Elliptic Feynman integrals and pure functions

@article{Broedel2018EllipticFI,
  title={Elliptic Feynman integrals and pure functions},
  author={Johannes Broedel and C. Duhr and F. Dulat and B. Penante and L. Tancredi},
  journal={Journal of High Energy Physics},
  year={2018},
  volume={2019},
  pages={1-49}
}
  • Johannes Broedel, C. Duhr, +2 authors L. Tancredi
  • Published 2018
  • Physics
  • Journal of High Energy Physics
  • A bstractWe propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-loop Feynman integrals with up to three external legs and express them in terms of our functions. We observe that in all cases they evaluate to pure combinations of elliptic multiple polylogarithms of uniform weight. This is the first time that a notion of… CONTINUE READING
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