Preprint

PUBDB-2022-01160

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals

Blümlein, J. (Corresponding author)DESY* ; Schneider, C. (Corresponding author)Extern*

2022

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-01160

Report No.: DESY-22-032; DO-TH 22/07; RISC Report number 22--03; SAGEX-22-05; arXiv:2203.13015

Abstract: 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.

Keyword(s): computer, algebra ; Feynman graph ; scattering amplitude ; higher-order ; field theory ; effective field theory

Note: 40 pages, see also the overview article

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. SAGEX - Scattering Amplitudes: from Geometry to Experiment (764850) (764850)

Experiment(s):

1. LHC: Other
2. Any Light Particle Search

Appears in the scientific report 2022

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Blümlein, J. (Corresponding author)DESY* ; Schneider, C.
Chapter 4: Multi-loop Feynman integral
Journal of physics / A 55(44), 443005 (2022) [10.1088/1751-8121/ac8086]2022     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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