دورية أكاديمية
An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
| العنوان: | An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals |
|---|---|
| المؤلفون: | Dlapa, Christoph, Henn, Johannes M., Wagner, Fabian J. |
| المصدر: | Journal of high energy physics 08(8), 120 (2023). doi:10.1007/JHEP08(2023)120 |
| بيانات النشر: | SISSA |
| سنة النشر: | 2023 |
| المجموعة: | DESY Publication Database (PUBDB) |
| مصطلحات موضوعية: | info:eu-repo/classification/ddc/530, mathematical methods, perturbation theory: higher-order, Feynman graph: higher-order, loop integral, differential equations |
| جغرافية الموضوع: | DE |
| الوصف: | In recent years, differential equations have become the method of choice to compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their solution in terms of special functions is straightforward. Recently, progress has been made in understanding the precise canonical form for Feynman integrals involving elliptic polylogarithms. In this article, we make use of an algorithmic approach that proves powerful to find canonical forms for these cases. To illustrate the method, we reproduce several known canonical forms from the literature and present examples where a canonical form is deduced for the first time. Together with this article, we also release an update for INITIAL, a publicly available Mathematica implementation of the algorithm. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/arXiv:2211.16357; info:eu-repo/semantics/altIdentifier/issn/1029-8479; info:eu-repo/semantics/altIdentifier/wos/WOS:001052857600005; info:eu-repo/semantics/altIdentifier/issn/1126-6708; info:eu-repo/semantics/altIdentifier/issn/1127-2236; https://bib-pubdb1.desy.de/record/589375Test; https://bib-pubdb1.desy.de/search?p=id:%22PUBDB-2023-05155%22Test |
| الإتاحة: | https://doi.org/10.1007/JHEP08Test(2023)120 https://doi.org/10.3204/PUBDB-2023-05155Test https://bib-pubdb1.desy.de/record/589375Test https://bib-pubdb1.desy.de/search?p=id:%22PUBDB-2023-05155%22Test |
| حقوق: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.11207A16 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |