RRR fluctuations from non-singular bounce

Abstract

We present a consistent treatment of regularization, renormalization, and resummation in a framework involving a contracting phase, a non-singular bounce, and inflation with a sharp transition from slow-roll to ultra-slow-roll, enabling primordial black hole production. Within an effective field theory approach, we compute quantum loop corrections to the power spectrum across all phases. Quadratic UV divergences are removed through renormalization, while logarithmic IR divergences are softened via resummation, demonstrating scheme independence. The inclusion of contraction and bounce allows the generation of solar-mass PBHs, $M_{\mathrm{PBH}}\sim \mathcal{O}(M_{\odot })$, with minimal inflation $\Delta N_{\mathrm{Total}}\sim \mathcal{O}(60)$, thereby evading the no-go theorem. For $0.88\le c_s\le 1$, the peak spectrum amplitude lies within $10^{-3}\le A\le 10^{-2}$, preserving causality and unitarity. PBH abundances across $10^{-33}-10^{-27}$ and $10^{-6}-10^{-1}{M}_{\odot }$ are confronted with microlensing constraints to control PBH overproduction.

31 pages, 4 figures, 1 table, Essay written and received honorable mention for the Gravity Research Foundation 2026 Awards for Essays on Gravitation, Published in the IJMPD special issue devoted to GRF 2026

References in corpus (82)

• Planck 2018 results. X. Constraints on inflation
• The Effective Field Theory of Inflation
• Effective Field Theory for Inflation
• Primordial black hole dark matter from single field inflation
• A Critical Review of Classical Bouncing Cosmologies
• New Ekpyrotic Cosmology
• Primordial Black Holes and Slow-Roll Violation
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• Scalaron from $R^2$-gravity as a Heavy Field
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• A universal threshold for primordial black hole formation
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Gravitational waves from a universe filled with primordial black holes
• Generating Ekpyrotic Curvature Perturbations Before the Big Bang
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Primordial Black Holes from $\alpha$-attractors
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
• Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation
• Primordial Black Holes from Polynomial Potentials in Single Field Inflation
• Curvature profiles as initial conditions for primordial black hole formation
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• Non-singular cosmology in a model of non-relativistic gravity
• Minimally Parametric Power Spectrum Reconstruction from the Lyman-alpha Forest
• Cosmology without inflation
• Primordial Black Holes from String Inflation
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function
• Silk damping at a redshift of a billion: a new limit on small-scale adiabatic perturbations
• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• PBH formation in EFT of single field inflation with sharp transition
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Constraining Primordial Black Hole Formation from Single-Field Inflation
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Primordial Black Hole Production in Inflationary Models of Supergravity with a Single Chiral Superfield
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• DHOST Bounce
• Primordial black holes from single-field inflation: a fine-tuning audit
• Note on the bispectrum and one-loop corrections in single-field inflation with primordial black hole formation
• Primordial black hole formation in inflationary $\alpha$-attractor models
• Primordial black holes and gravitational waves from non-canonical inflation
• Scalar and Tensor Perturbations in DHOST Bounce Cosmology
• Primordial black holes in loop quantum cosmology: The effect on the threshold
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Single field inflation in the light of Pulsar Timing Array Data: Quintessential interpretation of blue tilted tensor spectrum through Non-Bunch Davies initial condition
• Scalar induced gravity waves from ultra slow-roll Galileon inflation
• Emergent Universe and Genesis from the DHOST Cosmology
• Black hole formation in a contracting universe
• Numerical 1-loop correction from a potential yielding ultra-slow-roll dynamics
• Dynamical Constraints on RG Flows and Cosmology
• The separate-universe approach and sudden transitions during inflation
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• An Overview on the Nature of the Bounce in LQC and PQM
• Pulsar timing array observations as possible hints for nonsingular cosmology
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Pre-inflationary primordial perturbations
• CMB from EFT
• Bouncing cosmology from warped extra dimensional scenario
• Pre-inflation and Trans-Planckian Censorship
• Evading no-go for PBH formation and production of SIGWs using Multiple Sharp Transitions in EFT of single field inflation
• Thermalization in Quenched Open Quantum Cosmology
• Primordial perturbations with pre-inflationary bounce
• Anomalies in the CMB from a cosmic bounce
• Bounce and cyclic cosmology in new gravitational scalar-tensor theories
• Decoherence out of fire: Purity loss in expanding and contracting universes
• Constraining $F(R)$ bouncing cosmologies with primordial black holes
• Bouncing cosmology in a curved braneworld
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Predictions for the CMB from an anisotropic quantum bounce
• Loop corrections in Minkowski spacetime away from equilibrium. Part I. Late-time resummations
• Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results
• Aspects of non-singular bounce in modified gravity theories
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Enhance Primordial Black Hole Abundance through the Non-linear Processes around Bounce Point
• Large fluctuations in the Sky
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Stochastic origin of primordial fluctuations in the Sky
• Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
• Reconstructing inflationary potential from NANOGrav 15-year Data: A robust study using Non-Bunch Davies initial condition
• Bouncing Cosmologies