Gravity-Matter Sum Rules in models with a single extra-dimension
arXiv:2311.01507 · doi:10.1007/JHEP05(2024)315
Abstract
We prove a set of sum rules needed for KK-graviton pair production from matter in orbifolded extra-dimensional models. The sum rules can be found in full generality by considering the properties of solutions to the Sturm-Liouville problem, which describes the wave functions and the masses of the KK-gravitons in four dimensions. They ensure cancellations in the amplitudes of the processes mentioned above which considerably reduce their growth with in the high-energy limit. This protects extra-dimensional theories from the low-scale unitarity problems that plague other theories with massive spin-2 particles. We argue that such relations are valid for a broader category of models thus generalizing our previous results that were limited to the large limit of the Randall-Sundrum model.
arXiv comment11 pages, 2 figures, 2 tables
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