Speaker
Description
I will present the computation of the three-loop QCD scattering amplitudes for the production of two massive vector bosons in the quark annihilation channel, in the generalized leading-color approximation. These amplitudes constitute a key ingredient for the virtual contribution to the N3LO QCD corrections for electroweak gauge-boson pair production at hadron colliders and represent an important step towards precise predictions in view of the high-luminosity phase of the LHC. The amplitudes are expressed in terms of a basis of special functions multiplied by kinematic rational coefficients, which are reconstructed analytically using finite-field techniques, making use of projectors method and compact IBP systems. The special functions are then evaluated by solving systems of differential equations.