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 19 articles , 1 standard article )

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  1. Bonetti, Marco; Melnikov, Kirill; Tancredi, Lorenzo: Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter (2017)
  2. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  3. Primo, Amedeo; Tancredi, Lorenzo: Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017)
  4. Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang: Master integrals for the four-loop Sudakov form factor (2016)
  5. Hahn, Thomas: Computer algebra in high-energy physics (invited talk) (2016)
  6. Remiddi, Ettore; Tancredi, Lorenzo: Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral (2016)
  7. Smirnov, A.V.: FIESTA4: optimized Feynman integral calculations with GPU support (2016)
  8. Borowka, S.: Calculation of multi-scale, multi-loop integrals using SecDec 3 (2015)
  9. Borowka, S.; Heinrich, G.; Jones, S.P.; Kerner, M.; Schlenk, J.; Zirke, T.: SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop (2015)
  10. Tancredi, Lorenzo: Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations (2015)
  11. Smirnov, A.V.: FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions (2014)
  12. Borowka, Sophia; Heinrich, Gudrun: Massive non-planar two-loop four-point integrals with SecDec 2.1 (2013)
  13. Huang, Zhi-Wei; Liu, Jueping: NumExp: numerical epsilon expansion of hypergeometric functions (2013)
  14. Gehrmann, Thomas; Tancredi, Lorenzo: Two-loop QCD helicity amplitudes for $q\overlineq \to W^\pm\gamma$ and $q\overlineq \to Z^0\gamma$ (2012)
  15. Gehrmann, T.; Jaquier, M.; Glover, E.W.N.; Koukoutsakis, A.: Two-loop QCD corrections to the helicity amplitudes for $H \to 3\;\textpartons$ (2012)
  16. Ridder, Aude Gehrmann-De; Glover, E.W.N.; Pires, Joao: Real-virtual corrections for gluon scattering at NNLO (2012)
  17. Carter, Jonathon; Heinrich, Gudrun: SecDec: A general program for sector decomposition (2011)
  18. Mastrolia, Pierpaolo; Ossola, Giovanni: On the integrand-reduction method for two-loop scattering amplitudes (2011)
  19. Monni, Pier Francesco; Gehrmann, Thomas; Luisoni, Gionata: Two-loop soft corrections and resummation of the thrust distribution in the dijet region (2011)