The kite integral to all orders in terms of elliptic polylogarithms

We show that the Laurent series of the two-loop kite integral in $D=4-2\varepsilon$ 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...

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Veröffentlicht in:	arXiv.org 2016-11
Hauptverfasser:	Adams, Luise, Bogner, Christian, Schweitzer, Armin, Weinzierl, Stefan
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Sprache:	eng
Schlagworte:	Differential equations Integrals Iterative methods Mathematics - Mathematical Physics Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Physics - Mathematical Physics Series expansion
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creator	Adams, Luise Bogner, Christian Schweitzer, Armin Weinzierl, Stefan
description	We show that the Laurent series of the two-loop kite integral in $D=4-2\varepsilon$ 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.
doi_str_mv	10.48550/arxiv.1607.01571
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subjects	Differential equations Integrals Iterative methods Mathematics - Mathematical Physics Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Physics - Mathematical Physics Series expansion
title	The kite integral to all orders in terms of elliptic polylogarithms
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