Reclassifying Feynman integrals as special functions

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.

4 pages, 1 figure, published version

References in corpus (1)

• Classical Polylogarithms for Amplitudes and Wilson Loops

Cited by in corpus (3)

• Electroweak corrections to double Higgs production at the LHC
• Towards Systematic Evaluation of de Sitter Correlators via Generalized Integration-By-Parts Relations
• Multivariate hypergeometric solutions of cosmological (dS) correlators by $\text{d}\log$-form differential equations