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arXiv · 2201.11636

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

Zhi-Feng Liu·Yan-Qing Ma
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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.

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Zhi-Feng Liu, Yan-Qing Ma. 2022-01-27. Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow. https://doi.org/10.1103/physrevd.105.074003

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