Preheating constraints in $\alpha$-attractor inflation and Gravitational Waves production

TL;DR

This paper explores how the duration of preheating in $ ext{α}$-attractor inflation influences gravitational wave production, analyzing inflationary parameters and their compatibility with recent Planck data.

Contribution

It introduces a specific preheating scenario parametrized by e-folds and examines its impact on gravitational waves and inflationary parameters in $ ext{α}$-attractor models.

Findings

Preheating duration correlates with gravitational wave density.

The inflationary parameter n has negligible effect on preheating duration.

Gravitational wave production during preheating aligns with Planck constraints.

Abstract

We propose a scenario where preheating occurs for a specific duration that is parametrized by an e-folds number $N_{pre}$, our results suggest a direct correlation between the preheating duration and the density of gravitational waves (GWs) produced during this phase. Moreover, we investigate the consequences of the inflationary parameters on the $\alpha$-attractor E model in the small $\alpha$ limits. In this framework, we perform investigations on the preheating parameters involving the number of e-folds $N_{pre}$, and the temperature of reheating $T_{re}$, then we show that the parameter $n$ associated with the E model of $\alpha$-attractor inflation has a negligible effect on the preheating duration, and we demonstrate that gravitational wave generation during preheating satisfies the restrictions from Planck's recent data.