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Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries

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arxiv 2102.05280 v1 pith:KAZCQXUN submitted 2021-02-10 astro-ph.CO gr-qchep-th

classification astro-ph.COgr-qchep-th
keywords primordialcurvaturescaleslargesmallblackmergerperturbation
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The properties of primordial curvature perturbations on small scales are still unknown while those on large scales have been well probed by the observations of the cosmic microwave background anisotropies and the large scale structure. In this paper, we propose the reconstruction method of primordial curvature perturbations on small scales through the merger rate of binary primordial black holes, which could form from large primordial curvature perturbation on small scales.

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  1. Reconstruction of Primordial Power Spectrum from Gravitational Waves of High-Redshift Black Hole Binaries

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Gradient-descent inversion of redshifted BBH mass distributions recovers the PBH mass function and, via regularized Press-Schechter, a candidate O(10^{-2}) bump in the small-scale primordial power spectrum.

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