  We present the calculation of the next-to-leading order QCD corrections to
electroweak p p -> e+ nu_e mu+ mu- jj and p p -> e- nubar_e mu+ mu- jj
production at the CERN LHC in the form of a fully flexible parton-level Monte
Carlo program. The QCD corrections to the total cross sections are modest,
changing the leading-order results by less than 10%. At the Born level, the
shape of kinematic distributions can depend significantly on the choice of
factorization scale. This theoretical uncertainty is strongly reduced by the
inclusion of the next-to-leading order QCD corrections.
