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From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients

Dorey, Patrick; Polvara, Davide

From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients Thumbnail


Authors

Davide Polvara



Abstract

Various features of the even order poles appearing in the S-matrices of simply-laced affine Toda field theories are analysed in some detail. In particular, the coefficients of first- and second-order singularities appearing in the Laurent expansion of the S-matrix around a general 2Nth order pole are derived in a universal way using perturbation theory at one loop. We show how to cut loop diagrams contributing to the pole into particular products of tree-level graphs that depend on the on-shell geometry of the loop; in this way, we recover the coefficients of the Laurent expansion around the pole exploiting tree-level integrability properties of the theory. The analysis is independent of the particular simply-laced theory considered, and all the results agree with those obtained in the conjectured bootstrapped S-matrices of the ADE series of theories.

Citation

Dorey, P., & Polvara, D. (2022). From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients. Journal of High Energy Physics, 2022(9), Article 220. https://doi.org/10.1007/jhep09%282022%29220

Journal Article Type Article
Acceptance Date Sep 15, 2022
Online Publication Date Sep 26, 2022
Publication Date 2022-09
Deposit Date Oct 26, 2022
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 9
Article Number 220
DOI https://doi.org/10.1007/jhep09%282022%29220
Related Public URLs https://arxiv.org/abs/2206.09368

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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