%0 Journal Article
%A Blümlein, Johannes
%A Schneider, Carsten
%T Chapter 4: Multi-loop Feynman integral
%J Journal of physics / A
%V 55
%N 44
%@ 1751-8113
%C Bristol
%I IOP Publ.
%M PUBDB-2022-07554
%M arXiv:2203.13015
%M SAGEX-22-05
%M DESY-22-032
%M DO-TH 22/07
%M RISC Report number 22-03
%P 443005
%D 2022
%Z 40 pages, see the overview article arXiv:2203.13011
%X The analytic integration and simplification of multi-loop Feynman integrals to special functions and constants plays an important role to perform higher order perturbative calculations in the standard model of elementary particles. In this survey article the most recent and relevant computer algebra and special function algorithms are presented that are currently used or that may play an important role to perform such challenging precision calculations in the future. They are discussed in the context of analytic zero, single and double scale calculations in the quantum field theories of the standard model and effective field theories, also with classical applications. These calculations play a central role in the analysis of precision measurements at present and future colliders to obtain ultimate information for fundamental physics.
%K computer, algebra (INSPIRE)
%K computer: algebra (INSPIRE)
%K Feynman graph (INSPIRE)
%K scattering amplitude (INSPIRE)
%K higher-order (INSPIRE)
%K field theory (INSPIRE)
%K effective field theory (INSPIRE)
%K multi-loop Feynman integrals (autogen)
%K computer algebra (autogen)
%K special functions (autogen)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000899851900001
%R 10.1088/1751-8121/ac8086
%U https://bib-pubdb1.desy.de/record/490214