Geometry and causality for efficient multiloop representations
Multi-loop scattering amplitudes constitute a serious bottleneck in current high-energy physics computations. Obtaining new integrand level representations with smooth behaviour is crucial for solving this issue, and surpassing the precision frontier. In this talk, we describe a new technology to re...
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| Format: | Article |
| Language: | English |
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SciPost
2022-06-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.7.047 |
| _version_ | 1811241455696478208 |
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| author | German F. R. Sborlini |
| author_facet | German F. R. Sborlini |
| author_sort | German F. R. Sborlini |
| collection | DOAJ |
| description | Multi-loop scattering amplitudes constitute a serious bottleneck in current high-energy physics computations. Obtaining new integrand level representations with smooth behaviour is crucial for solving this issue, and surpassing the precision frontier. In this talk, we describe a new technology to rewrite multi-loop Feynman integrands in such a way that non-physical singularities are avoided. The method is inspired by the Loop-Tree Duality (LTD) theorem, and uses geometrical concepts to derive the causal structure of any multi-loop multi-leg scattering amplitude. This representation makes the integrand much more stable, allowing faster numerical simulations, and opens the path for novel re-interpretations of higher-order corrections in QFT. |
| first_indexed | 2024-04-12T13:36:27Z |
| format | Article |
| id | doaj.art-4d36b3a48f2a40e9b8b6c60baff19069 |
| institution | Directory Open Access Journal |
| issn | 2666-4003 |
| language | English |
| last_indexed | 2024-04-12T13:36:27Z |
| publishDate | 2022-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Proceedings |
| spelling | doaj.art-4d36b3a48f2a40e9b8b6c60baff190692022-12-22T03:30:59ZengSciPostSciPost Physics Proceedings2666-40032022-06-01704710.21468/SciPostPhysProc.7.047Geometry and causality for efficient multiloop representationsGerman F. R. SborliniMulti-loop scattering amplitudes constitute a serious bottleneck in current high-energy physics computations. Obtaining new integrand level representations with smooth behaviour is crucial for solving this issue, and surpassing the precision frontier. In this talk, we describe a new technology to rewrite multi-loop Feynman integrands in such a way that non-physical singularities are avoided. The method is inspired by the Loop-Tree Duality (LTD) theorem, and uses geometrical concepts to derive the causal structure of any multi-loop multi-leg scattering amplitude. This representation makes the integrand much more stable, allowing faster numerical simulations, and opens the path for novel re-interpretations of higher-order corrections in QFT.https://scipost.org/SciPostPhysProc.7.047 |
| spellingShingle | German F. R. Sborlini Geometry and causality for efficient multiloop representations SciPost Physics Proceedings |
| title | Geometry and causality for efficient multiloop representations |
| title_full | Geometry and causality for efficient multiloop representations |
| title_fullStr | Geometry and causality for efficient multiloop representations |
| title_full_unstemmed | Geometry and causality for efficient multiloop representations |
| title_short | Geometry and causality for efficient multiloop representations |
| title_sort | geometry and causality for efficient multiloop representations |
| url | https://scipost.org/SciPostPhysProc.7.047 |
| work_keys_str_mv | AT germanfrsborlini geometryandcausalityforefficientmultilooprepresentations |