We review the Hopf algebra of the multiple polylogarithms and the symbol map, as well as
the construction of single valued multiple polylogarithms and discuss an algorithm for finding …

Feynman diagrams constitute one of the essential ingredients for making precision
predictions for collider experiments. Yet, while the simplest Feynman diagrams can be …

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 bstract We propose a variant of elliptic multiple polylogarithms that have at most
logarithmic singularities in all variables and satisfy a differential equation without …

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 Seven-point amplitudes in planar\(\mathcal {N}\)= 4 super-Yang-Mills theory have
previously been constructed through four loops using the Steinmann cluster bootstrap, but …

A bstract We propose and explore the Regge limit for correlation functions of five local
primary operators in conformal field theories. After reviewing some features of Regge theory …

Precise predictions for collider observables require the computation of higher orders in
perturbation theory. This task usually involves the evaluation of complicated multiloop …