The inflationary prediction for primordial non-gaussianity

Abstract

We extend the δN formalism so that it gives all of the stochastic properties of the primordial curvature perturbation ζif the initial field perturbations are gaussian. The calculation requires only the knowledge of some family of unperturbed universes. A formula is given for the normalisation \fnl of the bispectrum of ζ, which is the main signal of non-gaussianity. Examples of the use of the formula are given, and its relation to cosmological perturbation theory is explained.

Revtex Latex file. 4 pages, no figures. v4: minor changes, typos corrected, references added and updated. Version published in Physical Review Letters

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• The Size of Local Bispectrum and Trispectrum in a Non-Minimal Inflation
• The validity of separate-universe approach in transient ultra-slow-roll inflation
• Application of beyond $\delta N$ formalism -- Varying sound speed
• Curvature perturbations from kinetic preheating after $\alpha$-attractor inflation
• $\Delta \mathcal{N}$ and the stochastic conveyor belt of Ultra Slow-Roll
• Cosmological correlation functions in scalar and vector inflationary models
• Viable Curvaton Models from the $f_{NL}$ Parameter
• Primordial Black Holes in non-linear perturbation theory
• A New Class of Non-canonical Conformal Attractors for Multifield Inflation
• Inflation: a quantum laboratory on cosmological scales
• On the coupling of vector fields to the Gauss-Bonnet invariant
• Curvature perturbations from vacuum transition during inflation
• Time-reversed Stochastic Inflation
• Generalized neutrino isocurvature
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Generalized local ansatz for scale-dependent primordial non-Gaussianities and future galaxy surveys
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• On the four-dimensional effective theories in brane-worlds
• Cosmon as the Modulon: Non-Gaussianity from Dark Energy
• Separate universe in multifield inflation: a phase-space approach
• Kinematically Blocked Curvaton
• Non-Gaussianity from explicit $U(1)$-breaking interactions
• Holographic beta function in de Sitter space
• Non-Gaussianity in Cosmology: from Inflation to the CMB
• Testing Inflationary Cosmology
• Sustainability of multi-field inflation and bound on string scale
• Moment transport equations and their application to the perturbed universe
• Uniform rate inflation on the brane
• Non-Gaussianity after many-field reheating
• Passive Curvaton
• $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation
• Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems
• Inhomogeneous Reheating Scenario with DBI fields