Reheating constraints on modified single-field Natural Inflation models

Abstract

In this paper, we discuss three modified single-field natural inflation models in detail, including Special generalized Natural Inflation model(SNI), Extended Natural Inflation model(ENI) and Natural Inflation inspired model(NII). We derive the analytical expression of the tensor-to-scalar ratio $r$ and the spectral index $n_s$ for those models. Then the reheating temperature $T_{re}$ and reheating duration $N_{re}$ are analytically derived. Moreover, considering the CMB constraints, the feasible space of the SNI model in $(n_s,r)$ plane is almost covered by that of the NII, which means the NII is more general than the SNI. In addition, there is no overlapping space between the ENI and the other two models in $(n_s,r)$ plane, which indicates that the ENI and the other two models exclude each other, and more accurate experiments can verify them. Furthermore, the reheating brings tighter constraints to the inflation models, but they still work for a different reheating universe. Considering the constraints of $n_s$, $r$, $N_k$ and choosing $T_{re}$ near the electroweak energy scale, one can find that the decay constants of the three models have no overlapping area and the effective equations of state ${\omega }_{re}$ should be within $\frac{1}{4}\lesssim {\omega }_{re}\lesssim \frac{4}{5}$ for the three models.

14 pages

References in corpus (15)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Reheating in Inflationary Cosmology: Theory and Applications
• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• A Natural Framework for Chaotic Inflation
• Reheating constraints to inflationary models
• Reheating predictions in single field inflation
• Inflaton Fragmentation and Oscillon Formation in Three Dimensions
• Reheating temperature from the CMB
• ${\varphi }^2$ or Not ${\varphi }^2$: Testing the Simplest Inflationary Potential
• Pure Natural Inflation
• Natural inflation with a nonminimal coupling to gravity
• Modified gravity models for inflation: In conformity with observations
• Natural-Scalaron Inflation
• Preheating and Reheating Constraints in Supersymmetric Braneworld Inflation
• Gravitational Wave From Axion-like Particle Inflation

Cited by in corpus (6)

• Model independent bounds for the number of $e$-folds during the evolution of the universe
• Non-minimally coupled Natural Inflation: Palatini and Metric formalism with the recent BICEP/Keck
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Non-minimal Coupling Inflation and Dark Matter under the ${\mathbb{Z}}_3$ Symmetry
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Universe bouncing its way to inflation