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 …

A bstract We show that all Feynman integrals in two Euclidean dimensions with massless
propagators and arbitrary non-integer propagator powers can be expressed in terms of …

A bstract We consider the 5-mass kite family of self-energy Feynman integrals and present a
systematic approach for constructing an ε-form basis, along with its differential equation …

A wealth of information on multiloop string amplitudes is encoded in fermionic two-point
functions known as Szegö kernels. Here we show that cyclic products of any number of …

We use the loop-by-loop Baikov representation to investigate the geometries in Feynman
integrals contributing to the classical dynamics of a black-hole two-body system in the post …

A bstract We present analytic techniques for parametric integrations of massive two-loop four-
point Feynman integrals at high energies, and their implementation in the toolbox AsyInt. In …

A bstract We analyse the family of Calabi-Yau varieties attached to four-point fishnet
integrals in two dimensions. We find that the Picard-Fuchs operators for fishnet integrals are …

We generalise the geometric analysis of square fishnet integrals in two dimensions to the
case of hexagonal fishnets with three-point vertices. Our results support the conjecture that …

We compute the photon self-energy to three loops in Quantum Electrodynamics. The method
of differential equations for Feynman integrals and a complete $\epsilon $-factorization of …