The kite integral to all orders in terms of elliptic polylogarithms

DOI10.1063/1.4969060zbMATH Open1353.81097arXiv1607.01571OpenAlexW2460869000MaRDI QIDQ2951757

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Publication date: 9 January 2017

Published in: (Search for Journal in Brave)

Abstract: We show that the Laurent series of the two-loop kite integral in $D=4-2varepsilon$ space-time dimensions can be expressed in each order of the series expansion in terms of elliptic generalisations of (multiple) polylogarithms. Using differential equations we present an iterative method to compute any desired order. As an example, we give the first three orders explicitly.

Full work available at URL: https://arxiv.org/abs/1607.01571

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