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Differential equations and Feynman integrals

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arxiv 2102.07424 v2 pith:CG2DKLB5 submitted 2021-02-15 hep-ph

A.V. Kotikov This is my paper · ORCID
classification hep-ph
keywords differentialequationsfeynmanintegralscalculatingcoefficientsconsidereddiagram
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The role of differential equations in the process of calculating Feynman integrals is reviewed. An example of a diagram is given for which the method of differential equations was introduced, the properties of the inverse-mass-expansion coefficients are shown, and modern methods based on differential equations are considered.

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  1. Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables

    hep-th 2024-12 conditional novelty 7.0 of 10

    Yangian-invariant conformal Feynman integrals satisfy a general cross-ratio PDE system that for a class of graphs is exactly a GKZ hypergeometric system.

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