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arXiv · 1802.05020

The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case

Luise Adams·Stefan Weinzierl
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Abstract

Feynman integrals are easily solved if their system of differential equations is in $\varepsilon$-form. In this letter we show by the explicit example of the kite integral family that an $\varepsilon$-form can even be achieved, if the Feynman integrals do not evaluate to multiple polylogarithms. The $\varepsilon$-form is obtained by a (non-algebraic) change of basis for the master integrals.

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Luise Adams, Stefan Weinzierl. 2018-02-14. The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case. https://doi.org/10.1016/j.physletb.2018.04.002

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