Speaker
Description
We present results for planar families of Feynman integrals for a four-point three-loop kinematics, with two non-degenerate external masses. These families are relevant for N3LO QCD corrections to the production of two vector bosons with different masses. We construct canonical basis of master integrals for the families and we employ the method of differential equation to compute them. Compared to the two-loop case, the picture 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 obtain a semi-numerical solution employing the generalised series expansion method as implemented in the package DiffExp. We discuss strategies to optimise the solution, such as expressing the integrals in terms of minimal basis of special functions, constructed using the iterated integral representation of the master integrals and the symbol technology.
