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.

arXiv comment14 pages

References in corpus (54)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R) theories
• Planck 2018 results. X. Constraints on inflation
• Towards the Theory of Reheating After Inflation
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• k-Inflation
• Reheating after Inflation
• Cosmology and Fundamental Physics with the Euclid Satellite
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• How long before the end of inflation were observable perturbations produced?
• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• MeV-scale Reheating Temperature and Thermalization of Neutrino Background
• Reheating in Inflationary Cosmology: Theory and Applications
• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• Primordial non-gaussianities in single field inflation
• Cosmological Constraints on Late-time Entropy Production
• A Natural Framework for Chaotic Inflation
• Instant Preheating
• Large Non-Gaussianities in Single Field Inflation
• Reheating constraints to inflationary models
• Turbulent Thermalization
• Reheating predictions in single field inflation
• Self-resonance after inflation: oscillons, transients and radiation domination
• Equation of state and Beginning of Thermalization After Preheating
• Preheating with Trilinear Interactions: Tachyonic Resonance
• Cosmology with a stiff matter era
• Relativistic Turbulence: A Long Way from Preheating to Equilibrium
• Equation-of-State Parameter for Reheating
• The Equation of State and Duration to Radiation Domination After Inflation
• The Universe after inflation: the wide resonance case
• Bayesian Analysis of Inflation II: Model Selection and Constraints on Reheating
• A Horizon Ratio Bound for Inflationary Fluctuations
• Inflaton Fragmentation and Oscillon Formation in Three Dimensions
• Tachyon inflation: tests and comparison with single scalar field inflation
• Back Reaction Of Perturbations In Two Scalar Field Inflationary Models
• Reheating temperature from the CMB
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• ${\varphi }^2$ or Not ${\varphi }^2$: Testing the Simplest Inflationary Potential
• Curing inflationary degeneracies using reheating predictions and relic gravitational waves
• Spectrum oscillations from features in the potential of single-field inflation
• (P)reheating after minimal Plateau Inflation and constraints from CMB
• Pure Natural Inflation
• Natural inflation with a nonminimal coupling to gravity
• Accounting for the time evolution of the equation of state parameter during reheating
• Oscillons from Pure Natural Inflation
• Natural Inflation with a periodic non-minimal coupling
• Modified gravity models for inflation: In conformity with observations
• Natural-Scalaron Inflation
• Reheating constraints on K-inflation
• Scalar-tensor extension of Natural Inflation
• Preheating and Reheating Constraints in Supersymmetric Braneworld Inflation
• A Natural Inflation inspired model
• Gravitational Wave From Axion-like Particle Inflation
• A new way to test the WIMP dark matter models

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