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

arXiv:2607.11145 · astro-ph.CO, hep-ph · Submitted 2026-07-13 · Read on arXiv

Qianhang Ding, Xinpeng Wang, Masahide Yamaguchi, Ying-li Zhang

astro-ph.CO, hep-ph

Submitted: 2026-07-13

Comments: 24 pages, 6 figures, 3 tables

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Regularization — 33× in this paper · explained in 3 episodes
• Inverse Problem — 15× in this paper · explained in 2 episodes
• Abundance — 12× in this paper · explained in 1 episode
• Non-Gaussianity — 6× in this paper · explained in 2 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Consistency — 4× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Primordial Black Holes (PBHs) — 2× in this paper · explained in 7 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Institute for Basic Science — 1× in this paper
• Loss Function — 1× in this paper · explained in 2 episodes
• Over-smoothing — 1× in this paper · explained in 4 episodes
• Primordial non-Gaussianity — 1× in this paper · explained in 2 episodes
• Signal-to-noise ratio (SNR) — 1× in this paper · explained in 2 episodes

Sources

• Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries
• Reconstruction of Power Spectrum of Primordial Curvature Perturbations on small scales from Primordial Black Hole Binaries scenario of LIGO/VIRGO detection
• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4 M_{\odot}$
• GW190814: Gravitational Waves from the Coalescence of a 23 M$_\odot$ Black Hole with a 2.6 M$_\odot$ Compact Object
• GW190425, GW190521 and GW190814: Three candidate mergers of primordial black holes from the QCD epoch
• GW190521: A Binary Black Hole Merger with a Total Mass of $150 ~ M_{\odot}$
• GW231123: a Binary Black Hole Merger with Total Mass 190-265 $M_{\odot}$
• The GW190521 Mass Gap Event and the Primordial Black Hole Scenario
• GW231123 Mass Gap Event and the Primordial Black Hole Scenario
• Detectability of Primordial Black Hole Binaries at High Redshift
• Laser Interferometer Space Antenna
• TianQin: a space-borne gravitational wave detector
• Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
• Pre-DECIGO can get the smoking gun to decide the astrophysical or cosmological origin of GW150914-like binary black holes
• Constraining high-redshift stellar-mass primordial black holes with next-generation ground-based gravitational-wave detectors
• Science with the TianQin observatory: Preliminary results on massive black hole binaries
• Taiji Program: Gravitational-Wave Sources
• Properties of the Binary Black Hole Merger GW150914
• An overview of gradient descent optimization algorithms

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