CutTools

CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes. We present a program that implements the OPP reduction method to extract the coefficients of the one-loop scalar integrals from a user defined (sub)-amplitude or Feynman Diagram, as well as the rational terms coming from the 4-dimensional part of the numerator. The rational pieces coming from the epsilon-dimensional part of the numerator are treated as an external input, and can be computed with the help of dedicated tree-level like Feynman rules. Possible numerical instabilities are dealt with the help of arbitrary precision routines, that activate only when needed.


References in zbMATH (referenced in 93 articles , 1 standard article )

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  1. Badger, Simon; Brønnum-Hansen, Christian; Hartanto, Heribertus Bayu; Peraro, Tiziano: Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case (2019)
  2. Böhm, Janko; Georgoudis, Alessandro; Larsen, Kasper J.; Schönemann, Hans; Zhang, Yang: Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections (2018)
  3. Bern, Zvi; Enciso, Michael; Parra-Martinez, Julio; Zeng, Mao: Manifesting enhanced cancellations in supergravity: integrands versus integrals (2017)
  4. Bosma, Jorrit; Sogaard, Mads; Zhang, Yang: Maximal cuts in arbitrary dimension (2017)
  5. Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav: Prescriptive unitarity (2017)
  6. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  7. Ochirov, Alexander; Page, Ben: Full colour for loop amplitudes in Yang-Mills theory (2017)
  8. Ochirov, Alexander; Tourkine, Piotr; Vanhove, Pierre: One-loop monodromy relations on single cuts (2017)
  9. Zeng, Mao: Differential equations on unitarity cut surfaces (2017)
  10. Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang: Azurite: An algebraic geometry based package for finding bases of loop integrals (2016) arXiv
  11. Badger, Simon; Mogull, Gustav; Peraro, Tiziano: Local integrands for two-loop all-plus Yang-Mills amplitudes (2016)
  12. Chen, Gang; Liu, Junyu; Xie, Ruofei; Zhang, Hao; Zhou, Yehao: Syzygies probing scattering amplitudes (2016)
  13. Hahn, Thomas: Computer algebra in high-energy physics (invited talk) (2016)
  14. Hirschi, Valentin; Peraro, Tiziano: Tensor integrand reduction via Laurent expansion (2016)
  15. Johansson, Henrik; Ochirov, Alexander: Color-kinematics duality for QCD amplitudes (2016)
  16. Mastrolia, Pierpaolo; Peraro, Tiziano; Primo, Amedeo: Adaptive integrand decomposition in parallel and orthogonal space (2016)
  17. Peraro, Tiziano: Scattering amplitudes over finite fields and multivariate functional reconstruction (2016)
  18. Badger, Simon; Mogull, Gustav; Ochirov, Alexander; O’Connell, Donal: A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory (2015)
  19. Bailey, David H.; Borwein, Jonathan M.: High-precision arithmetic in mathematical physics (2015)
  20. Bloch, Spencer; Vanhove, Pierre: The elliptic dilogarithm for the sunset graph (2015)

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