Squeezed bispectrum and one-loop corrections in transient constant-roll inflation

Abstract

In canonical single-field inflation, the production of primordial black holes (PBH) requires a transient violation of the slow-roll condition. The transient ultra slow-roll inflation is an example of such scenarios, and more generally, one can consider the transient constant-roll inflation. We investigate the squeezed bispectrum in the transient constant-roll inflation and find that Maldacena's consistency relation holds for a sufficiently long-wavelength mode, whereas it is violated for modes around the peak scale for the non-attractor case. We also demonstrate how the one-loop corrections are modified compared to the case of the transient ultra slow-roll inflation, focusing on representative one-loop terms originating from a time derivative of the second slow-roll parameter in the cubic action. We find that the perturbativity requirement on those terms does not rule out the production of PBH from the transient constant-roll inflation. Therefore, it is a simple counterexample of the recently claimed no-go theorem of PBH production from single-field inflation.

29 pages, 15 figures; v2 matches the published version in JCAP

References in corpus (105)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Planck 2018 results. X. Constraints on inflation
• Quantum Contributions to Cosmological Correlations
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Single field consistency relation for the 3-point function
• Primordial black holes from single field models of inflation
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• Keldysh technique and non-linear sigma-model: basic principles and applications
• Horizon crossing and inflation with large η
• 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
• The Quantum Gravitational Back-Reaction On Inflation
• Primordial Black Hole production in Critical Higgs Inflation
• Primordial Black Holes as Generators of Cosmic Structures
• Quantum Gravity Slows Inflation
• Cosmic microwave background bounds on primordial black holes including dark matter halo accretion
• Inflation with a constant rate of roll
• Stochastic gravitational waves associated with the formation of primordial black holes
• Calculating the mass spectrum of primordial black holes
• On the consistency relation of the 3-point function in single field inflation
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Chaotic new inflation and formation of primordial black holes
• Primordial Black Holes from Inflation and non-Gaussianity
• Primordial Black Holes from $\alpha$-attractors
• Primordial Black Holes from a tiny bump/dip in the Inflaton potential
• Primordial black holes as a tool for constraining non-Gaussianity
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• Conformal Symmetries of Adiabatic Modes in Cosmology
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Non-Gaussian Fluctuations and Primordial Black Holes from Inflation
• Primordial Black Holes from Inflation and Quantum Diffusion
• Non-linear metric perturbations and production of primordial black holes
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation
• Improved Estimates of Cosmological Perturbations
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• The (not so) squeezed limit of the primordial 3-point function
• Primordial black hole formation with non-Gaussian curvature perturbations
• Primordial Black Holes from String Inflation
• Accelerating early massive galaxy formation with primordial black holes
• One-loop corrections to a scalar field during inflation
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
• Primordial Black Holes for the LIGO Events in the Axion-like Curvaton Model
• Anatomy of single-field inflationary models for primordial black holes
• Loop Corrections to Standard Model Fields in Inflation
• PBH in single field inflation: the effect of shape dispersion and non-Gaussianities
• On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
• Ultra-slow-roll inflation with quantum diffusion
• $f(R)$ constant-roll inflation
• Primordial black holes as biased tracers
• Classical approximation to quantum cosmological correlations
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• Abundance of primordial black holes with local non-Gaussianity in peak theory
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• PBH formation in EFT of single field inflation with sharp transition
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• Clustering of primordial black holes: Basic results
• Constant-roll inflation: confrontation with recent observational data
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Gravitational waves induced by the local-type non-Gaussian curvature perturbations
• Primordial black holes as dark matter and gravitational waves from bumpy axion inflation
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Influence of large local and non-local bispectra on primordial black hole abundance
• Amplification of Primordial Perturbations from the Rise or Fall of the Inflaton
• Constant roll and primordial black holes
• Primordial black hole constraints for curvaton models with predicted large non-Gaussianity
• Soft Theorems For Shift-Symmetric Cosmologies
• Primordial Black Holes Arise When The Inflaton Falls
• Initial clustering and the primordial black hole merger rate
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Constant-roll inflation in scalar-tensor gravity
• Statistical nature of infrared dynamics on de Sitter background
• The Primordial Black Hole Formation from Single-Field Inflation is Not Ruled Out
• Inflationary trispectrum from graviton exchange
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• Primordial black holes and gravitational waves induced by exponential-tailed perturbations
• Clustering of primordial black holes with non-Gaussian initial fluctuations
• Influence on observation from IR divergence during inflation -- Multi field inflation --
• The long-short wavelength mode coupling tightens primordial black hole constraints
• The Primordial Black Hole Formation from Single-Field Inflation is Still Not Ruled Out
• Squeezed Bispectrum in the $\delta N$ Formalism: Local Observer Effect in Field Space
• Path Integral for Inflationary Perturbations
• Dynamical Analysis of Attractor Behavior in Constant Roll Inflation
• Consistency Relations for Non-Gaussianity
• Can all the infrared secular growth really be understood as increase of classical statistical variance?
• Observational Constraints on Constant Roll Inflation
• The effect of non-Gaussian curvature perturbations on the formation of primordial black holes
• On the constant-roll inflation with large and small ${\eta }_H$
• Simple single-field inflation models with arbitrarily small tensor/scalar ratio
• Revisiting non-Gaussianity in non-attractor inflation models in the light of the cosmological soft theorem
• The Separate Universe Approach to Soft Limits
• Path integral for multi-field inflation
• Primordial non-Gaussianities from inflation
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Local observer effect on the cosmological soft theorem

Cited by in corpus (37)

• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Cancellation of quantum corrections on the soft curvature perturbations
• Primordial perturbations from ultra-slow-roll single-field inflation with quantum loop effects
• Numerical 1-loop correction from a potential yielding ultra-slow-roll dynamics
• The separate-universe approach and sudden transitions during inflation
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• No time to derive: unraveling total time derivatives in in-in perturbation theory
• Ultra-Slow-Roll Inflation on the Lattice I: Backreaction and Nonlinear Effects
• Highly asymmetric probability distribution from a finite-width upward step during inflation
• Formation of trapped vacuum bubbles during inflation, and consequences for PBH scenarios
• Primordial black holes and induced gravitational waves from double-pole inflation
• Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity
• Large fluctuations and Primordial Black Holes
• Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics II: Quartic interactions and consistency relations
• Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation
• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Primordial Black Holes and Scalar-induced Gravitational Waves in Radiative Hybrid Inflation
• Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Constant roll and non-Gaussian tail in light of logarithmic duality
• Role of the counterterms in the conservation of superhorizon curvature perturbations at one loop
• Bulk Black Hole Dark Matter
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production
• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
• Non-Gaussianities and Primordial Black Holes
• Generating large primordial fluctuations in single-field inflation for PBH formation
• Inflationary relics from an Ultra-Slow-Roll plateau
• Stochastic Inflation with Interacting Noises
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism