Framework for a novel mixed analytical/numerical approach for the computation of two-loop $N$-point Feynman diagrams - Archive ouverte HAL
Article Dans Une Revue PTEP Année : 2020

Framework for a novel mixed analytical/numerical approach for the computation of two-loop $N$-point Feynman diagrams

Résumé

A framework to represent and compute two-loop |$N$|-point Feynman diagrams as double-integrals is discussed. The integrands are “generalised one-loop type” multi-point functions multiplied by simple weighting factors. The final integrations over these two variables are to be performed numerically, whereas the ingredients involved in the integrands, in particular the “generalised one-loop type” functions, are computed analytically. The idea is illustrated on a few examples of scalar three- and four-point functions.

Dates et versions

hal-02148262 , version 1 (05-06-2019)

Identifiants

Citer

J. Ph. Guillet, E. Pilon, Y. Shimizu, M.S. Zidi. Framework for a novel mixed analytical/numerical approach for the computation of two-loop $N$-point Feynman diagrams. PTEP, 2020, 2020 (4), pp.043B01. ⟨10.1093/ptep/ptaa020⟩. ⟨hal-02148262⟩
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