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Full analysis of the scalar-induced gravitational waves for the curvature perturbation with local-type non-Gaussianities

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arxiv 2308.07155 v2 pith:256TD76B submitted 2023-08-14 astro-ph.CO gr-qchep-th

Full analysis of the scalar-induced gravitational waves for the curvature perturbation with local-type non-Gaussianities

classification astro-ph.CO gr-qchep-th
keywords spectrumenergygravitationalmathrmorderpbhsconsideringdiagrams
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Primordial black holes (PBHs) are supposed to form through the gravitational collapse of regions with large density fluctuations. The formation of PBHs inevitably leads to the emission of scalar-induced gravitational wave (SIGW) signals, offering a unique opportunity to test the hypothesis of PBHs as a constituent of dark matter (DM). Previous studies have calculated the energy spectrum of SIGWs in local-type non-Gaussian models, primarily considering the contributions from the $F_{\mathrm{NL}}$-order or the $G_{\mathrm{NL}}$-order while neglecting connected diagrams. In this study, we extend the previous work by (i) considering the full contribution of non-Gaussian diagrams up to the $G_{\mathrm{NL}}$-order; (ii) deriving the generic scaling of the SIGW energy spectrum in the infrared region. We derive semi-analytical results applicable to arbitrary primordial power spectra and numerically evaluate the energy spectrum of SIGWs for a log-normal power spectrum.

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Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scalar-induced gravitational waves with non-Gaussianity up to all orders

    astro-ph.CO 2025-08 unverdicted novelty 7.0

    Lattice simulations directly calculate SIGW spectra with non-Gaussianity to all orders and show that modest non-Gaussianity alters ultraviolet spectral behavior.

  2. Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes

    astro-ph.CO 2026-06 unverdicted novelty 6.0

    Curvaton self-interactions in non-quadratic potentials produce a local non-Gaussian map that enables supermassive primordial black hole formation at peak amplitudes of order 10^{-5} while remaining consistent with μ-d...

  3. Are PTA measurements sensitive to gravitational wave non-Gaussianities?

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    PTA statistical tests cannot distinguish Gaussian and non-Gaussian GWB amplitude distributions in a model-agnostic way after decorrelation.

  4. Are PTA measurements sensitive to gravitational wave non-Gaussianities?

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    PTA statistical tests lose sensitivity to non-Gaussian GW features after decorrelation and cannot distinguish them model-agnostically.

  5. Nonperturbative stochastic inflation in perturbative dynamical background

    astro-ph.CO 2026-04 unverdicted novelty 6.0

    Derives stochastic equations from Schwinger-Keldysh formalism that include quantum diffusion and classical metric perturbations for non-perturbative ultra-slow-roll inflation, validated on Starobinsky and critical Hig...

  6. Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order

    astro-ph.CO 2025-05 unverdicted novelty 6.0

    Extends diagrammatic approach for scalar-induced gravitational waves to arbitrary-order local PNG, deriving semi-analytic spectra for energy density, anisotropies, bispectrum and trispectrum up to quartic terms.

  7. Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves

    hep-ph 2025-03 unverdicted novelty 6.0

    Covariant analysis of curvature perturbations from first-order phase transitions reveals gauge-dependent overestimation of primordial black holes and gravitational waves in prior non-covariant calculations, leading to...

  8. Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers

    astro-ph.CO 2026-07 conditional novelty 5.0

    ET+CE forecast: injected SIGW parameters (A_p, f_peak, f_NL, tau_NL, parity-odd tau_tilde_NL) are recovered within 1-2 sigma despite an astrophysical foreground, but the chiral V-mode is sub-threshold (SNR 0.5-1.9).

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

    astro-ph.CO 2026-04 conditional novelty 5.0

    For tachyonic models with ζ=A(φ²−σ²), the PBH abundance is exponentially set by the correlation ρ between field and radial gradient; narrow spectra drive ρ→−1 and suppress PBH formation without killing the induced GW signal.

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

    astro-ph.CO 2026-04 unverdicted novelty 5.0

    Purely quadratic non-Gaussianity from tachyonic instability allows narrow curvature spectra to exponentially suppress primordial black hole overproduction via correlation coefficient ρ approaching -1 while retaining s...

  11. Hunting Dark Matter with the Einstein Telescope

    astro-ph.CO 2026-04 unverdicted novelty 5.0

    Clustered primordial black holes may constitute all dark matter and produce a flat stochastic gravitational wave background detectable by the Einstein Telescope.