Cosmological and high-energy physics implications from gravitational-wave background searches in LIGO-Virgo-KAGRA’s O1–O4a runs

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© 2026 The authors. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. https://creativecommons.org/licenses/by/4.0/

• Submitted: 10 November 2025
• Accepted: 21 July 2026
• Published (online): 22 October 2026
• Published: October 2026