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RESEARCH PRODUCT

The kite integral to all orders in terms of elliptic polylogarithms

Stefan WeinzierlChristian BognerLuise AdamsArmin Schweitzer

subject

High Energy Physics - TheoryPure mathematics010308 nuclear & particles physicsIterative methodDifferential equationNumerical analysisLaurent seriesOrder (ring theory)FOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)01 natural sciencesHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Kite0103 physical sciencesBoundary value problem010306 general physicsSeries expansionMathematical PhysicsMathematics

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.

yearjournalcountryeditionlanguage
2016-12-01
10.1063/1.4969060http://arxiv.org/abs/1607.01571