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 …

We initiate the study of cluster algebras in Feynman integrals in dimensional regularization.
We provide evidence that four-point Feynman integrals with one off-shell leg are described …

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 …

The maximal cut of the nonplanar crossed box diagram with all massive internal propagators
was long ago shown to encode a hyperelliptic curve of genus 3 in momentum space …

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 present a loop-by-loop method for computing the differential equations of
Feynman integrals using the recently developed dual form formalism. We give explicit …

A bstract We present several classes of constraints on the discontinuities of Feynman
integrals that go beyond the Steinmann relations. These constraints follow from a geometric …

A bstract It has recently been demonstrated that Feynman integrals relevant to a wide range
of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily …