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We report on the calculation of the next-to-leading order QCD corrections tothe production of W-boson pairs in association with a hard jet at the Tevatronand the LHC, which is an important source of background for Higgs andnew-physics searches. Leptonic decays of the W bosons are included by applyingan improved version of the narrow-width approximation that treats the W bosonsas on-shell particles, but keeps the information on the W spin. Contributionsfrom external bottom quarks are neglected, because they are either numericallysuppressed or should be attributed to different processes such as Wt or ttbarproduction. A survey of differential NLO QCD cross sections is provided bothfor the LHC and the Tevatron. The QCD corrections stabilize the leading-orderprediction for the cross section with respect to scale variations. However, thescale dependence of the next-to-leading order results for the LHC is onlyreduced considerably if a veto against the emission of a second hard jet isapplied. In general, the corrections do not simply rescale the differentialleading-order cross sections. In particular, their shapes are distorted if anadditional energy scale is involved.

NLO QCD corrections to pp/ppbar --> WW+jet+X including leptonic W-boson decays