Extension of HPL to complex arguments
arXiv:hep-ph/0703052 · doi:10.1016/j.cpc.2011.11.015
Abstract
In this paper we describe the extension of the Mathematica package HPL to treat harmonic polylogarithms of complex arguments. The harmonic polylogarithms have been introduced by Remiddi and Vermaseren and have many applications in high energy particle physics.
42 pages, references added, the package can be downloaded at http://krone.physik.unizh.ch/~maitreda/HPL/
References in corpus (8)
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
- Two-loop QED corrections to Bhabha scattering
- Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
- Iterative Structure Within The Five-Particle Two-Loop Amplitude
- All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters
- Two-Parton Contribution to the Heavy-Quark Forward-Backward Asymmetry in NNLO QCD
- Two-parton contribution to the heavy-quark A_FB at NNLO QCD in e+e- collisions
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- Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
- Higgs boson production at the LHC: NNLO partonic cross sections through order and convolutions with splitting functions to NLO
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- Collider constraints on light pseudoscalars
- Gluon-fusion Higgs production in the Standard Model Effective Field Theory
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- Numerical Implementation of Harmonic Polylogarithms to Weight w = 8
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- Moments of heavy quark correlators with two masses: exact mass dependence to three loops
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