Pith. sign in

REVIEW 5 cited by

Elliptic polylogarithms and Feynman parameter integrals

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1902.09971 v1 pith:UBIFER5B submitted 2019-02-26 hep-ph hep-th

Johannes Broedel , Claude Duhr , Falko Dulat , Brenda Penante , Lorenzo Tancredi This is my paper · ORCID
classification hep-phhep-th
keywords feynmanintegralspolylogarithmscalculationellipticexpressedmultipleparameter
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in terms of multiple polylogarithms. We show in detail how certain types of two- and three-point functions at two loops, which appear in the calculation of higher order corrections in QED, QCD and in the electroweak theory (EW), can naturally be expressed in terms of a recently introduced elliptic generalisation of multiple polylogarithms by direct integration over their Feynman parameter representation. Moreover, we show that in all examples that we considered a basis of pure Feynman integrals can be found.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

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

  1. The spectrum of Feynman-integral geometries at two loops

    hep-th 2025-12 unverdicted novelty 8.0 of 10

    Two-loop Feynman integrals involve Riemann spheres, elliptic curves, hyperelliptic curves of genus 2 and 3, K3 surfaces, and a rationalizable Del Pezzo surface of degree 2.

  2. Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.

  3. Differential Equations for Energy Correlators in Any Angle

    hep-ph 2025-06 conditional novelty 7.0 of 10

    A first systematic differential equation framework for any-angle energy correlators in N=4 SYM, with four-point master integrals that include non-polylogarithmic elliptic and hyperelliptic sectors.

  4. The $\mu$-extension of iterated integrals and nested sums

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The authors construct μ-extensions of iterated integrals and nested sums over multiple alphabets, showing that they map polynomially in μ into the original function space (except for square-root cases) while preservin...

  5. Electroweak double-box integrals for Moller scattering

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.

Pith tools