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Gravitational Waves Induced by Scalar Perturbations with a Broken Power-law Peak

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arxiv 2407.12914 v2 pith:NHE3KAFA submitted 2024-07-17 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords spectrumpower-lawapproximationbrokengravitationalanalyticalenergyfeatures
verification ladder T0 review T1 audit T2 compute T3 formal
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We give an analytical approximation for the energy spectrum of the scalar-induced gravitational waves (SIGWs) generated by a broken power-law power spectrum, and find that both the asymptotic power-law tails and the intermediate peak contribute distinct features to the SIGW spectrum. Moreover, the broken power-law power spectrum has abundant near-peak features and our results can be used as a near-peak approximation that covers a wide range of models. Our analytical approximation is useful in the rapid generation of the SIGW energy spectrum, which is beneficial for gravitational wave data analysis.

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Cited by 4 Pith papers

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

  1. Superhorizon curvature perturbations in hybrid inflation revisited

    astro-ph.CO 2026-06 unverdicted novelty 6.0 of 10

    Hybrid inflation's waterfall tachyonic instability grows isocurvature modes that convert to curvature perturbations at the field-space turn, yielding a k^{3}-peaked spectrum with always-positive f_NL that enhances PBH...

  2. Reconstructing Primordial Curvature Perturbations via Scalar-Induced Gravitational Waves with LISA

    astro-ph.CO 2025-01 conditional novelty 6.0 of 10

    LISA can reconstruct the primordial curvature power spectrum from scalar-induced gravitational waves, with percent-level precision near the peak and Bayesian tests separating SIGWs from other sources.

  3. Scalar-induced gravitational waves from a box-shaped curvature power spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Analytic SIGW spectra for a log-box curvature power spectrum: narrow-box geometric overlap factor turning IR slope k^{3}ln^{2}k into k^{2}ln^{2}k, plus broad-box product of universal edge functions.

  4. One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production

    gr-qc 2025-02 conditional novelty 5.0 of 10

    For E-type alpha-attractor inflation models tuned to produce asteroid-mass primordial black holes, the one-loop correction from cubic interactions is only a few percent of the tree-level power spectrum.

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