{ "id": "2004.11392", "version": "v1", "published": "2020-04-23T18:00:05.000Z", "updated": "2020-04-23T18:00:05.000Z", "title": "Gravitational wave background from Standard Model physics: Complete leading order", "authors": [ "J. Ghiglieri", "G. Jackson", "M. Laine", "Y. Zhu" ], "comment": "33 pages", "categories": [ "hep-ph", "astro-ph.CO" ], "abstract": "We compute the production rate of the energy density carried by gravitational waves emitted by a Standard Model plasma in thermal equilibrium, consistently to leading order in coupling constants for momenta $k\\sim \\pi T$. Summing up the contributions from the full history of the universe, the highest temperature of the radiation epoch can be constrained by the so-called $N_{\\rm eff}$ parameter. The current theoretical uncertainty $\\Delta N_{\\rm eff} \\le 10^{-3}$ corresponds to $T_{\\rm max} \\le 2\\times 10^{17}$ GeV. In the course of the computation, we show how a subpart of the production rate can be determined with the help of standard packages, even if subsequently an IR subtraction and thermal resummation need to be implemented.", "revisions": [ { "version": "v1", "updated": "2020-04-23T18:00:05.000Z" } ], "analyses": { "keywords": [ "standard model physics", "gravitational wave background", "complete leading order", "production rate", "standard model plasma" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable" } } }