Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals

@article{Lee2008GroupSO,
  title={Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals},
  author={R. N. Lee},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2008},
  pages={031-031}
}
  • R. N. Lee
  • Published 2008
  • Physics
  • Journal of High Energy Physics
The excessiveness of integration-by-part (IBP) identities is discussed. The Lie-algebraic structure of the IBP identities is used to reduce the number of the IBP equations to be considered. It is shown that Lorentz-invariance (LI) identities do not bring any information additional to that contained in the IBP identities, and therefore, can be discarded. 
Integral reduction via algebraic curves
Two-loop integral reduction from elliptic and hyperelliptic curves
Cuts from residues: the one-loop case
Algorithmic transformation of multi-loop Feynman integrals to a canonical basis
The Number of Master Integrals is Finite
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