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This paper presents a measurement of fiducial and differential cross-sectionsfor $W^{+}W^{-}$ production in proton-proton collisions at $\sqrt{s}=13$ TeVwith the ATLAS experiment at the Large Hadron Collider using a datasetcorresponding to an integrated luminosity of 139 fb$^{-1}$. Events with exactlyone electron, one muon and no hadronic jets are studied. The fiducial region inwhich the measurements are performed is inspired by searches for theelectroweak production of supersymmetric charginos decaying to two-lepton finalstates. The selected events have moderate values of missing transverse momentumand the `stransverse mass' variable $m_{\textrm{T2}}$, which is widely used insearches for supersymmetry at the LHC. The ranges of these variables are chosenso that the acceptance is enhanced for direct $W^{+}W^{-}$ production andsuppressed for production via top quarks, which is treated as a background. Thefiducial cross-section and particle-level differential cross-sections for sixvariables are measured and compared with two theoretical SM predictions fromperturbative QCD calculations.

Measurements of $W^{+}W^{-}$ production in decay topologies inspired by searches for electroweak supersymmetry