Extended mass distribution of PBHs during QCD phase transition: SGWB and mini-EMRIs

Abstract

Primordial black holes (PBHs) are one of the most important tracers of cosmic history. In this work, we investigate the formation of PBHs around the time of the QCD phase transition from a broadly peaked inflationary scalar power spectrum, which naturally produces an extended PBH mass function. This scenario yields two distinct stochastic gravitational wave backgrounds (SGWB): (i) scalar-induced, second-order tensor perturbations generated at PBH formation, and (ii) a merger-driven SGWB from the subsequent PBH binary population. Using Bayesian analysis, we examine both SGWB channels with the data from the NANOGrav 15-year dataset and the first three observing runs of LVK. We also forecast continuous-wave signals from mini extreme mass ratio inspirals (mini-EMRIs) for direct comparison with NANOGrav and LVK constraints. Our parameter scans identify regions of the parameter space where the combined SGWB is detectable in future ground-based and space-based detectors. A broad PBH mass distribution naturally gives rise to mini-EMRIs, which future ground-based observatories, such as LVK A+, ET, and CE, can detect. For a large part of the PBH parameter space, the SGWB of astrophysical origin masks the primordial SGWB in the frequency band of ground-based detectors. Thus, for extended PBH mass distributions, we find that the detection of mini-EMRIs is a more robust channel for probing the PBH parameter space than the corresponding SGWB.

arXiv commentv1: 33 Pages, 9 Figures, 2 Tables, v2: 38 Pages, 10 Figures, 2 Tables, Added waveforms from IMRPhenomXAS and FastEMRIWaveforms, v3: 40 Pages, 10 Figures, 3 Tables (minor changes, version accepted for publication in Phys. Rev. D)

References in corpus (119)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Advanced LIGO
• 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
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• 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
• Did LIGO detect dark matter?
• 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
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• Full result for the QCD equation of state with 2+1 flavors
• Primordial Black Holes as Dark Matter
• 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
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• The NANOGrav 15-year Data Set: Search for Signals from New Physics
• Primordial Black Holes as Dark Matter: Recent Developments
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Gravitational-wave sensitivity curves
• The cosmological gravitational wave background from primordial density perturbations
• Primordial Black Holes as a dark matter candidate
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
• Primordial Black Holes
• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Neutrinos in cosmology
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• Theoretical Black Hole Mass Distributions
• Primordial black holes from single field models of inflation
• Primordial black hole constraints for extended mass functions
• Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• Gravitational wave background as a probe of the primordial black hole abundance
• The QCD phase transition with physical-mass, chiral quarks
• Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
• GW150914: Implications for the stochastic gravitational wave background from binary black holes
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• Cosmology with the Laser Interferometer Space Antenna
• Dynamics of Primordial Black Hole Formation
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• AION: An Atom Interferometer Observatory and Network
• Formation and Evolution of Primordial Black Hole Binaries in the Early Universe
• The second data release from the European Pulsar Timing Array I. The dataset and timing analysis
• Search for the isotropic stochastic background using data from Advanced LIGO's second observing run
• Upper Limits on the Stochastic Gravitational-Wave Background from Advanced LIGO's First Observing Run
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• New Sensitivity Curves for Gravitational-Wave Signals from Cosmological Phase Transitions
• Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
• Primordial black hole formation in the early universe: critical behaviour and self-similarity
• CMB polarization from secondary vector and tensor modes
• Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum
• The astrophysical gravitational wave stochastic background
• GetDist: a Python package for analysing Monte Carlo samples
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Gravitational Waves from a Compact Star in a Circular, Inspiral Orbit, in the Equatorial Plane of a Massive, Spinning Black Hole, as Observed by LISA
• Reconstructing the spectral shape of a stochastic gravitational wave background with LISA
• A universal threshold for primordial black hole formation
• Cosmic Conundra Explained by Thermal History and Primordial Black Holes
• Relativistic Dynamics and Extreme Mass Ratio Inspirals
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• The Parkes Pulsar Timing Array Third Data Release
• Primordial black holes with an accurate QCD equation of state
• Lower bound on the primordial black hole merger rate
• FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
• Two populations of LIGO-Virgo black holes
• Constraints on the Primordial Black Hole Abundance from the First Advanced LIGO Observation Run Using the Stochastic Gravitational-Wave Background
• Constraints on cosmic strings using data from the third Advanced LIGO-Virgo observing run
• Gravitational wave background from binary systems
• Primordial Black Holes as Dark Matter Candidates
• Generating PBHs and small-scale GWs in two-field models of inflation
• Primordial Black Hole Formation during First-Order Phase Transitions
• Stochastic Gravitational Wave Background from Coalescing Binary Black Holes
• Digging deeper: Observing primordial gravitational waves below the binary black hole produced stochastic background
• Black Holes' Dark Dress: On the merger rate of a subdominant population of primordial black holes
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
• Curvature profiles as initial conditions for primordial black hole formation
• The Evolution of Primordial Black Holes and their Final Observable Spins
• Formation Rate of Extreme Mass Ratio Inspirals in Active Galactic Nuclei
• A Resonant Mode for Gravitational Wave Detectors based on Atom Interferometry
• From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch
• Silk damping at a redshift of a billion: a new limit on small-scale adiabatic perturbations
• Quantum diffusion beyond slow-roll: implications for primordial black-hole production
• Low Mass Black Holes from Dark Core Collapse
• On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering
• WIMP Dark Matter and the QCD Equation of State
• Shouts and Murmurs: Combining Individual Gravitational-Wave Sources with the Stochastic Background to Measure the History of Binary Black Hole Mergers
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• Effects of the surrounding primordial black holes on the merger rate of primordial black hole binaries
• Prospective Sensitivities of Atom Interferometers to Gravitational Waves and Ultralight Dark Matter
• On the Primordial Black Hole Mass Function for Broad Spectra
• Could MACHOS be Primordial Black Holes formed during the QCD Epoch?
• Primordial Black Holes from Broad Spectra: Abundance and Clustering
• Search for gravitational waves from the coalescence of sub-solar mass binaries in the first half of Advanced LIGO and Virgo's third observing run
• Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog
• Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance
• Distinct signatures of spinning PBH domination and evaporation: doubly peaked gravitational waves, dark relics and CMB complementarity
• Primordial black hole dark matter from inflation: the reverse engineering approach
• Curbing PBHs with PTAs
• Constraints on primordial black holes from LIGO-Virgo-KAGRA O3 events
• Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain
• Small scale induced gravitational waves from primordial black holes, a stringent lower mass bound, and the imprints of an early matter to radiation transition
• Lensing of fast radio bursts: future constraints on primordial black hole density with an extended mass function and a new probe of exotic compact fermion and boson stars
• LISA Sensitivity to Gravitational Waves from Sound Waves
• Testing Primordial Black Holes with multi-band observations of the stochastic gravitational wave background
• The QCD phase transition behind a PBH origin of LIGO/Virgo events?
• pygwb: Python-based library for gravitational-wave background searches
• Probing Boson Stars with Extreme Mass Ratio Inspirals
• Observing nulling of primordial correlations via the 21 cm signal
• The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
• Constraining the history of reheating with the NANOGrav 15-year data
• Search for a gravitational wave background from primordial black hole binaries using data from the first three LIGO-Virgo-KAGRA observing runs
• Constraining the impact of standard model phase transitions on primordial black holes

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• Beware of the running $n_s$ when producing heavy primordial black holes
• Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves
• Cosmic Overture Echoed in a Stellar Final Act: Implications of Nanohertz Gravitational Waves for Core Collapse Supernova Neutrinos