Integration-by-parts identities in FDR

@article{Pittau2014IntegrationbypartsII,
  title={Integration-by-parts identities in FDR},
  author={R. Pittau},
  journal={arXiv: High Energy Physics - Theory},
  year={2014}
}
  • R. Pittau
  • Published 2014
  • Chemistry, Physics
  • arXiv: High Energy Physics - Theory
  • Four-dimensional renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations. Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet (UV) counterterms. In this paper I prove that integration-by-parts (IBP) identities can be used to find relations among multi-loop FDR integrals. Since algorithms based on IBP are widely applied beyond one loop, this result represents a decisive step forward towards the use of… CONTINUE READING
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