Large Non-Gaussianity Implication for Curvaton Scenario

Abstract

We argue that the typical energy density of a light scalar field should not be less than $H^4$ in the inflationary Universe. This requirement implies that the non-Gaussianity parameter $f_{NL}$ is typically bounded by the tensor-scalar ratio $r$ from above, namely $f_{NL}\lesssim 518\cdot r^{\frac{1}{4}}$. If $f_{NL}=10^2$, inflation occurred around the GUT scale.

17 pages, 1 figure; minor clarification and refs added; version for publication in Phys.Lett.B

References in corpus (49)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• k-Inflation
• Generating the curvature perturbation without an inflaton
• Non-Gaussianity from Inflation: Theory and Observations
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Effects of Cosmological Moduli Fields on Cosmic Microwave Background
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• The primordial density perturbation in the curvaton scenario
• Nongaussian Isocurvature Perturbations from Inflation
• Warm Inflation
• Second-Order Cosmological Perturbations from Inflation
• Ghost Inflation
• From the Big Bang Theory to the Theory of a Stationary Universe
• A new mechanism for generating density perturbations from inflation
• Thermal Inflation and the Moduli Problem
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• On Non-Gaussianity in the Curvaton Scenario
• What does inflation really predict?
• A smooth bouncing cosmology with scale invariant spectrum
• The Angular Dependence of the Three-Point Correlation Function of the Cosmic Microwave Background Radiation as Predicted by Inflationary Cosmologies
• Cosmological Perturbations From Inhomogeneous Reheating, Freeze-Out, and Mass Domination
• Large-scale curvature and entropy perturbations for multiple interacting fluids
• Thermal Properties of an Inflationary Universe
• The cosmic gravitational wave background in a cyclic universe
• Non-Gaussianities in New Ekpyrotic Cosmology
• Non-Gaussian Density Fluctuations from Entropically Generated Curvature Perturbations in Ekpyrotic Models
• Non-Gaussianities from ekpyrotic collapse with multiple fields
• Models of inflation liberated by the curvaton hypothesis
• Can we have inflation with Omega > 1?
• Non-Gaussian Signatures in the Cosmic Background Radiation from Warm Inflation
• The Curvaton Web
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• Can the curvaton paradigm accommodate a low inflation scale?
• Chain Inflation in the Landscape: "Bubble Bubble Toil and Trouble"
• General Single Field Inflation with Large Positive Non-Gaussianity
• Curvaton and QCD Axion in Supersymmetric Theories
• Constraints on the spectral index for the inflation models in string landscape
• Cosmological perturbations from inhomogeneous preheating and multi-field trapping
• Simplified Chain Inflation
• Weak gravity conjecture constraints on inflation
• Weak Gravity Conjecture for the Effective Field Theories with N Species
• Hybrid Curvatons from Broken Symmetry

Cited by in corpus (62)

• Primordial Non-Gaussianities from Inflation Models
• Quasi-Single Field Inflation and Non-Gaussianities
• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Signatures of Non-Gaussianity in the Curvaton Model
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Inflation with multiple sound speeds: a model of multiple DBI type actions and non-Gaussianities
• Curvaton with Polynomial Potential
• Primordial Non-Gaussianities of General Multiple Field Inflation
• On Classification of Models of Large Local-Type Non-Gaussianity
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Curvaton Dynamics and the Non-Linearity Parameters in Curvaton Model
• A geometric description of the non-Gaussianity generated at the end of multi-field inflation
• The Curvature Perturbation in the Axion-type Curvaton Model
• Non-standard primordial fluctuations and nongaussianity in string inflation
• Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
• Limits on Isocurvature Perturbations from Non-Gaussianity in WMAP Temperature Anisotropies
• Scale-dependence of Non-Gaussianity in the Curvaton Model
• Non-Gaussianity and Baryonic Isocurvature Fluctuations in the Curvaton Scenario
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
• $\alpha$-vacuum and inflationary bispectrum
• Non-Gaussianity in single field models without slow-roll
• The Trispectrum in the Multi-brid Inflation
• Gravitational Wave Background and Non-Gaussianity as a Probe of the Curvaton Scenario
• Curvaton with nonminimal derivative coupling to gravity
• N-vaton
• Multi-Stream Inflation
• Non-Gaussianity from Isocurvature Perturbations : Analysis of Trispectrum
• Primordial Non-Gaussianity in Models with Dark Matter Isocurvature Fluctuations
• Negative spectral index of $f_{NL}$ in the axion-type curvaton model
• Effect of Background Evolution on the Curvaton Non-Gaussianity
• Inflation with an extra light scalar field after Planck
• Modulated Inflation
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Large Nonlocal Non-Gaussianity from a Curvaton Brane
• Non-Gaussianity, Isocurvature Perturbation, Gravitational Waves and a No-Go Theorem for Isocurvaton
• Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis
• Can Standard Model Higgs Seed the Formation of Structures in Our Universe?
• Spectral Index in Curvaton Scenario
• Density Fluctuations in Thermal Inflation and Non-Gaussianity
• G-Curvaton
• The trispectrum in ghost inflation
• Anisotropies in Scalar-Induced Gravitational-Wave Background from Inflaton-Curvaton Mixed Scenario with Sound Speed Resonance
• Rotating a Curvaton Brane in a Warped Throat
• Non-Gaussianity in three fluid curvaton model
• Gravitino Dark Matter and Non-Gaussianity
• Curvature and Entropy Perturbations in Generalized Gravity
• Running spectral index from shooting-star moduli
• Non-Gaussianity with Lagrange Multiplier Field in the Curvaton Scenario
• Non-Gaussianity from false vacuum inflation: Old curvaton scenario
• New features in curvaton model
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
• 1/R Correction to Gravity in the Early Universe
• Revised $f_{\mathrm{NL}}$ parameter in Curvaton Scenario
• Affleck-Dine baryogenesis with modulated reheating
• Reconstruction of the isocurvaton scenario
• Primordial black holes from the ultraslow-roll phase in the inflaton--curvaton mixed field inflation
• Scale dependences of local form non-Gaussianity parameters from a DBI isocurvature field
• Large non-Gaussianity generated after D-term Inflation by Right-Handed Sneutrino Curvaton
• Right-Handed Sneutrino Curvaton and non-Gaussianity
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Spectator fields and their imprints on the Cosmic Microwave Background