Consistency conditions and primordial black holes in single field inflation

Abstract

We discuss new consistency relations for single field models of inflation capable of generating primordial black holes (PBH), and their observational implications for CMB $\mu$-space distortions. These inflationary models include a short period of non-attractor evolution: the scale-dependent profile of curvature perturbation is characterized by a pronounced dip, followed by a rapid growth leading to a peak responsible for PBH formation. We investigate the squeezed and the collapsed limits of three and four point functions of curvature perturbation around the dip, showing that they satisfy consistency relations connecting their values to the total amplification of the curvature spectrum, and to the duration of the non-attractor era. Moreover, the corresponding non-Gaussian parameters are scale-dependent in proximity of the dip, with features that again depend on the amplification of the spectrum. For typical PBH scenarios requiring an order $\mathcal{O}(10^7)$ enhancement of the spectrum from large towards small scales, we generally find values $f_{\mathrm{NL}}^{\mathrm{sq}}=\mathcal{O}(10)$ and ${\tau }_{\mathrm{NL}}^{\mathrm{col}}=\mathcal{O}(10^3)$ in a range of scales that can be probed by CMB $\mu$-space distortions. Using these consistency relations, we carefully analyze how the scale-dependence of non-Gaussian parameters leads to characteristic features in $⟨\mu T⟩$ and $⟨\mu \mu ⟩$ correlators, providing distinctive probes of inflationary PBH scenarios that can be tested using well-understood CMB physics.

arXiv comment27 Pages + Appendices, 15 Figures

References in corpus (87)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Cosmic Microwave Background Spectrum from the Full COBE/FIRAS Data Set
• New cosmological constraints on primordial black holes
• Constraints on Primordial Black Holes
• An All-Sky Analysis of Polarization in the Microwave Background
• Primordial Black Holes as Dark Matter
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Primordial Black Holes as Dark Matter: Recent Developments
• Density Perturbations and Black Hole Formation in Hybrid Inflation
• The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
• Single field consistency relation for the 3-point function
• Primordial black holes from single field models of inflation
• The evolution of CMB spectral distortions in the early Universe
• Primordial black hole dark matter from single field inflation
• Steepest growth of the power spectrum and primordial black holes
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Primordial Black Holes and Slow-Roll Violation
• On Soft Limits of Inflationary Correlation Functions
• Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Primordial Black Hole production in Critical Higgs Inflation
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Non-Gaussianity in the modulated reheating scenario
• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Running Non-Gaussianities in DBI Inflation
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• Primordial trispectrum from inflation
• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Enhancement of superhorizon scale inflationary curvature perturbations
• Detecting a small perturbation through its non-Gaussianity
• Power Spectrum Constraints from Spectral Distortions in the Cosmic Microwave Background
• The Angular Trispectra of CMB Temperature and Polarization
• Seeding primordial black holes in multifield inflation
• Primordial Black Holes from Inflation and Quantum Diffusion
• Massive Primordial Black Holes as Dark Matter and their detection with Gravitational Waves
• Primordial Black Holes from Polynomial Potentials in Single Field Inflation
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation
• A Single Field Inflation Model with Large Local Non-Gaussianity
• Mechanisms for Primordial Black Hole Production in String Theory
• Scale-dependent non-Gaussianity probes inflationary physics
• Primordial Black Holes from String Inflation
• Primordial black holes and secondary gravitational waves from k/G inflation
• Revisiting non-Gaussianity from non-attractor inflation models
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Scale dependence of local f_NL
• Teasing bits of information out of the CMB energy spectrum
• A New Window on Primordial non-Gaussianity
• Primordial black holes as dark matter and gravitational waves from single-field polynomial 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
• Turning in the landscape: a new mechanism for generating Primordial Black Holes
• Dissecting the growth of the power spectrum for primordial black holes
• CMB spectral distortions from small-scale isocurvature fluctuations
• Probing Primordial Features with the Stochastic Gravitational Wave Background
• PBH dark matter from axion inflation
• Axion inflation with gauge field production and primordial black holes
• In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation
• An analytical approximation of the scalar spectrum in the ultra-slow-roll inflationary models
• On the slope of curvature power spectrum in non-attractor inflation
• An analytic approach to non-slow-roll inflation
• Primordial black holes as dark matter and gravitational waves from bumpy axion inflation
• Amplification of Primordial Perturbations from the Rise or Fall of the Inflaton
• Multi-messenger Probes of Inflationary Fluctuations and Primordial Black Holes
• Soft Theorems For Shift-Symmetric Cosmologies
• Does Bose-Einstein condensation of CMB photons cancel μ distortions created by dissipation of sound waves in the early Universe?
• A universal bound on N-point correlations from inflation
• Primordial Black Holes Arise When The Inflaton Falls
• Features of the inflaton potential and the power spectrum of cosmological perturbations
• How Gaussian can our Universe be?
• Primordial black hole formation in inflationary $\alpha$-attractor models
• Probing the scale dependence of non-Gaussianity with spectral distortions of the cosmic microwave background
• Non-Gaussianity in inflationary scenarios for primordial black holes
• The Physical Squeezed Limit: Consistency Relations at Order q^2
• On the scalar consistency relation away from slow roll
• Non-Gaussianity of superhorizon curvature perturbations beyond $\delta$ N formalism
• Evolution of CMB spectral distortion anisotropies and tests of primordial non-Gaussianity
• Extracting foreground-obscured $\mu$-distortion anisotropies to constrain primordial non-Gaussianity
• Spectral distortion anisotropies from single-field inflation
• Primordial non-Gaussianity with $\mu$-type and $y$-type spectral distortions: exploiting Cosmic Microwave Background polarization and dealing with secondary sources
• Correlating CMB Spectral Distortions with Temperature: what do we learn on Inflation?
• Cosmological constraints from $\mu E$ cross-correlations
• Revisiting non-Gaussianity in non-attractor inflation models in the light of the cosmological soft theorem
• CMB $\mu T$ cross-correlations as a probe of PBH scenarios
• Constant-rate inflation: primordial black holes from conformal weight transitions
• Application of beyond $\delta N$ formalism -- Varying sound speed

Cited by in corpus (18)

• Inflation and Primordial Black Holes
• Anatomy of single-field inflationary models for primordial black holes
• Primordial Black Hole Formation in Starobinsky's Linear Potential Model
• One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics
• Primordial black hole dark matter from inflation: the reverse engineering approach
• Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
• Loop contributions to the scalar power spectrum due to quartic order action in ultra slow roll inflation
• Missing one-loop contributions in secondary gravitational waves
• Observing nulling of primordial correlations via the 21 cm signal
• Non-Gaussianity constraints from Planck spectral distortion cross-correlations
• Primordial black holes and inflation from double-well potentials
• Spectral Distortion Anisotropy from Inflation for Primordial Black Holes
• Smooth vs instant inflationary transitions: steepest growth re-examined and primordial black holes
• Constraining ultra slow roll inflation using cosmological datasets
• Non-Gaussianities and Primordial Black Holes
• An analytical approximation of the evolution of the primordial curvature perturbation in the ultraslow-roll inflation
• Inflationary relics from an Ultra-Slow-Roll plateau
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism