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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/2510.10270 |
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| _version_ | 1866908824321916928 |
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| author | Feng, Haiyuan Yang, Rong-Jia Zhang, Jinjun |
| author_facet | Feng, Haiyuan Yang, Rong-Jia Zhang, Jinjun |
| contents | Based on the classical limit of relativistic scattering amplitudes, we compute the coupling between a general super-renormalizable gravity and massive scalar particles. This allows us to derive the $D$-dimensional metric corrections at both tree-level and one-loop level-the latter containing the first calculation by using newly derived three-graviton Feynman rules. By introducing Newtonian potential function $Φ\equiv\frac{h_{00}}{2}$, we reproduce at tree level, $\mathcal{O}(G)$, the well-known result proportional to the error function in four-dimensional spacetime. Furthermore, we obtain the loop-level contributions to the potential function at order $\mathcal{O}(G^2)$ and perform a numerical analysis of its behavior at large distances. Our results indicate that, at the one-loop level, the magnitude of the potential increases gradually with distance in the asymptotic regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Newtonian potential from scattering amplitudes in super-renormalizable gravity Feng, Haiyuan Yang, Rong-Jia Zhang, Jinjun High Energy Physics - Theory Based on the classical limit of relativistic scattering amplitudes, we compute the coupling between a general super-renormalizable gravity and massive scalar particles. This allows us to derive the $D$-dimensional metric corrections at both tree-level and one-loop level-the latter containing the first calculation by using newly derived three-graviton Feynman rules. By introducing Newtonian potential function $Φ\equiv\frac{h_{00}}{2}$, we reproduce at tree level, $\mathcal{O}(G)$, the well-known result proportional to the error function in four-dimensional spacetime. Furthermore, we obtain the loop-level contributions to the potential function at order $\mathcal{O}(G^2)$ and perform a numerical analysis of its behavior at large distances. Our results indicate that, at the one-loop level, the magnitude of the potential increases gradually with distance in the asymptotic regime. |
| title | Newtonian potential from scattering amplitudes in super-renormalizable gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.10270 |