Probing Primordial black holes with the distortion of Stochastic Gravitational Wave Background

Abstract

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.

arXiv comment9 pages, 7 figure; Accepted by Physical Review D

References in corpus (28)

• On the normalisation of the cosmic star formation history
• A History of Dark Matter
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates
• Primordial Black Holes as a dark matter candidate
• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• Wave Effects in Gravitational Lensing of Gravitational Waves from Chirping Binaries
• The astrophysical gravitational wave stochastic background
• The Evolution of Stellar Mass and the Implied Star Formation History
• Stochastic Gravitational Wave Background from Coalescing Binary Black Holes
• Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers
• Precision cosmology from future lensed gravitational wave and electromagnetic signals
• On the gravitational wave background from compact binary coalescences in the band of ground-based interferometers
• On the Evolutionary History of Stars and their Fossil Mass and Light
• The Impact of Star Formation and Gamma-Ray Burst Rates at High Redshift on Cosmic Chemical Evolution and Reionization
• Accessibility of the Gravitational-Wave Background due to Binary Coalescences to Second and Third Generation Gravitational-Wave Detectors
• Weak lensing of the CMB
• Astrophysical Sources of Stochastic Gravitational-Wave Background
• Arrival time differences between gravitational waves and electromagnetic signals due to gravitational lensing
• Lensing of gravitational waves as a probe of compact dark matter
• Strongly Lensed Transient Sources: A Review
• Strong Lensing of Gamma Ray Bursts as a Probe of Compact Dark Matter
• The wave nature of continuous gravitational waves from microlensing
• Search for lensing signatures from the latest fast radio burst observations and constraints on the abundance of primordial black holes
• Probing compact dark matter with gravitational wave fringes detected by the Einstein Telescope
• Bounds on abundance of primordial black hole and dark matter from EDGES 21-cm signal
• The Primordial Black Hole Mass Range
• Gravitational wave background from extreme-mass-ratio inspirals

Cited by in corpus (1)

• Gravitational Lensing of Gravitational Waves from Astrophysical Sources: Theory, Detection, and Applications