Mixed EW-QCD two-loop corrections to Drell-Yan production
Matthias Heller (Johannes Gutenberg-Universität)

The Drell-Yan production of charged lepton pairs is one of the key processes measured at hadron colliders. The QCD corrections to the cross-section are known to order \(\alpha_s^2\) and electroweak corrections are known to order \(\alpha\). The next important step for a better theoretical understanding is the complete calculation of the mixed QCD-EW corrections of order \(\alpha \alpha_s\). In this talk, I report on the first calculation of the virtual two-loop corrections of order \(\alpha \alpha_s\) to the cross-section. The calculation is carried out analytically using tensor reduction, IBP relations and the method of differential equations. We validate a previous calculation of the subset of mixed QCD-QED corrections and show how the jet and soft functions of that reference can be used to subtract the infrared divergencies of the complete mixed QCD-electroweak virtual corrections. In the talk, I will focus on the calculation of the master integrals, which involve algebraic letters in the differential equation.