Evaluating statistical significance for massive black hole binary mergers with space-based gravitational wave detectors

Fuente: arXiv
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Autores principales: Chen, Hong-Yu, Li, En-Kun, Hu, Yi-Ming
Formato: Preprint
Publicado: 2025
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author Chen, Hong-Yu
Li, En-Kun
Hu, Yi-Ming
author_facet Chen, Hong-Yu
Li, En-Kun
Hu, Yi-Ming
contents Important scientific discoveries should be backed by high statistical significance. In the 2030s, multiple space-based gravitational wave detectors are expected to operate. While many works aim to achieve quick and reliable detection and parameter estimation of millihertz gravitational wave sources, dedicated studies are lacking to assess the significance of space-based detectors. In this work, we propose a framework to assess the statistical significance of massive black hole binaries (MBHBs) detections with space-based gravitational wave detectors. We apply this algorithm to simulated data with Gaussian stationary noise and the complex LDC-2a dataset to measure the false alarm rate and significance of MBHB signals. We also analyze factors affecting the significance of MBHBs and design a method to mitigate multi-source confusion interference. In Gaussian noise conditions, MBHBs with a signal-to-noise ratio of about 7 can achieve $3 σ$ significance, and those with a signal-to-noise ratio of about 8 achieve $4 σ$. Our analysis demonstrates that all MBHB signals in the LDC-2a dataset have a significance exceeding $4.62 σ$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09446
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Evaluating statistical significance for massive black hole binary mergers with space-based gravitational wave detectors
Chen, Hong-Yu
Li, En-Kun
Hu, Yi-Ming
General Relativity and Quantum Cosmology
Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
Important scientific discoveries should be backed by high statistical significance. In the 2030s, multiple space-based gravitational wave detectors are expected to operate. While many works aim to achieve quick and reliable detection and parameter estimation of millihertz gravitational wave sources, dedicated studies are lacking to assess the significance of space-based detectors. In this work, we propose a framework to assess the statistical significance of massive black hole binaries (MBHBs) detections with space-based gravitational wave detectors. We apply this algorithm to simulated data with Gaussian stationary noise and the complex LDC-2a dataset to measure the false alarm rate and significance of MBHB signals. We also analyze factors affecting the significance of MBHBs and design a method to mitigate multi-source confusion interference. In Gaussian noise conditions, MBHBs with a signal-to-noise ratio of about 7 can achieve $3 σ$ significance, and those with a signal-to-noise ratio of about 8 achieve $4 σ$. Our analysis demonstrates that all MBHB signals in the LDC-2a dataset have a significance exceeding $4.62 σ$.
title Evaluating statistical significance for massive black hole binary mergers with space-based gravitational wave detectors
topic General Relativity and Quantum Cosmology
Astrophysics of Galaxies
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2505.09446