Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
High Energy Physics - Phenomenology
2023-01-30 v3
Abstract
We proposed a recipe to systematically calculate Feynman integrals containing linear propagators using the auxiliary mass flow method. The key of the recipe is to introduce a quadratic term for each linear propagator and then using differential equations to get rid of their effects. As an application, we calculated all master integrals of vacuum integrals containing a gauge link up to four loops, and we checked the results by nontrivial dimensional recurrence relations.
Cite
@article{arxiv.2201.11636,
title = {Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow},
author = {Zhi-Feng Liu and Yan-Qing Ma},
journal= {arXiv preprint arXiv:2201.11636},
year = {2023}
}
Comments
We found a typographical error in our previous code, and thus numerical results in Eq. (30) and the ancillary file are updated