Bayesian Implications for the Primordial Black Holes from NANOGrav's Pulsar-Timing Data Using the Scalar-Induced Gravitational Waves

Abstract

Assuming that the common-spectrum process in the NANOGrav 12.5-year dataset has an origin of scalar-induced gravitational waves, we study the enhancement of primordial curvature perturbations and the mass function of primordial black holes, by performing the Bayesian parameter inference for the first time. We obtain lower limits on the spectral amplitude, i.e., $\mathcal{A}\gtrsim 10^{-2}$ at 95\% confidence level, when assuming the power spectrum of primordial curvature perturbations to follow a log-normal distribution function with width $\sigma$. In the case of $\sigma \to 0$, we find that the primordial black holes with $2\times 10^{-4}-10^{-2}$ solar mass are allowed to compose at least a fraction $10^{-6}$ of dark matter. Such a mass range is shifted to more massive regimes for larger values of $\sigma$, e.g., to a regime of $4\times 10^{-3}-0.2$ solar mass in the case of $\sigma =1$. We expect the planned gravitational-wave experiments to have their best sensitivity to $\mathcal{A}$ in the range of $10^{-4}$ to $10^{-7}$, depending on the experimental setups. With this level of sensitivity, we can search for primordial black holes throughout the entire parameter space, especially in the mass range of $10^{-16}$ to $10^{-11}$ solar masses, where they could account for all dark matter. In addition, the importance of multi-band detector networks is emphasized to accomplish our theoretical expectation.

arXiv comment15 pages, 5 figures, 1 table, version published

References in corpus (61)

• Astropy: A Community Python Package for Astronomy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Did LIGO detect dark matter?
• TEMPO2, a new pulsar timing package. I: Overview
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Constraints on Primordial Black Holes
• Primordial Black Holes as Dark Matter
• Gravitational Wave Experiments and Early Universe Cosmology
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
• The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Gravitational-wave sensitivity curves
• Beyond LISA: Exploring Future Gravitational Wave Missions
• The cosmological gravitational wave background from primordial density perturbations
• The construction and use of LISA sensitivity curves
• Tempo2, a new pulsar timing package. II: The timing model and precision estimates
• Primordial Black Holes
• Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations
• The merger rate of primordial-black-hole binaries
• The NANOGrav 11-year Data Set: Pulsar-timing Constraints On The Stochastic Gravitational-wave Background
• Fundamental Physics with the Square Kilometre Array
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• The NANOGrav Nine-year Data Set: Limits on the Isotropic Stochastic Gravitational Wave Background
• Gravitational Waves from Primordial Black Hole Mergers
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• New Sensitivity Curves for Gravitational-Wave Signals from Cosmological Phase Transitions
• CMB polarization from secondary vector and tensor modes
• Primordial gravitational waves, precisely: The role of thermodynamics in the Standard Model
• 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
• Primordial black holes with an accurate QCD equation of state
• Signatures of primordial black hole dark matter
• Clusters of primordial black holes
• Primordial Black Holes from Inflation and non-Gaussianity
• Solar-Mass Primordial Black Holes Explain NANOGrav Hint of Gravitational Waves
• Induced gravitational wave background and primordial black holes
• Merger Rate Distribution of Primordial-Black-Hole Binaries
• Non-Gaussianity and the induced gravitational wave background
• Cosmological constraints on primordial black holes produced in the near-critical gravitational collapse
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• 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
• New advances in the Gaussian-process approach to pulsar-timing data analysis
• Constraints on primordial density perturbations from induced gravitational waves
• Probing Primordial-Black-Hole Dark Matter with Scalar Induced Gravitational Waves
• Primordial black holes in peak theory with a non-Gaussian tail
• Measuring the spectrum of primordial gravitational waves with CMB, PTA and Laser Interferometers
• Highly non-Gaussian tails and primordial black holes from single-field inflation
• Primordial-black-hole mergers in dark-matter spikes
• One-loop correction to the enhanced curvature perturbation with local-type non-Gaussianity for the formation of primordial black holes
• Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves
• Search for a scalar induced stochastic gravitational wave background in the third LIGO-Virgo observing run
• NANOGrav signal as mergers of Stupendously Large Primordial Black Holes
• The Third Order Scalar Induced Gravitational Waves
• Probing primordial black holes with anisotropies in stochastic gravitational-wave background
• Primordial black holes and third order scalar induced gravitational waves
• GW200105 and GW200115 are compatible with a scenario of primordial black hole binary coalescences
• Cosmological 21cm line observations to test scenarios of super-Eddington accretion on to black holes being seeds of high-redshifted supermassive black holes

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• Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem
• Limits on scalar-induced gravitational waves from the stochastic background by pulsar timing array observations
• Hybrid $\alpha$-attractors, primordial black holes and gravitational wave backgrounds
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets
• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• NANOGrav signal from axion inflation
• Constraints On Scalar-Induced Gravitational Waves Up To Third Order From Joint Analysis of BBN, CMB, And PTA Data
• Axion-Gauge Dynamics During Inflation as the Origin of Pulsar Timing Array Signals and Primordial Black Holes
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• Sudden braking and turning with a two-field potential bump: primordial black hole formation
• Scalar induced gravitational waves in chiral scalar-tensor theory of gravity
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Implications of Pulsar Timing Array Results for High Frequency Gravitational Waves
• Dark Matter Spike surrounding Supermassive Black Holes Binary and the Nanohertz Stochastic Gravitational Wave Background
• Primordial blackhole formation: Exploring chaotic potential with a sharp step via the GLMS perspective
• Projected gravitational wave constraints on primordial black hole abundance for extended mass distributions
• Primordial gravitational waves and curvature perturbations induced energy density perturbation
• Scalar-induced gravitational waves in spatially covariant gravity
• Searching Stochastic Gravitational Wave Background Landscape Across Frequency Bands