Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra

@article{Ablinger2016CalculatingTL,
  title={Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra},
  author={Jakob Ablinger and Arnd Behring and Johannes Bl{\"u}mlein and Abilio De Freitas and A. von Manteuffel and Carsten Schneider},
  journal={ArXiv},
  year={2016},
  volume={abs/1509.08324}
}
  • Jakob Ablinger, Arnd Behring, +3 authors Carsten Schneider
  • Published 2016
  • Mathematics, Physics, Computer Science
  • ArXiv
  • Abstract Three loop ladder and V -topology diagrams contributing to the massive operator matrix element A Q g are calculated. The corresponding objects can all be expressed in terms of nested sums and recurrences depending on the Mellin variable N and the dimensional parameter e . Given these representations, the desired Laurent series expansions in e can be obtained with the help of our computer algebra toolbox. Here we rely on generalized hypergeometric functions and Mellin–Barnes… CONTINUE READING

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