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 reformulate the heptagon cluster bootstrap to take advantage of the Steinmann
relations, which require certain double discontinuities of any amplitude to vanish. These …

We define the rigidity of a Feynman integral to be the smallest dimension over which it is
nonpolylogarithmic. We prove that massless Feynman integrals in four dimensions have a …

A bstract We bootstrap loop corrections to AdS 5 supergravity amplitudes by enforcing the
consistency of the known classical results with the operator product expansion of\(\mathcal …

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 …

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 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 …