Pith. sign in

REVIEW 1 cited by

An analytic solution for the equal-mass banana graph

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 1907.03787 v1 pith:YEN6M64L submitted 2019-07-08 hep-th hep-ph

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

We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence subgroup as for the two-loop equal-mass sunrise graph. We also show how to write the results in terms of elliptic polylogarithms evaluated at rational points.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. 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