2019/12/05 by Stefan Weinzierl, Weinzierl, Stefan
Mathematics · #Advanced Mathematical Identities #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1912.02578
openalex publication_date 2019/12/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
The \ε-form of a system of differential equations for Feynman\nintegrals has led to tremendeous progress in our abilities to compute Feynman\nintegrals, as long as they fall into the class of multiple polylogarithms. It\nis therefore of current interest, if these methods extend beyond the case of\nmultiple polylogarithms. In this talk I discuss Feynman integrals, which are\nassociated to elliptic curves and their differential equations. I show for\nnon-trivial examples how the system of differential equations can be brought\ninto an \ε-form. Single-scale and multi-scale cases are discussed.\n