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.

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  1. Feng, Bo; Li, Tingfei; Li, Xiaodi: Analytic tadpole coefficients of one-loop integrals (2021)
  2. Frellesvig, Hjalte; Gasparotto, Federico; Laporta, Stefano; Mandal, Manoj K.; Mastrolia, Pierpaolo; Mattiazzi, Luca; Mizera, Sebastian: Decomposition of Feynman integrals by multivariate intersection numbers (2021)
  3. Lyubovitskij, Valery E.; Wunder, Fabian; Zhevlakov, Alexey S.: New ideas for handling of loop and angular integrals in D-dimensions in QCD (2021)
  4. Bourjaily, Jacob L.; Herrmann, Enrico; Langer, Cameron; Trnka, Jaroslav: Building bases of loop integrands (2020)
  5. Capatti, Zeno; Hirschi, Valentin; Kermanschah, Dario; Pelloni, Andrea; Ruijl, Ben: Numerical loop-tree duality: contour deformation and subtraction (2020)
  6. Craig, Nathaniel; Jiang, Minyuan; Li, Ying-Ying; Sutherland, Dave: Loops and trees in generic EFTs (2020)
  7. Denner, Ansgar; Dittmaier, Stefan: Electroweak radiative corrections for collider physics (2020)
  8. Abreu, S.; Dormans, J.; Febres Cordero, F.; Ita, H.; Page, B.; Sotnikov, V.: Analytic form of the planar two-loop five-parton scattering amplitudes in QCD (2019)
  9. Badger, Simon; Brønnum-Hansen, Christian; Hartanto, Heribertus Bayu; Peraro, Tiziano: Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case (2019)
  10. Bourjaily, Jacob L.; Dulat, Falko; Panzer, Erik: Manifestly dual-conformal loop integration (2019)
  11. 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)
  12. Bern, Zvi; Enciso, Michael; Parra-Martinez, Julio; Zeng, Mao: Manifesting enhanced cancellations in supergravity: integrands versus integrals (2017)
  13. Bosma, Jorrit; Sogaard, Mads; Zhang, Yang: Maximal cuts in arbitrary dimension (2017)
  14. Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav: Prescriptive unitarity (2017)
  15. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  16. Ochirov, Alexander; Page, Ben: Full colour for loop amplitudes in Yang-Mills theory (2017)
  17. Ochirov, Alexander; Tourkine, Piotr; Vanhove, Pierre: One-loop monodromy relations on single cuts (2017)
  18. Zeng, Mao: Differential equations on unitarity cut surfaces (2017)
  19. Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang: Azurite: An algebraic geometry based package for finding bases of loop integrals (2016) arXiv
  20. Badger, Simon; Mogull, Gustav; Peraro, Tiziano: Local integrands for two-loop all-plus Yang-Mills amplitudes (2016)

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