Hypexp

HypExp 2, Expanding hypergeometric functions about half-integer parameters. In this article, we describe a new algorithm for the expansion of hypergeometric functions about half-integer parameters. The implementation of this algorithm for certain classes of hypergeometric functions in the already existing Mathematica package HypExp is described. Examples of applications in Feynman diagrams with up to four loops are given. (Source: http://cpc.cs.qub.ac.uk/summaries/)


References in zbMATH (referenced in 44 articles , 1 standard article )

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  1. Bosma, Jorrit; Sogaard, Mads; Zhang, Yang: Maximal cuts in arbitrary dimension (2017)
  2. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  3. 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)
  4. Michelangelo Preti: WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory (2017) arXiv
  5. Muselli, Claudio; Forte, Stefano; Ridolfi, Giovanni: Combined threshold and transverse momentum resummation for inclusive observables (2017)
  6. 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
  7. Diab, Kenan; Fei, Lin; Giombi, Simone; Klebanov, Igor R.; Tarnopolsky, Grigory: On $C_J$ and $C_T$ in the Gross-Neveu and $O(N)$ models (2016)
  8. Bogner, Christian; Brown, Francis: Feynman integrals and iterated integrals on moduli spaces of curves of genus zero (2015)
  9. Abreu, Samuel; Britto, Ruth; Duhr, Claude; Gardi, Einan: From multiple unitarity cuts to the coproduct of Feynman integrals (2014)
  10. Czakon, M.; Fiedler, P.: The soft function for color octet production at threshold (2014)
  11. Dittmaier, Stefan; Huss, Alexander; Schwinn, Christian: Mixed QCD-electroweak $\mathcalO(\alpha_\mathrms \alpha)$ corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections (2014)
  12. Boels, Rutger H.: On the field theory expansion of superstring five point amplitudes (2013)
  13. Duhr, Claude; Gehrmann, Thomas: The two-loop soft current in dimensional regularization (2013)
  14. Huang, Zhi-Wei; Liu, Jueping: NumExp: numerical epsilon expansion of hypergeometric functions (2013)
  15. Bierenbaum, Isabella; Czakon, Michał; Mitov, Alexander: The singular behavior of one-loop massive QCD amplitudes with one external soft gluon (2012)
  16. Garousi, Mohammad R.: Tree-level S-matrix elements from S-duality (2012)
  17. Kauth, Matthias R.; Kühn, Johann H.; Marquard, Peter; Steinhauser, Matthias: Gluino pair production at the LHC: The threshold (2012)
  18. Penin, Alexander A.; Piclum, Jan H.: Threshold production of unstable top (2012)
  19. Bernreuther, Werner; Bogner, Christian; Dekkers, Oliver: The real radiation antenna function for $ S \to Q\barQq\barq $ at NNLO QCD (2011)
  20. Bork, L. V.; Kazakov, D. I.; Vartanov, G. S.: On form factors in $\mathcalN = 4$ SYM (2011)

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