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On the evaluation of three--loop scalar integrals in the massive case

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arxiv hep-ph/9604333 v1 pith:UBVTE6W3 submitted 1996-04-16 hep-ph

classification hep-ph
keywords methodresultsclassdiagramsexternalmassesmomentumaccurate
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 1 Pith paper

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  1. TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses

    hep-ph 2019-08 conditional novelty 5.0 of 10

    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.

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