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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

Tool reference. 83% of classified Pith citations use this work as a method, library, or software dependency, not as a substantive claim.

14 Pith papers citing it
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abstract

We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when their arguments are rational functions. These algorithms are implemented in Maple and we discuss various applications. In particular, many Feynman integrals can be computed by this method.

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Landau's Leviathans

hep-th · 2026-06-28 · unverdicted · novelty 7.0

New algorithm identifies complete Landau singularities of Feynman integrals via Euler characteristic drops over finite fields, applied to non-planar two-loop six-point and massive three-loop graphs.

All-loop four-quark Bethe-Salpeter kernel

hep-ph · 2026-05-06 · unverdicted · novelty 7.0

The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.

Pseudo-Evanescent Feynman Integrals from Local Subtraction

hep-th · 2026-05-04 · conditional · novelty 7.0

Local subtraction reduces pseudo-evanescent Feynman integrals to products of one-loop integrals or one-fold integrals, with the finite part of the two-loop all-plus five-point amplitude arising solely from ultraviolet regions after infrared cancellations.

Fano and Reflexive Polytopes from Feynman Integrals

hep-th · 2025-12-11 · unverdicted · novelty 6.0

Quasi-finite Feynman integrals produce sparse Fano and reflexive polytopes that encode degenerate Calabi-Yau varieties and link to del Pezzo surfaces, K3 surfaces, and Calabi-Yau threefolds.

Finite Massless Pentaboxes

hep-ph · 2026-06-08 · unverdicted · novelty 5.0

Characterizes numerators yielding finite or evanescent massless pentabox integrals, gives compact generators via momentum basis and Gram determinants, and evaluates lowest-rank cases in polylogarithms and pentagon functions.

SubTropica

hep-th · 2026-04-22 · unverdicted · novelty 5.0

SubTropica is a software package that automates symbolic integration of linearly-reducible Euler integrals via tropical subtraction, supported by HyperIntica and an AI-driven Feynman integral database.

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