http://hdl.handle.net/20.500.12128/20335
Tytuł: | Toward three-loop Feynman massive diagram calculations |
Autor: | Dubovyk, Ievgen Usovitsch, Johann Grzanka, Krzysztof |
Słowa kluczowe: | Feynman multi-loop integrals; sector decomposition method; Mellin–Barnes method; integration-by-parts; differential equations |
Data wydania: | 2021 |
Źródło: | "Symmetry" (2021), Vol. 13, iss. 6, art. no. 975, s. 1-12 |
Abstrakt: | There are many methods of searching for traces of the so-called new physics in particle physics. One of them, and the main focus of this paper, is athe study of the Z-boson decay in e+e collisions. An improvement in the precision of calculations of the Standard Model (SM) electroweak pseudo-observables, such as scattering asymmetries, effective weak mixing angles, and decay widths, related to the Z-boson will meet severe experimental requirements at the planned e+e colliders and will increase the chance to detect non-standard effects in experimental analysis. To reach this goal, one has to calculate the next order of perturbative SM theory, namely three-loop Feynman integrals. We discuss the complexity of the problem, as well as the methods crucial for completing three-loop calculations. We show several numerical solutions for some three-loop Feynman integrals using sector decomposition, Mellin–Barnes (MB), and differential equation methods. |
URI: | http://hdl.handle.net/20.500.12128/20335 |
DOI: | 10.3390/sym13060975 |
ISSN: | 2073-8994 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Grzanka_Dubovyk_toward_three_loop.pdf | 613,79 kB | Adobe PDF | Przejrzyj / Otwórz |
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