Abstract
We argue for a relation between the supersymmetry breaking scale and the measured value of the dark energy density Λ. We derive it by combining two quantum gravity consistency swampland constraints, which tie the dark energy density Λ and the gravitino mass M3/2, respectively, to the mass scale of a light Kaluza-Klein tower and, therefore, to the UV cut-off of the effective theory. Whereas the constraint on Λ has recently led to the Dark Dimension scenario, with a prediction of a single mesoscopic extra dimension of the micron size, we use the constraint on M3/2 to infer the implications of such a scenario for the scale of supersymmetry breaking. We find that a natural scale for supersymmetry signatures is
This mass scale is within reach of LHC and of the next generation of hadron colliders. Finally, we discuss possible string theory and effective supergravity realizations of the Dark Dimension scenario with broken supersymmetry.
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Acknowledgments
We thank O. Aharony, R. Blumenhagen, M. Cicoli, L. Randall and C. Vafa for useful discussions. The work of L.A.A. is supported by the U.S. National Science Foundation (NSF Grant PHY-2112527). The work of N.C. is supported by the Alexander-von-Humboldt foundation. The work of D.L. is supported by the Origins Excellence Cluster and by the German-Israel-Project (DIP) on Holography and the Swampland.
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Anchordoqui, L.A., Antoniadis, I., Cribiori, N. et al. The Scale of Supersymmetry Breaking and the Dark Dimension. J. High Energ. Phys. 2023, 60 (2023). https://doi.org/10.1007/JHEP05(2023)060
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DOI: https://doi.org/10.1007/JHEP05(2023)060