The kite integral to all orders in terms of elliptic polylogarithms
Authors
Luise Adams, Christian Bogner, Armin Schweitzer, Stefan Weinzierl
Abstract
We show that the Laurent series of the two-loop kite integral in 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.