English

Glue-and-Cut at Five Loops

High Energy Physics - Phenomenology 2021-10-04 v1 High Energy Physics - Theory

Abstract

We compute epsilon-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π\pi-dependent contributions.

Keywords

Cite

@article{arxiv.2104.08272,
  title  = {Glue-and-Cut at Five Loops},
  author = {Alessandro Georgoudis and Vasco Gonçalves and Erik Panzer and Raul Pereira and Alexander V. Smirnov and Vladimir A. Smirnov},
  journal= {arXiv preprint arXiv:2104.08272},
  year   = {2021}
}

Comments

20 pages, 8 figures

R2 v1 2026-06-24T01:15:22.553Z