Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866914775801266176 |
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| author | Abhishek, Md. Hegde, Subramanya Jatkar, Dileep P. Saha, Arnab Priya Suthar, Amit |
| author_facet | Abhishek, Md. Hegde, Subramanya Jatkar, Dileep P. Saha, Arnab Priya Suthar, Amit |
| contents | We study four point planar loop amplitudes at an arbitrary point in the Coulomb branch of $\mathcal{N}=4$ super-Yang-Mills theory. We study two particle unitary cuts up to four loop order. We explicitly verify that bubble and triangle graphs do not contribute at one loop level and show that the results hold at higher loop level as well. We also write down an all loop recursion relation for two particle reducible graphs for four point amplitudes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05705 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory Abhishek, Md. Hegde, Subramanya Jatkar, Dileep P. Saha, Arnab Priya Suthar, Amit High Energy Physics - Theory We study four point planar loop amplitudes at an arbitrary point in the Coulomb branch of $\mathcal{N}=4$ super-Yang-Mills theory. We study two particle unitary cuts up to four loop order. We explicitly verify that bubble and triangle graphs do not contribute at one loop level and show that the results hold at higher loop level as well. We also write down an all loop recursion relation for two particle reducible graphs for four point amplitudes. |
| title | Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2308.05705 |