GW231123: A Case for Binary Microlensing in a Strong Lensing Field

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Main Authors: Shan, Xikai, Yang, Huan, Mao, Shude
Format: Preprint
Published: 2025
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author Shan, Xikai
Yang, Huan
Mao, Shude
author_facet Shan, Xikai
Yang, Huan
Mao, Shude
contents The unusual properties of GW231123, including component masses within the pair-instability mass gap ($137^{+22}_{-17}\mathrm{M}_\odot$ and $103^{+20}_{-52}\mathrm{M}_\odot$ at 90\% credible intervals) and extremely large spins near the Kerr limit, have challenged standard formation scenarios. While gravitational lensing has been proposed as an explanation, current millilensing studies suggest the signal consists of three overlapping images, a configuration that exceeds the predictions of the isolated point-mass lens model. In this work, we investigate a binary lens model embedded within a strong lensing galaxy. This is the simplest model that not only naturally produces the observed number of images but also aligns with the fact that microlensing objects usually reside in galaxies. To overcome the high computational cost of the diffraction integral required for wave optics, we constructed a Transformer-based neural network that accurately generates lensing waveforms within milliseconds per waveform. Using the NRSur7dq4 waveform model, we find primary and secondary lens masses of $714^{+239}_{-309} \mathrm{M}_\odot$ and $87^{+139}_{-73} \mathrm{M}_\odot$, respectively. We also find a strong lensing magnification of $5.56^{+2.78}_{-1.98}$ (at 90\% credible intervals) and a Bayes factor of $\log_{10}B^\mathrm{Binary}_\mathrm{Single}\simeq1.34$. This result underscores the necessity of considering multi-body and environmental effects in microlensing studies. More crucially, under this embedded binary lens interpretation, the inferred source-frame binary black hole masses ($80.0^{+21.3}_{-14.4} \mathrm{M}_\odot$ and $62.0^{+19.8}_{-29.4} \mathrm{M}_\odot$) and spins ($0.37^{+0.51}_{-0.33}$ and $0.40^{+0.52}_{-0.35}$) shift to values consistent with the current population constrained from O1--O3.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19118
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle GW231123: A Case for Binary Microlensing in a Strong Lensing Field
Shan, Xikai
Yang, Huan
Mao, Shude
Astrophysics of Galaxies
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
The unusual properties of GW231123, including component masses within the pair-instability mass gap ($137^{+22}_{-17}\mathrm{M}_\odot$ and $103^{+20}_{-52}\mathrm{M}_\odot$ at 90\% credible intervals) and extremely large spins near the Kerr limit, have challenged standard formation scenarios. While gravitational lensing has been proposed as an explanation, current millilensing studies suggest the signal consists of three overlapping images, a configuration that exceeds the predictions of the isolated point-mass lens model. In this work, we investigate a binary lens model embedded within a strong lensing galaxy. This is the simplest model that not only naturally produces the observed number of images but also aligns with the fact that microlensing objects usually reside in galaxies. To overcome the high computational cost of the diffraction integral required for wave optics, we constructed a Transformer-based neural network that accurately generates lensing waveforms within milliseconds per waveform. Using the NRSur7dq4 waveform model, we find primary and secondary lens masses of $714^{+239}_{-309} \mathrm{M}_\odot$ and $87^{+139}_{-73} \mathrm{M}_\odot$, respectively. We also find a strong lensing magnification of $5.56^{+2.78}_{-1.98}$ (at 90\% credible intervals) and a Bayes factor of $\log_{10}B^\mathrm{Binary}_\mathrm{Single}\simeq1.34$. This result underscores the necessity of considering multi-body and environmental effects in microlensing studies. More crucially, under this embedded binary lens interpretation, the inferred source-frame binary black hole masses ($80.0^{+21.3}_{-14.4} \mathrm{M}_\odot$ and $62.0^{+19.8}_{-29.4} \mathrm{M}_\odot$) and spins ($0.37^{+0.51}_{-0.33}$ and $0.40^{+0.52}_{-0.35}$) shift to values consistent with the current population constrained from O1--O3.
title GW231123: A Case for Binary Microlensing in a Strong Lensing Field
topic Astrophysics of Galaxies
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.19118