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 24 articles , 1 standard article )

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  1. Boels, Rutger H.; Huber, Tobias; Yang, Gang: The Sudakov form factor at four loops in maximal super Yang-Mills theory (2018)
  2. Borowka, Sophia; Gehrmann, Thomas; Hulme, Daniel: Systematic approximation of multi-scale Feynman integrals (2018)
  3. Bonetti, Marco; Melnikov, Kirill; Tancredi, Lorenzo: Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter (2017)
  4. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  5. 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)
  6. Primo, Amedeo; Tancredi, Lorenzo: Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017)
  7. 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
  8. Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang: Master integrals for the four-loop Sudakov form factor (2016)
  9. Hahn, Thomas: Computer algebra in high-energy physics (invited talk) (2016)
  10. Remiddi, Ettore; Tancredi, Lorenzo: Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral (2016)
  11. Smirnov, A. V.: FIESTA4: optimized Feynman integral calculations with GPU support (2016)
  12. Borowka, S.: Calculation of multi-scale, multi-loop integrals using SecDec 3 (2015)
  13. 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)
  14. Tancredi, Lorenzo: Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations (2015)
  15. von Manteuffel, Andreas; Panzer, Erik; Schabinger, Robert M.: A quasi-finite basis for multi-loop Feynman integrals (2015)
  16. Smirnov, A. V.: FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions (2014)
  17. Borowka, Sophia; Heinrich, Gudrun: Massive non-planar two-loop four-point integrals with SecDec 2.1 (2013)
  18. Huang, Zhi-Wei; Liu, Jueping: NumExp: numerical epsilon expansion of hypergeometric functions (2013)
  19. Gehrmann, Thomas; Tancredi, Lorenzo: Two-loop QCD helicity amplitudes for $q\overlineq \to W^\pm\gamma$ and $q\overlineq \to Z^0\gamma$ (2012)
  20. Gehrmann, T.; Jaquier, M.; Glover, E. W. N.; Koukoutsakis, A.: Two-loop QCD corrections to the helicity amplitudes for $H \to 3\;\textpartons$ (2012)

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