English

Reclassifying Feynman integrals as special functions

High Energy Physics - Phenomenology 2024-04-02 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2311.12262,
  title  = {Reclassifying Feynman integrals as special functions},
  author = {Zhi-Feng Liu and Yan-Qing Ma and Chen-Yu Wang},
  journal= {arXiv preprint arXiv:2311.12262},
  year   = {2024}
}

Comments

4 pages, 1 figure, published version

R2 v1 2026-06-28T13:26:50.560Z