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Main Authors: Sun, Mingqi, Liao, Kai, Fan, Xi-Long
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.13477
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author Sun, Mingqi
Liao, Kai
Fan, Xi-Long
author_facet Sun, Mingqi
Liao, Kai
Fan, Xi-Long
contents The stochastic gravitational-wave background (SGWB), arising from the incoherent superposition of numerous compact binary coalescences, serves as a powerful probe of both astrophysical populations and fundamental physics. In this work, we investigate the influence of gravitational lensing on the SGWB, focusing on primordial black holes (PBHs) as potential lenses. Assuming PBHs as dark matter candidates with a broad cosmic distribution, we show that their lensing optical depth can be significantly enhanced, producing pronounced effects with relative deviations at the 10^-1 level. By systematically varying the PBH mass (M_PBH) and abundance (f_PBH), we demonstrate that the mass predominantly determines the frequency-dependent diffraction features of the spectrum, while the abundance primarily amplifies the overall lensing-induced deviation. Although the SGWB from binary black holes has not yet been observed, our analytical results provide theoretical insight into the possible imprint of lensing on its spectrum and suggest that future detections could offer a novel avenue to constrain dark matter scenarios.
format Preprint
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institution arXiv
publishDate 2025
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spellingShingle Probing Primordial black holes with the distortion of Stochastic Gravitational Wave Background
Sun, Mingqi
Liao, Kai
Fan, Xi-Long
Cosmology and Nongalactic Astrophysics
The stochastic gravitational-wave background (SGWB), arising from the incoherent superposition of numerous compact binary coalescences, serves as a powerful probe of both astrophysical populations and fundamental physics. In this work, we investigate the influence of gravitational lensing on the SGWB, focusing on primordial black holes (PBHs) as potential lenses. Assuming PBHs as dark matter candidates with a broad cosmic distribution, we show that their lensing optical depth can be significantly enhanced, producing pronounced effects with relative deviations at the 10^-1 level. By systematically varying the PBH mass (M_PBH) and abundance (f_PBH), we demonstrate that the mass predominantly determines the frequency-dependent diffraction features of the spectrum, while the abundance primarily amplifies the overall lensing-induced deviation. Although the SGWB from binary black holes has not yet been observed, our analytical results provide theoretical insight into the possible imprint of lensing on its spectrum and suggest that future detections could offer a novel avenue to constrain dark matter scenarios.
title Probing Primordial black holes with the distortion of Stochastic Gravitational Wave Background
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2510.13477