Non-Gaussian perturbations in hybrid inflation

Abstract

We consider second order inflationary perturbations in the case of two scalar fields, $\sigma$ and the inflaton $\varphi$. We derive an expression for the non-Gaussianity of perturbations and apply the results to hybrid inflation. We isolate the contributions due to $\sigma$ and evaluate the resulting terms to show that $\sigma$-induced non-Gaussianities dominate over inflaton-induced non-Gaussianities when $m_{\sigma }^2\gtrsim \eta H^2$, where $\eta$ is the slow-roll parameter. This may provide a useful test of hybrid inflation in forthcoming CMB experiments.

30 pages, references added

References in corpus (36)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Generating the curvature perturbation without an inflaton
• Hybrid Inflation
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Effects of Cosmological Moduli Fields on Cosmic Microwave Background
• The primordial density perturbation in the curvaton scenario
• Nongaussian Isocurvature Perturbations from Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Second-Order Cosmological Perturbations from Inflation
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• Relativistic second-order perturbations of the Einstein-de Sitter Universe
• Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
• Non-Gaussianity in multi-field inflation
• On non-gaussianities in single-field inflation
• On Non-Gaussianity in the Curvaton Scenario
• Non-Gaussianities in models with a varying inflaton decay rate
• Second-order Perturbations of the Friedmann World Model
• Non-Gaussianity from Inflation
• An Observational Test of Two-field Inflation
• Isocurvature Perturbations in Multiple Inflationary Models
• Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States
• Evolution of second-order cosmological perturbations
• Inflationary models inducing non-Gaussian metric fluctuations
• Inflation and the Theory of Cosmological Perturbations
• Non-Vacuum Initial States for Cosmological Perturbations of Quantum-Mechanical Origin
• Evolution of Second-Order Cosmological Perturbations and Non-Gaussianity
• Enhancement of Non-Gaussianity after Inflation
• Correlated adiabatic and isocurvature CMB fluctuations in the wake of the WMAP
• Inflation and non--Gaussianity
• The Pursuit of Non-Gaussian Fluctuations in the Cosmic Microwave Background
• Constraints on TeV-scale hybrid inflation and comments on non-hybrid alternatives
• Adiabatic and entropy perturbations in cosmology

Cited by in corpus (63)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• A general proof of the conservation of the curvature perturbation
• The inflationary prediction for primordial non-gaussianity
• Particle physics models of inflation and curvaton scenarios
• Primordial non-gaussianities from multiple-field inflation
• Enhanced Non-Gaussianity from Excited Initial States
• Non-Gaussianities in two-field inflation
• Signatures of Initial State Modifications on Bispectrum Statistics
• Detecting a small perturbation through its non-Gaussianity
• The inflationary trispectrum
• Large non-Gaussianity in multiple-field inflation
• Non-gaussianity from the second-order cosmological perturbation
• Non-Gaussianity from Preheating
• Inflation models and observation
• A numerical study of non-gaussianity in the curvaton scenario
• Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation
• Non-linear perturbations in multiple-field inflation
• Non-gaussianity from the inflationary trispectrum
• Classical approximation to quantum cosmological correlations
• Non-Gaussianity from Instant and Tachyonic Preheating
• Quantitative bispectra from multifield inflation
• Nongaussianity from Tachyonic Preheating in Hybrid Inflation
• Primordial Non-Gaussianities of General Multiple Field Inflation
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Nonlinear perturbations of cosmological scalar fields
• Very Large Primordial Non-Gaussianity from multi-field: Application to Massless Preheating
• Non-Gaussianity in Two-Field Inflation
• Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories
• Gauge-invariant perturbations at second order: multiple scalar fields on large scales
• The hybrid inflation waterfall and the primordial curvature perturbation
• Primordial non-Gaussianity from two curvaton decays
• Preheating and the non-gaussianity of the curvature perturbation
• On the conservation of second-order cosmological perturbations in a scalar field dominated universe
• Landscape tomography through primordial non-Gaussianity
• Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms
• Higher order contributions to the primordial non-gaussianity
• A not so short note on the Klein-Gordon equation at second order
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part II: the Trispectrum
• Primordial non-Gaussianity: local curvature method and statistical significance of constraints on f_NL from WMAP data
• Non-Gaussianities and Curvature Perturbations from Hybrid Inflation
• Contribution of the hybrid inflation waterfall to the primordial curvature perturbation
• Large-scale Perturbations from the Waterfall Field in Hybrid Inflation
• A geometrical approach to nonlinear perturbations in relativistic cosmology
• Numerical calculation of second order perturbations
• Non-Gaussianity in braneworld and tachyon inflation
• No Large Scale Curvature Perturbations during Waterfall of Hybrid Inflation
• Cosmological constraints on string scale and coupling arising from tachyonic instability
• CMB statistics in noncommutative inflation
• Curvature perturbation and waterfall dynamics in hybrid inflation
• Local Features with Large Spiky non-Gaussianities during Inflation
• Slow Roll during the Waterfall Regime: The Small Coupling Window for SUSY Hybrid Inflation
• Analytical Study of Mode Coupling in Hybrid Inflation
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Complete Hamiltonian analysis of cosmological perturbations at all orders
• Non-linear Preheating with Scalar Metric Perturbations
• ISS-flation
• Revisiting non-Gaussianity of multiple-field inflation from the field equation
• Covariant evolution of perturbations during reheating in two-field inflation
• Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
• 'Constraint consistency' at all orders in Cosmological perturbation theory
• Constraining Inflationary Scenarios with Braneworld Models and Second Order Cosmological Perturbations
• Hamiltonian formalism of cosmological perturbations and higher derivative theories