TVID 2 computes all master integrals for planar three-loop self-energy diagrams with two closed fermion loops using at most two-dimensional numerical integrations.
On the evaluation of three--loop scalar integrals in the massive case
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abstract
I describe a method to calculate a class of three-loop selfenergy diagrams for arbitrary internal masses and external momentum. This method combines analytical results and numerical integration, and is suitable for implementation in a computer program to produce fast and accurate results. For the class of Feynman diagrams considered in this paper this method leads to a two-fold integral which needs to be evaluated numerically. Results are given for a range of masses and external momentum.
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TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses
TVID 2 computes all master integrals for planar three-loop self-energy diagrams with two closed fermion loops using at most two-dimensional numerical integrations.