Journal Article

PUBDB-2022-03250

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond

Papathanasiou, G. (Corresponding author)DESY*

2022
IOP Publ. Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8121/ac7e8e  doi:10.3204/PUBDB-2022-03250

Report No.: DESY-22-055; arXiv:2203.13016

Abstract: One of the main challenges in obtaining predictions for collider experiments from perturbative quantum field theory, is the direct evaluation of the Feynman integrals it gives rise to. In this chapter, we review an alternative bootstrap method that instead efficiently constructs physical quantities by exploiting their analytic structure. We present in detail the setting where this method has been originally developed, six- and seven-particle amplitudes in the large-color limit of $\mathcal{N}=4$ super Yang-Mills theory. We discuss the class of functions these amplitudes belong to, and the strong clues mathematical objects known as cluster algebras provide for rendering this function space both finite and of relatively small dimension at each loop order. We then describe how to construct this function space, as well as how to locate the amplitude inside of it with the help of kinematic limits, and apply the general procedure to a concrete example: The determination of the two-loop correction to the first nontrivial six-particle amplitude. We also provide an overview of other areas where the realm of the bootstrap paradigm is expanding, including other scattering amplitudes, form factors and Feynman integrals, and point out the analytic properties of potentially wider applicability that it has revealed.

Keyword(s): algebra: cluster ; gauge field theory: Yang-Mills ; bootstrap ; scattering amplitude ; Feynman graph ; analytic properties ; kinematics ; perturbation ; form factor ; supersymmetry: 4

Note: 55 pages, see also the overview article

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. SAGEX - Scattering Amplitudes: from Geometry to Experiment (764850) (764850)
3. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; National-Konsortium ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Papathanasiou, G. (Corresponding author)DESY*
The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
[10.3204/PUBDB-2022-01551]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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