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Hypergeometric structures in Feynman integrals

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Bibliographic Details
Main Authors: J., Blümlein, M., Saragnese, C., Schneider
Format: Book
Language:English
Published: Springer 2023
Subjects:
QCD
terms of special functions and constants
Online Access:https://link.springer.com/article/10.1007/s10472-023-09831-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7711
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spelling oai:localhost:PNK-77112023-04-10T03:06:08Z Hypergeometric structures in Feynman integrals J., Blümlein M., Saragnese C., Schneider QCD terms of special functions and constants CC BY For the precision calculations in perturbative Quantum Chromodynamics (QCD) gigantic expressions (several GB in size) in terms of highly complicated divergent multi-loop Feynman integrals have to be calculated analytically to compact expressions in terms of special functions and constants. In this article we derive new symbolic tools to gain large-scale computer understanding in QCD. Here we exploit the fact that hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topologies. Using integration-by-parts relations, associated master or scalar integrals have to be calculated. For this purpose it appears useful to devise an automated method which recognizes the respective (partial) differential equations related to the corresponding higher transcendental functions. 2023-04-10T03:06:08Z 2023-04-10T03:06:08Z 2023 Book https://link.springer.com/article/10.1007/s10472-023-09831-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7711 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic QCD
terms of special functions and constants
spellingShingle QCD
terms of special functions and constants
J., Blümlein
M., Saragnese
C., Schneider
Hypergeometric structures in Feynman integrals
description CC BY
format Book
author J., Blümlein
M., Saragnese
C., Schneider
author_facet J., Blümlein
M., Saragnese
C., Schneider
author_sort J., Blümlein
title Hypergeometric structures in Feynman integrals
title_short Hypergeometric structures in Feynman integrals
title_full Hypergeometric structures in Feynman integrals
title_fullStr Hypergeometric structures in Feynman integrals
title_full_unstemmed Hypergeometric structures in Feynman integrals
title_sort hypergeometric structures in feynman integrals
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10472-023-09831-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7711
_version_ 1762818480607854592
score 8.891695

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