Large Primordial Trispectra in General Single Field Inflation

Abstract

We compute the large scalar four-point correlation functions in general single field inflation models, where the inflaton Lagrangian is an arbitrary function of the inflaton and its first derivative. We find that the leading order trispectra have four different shapes determined by three parameters. We study features in these shapes that can be used to distinguish among themselves, and between them and the trispectra of the local form. For the purpose of data analyses, we give two simple representative forms for these "equilateral trispectra". We also study the effects on the trispectra if the initial state of inflation deviates from the standard Bunch-Davies vacuum.

38 pages, 9 figures; v2, minor revision; v3, final version to appear on JCAP

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Cited by in corpus (36)

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• Linking the Singularities of Cosmological Correlators
• Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state
• Effective Field Theory and Decoupling in Multi-field Inflation: An Illustrative Case Study
• General CMB and Primordial Trispectrum Estimation
• Planck constraints on single-field inflation
• Anisotropic Non-Gaussianity from a Two-Form Field
• No-go Theorem for Scalar-Trispectrum-Induced Gravitational Waves
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum
• On the full quantum trispectrum in multi-field DBI inflation
• Large and strong scale dependent bispectrum in single field inflation from a sharp feature in the mass
• Priomordial non-Gaussian features from DBI Galileon inflation
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Non-Gaussianity of scalar perturbations generated by conformal mechanisms
• Cosmological Dynamics of a Dirac-Born-Infeld field
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Note on Non-Gaussianities in Two-field Inflation
• Large Nonlocal Non-Gaussianity from a Curvaton Brane
• Fundamental limits on constraining primordial non-Gaussianity
• Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation
• General and consistent statistics for cosmological observations
• Why Must Primordial Non-Gaussianity Be Very Small?
• Probing the initial state of inflation: analytical structure of cosmological correlators
• Trispectrum estimation in various models of equilateral type non-Gaussianity
• Planck Trispectrum Constraints on Primordial Non-Gaussianity at Cubic Order
• New DBI Inflation model with Kinetic Coupling to Einstein Gravity
• Cosmology from the kinetic polarized Sunyaev Zel'dovich effect
• Perturbative region on non-Gaussian parameter space in single-field inflation
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum
• Constraining equilateral-type primordial non-Gaussianities from imaging surveys
• Higher order spectra from an initially anisotropic universe
• Derivative Interactions during Inflation: A Systematic Approach