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

Luise Adams; Stefan Weinzierl

doi:10.1016/j.physletb.2018.04.002

paper

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

arXiv:1802.05020 · doi:10.1016/j.physletb.2018.04.002

Abstract

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

15 pages, version to be published

The ε-form of the differential equations for Feynman integrals in the elliptic case

Abstract

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