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From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions

Dorey, Patrick; Polvara, Davide

From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions Thumbnail


Authors

Davide Polvara



Abstract

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams [1]. Using this method on the ADE series of Toda models, we computed the double- and single-pole coefficients of the Laurent expansion of the S-matrix around a pole of arbitrary even order, finding agreement with the bootstrapped results. Here we generalise the cut method explained in [1] to multiple loops and use it to simplify large networks of singular diagrams. We observe that only a small number of cut diagrams survive and contribute to the expected bootstrapped result, while most of them cancel each other out through a mechanism inherited from the tree-level integrability of these models. The simplification mechanism between cut diagrams inside networks is reminiscent of Gauss’s theorem in the space of Feynman diagrams.

Journal Article Type Article
Acceptance Date Oct 6, 2023
Online Publication Date Oct 30, 2023
Publication Date 2023-10
Deposit Date Nov 10, 2023
Publicly Available Date Nov 10, 2023
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2023
Issue 10
Article Number 177
DOI https://doi.org/10.1007/jhep10%282023%29177
Keywords Field Theories in Lower Dimensions, Scattering Amplitudes, Integrable Field Theories, Higher Spin Symmetry
Public URL https://durham-repository.worktribe.com/output/1883681

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