Six-Gluon amplitudes in planar = 4 super-Yang-Mills theory at six and seven loops

S Caron-Huot, LJ Dixon, F Dulat, M Von Hippel… - Journal of high energy …, 2019 - Springer
A bstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV
(NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven …

A periodic table of effective field theories

C Cheung, K Kampf, J Novotny, CH Shen… - Journal of High Energy …, 2017 - Springer
A bstract We systematically explore the space of scalar effective field theories (EFTs)
consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT …

Heptagons from the Steinmann cluster bootstrap

LJ Dixon, J Drummond, T Harrington… - Journal of High Energy …, 2017 - Springer
A bstract We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann
relations, which require certain double discontinuities of any amplitude to vanish. These …

The cosmic Galois group and extended Steinmann relations for planar = 4 SYM amplitudes

S Caron-Huot, LJ Dixon, F Dulat, M Von Hippel… - Journal of High Energy …, 2019 - Springer
A bstract We describe the minimal space of polylogarithmic functions that is required to
express the six-particle amplitude in planar\(\mathcal {N}\)= 4 super-Yang-Mills theory …

Bootstrap** a stress-tensor form factor through eight loops

LJ Dixon, Ö Gürdoğan, AJ McLeod… - Journal of High Energy …, 2022 - Springer
A bstract We bootstrap the three-point form factor of the chiral stress-tensor multiplet in
planar\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory at six, seven, and eight loops …

The four-loop six-gluon NMHV ratio function

LJ Dixon, M von Hippel, AJ McLeod - Journal of High Energy Physics, 2016 - Springer
A bstract We use the hexagon function bootstrap to compute the ratio function which
characterizes the next-to-maximally-helicity-violating (NMHV) six-point amplitude in …

A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon

JM Drummond, G Papathanasiou… - Journal of High Energy …, 2015 - Springer
A bstract Seven-particle scattering amplitudes in planar super-Yang-Mills theory are
believed to belong to a special class of generalised polylogarithm functions called heptagon …

Folding amplitudes into form factors: an antipodal duality

LJ Dixon, Ö Gürdoğan, AJ McLeod, M Wilhelm - Physical Review Letters, 2022 - APS
We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in
planar N= 4 super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity …

The Steinmann cluster bootstrap for N= 4 super Yang-Mills amplitudes

S Caron-Huot, LJ Dixon, JM Drummond, F Dulat… - arxiv preprint arxiv …, 2020 - arxiv.org
We review the bootstrap method for constructing six-and seven-particle amplitudes in planar
$\mathcal {N}= 4$ super Yang-Mills theory, by exploiting their analytic structure. We focus on …

Antipodal self-duality for a four-particle form factor

LJ Dixon, Ö Gürdoğan, YT Liu, AJ McLeod… - Physical Review Letters, 2023 - APS
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the
chiral part of the stress-tensor supermultiplet in planar N= 4 super-Yang-Mills theory at two …