Integrand-level reduction of loop amplitudes by computational algebraic geometry methods

@article{Zhang2012IntegrandlevelRO,
  title={Integrand-level reduction of loop amplitudes by computational algebraic geometry methods},
  author={Yang Zhang},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-24}
}
  • Yang Zhang
  • Published 2012
  • Physics
  • Journal of High Energy Physics
  • A bstractWe present an algorithm for the integrand-level reduction of multi-loop amplitudes of renormalizable field theories, based on computational algebraic geometry. This algorithm uses (1) the Gröbner basis method to determine the basis for integrand-level reduction, (2) the primary decomposition of an ideal to classify all inequivalent solutions of unitarity cuts. The resulting basis and cut solutions can be used to reconstruct the integrand from unitarity cuts, via polynomial fitting… CONTINUE READING

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