HyperFORM -- a FORM package for parametric integration with hyperlogarithms

TL;DR

HyperFORM is a FORM package that efficiently performs symbolic parametric integration of hyperlogarithms with rational functions, aiding in complex calculations like Feynman integrals.

Contribution

It introduces a new implementation of hyperlogarithm integration in FORM, extending previous work and improving efficiency for large symbolic expressions.

Findings

Enables computation of many Feynman integrals.

Handles hyperlogarithms with rational letters or arguments.

Complementary to HyperInt in MAPLE.

Abstract

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