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Amplitudes and correlators to ten loops using simple, graphical bootstraps (2016)
Journal Article
Bourjaily, J. L., Heslop, P. V., & Tran, V. (2016). Amplitudes and correlators to ten loops using simple, graphical bootstraps. Journal of High Energy Physics, 2016(11), Article 125. https://doi.org/10.1007/jhep11%282016%29125

We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove powerful... Read More about Amplitudes and correlators to ten loops using simple, graphical bootstraps.

All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM (2016)
Journal Article
Chicherin, D., Drummond, J., Heslop, P., & Sokatchev, E. (2016). All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM. Journal of High Energy Physics, 2016(08), Article 053. https://doi.org/10.1007/jhep08%282016%29053

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure.... Read More about All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM.

On-shell diagrams for N = 8 supergravity amplitudes (2016)
Journal Article
Heslop, P., & Lipstein, A. E. (2016). On-shell diagrams for N = 8 supergravity amplitudes. Journal of High Energy Physics, 2016(06), Article 069. https://doi.org/10.1007/jhep06%282016%29069

We define recursion relations for N = 8 supergravity amplitudes using a generalization of the on-shell diagrams developed for planar N = 4 super-Yang-Mills. Although the recursion relations generically give rise to non-planar on-shell diagrams, we sh... Read More about On-shell diagrams for N = 8 supergravity amplitudes.

Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory (2016)
Journal Article
Bourjaily, J. L., Heslop, P., & Tran, V. (2016). Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory. Physical Review Letters, 116(19), Article 191602. https://doi.org/10.1103/physrevlett.116.191602

We use the soft-collinear bootstrap to construct the 8-loop integrand for the 4-point amplitude and 4-stress-tensor correlation function in planar maximally supersymmetric Yang-Mills theory. Both have a unique representation in terms of planar, confo... Read More about Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory.

Bootstrapping correlation functions in N = 4 SYM (2016)
Journal Article
Chicherin, D., Doobary, R., Eden, B., Heslop, P., Korchemsky, G. P., & Sokatchev, E. (2016). Bootstrapping correlation functions in N = 4 SYM. Journal of High Energy Physics, 2016(3), Article 031. https://doi.org/10.1007/jhep03%282016%29031

We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N=4N=4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the correlation func... Read More about Bootstrapping correlation functions in N = 4 SYM.