Scale-dependent non-Gaussianity probes inflationary physics

Abstract

We calculate the scale dependence of the bispectrum and trispectrum in (quasi) local models of non-Gaussian primordial density perturbations, and characterize this scale dependence in terms of new observable parameters. They can help to discriminate between models of inflation, since they are sensitive to properties of the inflationary physics that are not probed by the standard observables. We find consistency relations between these parameters in certain classes of models. We apply our results to a scenario of modulated reheating, showing that the scale dependence of non-Gaussianity can be significant. We also discuss the scale dependence of the bispectrum and trispectrum, in cases where one varies the shape as well as the overall scale of the figure under consideration. We conclude providing a formulation of the curvature perturbation in real space, which generalises the standard local form by dropping the assumption that f_NL and g_NL are constants.

27 pages, 2 figures. v2: Minor changes to match the published version

References in corpus (18)

• Primordial Non-Gaussianities from Inflation Models
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Non-Gaussianities in two-field inflation
• Non-Gaussianity in the modulated reheating scenario
• Primordial trispectrum from inflation
• Angular Trispectrum of CMB Temperature Anisotropy from Primordial Non-Gaussianity with the Full Radiation Transfer Function
• Primordial Curvature Fluctuation and Its Non-Gaussianity in Models with Modulated Reheating
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion
• A numerical study of non-gaussianity in the curvaton scenario
• CMB Constraints on Primordial non-Gaussianity from the Bispectrum (f_{NL}) and Trispectrum (g_{NL} and τ_{NL}) and a New Consistency Test of Single-Field Inflation
• Primordial Non-Gaussianity in Multi-Scalar Slow-Roll Inflation
• Nongaussianity from Tachyonic Preheating in Hybrid Inflation
• Non-standard primordial fluctuations and nongaussianity in string inflation
• Scale-dependence of Non-Gaussianity in the Curvaton Model
• Non-Gaussianity and large-scale structure in a two-field inflationary model
• Primordial perturbations and non-Gaussianities from modulated trapping
• Modulated Perturbations from Instant Preheating after new Ekpyrosis

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