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The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case (1802.05020v2)
Published 14 Feb 2018 in hep-ph and hep-th
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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