Reheating study of Mexican-Hat-type Potentials

TL;DR

This paper investigates the reheating phase in Mexican Hat inflationary potentials, analyzing how the post-inflationary equation-of-state influences observable predictions and constraining models with CMB data.

Contribution

It provides a detailed analysis of reheating in Mexican Hat potentials, including the holographic realization, linking reheating parameters to observational constraints.

Findings

Reheating parameters are constrained by Planck and BICEP data.

The Mexican Hat model satisfies current observational bounds.

Holographic realization offers a benchmark for phenomenological limits.

Abstract

We study reheating in Mexican Hat type potentials, emphasizing the role of the post-inflationary equation-of-state parameter($\overline{\omega }_{\text{re}}$) in shaping observable predictions. By exploring the allowed range of $\overline{\omega }_{\text{re}}$, we derive reheating temperature, e-fold counts, and inflationary observables, showing that the conventional Mexican Hat model satisfies Planck18+BK18+BAO constraints on $n_s$ and r. The analysis underscores reheating as a critical link between theoretical potentials and CMB data. In addition, the holographic Mexican Hat realization is examined as a benchmark, with our results mapping its phenomenological boundaries. This work illustrates how reheating studies sharpen constraints and guide refinements of unified inflationary scenarios.