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I will first define the gravitational-wave background and highlight the currently used detection method. The first three observing runs by the LIGO/Virgo/KAGRA collaboration have not detected such a background placing stringent upper limits which depend on the source (compact binaries, cosmic strings, phase transitions). I will then discuss how these limits can be used to constrain astrophysical models, high energy physics models beyond the Standard Model and early Universe cosmological scenario.
Videoconference via https://us02web.zoom.us/j/83848208421