On the reduction of generalized polylogarithms to $\text{Li}_n$ and $\text{Li}_{2,2}$ and on the evaluation thereof

Christopher Wever; Damiano Tommasini; Hjalte Frellesvig

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 1601.02649 v3 pith:ODC2HNFK submitted 2016-01-11 hep-ph cs.NAhep-thmath.NA

On the reduction of generalized polylogarithms to Li_n and Li_(2,2) and on the evaluation thereof

Hjalte Frellesvig , Damiano Tommasini , Christopher Wever This is my paper

classification hep-ph cs.NAhep-thmath.NA

keywords textevaluationgeneralizedpolylogarithmsresultsalgorithmsarbitrarycalculate

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, $\text{Li}_n$, and $\text{Li}_{2,2}$, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of $\text{Li}_n$ and $\text{Li}_{2,2}$, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in App. C.

discussion (0)

Forward citations

Cited by 1 Pith paper

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

ggxy: Fast and flexible NLO QCD corrections to gluon-initiated processes
hep-ph 2026-07 conditional novelty 5.0

The ggxy library implements NLO QCD corrections for gg→ZH and gg→ZZ with full top-quark mass dependence using high-energy and forward-limit expansions, validated against existing results and interfaced to POWHEG for p...