Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

Abstract We show that almost all Feynman integrals as well as their coefficients in a Laurent series in dimensional regularization can be written in terms of Horn hypergeometric functions. By applying the results of Gelfand-Kapranov-Zelevinsky (GKZ) we derive a formula for a class of hypergeometric...

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Bibliographic Details
Main Author: René Pascal Klausen
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2020)121