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

Dorey, Patrick; Polvara, Davide

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: Oct 26, 2022
• 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