Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow

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.

arXiv commentWe found a typographical error in our previous code, and thus numerical results in Eq. (30) and the ancillary file are updated

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• Reclassifying Feynman integrals as special functions