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HPL, a Mathematica implementation of the harmonic polylogarithms

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arxiv hep-ph/0507152 v2 pith:MBZOWK3V submitted 2005-07-13 hep-ph

classification hep-ph
keywords implementationharmonicmathematicauseradaptalgebraallowinganalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper, we present an implementation of the harmonic polylogarithm of Remiddi and Vermaseren 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    hep-th 2025-08 conditional novelty 8.0 of 10

    Planar superconformal Yang-Mills determinant observables are shown to equal generalized Dyck path partition functions through a universal iterated integral expansion.

  2. Multiple Clausen values and deformed Ap\'ery-like series

    math.NT 2026-07 accept novelty 7.0 of 10

    Deformed Apéry-like series are shown to belong to cyclotomic multiple zeta value spaces, with explicit evaluations in terms of multiple Clausen values and zeta values.

  3. $AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes

    hep-th 2025-08 conditional novelty 7.0 of 10

    The first curvature correction to the AdS3 x S3 Virasoro-Shapiro amplitude for four arbitrary KK modes is obtained as a single-valued polylogarithm worldsheet integral, yielding new anomalous dimensions and OPE data f...

  4. PDF evolution in alternative factorisation schemes

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.

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