On-shell functions on the Coulomb branch of $\mathcal{N}=4$ SYM
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914776137859072 |
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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 on-shell functions in the kinematic space for the Coulomb branch of $\mathcal{N}=4$ SYM. We construct BCFW bridges that help us build bigger on-shell functions. As a consequence, we provide on-shell diagram formulations for BCFW shifts that correspond to various mass configurations. We will use this to calculate the quadruple cut for the one-loop amplitude on the Coulomb branch and maximal cuts for higher-loops. We make preliminary comments on finding the inequivalent set of on-shell functions for the Coulomb branch. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17763 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On-shell functions on the Coulomb branch of $\mathcal{N}=4$ SYM Abhishek, Md. Hegde, Subramanya Jatkar, Dileep P. Saha, Arnab Priya Suthar, Amit High Energy Physics - Theory We study on-shell functions in the kinematic space for the Coulomb branch of $\mathcal{N}=4$ SYM. We construct BCFW bridges that help us build bigger on-shell functions. As a consequence, we provide on-shell diagram formulations for BCFW shifts that correspond to various mass configurations. We will use this to calculate the quadruple cut for the one-loop amplitude on the Coulomb branch and maximal cuts for higher-loops. We make preliminary comments on finding the inequivalent set of on-shell functions for the Coulomb branch. |
| title | On-shell functions on the Coulomb branch of $\mathcal{N}=4$ SYM |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.17763 |