Speaker
Description
In this talk, I will present results for planar families of Feynman integrals for a four-point three-loop kinematics, with two non-degenerate external masses. These integrals are necessary to compute the three-loop amplitude for the production of two vector bosons, which are relevant for N3LO QCD corrections to this process. After grouping the integrals into nine integral families, we compute them through differential equations. To this end, for all integral families we construct a basis of pure master integrals, satisfying canonical differential equations. Compared to the two-loop case, this step is more complicated not only because of the larger number of master integrals, but also by the appearance of new square roots in the alphabet. We evaluate the master integrals by solving the differential equations using generalised power series expansions.