Beware of the running when producing heavy primordial black holes
arXiv:2510.18791 · doi:10.1103/shz2-xzcy
Abstract
We examine single-field inflationary models for the formation of primordial black holes (PBHs). By analyzing the latest observations from the Atacama Cosmology Telescope (ACT)~\cite{ACT:2025fju, ACT:2025tim}, we demonstrate that the observed preference for positive running () of the scalar spectral index imposes significant restrictions on the parameter space for a large class of ultra-slow-roll (USR) models. This tension becomes progressively pronounced for more massive PBHs, posing substantial challenges for USR models to yield a detectable PBH abundance, especially in the mass range probed by ongoing and future gravitational-wave experiments such as LIGO-Virgo-KAGRA and the Einstein Telescope. However, this discrepancy is minimal for asteroid-mass PBHs, which are still capable of feasibly constituting the entirety of dark matter. To numerically probe the six-dimensional parameter space of the models, we adapted a Markov Chain Monte Carlo approach to efficiently scan over the viable configurations. Our results further indicate that, in non-minimally coupled polynomial inflation, a viable cosmic microwave background (CMB) spectrum is best obtained at an inflection point for which second-order slow-roll approximation is necessary for precise CMB predictions.
arXiv commentv2 matches PRD version
References in corpus (116)
- emcee: The MCMC Hammer
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Planck 2018 results. X. Constraints on inflation
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
- The Simons Observatory: Science goals and forecasts
- DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
- Encyclopaedia Inflationaris
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- The NANOGrav 15-year Data Set: Search for Signals from New Physics
- Formalising the Slow-Roll Approximation in Inflation
- The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
- Large Scale Structure and Supersymmetric Inflation without Fine Tuning
- A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
- Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
- Primordial black holes from single field models of inflation
- Detector configuration of DECIGO/BBO and identification of cosmological neutron-star binaries
- Gravitational Waves Induced by non-Gaussian Scalar Perturbations
- Relativistic second-order perturbations of the Einstein-de Sitter Universe
- Mission design of LiteBIRD
- D-Term Inflation
- Science with the Einstein Telescope: a comparison of different designs
- Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
- A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
- The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars
- Duality Invariance of Cosmological Perturbation Spectra
- AEDGE: Atomic Experiment for Dark Matter and Gravity Exploration in Space
- Primordial black hole dark matter from single field inflation
- Dynamics of Primordial Black Hole Formation
- Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
- AION: An Atom Interferometer Observatory and Network
- Hybrid Inflation from Supergravity D Terms
- New Horizons for Fundamental Physics with LISA
- Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum
- Single Field Double Inflation and Primordial Black Holes
- Primordial Black Holes as Generators of Cosmic Structures
- DESI 2024 III: Baryon Acoustic Oscillations from Galaxies and Quasars
- Cosmic microwave background bounds on primordial black holes including dark matter halo accretion
- Did NANOGrav see a signal from primordial black hole formation?
- Calculating the mass spectrum of primordial black holes
- The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
- The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
- Enhancement of superhorizon scale inflationary curvature perturbations
- The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
- A new calculation of the mass fraction of primordial black holes
- Equation-of-State Parameter for Reheating
- Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
- Primordial Black Holes from a tiny bump/dip in the Inflaton potential
- Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
- The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
- Induced gravitational waves as a probe of thermal history of the universe
- Mechanisms for Primordial Black Hole Production in String Theory
- Planck constraints on the tensor-to-scalar ratio
- Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
- Minimally Parametric Power Spectrum Reconstruction from the Lyman-alpha Forest
- Observable Spectra of Induced Gravitational Waves from Inflation
- Primordial Black Holes from String Inflation
- 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
- Anatomy of single-field inflationary models for primordial black holes
- Running-Mass Inflation Model and Primordial Black Holes
- Unified treatment of cosmological perturbations from super-horizon to small scales
- Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation
- Non-perturbative non-Gaussianity and primordial black holes
- Probing the equation of state of the early Universe with pulsar timing arrays
- Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
- Running Spectral Index and Formation of Primordial Black Hole in Single Field Inflation Models
- Probing non-Gaussianities with the high frequency tail of induced gravitational waves
- Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
- Black hole constraints on the running-mass inflation model
- Constraints of relic gravitational waves by Pulsar Timing Array: Forecasts for the FAST and SKA projects
- Gravitational waves induced by the local-type non-Gaussian curvature perturbations
- Prospective Sensitivities of Atom Interferometers to Gravitational Waves and Ultralight Dark Matter
- Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
- Constraints on Supersymmetric Grand Unified Theories from Cosmology
- No-go Theorem for Scalar-Trispectrum-Induced Gravitational Waves
- Peaks and primordial black holes: the effect of non-Gaussianity
- Prospects for probing gravitational waves from primordial black hole binaries
- Fractional attractors in light of the latest ACT observations
- Generating Primordial Black Holes Via Hilltop-Type Inflation Models
- Primordial black holes from single-field inflation: a fine-tuning audit
- Constraints on amplitudes of curvature perturbations from primordial black holes
- PBH remnants as dark matter produced in thermal, matter and runaway-quintessence post-inflationary scenarios
- Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance
- SPIDER: CMB polarimetry from the edge of space
- Primordial Gravitational Waves From Black Hole Evaporation in Standard and Non-Standard Cosmologies
- Primordial Non-Gaussianity and Anisotropies in Scalar-Induced Gravitational Waves
- Induced gravitational waves from the cosmic coincidence
- Induced gravitational waves as a cosmological probe of the sound speed during the QCD phase transition
- Primordial Black Hole Archaeology with Gravitational Waves from Cosmic Strings
- Primordial black hole dark matter from inflation: the reverse engineering approach
- Confronting hybrid inflation in supergravity with CMB data
- Curbing PBHs with PTAs
- Primordial black holes and gravitational waves in nonstandard cosmologies
- Primordial black holes and gravitational waves induced by exponential-tailed perturbations
- Induced Gravitational Wave interpretation of PTA data: a complete study for general equation of state
- Simultaneously probing the sound speed and equation of state of the early Universe with pulsar timing arrays
- Implications of the NANOGrav result on primordial gravitational waves in nonstandard cosmologies
- Reheating ACTs on Starobinsky and Higgs inflation
- Small Field Polynomial Inflation: Reheating, Radiative Stability and Lower Bound
- Searching for Primordial Black Holes with the Einstein Telescope: impact of design and systematics
- The Primordial Black Hole Abundance: The Broader, the Better
- Toward the primordial black hole formation threshold in a time-dependent equation-of-state background
- Primordial black holes and third order scalar induced gravitational waves
- Primordial black holes and inflation from double-well potentials
- D-term Inflation in Superstring Theories
- Smooth vs instant inflationary transitions: steepest growth re-examined and primordial black holes
- Primordial Black Hole Formation from Power Spectrum with Finite-width
- Are single-field models of inflation and PBHs production ruled out by ACT observations?
- Unexpected shape of the primordial black hole mass function
- Production of primordial black holes in improved E-models of inflation
- Is the formation of primordial black holes from single-field inflation compatible with standard cosmology?
- Robust μ-distortion constraints on primordial supermassive black holes from cubic (gNL) non-Gaussian perturbations
- Extended mass distribution of PBHs during QCD phase transition: SGWB and mini-EMRIs
- Insights into the highest natural scale: Finite naturalness challenges inflationary dynamics