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We derive new positivity bounds at finite momentum transfer, assuming a large separation between the mass m of the lightest particle in the effective theory and the mass gap M to new heavy states. Massive gravity parametrically violates these bounds unless the cutoff is within 1 order of magnitude of the graviton mass M≲O(10)m. Nongravitational effective theories of massive spin-2 particles are similarly bounded. Published by the American Physical Society 2024
Bellazzini et al. (Mon,) studied this question.