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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.07991 |
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| _version_ | 1866915541752479744 |
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| author | Huang, Yu-tin Ricossa, Sara Riva, Francesco Tsai, Jie-Da |
| author_facet | Huang, Yu-tin Ricossa, Sara Riva, Francesco Tsai, Jie-Da |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07991 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Rise of Linear Trajectories Huang, Yu-tin Ricossa, Sara Riva, Francesco Tsai, Jie-Da High Energy Physics - Theory 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. |
| title | The Rise of Linear Trajectories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.07991 |