English

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

High Energy Physics - Phenomenology 2018-04-11 v2 High Energy Physics - Theory

Abstract

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

Keywords

Cite

@article{arxiv.1802.05020,
  title  = {The $\varepsilon$-form of the differential equations for Feynman integrals in the elliptic case},
  author = {Luise Adams and Stefan Weinzierl},
  journal= {arXiv preprint arXiv:1802.05020},
  year   = {2018}
}

Comments

15 pages, version to be published