HyperFORM: a FORM package for parametric integration with hyperlogarithms

Abstract We present an implementation of algorithms for the symbolic integration of hyperlogarithms multiplied by rational functions in the computer algebra system . This implementation encompasses cases where hyperlogarithms have rational letters or a rational argument. It complements the previous implementation, , in by Erik Panzer, utilizing the advantages of in the efficient handling of large symbolic expressions. Among a wide range of applications, this approach enables the computation of many Feynman integrals.

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Publication Details

Journal
The European Physical Journal C
Published
2026-06-19
DOI
https://doi.org/10.1140/epjc/s10052-026-15588-1
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00

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article

HyperFORM: a FORM package for parametric integration with hyperlogarithms

S. Moch, Oliver Schnetz, Adam Kardos
The European Physical Journal C
Polynomial and algebraic computation
article

HyperFORM: a FORM package for parametric integration with hyperlogarithms

S. Moch, Oliver Schnetz, Adam Kardos
article en

Abstract

Abstract We present an implementation of algorithms for the symbolic integration of hyperlogarithms multiplied by rational functions in the computer algebra system . This implementation encompasses cases where hyperlogarithms have rational letters or a rational argument. It complements the previous implementation, , in by Erik Panzer, utilizing the advantages of in the efficient handling of large symbolic expressions. Among a wide range of applications, this approach enables the computation of many Feynman integrals.

The European Physical Journal CVol. 86(6)
Eötvös Loránd University (HU), University of Debrecen (HU), Universität Hamburg (DE)
Deutsche Forschungsgemeinschaft, Debreceni Egyetem, Brookhaven National Laboratory
Openalex Percentile: Top 97%
Polynomial and algebraic computation
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