On-shell Bootstrap for n-gluons and gravitons scattering in (A)dS, Unitarity and Soft limit
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913268493189120 |
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| author | Mei, Jiajie Mo, Yuyu |
| author_facet | Mei, Jiajie Mo, Yuyu |
| contents | We propose an algorithm to recursively bootstrap $n$-point gluon and graviton Mellin-Momentum amplitudes in (A)dS spacetime using only three-point amplitude. We discover that gluon amplitudes are simply determined by factorization for $n\geq 5$. The same principle applies to $n$-point graviton amplitudes, but additional constraints such as flat space and soft limits are needed to fix contact terms. Furthermore, we establish a mapping from $n$-point Mellin-Momentum amplitudes to $n$-point cosmological correlators. We efficiently compute explicit examples up to five points. This leads to the first five-graviton amplitude in $AdS_{d+1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09111 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On-shell Bootstrap for n-gluons and gravitons scattering in (A)dS, Unitarity and Soft limit Mei, Jiajie Mo, Yuyu High Energy Physics - Theory General Relativity and Quantum Cosmology We propose an algorithm to recursively bootstrap $n$-point gluon and graviton Mellin-Momentum amplitudes in (A)dS spacetime using only three-point amplitude. We discover that gluon amplitudes are simply determined by factorization for $n\geq 5$. The same principle applies to $n$-point graviton amplitudes, but additional constraints such as flat space and soft limits are needed to fix contact terms. Furthermore, we establish a mapping from $n$-point Mellin-Momentum amplitudes to $n$-point cosmological correlators. We efficiently compute explicit examples up to five points. This leads to the first five-graviton amplitude in $AdS_{d+1}$. |
| title | On-shell Bootstrap for n-gluons and gravitons scattering in (A)dS, Unitarity and Soft limit |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2402.09111 |