The (not so) squeezed limit of the primordial 3-point function

Abstract

We prove that, in a generic single-field model, the consistency relation for the 3-point function in the squeezed limit receives corrections that vanish quadratically in the ratio of the momenta, i.e. as (k_L/k_S)^2. This implies that a detection of a bispectrum signal going as 1/k_L^2 in the squeezed limit, that is suppressed only by one power of k_L compared with the local shape, would rule out all single-field models. The absence of this kind of terms in the bispectrum holds also for multifield models, but only if all the fields have a mass much smaller than H. The detection of any scale dependence of the bias, for scales much larger than the size of the haloes, would disprove all single-field models. We comment on the regime of squeezing that can be probed by realistic surveys.

18 pages, 2 figures. v2: minor changes to match JCAP published version

References in corpus (17)

• The Effective Field Theory of Inflation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Effective Field Theory for Inflation
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• On the consistency relation of the 3-point function in single field inflation
• Non-gaussianities and the Stimulated creation of quanta in the inflationary universe
• Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• Fast Computation of Bispectrum Features with Generalized Slow Roll
• Non-gaussianity of inflationary field perturbations from the field equation
• A new method for calculating the primordial bispectrum in the squeezed limit
• Generating Scale-Invariant Perturbations from Rapidly-Evolving Equation of State
• Scale-Invariance and the Strong Coupling Problem
• On the squeezed limit of the bispectrum in general single field inflation

Cited by in corpus (100)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Large-Scale Galaxy Bias
• Signatures of Supersymmetry from the Early Universe
• On Soft Limits of Inflationary Correlation Functions
• Non-Gaussianity as a Particle Detector
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• The Clustering of Galaxies in SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Constraints on Primordial Non-Gaussianity
• Non-Gaussianity from Step Features in the Inflationary Potential
• Building a Boostless Bootstrap for the Bispectrum
• Dissipative effects in the Effective Field Theory of Inflation
• Scale-dependent bias of galaxies and mu-type distortion of the cosmic microwave background spectrum from single-field inflation with a modified initial state
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• Heavy-Lifting of Gauge Theories By Cosmic Inflation
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background
• A Note on the Consistency Condition of Primordial Fluctuations
• In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation
• On Squeezed Limits in Single-Field Inflation - Part I
• Can we actually constrain $f_{\mathrm{NL}}$ using the scale-dependent bias effect? An illustration of the impact of galaxy bias uncertainties using the BOSS DR12 galaxy power spectrum
• Consistently violating the non-Gaussian consistency relation
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• The Effective Field Theory of Inflation Models with Sharp Features
• On the impact of galaxy bias uncertainties on primordial non-Gaussianity constraints
• Inflationary Consistency Conditions from a Wavefunctional Perspective
• Galaxy bias and primordial non-Gaussianity: insights from galaxy formation simulations with IllustrisTNG
• Sloan Digital Sky Survey III Photometric Quasar Clustering: Probing the Initial Conditions of the Universe using the Largest Volume
• Prospects for constraining the shape of non-Gaussianity with the scale-dependent bias
• How Gaussian can our Universe be?
• Scale-Dependent Galaxy Bias from Massive Particles with Spin during Inflation
• Non-Gaussianity Consistency Relations, Initial States and Back-reaction
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• Inflationary flavor oscillations and the cosmic spectroscopy
• Inflationary soft theorems revisited: A generalized consistency relation
• Exact Mapping between Tensor and Most General Scalar Power Spectra
• Amplitudes meet Cosmology: A (Scalar) Primer
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• On the scalar consistency relation away from slow roll
• Cancellation of quantum corrections on the soft curvature perturbations
• Consistency Relations for the Conformal Mechanism
• Tensor non-Gaussianity in chiral scalar-tensor theories of gravity
• Large non-Gaussian Halo Bias from Single Field Inflation
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Anisotropic Inflation with the non-Vacuum Initial State
• Assembly bias in the local PNG halo bias and its implication for $f_{\mathrm{NL}}$ constraints
• Constraining the initial conditions of the Universe using large scale structure
• Constraint of Void Bias on Primordial non-Gaussianity
• Effective perfect fluids in cosmology
• Examining the consistency relations describing the three-point functions involving tensors
• Localized Features in Non-Gaussianity from Heavy Physics
• A Cosmological Bootstrap for Resonant Non-Gaussianity
• Resilience of long modes in cosmological observables
• The squeezed limit of the bispectrum in multi-field inflation
• Lectures on Inflation
• Search for primordial non-Gaussianity in the quasars of SDSS-III BOSS DR9
• Responses of Halo Occupation Distributions: a new ingredient in the halo model & the impact on galaxy bias
• Soft limits in holographic cosmology
• Khronon inflation
• The tensor bi-spectrum in a matter bounce
• On the Initial State and Consistency Relations
• Solid Soft Theorems
• Probing the initial state of inflation: analytical structure of cosmological correlators
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
• Bispectrum from open inflation
• Relativistic cosmological large scale structures at one-loop
• The consistency condition for the three-point function in dissipative single-clock inflation
• Cosmological Polytopes and the Wavefuncton of the Universe for Light States
• The Separate Universe Approach to Soft Limits
• Scale-dependent bias from multiple-field inflation
• Production of non-gaussianities in a bouncing phase
• Primordial Non-Gaussianity in Supersolid Inflation
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Spatial Curvature at the Sound Horizon
• Conservation of $\zeta$ with radiative corrections from heavy field
• Cosmology in nonlocal gravity
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Radio-optical synergies at high redshift to constrain primordial non-Gaussianity
• Non-Gaussianities in generalized non-local $R^2$-like inflation
• The Physical Content of Long Tensor Modes in Cosmology
• The spatial gauge-dependence of single-field inflationary bispectra
• Classical Entanglement Structure in the Wavefunction of Inflationary Fluctuations
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• From matter to galaxies: General relativistic bias for the one-loop bispectrum
• Relativistic second-order initial conditions for simulations of large-scale structure
• Issues about Cosmological Ward Identities
• Scale-dependent halo bias and the squeezed limit bispectrum in the presence of radiation
• Probing Inflation with Precision Bispectra
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit
• Constraining primordial non-Gaussianity from the large scale structure two-point and three-point correlation functions
• The scalar-scalar-tensor inflationary three-point function in the axion monodromy model
• Non-Gaussianities in Dissipative EFT of Inflation Coupled to a Fluid
• Bispectrum at NLO in single field inflation: conservation and squeezed limit
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Beyond the two-point correlation: constraining primordial non-gaussianity with density perturbation moments
• The Black Hole Window on Cosmic Inflation