On Unitarity of Bespoke Amplitudes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866929622374940672 |
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| author | Bhardwaj, Rishabh Spradlin, Marcus Volovich, Anastasia Weng, He-Chen |
| author_facet | Bhardwaj, Rishabh Spradlin, Marcus Volovich, Anastasia Weng, He-Chen |
| contents | We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy limits. By analyzing the behavior of partial wave coefficients for highly massive states, we strictly rule out all bespoke amplitudes with asymptotically non-linear Regge trajectories and place constraints on the first few non-trivial parameters in asymptotically linear cases. Finally, we argue that while a large class of unitary bespoke amplitudes fails to satisfy Regge Sum Rules, there exists a smaller sub-class with a vanishing mass gap that is superpolynomially bounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04410 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Unitarity of Bespoke Amplitudes Bhardwaj, Rishabh Spradlin, Marcus Volovich, Anastasia Weng, He-Chen High Energy Physics - Theory We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy limits. By analyzing the behavior of partial wave coefficients for highly massive states, we strictly rule out all bespoke amplitudes with asymptotically non-linear Regge trajectories and place constraints on the first few non-trivial parameters in asymptotically linear cases. Finally, we argue that while a large class of unitary bespoke amplitudes fails to satisfy Regge Sum Rules, there exists a smaller sub-class with a vanishing mass gap that is superpolynomially bounded. |
| title | On Unitarity of Bespoke Amplitudes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.04410 |