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 -dependent contributions.
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