Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves

Abstract

We investigate primordial black hole (PBH) formation in a cosmological scenario where curvature perturbations follow purely quadratic non-Gaussianity, $\zeta =A({\varphi }^2-langle{\varphi }^2⟩)$, arising from tachyonic instability in multicomponent inflationary models. Within an extended Press-Schechter framework based on the compaction function, we derive the probability distribution of the linear compaction function and its asymptotic exponential tail, demonstrating that the PBH abundance is exponentially sensitive not only to the amplitude of perturbations but also to the correlation coefficient $\rho$ between the smoothed field and its radial gradient. We further find that, in this tachyonic amplification scenario, the spectral width of the curvature power spectrum plays a decisive role in avoiding PBH overproduction: broad spectra yield mildly negative $\rho$ and fail to suppress PBH formation, while sufficiently narrow spectra drive $\rho \to -1$, resulting in exponential suppression while maintaining a sizable gravitational-wave signal. Thermal inflation serves as a benchmark for asteroid-mass PBH dark matter and high-frequency scalar-induced gravitational waves potentially detectable by future space-based interferometers, but its typically broad spectra make it challenging to reconcile pulsar timing array observations with PBH constraints.

arXiv commentPRD accepted version; discussion and references added

References in corpus (115)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• 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
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• New cosmological constraints on primordial black holes
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Primordial Black Holes as Dark Matter: Recent Developments
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Beyond LISA: Exploring Future Gravitational Wave Missions
• The cosmological gravitational wave background from primordial density perturbations
• Second-Order Cosmological Perturbations from Inflation
• Primordial Black Holes as a dark matter candidate
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• Detecting the Cosmic Gravitational Wave Background with the Big Bang Observer
• Cosmic microwave background limits on accreting primordial black holes
• Primordial black hole constraints for extended mass functions
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Non-Gaussianity of the primordial perturbation in the curvaton model
• 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
• MACHO Project Limits on Black Hole Dark Matter in the 1-30 Solar Mass Range
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies
• The second data release from the European Pulsar Timing Array I. The dataset and timing analysis
• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• CMB bounds on disk-accreting massive Primordial Black Holes
• CMB polarization from secondary vector and tensor modes
• General Relativistic Dynamics of Irrotational Dust: Cosmological Implications
• Cosmic microwave background bounds on primordial black holes including dark matter halo accretion
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Did NANOGrav see a signal from primordial black hole formation?
• Gravitational waves induced by scalar perturbations as probes of the small-scale primordial spectrum
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Voyager 1 $e^{\pm }$ Further Constrain Primordial Black Holes as Dark Matter
• The Parkes Pulsar Timing Array Third Data Release
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Solar-Mass Primordial Black Holes Explain NANOGrav Hint of Gravitational Waves
• Cosmological long-wavelength solutions and primordial black hole formation
• Primordial black holes in non-Gaussian regimes
• Updated Constraints on Asteroid-Mass Primordial Black Holes as Dark Matter
• The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
• Experimental Limits on Primordial Black Hole Dark Matter from the First Two Years of Kepler Data
• The end of the MACHO era- revisited: new limits on MACHO masses from halo wide binaries
• Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation
• The gravitational-wave background null hypothesis: Characterizing noise in millisecond pulsar arrival times with the Parkes Pulsar Timing Array
• Fast-Roll Inflation
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• Planck Constraint on Relic Primordial Black Holes
• Gauge Independence of Induced Gravitational Waves
• Cosmological Background Interpretation of Pulsar Timing Array Data
• Separate Universes Do Not Constrain Primordial Black Hole Formation
• Non-perturbative non-Gaussianity and primordial black holes
• Probing the equation of state of the early Universe with pulsar timing arrays
• Logarithmic Duality of the Curvature Perturbation
• Limits on scalar-induced gravitational waves from the stochastic background by pulsar timing array observations
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• The Need For Speed: Rapid Refitting Techniques for Bayesian Spectral Characterization of the Gravitational Wave Background Using PTAs
• Primordial black hole tower: Dark matter, earth-mass, and LIGO black holes
• No massive black holes in the Milky Way halo
• Gamma-ray detection from gravitino dark matter decay in the $\mu \nu$SSM
• Limits on the WIMP-nucleon scattering cross-section from neutrino telescopes
• The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transition
• Scalar induced gravitational waves in light of Pulsar Timing Array data
• Supercooling in Radiative Symmetry Breaking: Theory Extensions, Gravitational Wave Detection and Primordial Black Holes
• The hybrid inflation waterfall and the primordial curvature perturbation
• Constraints on primordial curvature power spectrum with pulsar timing arrays
• Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets
• Confronting sound speed resonance with pulsar timing arrays
• Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog
• Translating nano-Hertz gravitational wave background into primordial perturbations taking account of the cosmological QCD phase transition
• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
• Primordial Black Hole Formation in Non-Minimal Curvaton Scenario
• Model-independent reconstruction of the primordial curvature power spectrum from PTA data
• Axion-Gauge Dynamics During Inflation as the Origin of Pulsar Timing Array Signals and Primordial Black Holes
• Probing The Early Universe Cosmology With NANOGrav: Possibilities and Limitations
• Escape from supercooling with or without bubbles: gravitational wave signatures
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• Ultra-low mass PBHs in the early universe can explain the PTA signal
• Probing the speed of scalar-induced gravitational waves with pulsar timing arrays
• Gravitational waves induced by scalar-tensor mixing
• Constraining primordial non-Gaussianity from DESI quasar targets and Planck CMB lensing
• Large-scale Perturbations from the Waterfall Field in Hybrid Inflation
• Can the gravitational wave background feel wiggles in spacetime?
• Limits on planetary-mass primordial black holes from the OGLE high-cadence survey of the Magellanic Clouds
• Curvature perturbation spectra from waterfall transition, black hole constraints and non-Gaussianity
• Primordial Black Holes from Thermal Inflation
• Formation of trapped vacuum bubbles during inflation, and consequences for PBH scenarios
• Non-Gaussianity and Gravitational Waves from Quadratic and Self-interacting Curvaton
• Primordial black holes from a curvaton scenario with strongly non-Gaussian perturbations
• Unraveling the early universe's equation of state and primordial black hole production with PTA, BBN, and CMB observations
• Probing Virtual Axion-Like Particles by Precision Phase Measurements
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• The Atacama Cosmology Telescope: Measurement and Analysis of 1D Beams for DR4
• Spherically symmetric conformal gravity and "gravitational bubbles"
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Can we distinguish the adiabatic fluctuations and isocurvature fluctuations with pulsar timing arrays?
• Microlensing optical depth, event rate, and limits on compact objects in dark matter based on 20 yr of OGLE observations of the Small Magellanic Cloud
• Gravitational waves and primordial black holes from chirality imbalanced QCD first-order phase transition with $\mathcal{P}$ and $\mathcal{C}\mathcal{P}$ violation
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Extended mass distribution of PBHs during QCD phase transition: SGWB and mini-EMRIs
• Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition