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Fun with higher-loop Feynman diagrams

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arxiv 1604.01262 v1 pith:2CIFWZHJ submitted 2016-04-05 hep-ph

classification hep-ph
keywords feynmanintegralsachievedalgorithmicarisearoundclassclassification
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We review recent progress that we have achieved in evaluating the class of fully massive vacuum integrals at five loops. After discussing topics that arise in classification, evaluation and algorithmic codification of this specific set of Feynman integrals, we present some selected new results for their expansions around $4-2\varepsilon$ dimensions.

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  1. Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

    hep-th 2025-07 conditional novelty 7.0 of 10

    First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.

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