TY  - JOUR
AU  - Papathanasiou, Georgios
TI  - The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
JO  - Journal of physics / A
VL  - 55
IS  - 44
SN  - 1751-8113
CY  - Bristol
PB  - IOP Publ.
M1  - PUBDB-2022-03250
M1  - DESY-22-055
M1  - arXiv:2203.13016
SP  - 443006
PY  - 2022
N1  - 55 pages, see also the overview article
AB  - 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 <i>N</i>=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.
KW  - algebra: cluster (INSPIRE)
KW  - gauge field theory: Yang-Mills (INSPIRE)
KW  - bootstrap (INSPIRE)
KW  - scattering amplitude (INSPIRE)
KW  - Feynman graph (INSPIRE)
KW  - analytic properties (INSPIRE)
KW  - kinematics (INSPIRE)
KW  - perturbation (INSPIRE)
KW  - form factor (INSPIRE)
KW  - supersymmetry: 4 (INSPIRE)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000900760400001
DO  - DOI:10.1088/1751-8121/ac7e8e
UR  - https://bib-pubdb1.desy.de/record/479859
ER  -