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arXiv · 2510.07991

The Rise of Linear Trajectories

Yu-tin Huang·Sara Ricossa·Francesco Riva·Jie-Da Tsai
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Abstract

In this letter, we consider constraints on the low-energy spectrum of amplitudes with higher-spin exchange. Assuming unitarity, crossing symmetry, and super-convergent high energy behavior, reminiscent of the scattering of spin-1 and spin-2 massless helicity states, we demonstrate that the spectrum that maximizes the leading higher spin couplings of the second and third resonances is consistently given by a linear trajectory. Furthermore, for gravitational theories, the optimal spectrum is the linear trajectory defined by the mass and spin of the graviton and the lightest spin-4 resonance.

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Yu-tin Huang, Sara Ricossa, Francesco Riva, Jie-Da Tsai. 2025-10-09. The Rise of Linear Trajectories. https://doi.org/10.1103/byzm-k9lw

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