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 …

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 exploit the recently described property of cluster adjacency for scattering
amplitudes in planar\(\mathcal {N}= 4\) super Yang-Mills theory to construct the symbol of the …

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 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 …

A bstract We show that scattering amplitudes in planar\(\mathcal {N}= 4\) Super Yang-Mills in
multi-Regge kinematics can naturally be expressed in terms of single-valued iterated …

Motivated by the cluster structure of two-loop scattering amplitudes in= 4 Yang-Mills theory
we define cluster polylogarithm functions. We find that all such functions of weight four are …

We propose an all-loop expression for scattering amplitudes in planar N= 4 super Yang-
Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations …

A bstract We present an all-loop dispersion integral, well-defined to arbitrary logarithmic
accuracy, describing the multi-Regge limit of the 2→ 5 amplitude in planar\(\mathcal {N}= 4\) …