<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We present the combination of fully differential cross sections for colour-singlet production processes at next-to-next-to-leading order (NNLO) QCD obtained with M<jats:sc>atrix</jats:sc> and all-order resummation through R<jats:sc>ad</jats:sc>ISH. This interface allows us to achieve unprecedented accuracy for various transverse observables in 2 → 2 production processes. As an important application we consider <jats:italic>W</jats:italic><jats:sup>+</jats:sup><jats:italic>W</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup> production at the LHC, more precisely the full leptonic process <jats:italic>pp</jats:italic> → <jats:inline-formula><jats:alternatives><jats:tex-math>$$ {\mathrm{\ell}}^{+}\mathrm{\ell}{\prime}^{-}{\nu}_{\mathrm{\ell}}{\overline{\nu}}_{\mathrm{\ell}\prime } $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mi>ℓ</mml:mi> <mml:msup> <mml:mo>′</mml:mo> <mml:mo>−</mml:mo> </mml:msup> <mml:msub> <mml:mi>ν</mml:mi> <mml:mi>ℓ</mml:mi> </mml:msub> <mml:msub> <mml:mover> <mml:mi>ν</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mrow> <mml:mi>ℓ</mml:mi> <mml:mo>′</mml:mo> </mml:mrow> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> + <jats:italic>X</jats:italic> with <jats:italic>ℓ</jats:italic>′ ≠ <jats:italic>ℓ</jats:italic>, and we present resummed predictions for differential distributions in presence of fiducial selection cuts. In particular, we resum the transverse-momentum spectrum of the <jats:italic>W</jats:italic><jats:sup>+</jats:sup><jats:italic>W</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup> pair at next-to-next-to-next-to-leading logarithmic (N<jats:sup>3</jats:sup>LL) accuracy and match it to the integrated NNLO cross section. The transverse-momentum spectrum of the leading jet in <jats:italic>W</jats:italic><jats:sup>+</jats:sup><jats:italic>W</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup> production is calculated at NNLO+NNLL accuracy. Finally, the joint resummation for the transverse-momentum spectrum of the <jats:italic>W</jats:italic><jats:sup>+</jats:sup><jats:italic>W</jats:italic><jats:sup><jats:italic>−</jats:italic></jats:sup> pair in the presence of a jet veto is performed at NNLO+NNLL. Our phenomenological study highlights the importance of higher-order perturbative and logarithmic corrections for precision phenomenology at the LHC.</jats:p>