A bstract We present for the first time fully analytic results for multi-loop equal-mass ice cone
graphs in two dimensions. By analysing the leading singularities of these integrals, we find …

A bstract In this manuscript, we elaborate on a procedure to derive ϵ-factorised differential
equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special …

The high-precision description of black hole scattering in classical general relativity using
the post-Minkowskian (PM) expansion requires the evaluation of single-scale Feynman …

Certain Feynman integrals are associated to Calabi-Yau geometries. We demonstrate how
these integrals can be computed with the method of differential equations. The four-loop …

A bstract We describe a systematic approach to cast the differential equation for the l-loop
equal mass banana integral into an ε-factorised form. With the known boundary value at a …

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 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 In recent years, differential equations have become the method of choice to
compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their …

We study geometries occurring in Feynman integrals that contribute to the scattering of black
holes in the post-Minkowskian (PM) expansion. These geometries become relevant to …

We present an algorithm for determining the minimal order differential equations associated
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …