Massless on-shell box integral with arbitrary powers of propagators

@article{Tarasov2018MasslessOB,
  title={Massless on-shell box integral with arbitrary powers of propagators},
  author={O. V. Tarasov},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2018},
  volume={51}
}
  • O. Tarasov
  • Published 21 September 2017
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
The massless one-loop box integral with arbitrary indices in arbitrary space-time dimension d is shown to reduce to a sum over three generalized hypergeometric functions. This result follows from the solution to the third order differential equation of hypergeometric type. The Gröbner basis technique for integrals with noninteger powers of propagators is used to derive the differential equation. A short description of our algorithm for finding the Gröbner basis is given and a complete set of… 

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