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arXiv · 2311.00022

Regge growth of isolated massive spin-2 particles and the Swampland

Suman Kundu·Eran Palti·Joan Quirant
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Abstract

We consider an effective theory with a single massive spin-2 particle and a gap to the cutoff. We couple the spin-2 particle to gravity, and to other lower-spin fields, and study the growth of scattering amplitudes of the particle in the Regge regime: where $s$ is much larger than $t$ and also any mass scales in the effective theory, but still much lower than the cutoff scale of the theory and therefore any further massive spin-2 particles. We include in the effective theory all possible operators, with an arbitrary, but finite, number of derivatives. We prove that the scattering amplitude grows strictly faster than $s^2$ in any such theory. Such fast growth goes against expected bounds on Regge growth. We therefore find further evidence for the Swampland spin-2 conjecture: that a theory with an isolated massive spin-2 particle, coupled to gravity, is in the Swampland.

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Suman Kundu, Eran Palti, Joan Quirant. 2023-10-31. Regge growth of isolated massive spin-2 particles and the Swampland. https://arxiv.org/abs/2311.00022

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