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

DOI10.1016/J.PHYSLETB.2018.04.002zbMATH Open1398.81097arXiv1802.05020OpenAlexW2785314994MaRDI QIDQ1800747

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Publication date: 24 October 2018

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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.

Full work available at URL: https://arxiv.org/abs/1802.05020

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