دورية أكاديمية
Polytope symmetries of Feynman integrals
| العنوان: | Polytope symmetries of Feynman integrals |
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| المؤلفون: | de la Cruz, Leonardo |
| المساهمون: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
| المصدر: | Phys.Lett.B ; https://hal.science/hal-04557248Test ; Phys.Lett.B, 2024, 854, pp.138744. ⟨10.1016/j.physletb.2024.138744⟩ |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2024 |
| مصطلحات موضوعية: | Feynman graph, loop integral: 3, geometry, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] |
| الوصف: | International audience ; Feynman integrals appropriately generalized are $\mathsf A$-hypergeometric functions. Among the properties of $\mathsf A$-hypergeometric functions are symmetries associated with the Newton polytope. In ordinary hypergeometric functions these symmetries lead to linear transformations. Combining tools of $\mathsf A$-hypergeometric systems and the computation of symmetries of polytopes, we consider the associated symmetries of Feynman integrals in the Lee-Pomeransky representation. We compute the symmetries of $\mathtt n$-gon integrals up to $\mathtt n=8$, massive banana integrals up to 5-loop, and on-shell ladders up to 3-loop. We apply these symmetries to study finite on-shell ladder integrals up to 3-loop. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/2404.03564; hal-04557248; https://hal.science/hal-04557248Test; ARXIV: 2404.03564; INSPIRE: 2774089 |
| DOI: | 10.1016/j.physletb.2024.138744 |
| الإتاحة: | https://doi.org/10.1016/j.physletb.2024.138744Test https://hal.science/hal-04557248Test |
| رقم الانضمام: | edsbas.12138357 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.physletb.2024.138744 |
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