Landau Analysis of One-Cycle Negative Geometries
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911651579559936 |
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| author | Paranjape, Shruti Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia Weng, He-Chen |
| author_facet | Paranjape, Shruti Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia Weng, He-Chen |
| contents | We use geometric Landau analysis to determine the singularity structure of four-point, one-cycle negative geometries in $\mathcal{N}=4$ super-Yang-Mills theory, which represent certain contributions to the logarithm of the four-point amplitude or equivalently the normalized quadrangular Wilson loop with a Lagrangian insertion. By analyzing the relevant Landau diagrams recursively, we prove that this quantity has singularities only at $z=-1,0$ and $\infty$ to all loop orders. This represents a first step towards obtaining a non-perturbative resummation for this quantity at next-to-leading order in the expansion over cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22683 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Landau Analysis of One-Cycle Negative Geometries Paranjape, Shruti Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia Weng, He-Chen High Energy Physics - Theory We use geometric Landau analysis to determine the singularity structure of four-point, one-cycle negative geometries in $\mathcal{N}=4$ super-Yang-Mills theory, which represent certain contributions to the logarithm of the four-point amplitude or equivalently the normalized quadrangular Wilson loop with a Lagrangian insertion. By analyzing the relevant Landau diagrams recursively, we prove that this quantity has singularities only at $z=-1,0$ and $\infty$ to all loop orders. This represents a first step towards obtaining a non-perturbative resummation for this quantity at next-to-leading order in the expansion over cycles. |
| title | Landau Analysis of One-Cycle Negative Geometries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.22683 |