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PreprintCC BY 4.0arXiv

Gravitational-Wave Microlensing as a Probe of Compact Object Population

Abstract

The abundance of compact objects ranging from stellar to intermediate masses (∼ 1 − 105M⊙) remains poorly constrained, particularly for populations such as primordial black holes and dark matter subhalos that emit little or no electromagnetic radiation. Gravitational-wave (GW) microlensing provides a complementary way to probe these populations through wave-optics effects imprinted on the GW signals, with implications for astrophysical and cosmological inference. We develop a hierarchical Bayesian framework to infer the population properties of microlenses from an ensemble of microlensed GW events, constraining the slope of the power-law lens mass function (αML), the lens number density (n0), and the fraction of dark matter in compact lenses (fDM). Using simulated microlensed GW signals drawn from a realistic binary black hole population, we find that ∼ 100 detected microlensed events are able to constrain both αML and n0, although a degeneracy between the two remains. For a low-mass-dominated lens population (αML=2) with n0=106 Mpc−3, a three-year observation at the O4 sensitivity yields ∼ 130 detectable microlensed events and recovers the injected dark-matter fraction, fDM≃ 1.2 × 10−4, with a 90% credible interval of 7.3 × 10−5 ≲ fDM ≲ 1.8 × 10−4.

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BibTeX
@misc{seo2026gravitationalwave,
  title = {{Gravitational-Wave Microlensing as a Probe of Compact Object Population}},
  author = {Eungwang Seo and Jose María Ezquiaga and Martin Hendry},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05947},
  eprint = {2611.05947},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05947},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gravitational-Wave Microlensing as a Probe of Compact Object Population
AU  - Eungwang Seo
AU  - Jose María Ezquiaga
AU  - Martin Hendry
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.05947
UR  - https://arxiv.org/abs/2611.05947
AB  - The abundance of compact objects ranging from stellar to intermediate masses (∼ 1 − 10^5M_⊙) remains poorly constrained, particularly for populations such as primordial black holes and dark matter subhalos that emit little or no electromagnetic radiation. Gravitational-wave (GW) microlensing provides a complementary way to probe these populations through wave-optics effects imprinted on the GW signals, with implications for astrophysical and cosmological inference. We develop a hierarchical Bayesian framework to infer the population properties of microlenses from an ensemble of microlensed GW events, constraining the slope of the power-law lens mass function (α_ML), the lens number density (n_0), and the fraction of dark matter in compact lenses (f_DM). Using simulated microlensed GW signals drawn from a realistic binary black hole population, we find that ∼ 100 detected microlensed events are able to constrain both α_ML and n_0, although a degeneracy between the two remains. For a low-mass-dominated lens population (α_ML=2) with n_0=10^6 Mpc^−3, a three-year observation at the O4 sensitivity yields ∼ 130 detectable microlensed events and recovers the injected dark-matter fraction, f_DM≃ 1.2 × 10^−4, with a 90% credible interval of 7.3 × 10^−5 ≲ f_DM ≲ 1.8 × 10^−4.
ER  -