Revealing Hidden Regions in Wide-Angle and Forward Scattering
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910540251529216 |
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| author | Gardi, Einan Herzog, Franz Jones, Stephen Ma, Yao |
| author_facet | Gardi, Einan Herzog, Franz Jones, Stephen Ma, Yao |
| contents | We discuss a class of Feynman Integrals containing hidden regions that are not straightforwardly identified using the geometric, or Newton polytope, approach to the method of regions. Using Landau singularity analysis and existing analytic results, we study the appearance of such regions in wide-angle and forward scattering and discuss how they can be exposed in both the momentum and parametric representations. We demonstrate that in the strict on-shell limit such integrals contain Landau singularities that prevent their direct numerical evaluation in parameter space and describe how they can be re-parameterised and dissected to circumvent this problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17158 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revealing Hidden Regions in Wide-Angle and Forward Scattering Gardi, Einan Herzog, Franz Jones, Stephen Ma, Yao High Energy Physics - Theory High Energy Physics - Phenomenology We discuss a class of Feynman Integrals containing hidden regions that are not straightforwardly identified using the geometric, or Newton polytope, approach to the method of regions. Using Landau singularity analysis and existing analytic results, we study the appearance of such regions in wide-angle and forward scattering and discuss how they can be exposed in both the momentum and parametric representations. We demonstrate that in the strict on-shell limit such integrals contain Landau singularities that prevent their direct numerical evaluation in parameter space and describe how they can be re-parameterised and dissected to circumvent this problem. |
| title | Revealing Hidden Regions in Wide-Angle and Forward Scattering |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.17158 |