English

HyperFORM -- a FORM package for parametric integration with hyperlogarithms

High Energy Physics - Phenomenology 2026-07-01 v1

Abstract

HyperFORM brings the parametric integration of hyperlogarithms, weighted by rational prefactors, into the symbolic-manipulation system FORM. It ports the capabilities of Erik Panzer's Maple package HyperInt, capitalizing on FORM's speed with bulky algebraic input and on its ability to spread a single calculation across many processor cores. We keep the description of the method brief and concentrate instead on how the package is organized and driven: a fully self-contained program for the three-loop zigzag period serves as a worked illustration, and timing measurements for zigzags through six loops gauge its present reach. HyperFORM is released openly and applies to a broad class of problems, the evaluation of Feynman integrals prominently among them.

Cite

@article{arxiv.2607.01163,
  title  = {HyperFORM -- a FORM package for parametric integration with hyperlogarithms},
  author = {Adam Kardos and Sven-Olaf Moch and Oliver Schnetz},
  journal= {arXiv preprint arXiv:2607.01163},
  year   = {2026}
}

Comments

9 pages, 4 figures, 1 table; contribution to the proceedings of the Loops and Legs in Quantum Field Theory conference (LL2026), April 12-17, 2026, Bayreuth, Germany