Abstract
We study possible strong first-order electroweak phase transitions in Composite Higgs models and we quantify the part of parameter space that can be probed with future gravitational wave experiments. We focus on models where the Composite Higgs sector arises from underlying four-dimensional strongly interacting gauge theories with fermions, and where the Standard Model fermion masses are induced via linear mixing terms with composite fermions — the so-called fermion partial compositeness framework. We perform our analysis for the general class of Composite Higgs models arising from N Weyl fermions in a pseudo-real representation of the new strongly interacting gauge group that dynamically triggers the global chiral symmetry breaking pattern SU(N) → Sp(N). The minimal model has N = 4 and for N > 4 the models feature complex scalar dark matter candidates arising as pseudo-Nambu-Goldstone bosons. We find a large number of points in the models parameter space which yield strong first-order electroweak phase transitions and identify the most important operators characterizing the strength of the phase transition. Almost all of these points are testable with future GW detectors such as LISA, Taiji, Tianqin, BBO, DECIGO and Ultimate-DECIGO.
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Acknowledgments
MTF and MR acknowledge partial funding from The Independent Research Fund Denmark, grant numbers DFF 6108-00623 and DFF 1056-00027B, respectively. KT acknowledges the financial support from Academy of Finland, project #342777. MET acknowledges funding from Augustinus Fonden, application #22 19584, to cover part of the expenses associated with visiting the University of Helsinki for half a year. We would also like to thank Marek Lewicki for useful discussions about the gravitational wave calculations.
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Frandsen, M.T., Heikinheimo, M., Rosenlyst, M. et al. Gravitational waves from SU(N)/SP(N) composite Higgs models. J. High Energ. Phys. 2023, 22 (2023). https://doi.org/10.1007/JHEP09(2023)022
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DOI: https://doi.org/10.1007/JHEP09(2023)022