gauss-Bonnet model with potential and coupling function of the form $\phi^{2n}$. We study perturbations and non-Gaussianity in this setup and we find some constraints on the model's parameters in comparison with PLANCK datasets. We study also the reheating epoch after inflation in this setup. For this purpose, we seek the number of e-folds and temperature during reheating epoch. These quantities depend on the model's parameter and the effective equation of state of the dominating energy density in the reheating era. We find some observational constraints on these parameters.