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Main Authors: Liang, Zheng-Cheng, Li, Zhi-Yuan, Li, En-Kun, Zhang, Jian-dong, Hu, Yi-Ming
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2403.18709
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author Liang, Zheng-Cheng
Li, Zhi-Yuan
Li, En-Kun
Zhang, Jian-dong
Hu, Yi-Ming
author_facet Liang, Zheng-Cheng
Li, Zhi-Yuan
Li, En-Kun
Zhang, Jian-dong
Hu, Yi-Ming
contents Weak-signal limit is often used in estimating stochastic gravitational-wave background (SGWB) intensities. This approximation fails and the signal-to-noise ratio (SNR) can be much weaker when background signals are loud compared to the detector noise. In this work, we highlight this limitation for the SGWB detection using space-borne detector networks. For the TianQin + LISA network, the SNR estimated under the weak-signal limit might be off by as large as an order of magnitude. Contour plots of SNR over the parameter spaces are also presented to indicate regions susceptible to this discrepancy. Our results suggest that DA and DB type extragalactic double white dwarfs may yield an SGWB with SNR surpassing 100 after 1 year of operation in the weak-signal-limit scenario, with a redshift-independent merger rate of about $500\,\,{\rm Mpc^{-3}\,Myr^{-1}}$. In fact, this value falls significantly below the necessary threshold. Similar influences arise for first-order phase transitions, yet pinning down parameter regions remains formidable due to model uncertainties.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18709
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Revisiting Stochastic Gravitational-wave Background in the Strong Signal Case
Liang, Zheng-Cheng
Li, Zhi-Yuan
Li, En-Kun
Zhang, Jian-dong
Hu, Yi-Ming
General Relativity and Quantum Cosmology
Weak-signal limit is often used in estimating stochastic gravitational-wave background (SGWB) intensities. This approximation fails and the signal-to-noise ratio (SNR) can be much weaker when background signals are loud compared to the detector noise. In this work, we highlight this limitation for the SGWB detection using space-borne detector networks. For the TianQin + LISA network, the SNR estimated under the weak-signal limit might be off by as large as an order of magnitude. Contour plots of SNR over the parameter spaces are also presented to indicate regions susceptible to this discrepancy. Our results suggest that DA and DB type extragalactic double white dwarfs may yield an SGWB with SNR surpassing 100 after 1 year of operation in the weak-signal-limit scenario, with a redshift-independent merger rate of about $500\,\,{\rm Mpc^{-3}\,Myr^{-1}}$. In fact, this value falls significantly below the necessary threshold. Similar influences arise for first-order phase transitions, yet pinning down parameter regions remains formidable due to model uncertainties.
title Revisiting Stochastic Gravitational-wave Background in the Strong Signal Case
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2403.18709