Abstract
In models with spontaneous symmetry breaking by scalar fields in large group representations, we observe that some of the scalar masses can be loop-suppressed with respect to the naive expectation from symmetry selection rules. We present minimal models — the SU(2) five-plet and SU(3) ten-plet — with such accidentally light scalars, featuring compact tree-level flat directions lifted by radiative corrections. We sketch some potential applications, from stable relics and slow roll in cosmology, to hierarchy and fine-tuning problems in particle physics.
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Acknowledgments
We thank G. Burdman and N. Grimbaum-Yamamoto for useful discussions. MF thanks the IF-USP (Brazil) for hospitality along the development of this work. MF has received support from the European Union Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreements No 860881-HIDDeN and No 101086085-ASYMMETRY. TH work is supported by the Excellence of Science (EoS) project No. 30820817 — be.h “The H boson gateway to physics beyond the Standard Model”, and by the IISN convention 4.4503.15.
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Brümmer, F., Ferrante, G., Frigerio, M. et al. Accidentally light scalars from large representations. J. High Energ. Phys. 2024, 75 (2024). https://doi.org/10.1007/JHEP01(2024)075
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DOI: https://doi.org/10.1007/JHEP01(2024)075