Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Understand

We present the calculation of the master integrals needed for the two-loop QCDxEW corrections to $ q + \bar{q} \to l^- + l^+$ and $ q + \bar{q}' \to l^- + \overline{\nu} \, , $ for massless external particles.

• We treat W and Z bosons as degenerate in mass.
• We identify three types of diagrams, according to the presence of massive internal lines: the no-mass type, the one-mass type, and the two-mass type, where all massive propagators, when occurring, contain the same mass value.
• We find a basis of 49 master integrals and evaluate them with the method of the differential equations.