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 61 articles )

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  1. Amdeberhan, Tewodros; Moll, Victor Hugo; Straub, Armin; Vignat, Christophe: A triple integral analog of a multiple zeta value (2021)
  2. Bork, L. V.; Iakhibbaev, R. M.; Muzhichkov, N. B.; Sozinov, E. S.: Amplitudes in fishnet theories in diverse dimensions and box ladder diagrams (2021)
  3. Caron-Huot, Simon; Sandor, Joshua: Conformal Regge theory at finite boost (2021)
  4. Henn, Johannes M.; Korchemsky, Gregory P.; Mistlberger, Bernhard: The full four-loop cusp anomalous dimension in (\mathcalN= 4) super Yang-Mills and QCD (2020)
  5. Gromov, Nikolay; Kazakov, Vladimir; Korchemsky, Gregory: Exact correlation functions in conformal fishnet theory (2019)
  6. Henn, J. M.; Mistlberger, B.: Four-graviton scattering to three loops in ( \mathcalN=8 ) supergravity (2019)
  7. Korchemsky, G. P.: Exact scattering amplitudes in conformal fishnet theory (2019)
  8. Bianchi, Marco S.; Griguolo, Luca; Mauri, Andrea; Penati, Silvia; Seminara, Domenico: A matrix model for the latitude Wilson loop in ABJM theory (2018)
  9. Bianchi, Marco S.; Leoni, Matias: A (QQ \toQQ) planar double box in canonical form (2018)
  10. Brüser, Robin; Caron-Huot, Simon; Henn, Johannes M.: Subleading Regge limit from a soft anomalous dimension (2018)
  11. Caron-Huot, Simon; Herranen, Matti: High-energy evolution to three loops (2018)
  12. Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.: Solving differential equations for Feynman integrals by expansions near singular points (2018)
  13. Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.: Evaluating `elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points (2018)
  14. Dixon, Lance J.; von Hippel, Matt; McLeod, Andrew J.; Trnka, Jaroslav: Multi-loop positivity of the planar (\mathcalN= 4 ) SYM six-point amplitude (2017)
  15. Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias: Massive three-loop form factor in the planar limit (2017)
  16. Mamroud, Ohad; Torrents, Genís: RG stability of integrable fishnet models (2017)
  17. Mario Prausa: epsilon: A tool to find a canonical basis of master integrals (2017) arXiv
  18. Basso, Benjamin; Goncalves, Vasco; Komatsu, Shota; Vieira, Pedro: Gluing hexagons at three loops (2016)
  19. Bogner, Christian: MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero (2016)
  20. Bonocore, Domenico; Laenen, Eric; Rietkerk, Robbert: Unitarity methods for Mellin moments of Drell-Yan cross sections (2016)

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