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 37 articles )

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  1. Caron-Huot, Simon; Herranen, Matti: High-energy evolution to three loops (2018)
  2. Dixon, Lance J.; von Hippel, Matt; McLeod, Andrew J.; Trnka, Jaroslav: Multi-loop positivity of the planar $\mathcalN = 4 $ SYM six-point amplitude (2017)
  3. Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias: Massive three-loop form factor in the planar limit (2017)
  4. Mamroud, Ohad; Torrents, Genís: RG stability of integrable fishnet models (2017)
  5. Mario Prausa: epsilon: A tool to find a canonical basis of master integrals (2017) arXiv
  6. Basso, Benjamin; Goncalves, Vasco; Komatsu, Shota; Vieira, Pedro: Gluing hexagons at three loops (2016)
  7. Bogner, Christian: MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero (2016)
  8. Lee, Roman N.; Mingulov, Kirill T.: Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method (2016)
  9. Belitsky, A.V.: Fermionic pentagons and NMHV hexagon (2015)
  10. Bogner, Christian; Brown, Francis: Feynman integrals and iterated integrals on moduli spaces of curves of genus zero (2015)
  11. Panzer, Erik: Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals (2015)
  12. Argeri, Mario; Di Vita, Stefano; Mastrolia, Pierpaolo; Mirabella, Edoardo; Schlenk, Johannes; Schubert, Ulrich; Tancredi, Lorenzo: Magnus and Dyson series for master integrals (2014)
  13. Buehler, Stephan; Duhr, Claude: CHAPLIN -- complex harmonic polylogarithms in Fortran (2014)
  14. Alday, Luis F.; Henn, Johannes M.; Sikorowski, Jakub: Higher loop mixed correlators in $ \mathcalN = 4$ SYM (2013)
  15. Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A.: Leading singularities and off-shell conformal integrals (2013)
  16. Drummond, J.M.: Generalised ladders and single-valued polylogs (2013)
  17. Huang, Zhi-Wei; Liu, Jueping: NumExp: numerical epsilon expansion of hypergeometric functions (2013)
  18. Papathanasiou, Georgios: Hexagon Wilson loop OPE and harmonic polylogarithms (2013)
  19. Correa, Diego; Henn, Johannes; Maldacena, Juan; Sever, Amit: The cusp anomalous dimension at three loops and beyond (2012)
  20. 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)

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