An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
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Publication:6050525
DOI10.1007/JHEP08(2023)120arXiv2211.16357OpenAlexW4386067405MaRDI QIDQ6050525
Author name not available (Why is that?)
Publication date: 12 October 2023
Published in: (Search for Journal in Brave)
Abstract: In recent years, differential equations have become the method of choice to compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their solution in terms of special functions is straightforward. Recently, progress has been made in understanding the precise canonical form for Feynman integrals involving elliptic polylogarithms. In this article, we make use of an algorithmic approach that proves powerful to find canonical forms for these cases. To illustrate the method, we reproduce several known canonical forms from the literature and present examples where a canonical form is deduced for the first time. Together with this article, we also release an update for INITIAL, a publicly available Mathematica implementation of the algorithm.
Full work available at URL: https://arxiv.org/abs/2211.16357
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