SecDec

SecDec: A general program for sector decomposition. We present a program for the numerical evaluation of multi-dimensional polynomial parameter integrals. Singularities regulated by dimensional regularisation are extracted using iterated sector decomposition. The program evaluates the coefficients of a Laurent series in the regularisation parameter. It can be applied to multi-loop integrals in Euclidean space as well as other parametric integrals, e.g. phase space integrals.


References in zbMATH (referenced in 32 articles , 1 standard article )

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  1. Aguilera-Verdugo, J. Jesús; Hernández-Pinto, Roger J.; Rodrigo, Germán; Sborlini, German F. R.; Torres Bobadilla, William J.: Causal representation of multi-loop Feynman integrands within the loop-tree duality (2021)
  2. Duhr, Claude; Tancredi, Lorenzo: Algorithms and tools for iterated Eisenstein integrals (2020)
  3. Bern, Zvi; Cheung, Clifford; Roiban, Radu; Shen, Chia-Hsien; Solon, Mikhail P.; Zeng, Mao: Black hole binary dynamics from the double copy and effective theory (2019)
  4. Boels, Rutger H.; Huber, Tobias; Yang, Gang: The Sudakov form factor at four loops in maximal super Yang-Mills theory (2018)
  5. Borowka, Sophia; Gehrmann, Thomas; Hulme, Daniel: Systematic approximation of multi-scale Feynman integrals (2018)
  6. Gehrmann, T.; Henn, J. M.; Lo Presti, N. A.: Pentagon functions for massless planar scattering amplitudes (2018)
  7. Bonetti, Marco; Melnikov, Kirill; Tancredi, Lorenzo: Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter (2017)
  8. Bruns, Winfried; Sieg, Richard; Söger, Christof: Normaliz 2013--2016 (2017)
  9. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  10. Li, Hai Tao; Wang, Jian: Next-to-next-to-leading order (N)-jettiness soft function for one massive colored particle production at hadron colliders (2017)
  11. Primo, Amedeo; Tancredi, Lorenzo: Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017)
  12. S. Borowka, G. Heinrich, S. Jahn, S.P. Jones, M. Kerner, J. Schlenk, T. Zirke: pySecDec: a toolbox for the numerical evaluation of multi-scale integrals (2017) arXiv
  13. Badger, Simon; Mogull, Gustav; Peraro, Tiziano: Local integrands for two-loop all-plus Yang-Mills amplitudes (2016)
  14. Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang: Master integrals for the four-loop Sudakov form factor (2016)
  15. Bonocore, Domenico; Laenen, Eric; Rietkerk, Robbert: Unitarity methods for Mellin moments of Drell-Yan cross sections (2016)
  16. Ievgen Dubovyk, Janusz Gluza, Tord Riemann, Johann Usovitsch: Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions (2016) arXiv
  17. Remiddi, Ettore; Tancredi, Lorenzo: Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral (2016)
  18. Smirnov, A. V.: FIESTA4: optimized Feynman integral calculations with GPU support (2016)
  19. Badger, Simon; Mogull, Gustav; Ochirov, Alexander; O’Connell, Donal: A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory (2015)
  20. Borowka, S.: Calculation of multi-scale, multi-loop integrals using \textttSecDec3 (2015)

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