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arXiv · 2311.12262

Reclassifying Feynman integrals as special functions

Zhi-Feng Liu·Yan-Qing Ma·Chen-Yu Wang
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Abstract

Although Feynman integrals in general cannot be expressed as well-studied special functions, they can be calculated systematically and efficiently using the \texttt{AMFlow} method in combination with differential equations in the kinematic space. Therefore, it is constructive to define Feynman integrals as a new class of special functions (or transcedental numbers if there is no kinematic variable). Several crucial avenues for further exploration in this direction are outlined.

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Zhi-Feng Liu, Yan-Qing Ma, Chen-Yu Wang. 2023-11-21. Reclassifying Feynman integrals as special functions. https://doi.org/10.1016/j.scib.2024.02.007

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