On a procedure to derive \(\epsilon\)-factorised differential equations beyond polylogarithms
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Publication:6055804
DOI10.1007/JHEP07(2023)206arXiv2305.14090MaRDI QIDQ6055804
Author name not available (Why is that?)
Publication date: 29 September 2023
Published in: (Search for Journal in Brave)
Abstract: In this manuscript, we elaborate on a procedure to derive -factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special functions beyond multiple polylogarithms. We demonstrate the applicability of our approach to diverse classes of problems, by working out -factorised differential equations for single- and multi-scale problems of increasing complexity. To start we are reconsidering the well-studied equal-mass two-loop sunrise case, and move then to study other elliptic two-, three- and four-point problems depending on multiple different scales. Finally, we showcase how the same approach allows us to obtain -factorised differential equations also for Feynman integrals that involve geometries beyond a single elliptic curve.
Full work available at URL: https://arxiv.org/abs/2305.14090
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