Double-real corrections at O(ααs) to single gauge boson production

We consider theO(ααs)corrections to single on-shell gauge boson production at hadron colliders. We con-centrate on the contribution of all the subprocesses where thegauge boson is accompanied by the emission of two addi-tional real partons and we evaluate the corresponding totalcross sections. The latter are divergent quantities, becauseof soft and collinear emissions, and are expressed as Lau-rent series in the dimensional regularization parameter. Thetotal cross sections are evaluated by means of reverse uni-tarity, i.e. expressing the phase-space integrals in terms oftwo-loop forward box integrals with cuts on the final-stateparticles. The results are reduced to a combination of masterintegrals, which eventually are evaluated in terms of general-ized polylogarithms. The presence of internal massive linesin the Feynman diagrams, due to the exchange of electroweakgauge bosons, causes the appearance of 14 master integralswhich were not previously known in the literature and havebeen evaluated via differential equations.