HPL

HPL, a Mathematica implementation of the harmonic polylogarithms. In this paper, we present an implementation of the harmonic polylogarithm of Remiddi and Vermaseren [E. Remiddi, J.A.M. Vermaseren, Int. J. Modern Phys. A 15 (2000) 725, hep-ph/9905237] for Mathematica. It contains an implementation of the product algebra, the derivative properties, series expansion and numerical evaluation. The analytic continuation has been treated carefully, allowing the user to keep the control over the definition of the sign of the imaginary parts. Many options enables the user to adapt the behavior of the package to his specific problem.


References in zbMATH (referenced in 28 articles )

Showing results 1 to 20 of 28.
Sorted by year (citations)

1 2 next

  1. Basso, Benjamin; Goncalves, Vasco; Komatsu, Shota; Vieira, Pedro: Gluing hexagons at three loops (2016)
  2. Belitsky, A.V.: Fermionic pentagons and NMHV hexagon (2015)
  3. Bogner, Christian; Brown, Francis: Feynman integrals and iterated integrals on moduli spaces of curves of genus zero (2015)
  4. Panzer, Erik: Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals (2015)
  5. Argeri, Mario; Di Vita, Stefano; Mastrolia, Pierpaolo; Mirabella, Edoardo; Schlenk, Johannes; Schubert, Ulrich; Tancredi, Lorenzo: Magnus and Dyson series for master integrals (2014)
  6. Alday, Luis F.; Henn, Johannes M.; Sikorowski, Jakub: Higher loop mixed correlators in $ \mathcalN = 4$ SYM (2013)
  7. Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A.: Leading singularities and off-shell conformal integrals (2013)
  8. Drummond, J.M.: Generalised ladders and single-valued polylogs (2013)
  9. Huang, Zhi-Wei; Liu, Jueping: NumExp: numerical epsilon expansion of hypergeometric functions (2013)
  10. Papathanasiou, Georgios: Hexagon Wilson loop OPE and harmonic polylogarithms (2013)
  11. Correa, Diego; Henn, Johannes; Maldacena, Juan; Sever, Amit: The cusp anomalous dimension at three loops and beyond (2012)
  12. Dixon, Lance J.; Drummond, James M.; Henn, Johannes M.: Analytic result for the two-loop six-point NMHV amplitude in $\mathcalN = 4$ super Yang-Mills theory (2012)
  13. Gehrmann, Thomas; Tancredi, Lorenzo: Two-loop QCD helicity amplitudes for $q\overlineq \to W^\pm\gamma$ and $q\overlineq \to Z^0\gamma$ (2012)
  14. Gehrmann, T.; Jaquier, M.; Glover, E.W.N.; Koukoutsakis, A.: Two-loop QCD corrections to the helicity amplitudes for $H \to 3\;\textpartons$ (2012)
  15. Velizhanin, V.N.: Three-loop anomalous dimension of the non-singlet transversity operator in QCD (2012)
  16. Bernreuther, Werner; Bogner, Christian; Dekkers, Oliver: The real radiation antenna function for $ S \to Q\barQq\barq $ at NNLO QCD (2011)
  17. Bonciani, R.; Ferroglia, A.; Gehrmann, T.; Von Manteuffel, A.; Studerus, C.: Two-loop leading color corrections to heavy-quark pair production in the gluon fusion channel (2011)
  18. Dixon, Lance J.; Drummond, James M.; Henn, Johannes M.: Bootstrapping the three-loop hexagon (2011)
  19. Lee, R.N.; Smirnov, V.A.: Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight (2011)
  20. Vaško, Petr; Novotný, Jiří: Two-loop QED radiative corrections to the decay $\pi^0 \to e^+e^-$: the virtual corrections and soft-photon bremsstrahlung (2011)

1 2 next