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

Dorey, Patrick and Polvara, Davide (2022) 'From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients.', Journal of high energy physics., 2022 (9). p. 220.


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.

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Publisher 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.
Date accepted:15 September 2022
Date deposited:26 October 2022
Date of first online publication:26 September 2022
Date first made open access:26 October 2022

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