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 …

The analytic structure of scattering amplitudes is restricted by Steinmann relations, which
enforce the vanishing of certain discontinuities of discontinuities. We show that these …

A bstract We extend the hexagon function bootstrap to the next-to-maximally-helicity-
violating (NMHV) configuration for six-point scattering in planar\(\mathcal {N}\)= 4 super …

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 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 …

A bstract We present the four-loop remainder function for six-gluon scattering with maximal
helicity violation in planar\(\mathcal {N}\)= 4 super-Yang-Mills theory, as an analytic function …

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 …

A bstract We study tropical Grassmanians Tr (k, n) in relation to cluster algebras, and assess
their applicability to n-particle amplitudes for n= 7, 8. In\(\mathcal {N}\)= 4 super Yang-Mills …

A bstract We further exploit the relation between tropical Grassmannians and Gr (4, n)
cluster algebras in order to make and refine predictions for the singularities of scattering …

A bstract We consider light-like Wilson loops with hexagonal geometry in the planar limit
of\(\mathcal {N}\)= 4 Super-Yang-Mills theory. Within the Operator-Product-Expansion …