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000475974 0247_ $$2arXiv$$aarXiv:2203.13016
000475974 0247_ $$2datacite_doi$$a10.3204/PUBDB-2022-01551
000475974 037__ $$aPUBDB-2022-01551
000475974 041__ $$aEnglish
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000475974 088__ $$2arXiv$$aarXiv:2203.13016
000475974 1001_ $$0P:(DE-H253)PIP1032690$$aPapathanasiou, Georgios$$b0$$eCorresponding author
000475974 245__ $$aThe SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
000475974 260__ $$c2022
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000475974 500__ $$a55 pages, see also the overview article
000475974 520__ $$aOne 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.
000475974 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0
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000475974 650_7 $$2INSPIRE$$aalgebra, cluster
000475974 650_7 $$2INSPIRE$$agauge field theory, Yang-Mills
000475974 650_7 $$2INSPIRE$$abootstrap
000475974 650_7 $$2INSPIRE$$ascattering amplitude
000475974 650_7 $$2INSPIRE$$aFeynman graph
000475974 650_7 $$2INSPIRE$$aanalytic properties
000475974 650_7 $$2INSPIRE$$akinematics
000475974 650_7 $$2INSPIRE$$astructure
000475974 650_7 $$2INSPIRE$$afield theory
000475974 650_7 $$2INSPIRE$$aform factor
000475974 650_7 $$2INSPIRE$$asupersymmetry
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000475974 9141_ $$y2022
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