  Differential cross-sections are measured for the production of four charged
leptons in association with two jets. These measurements are sensitive to final
states in which the jets are produced via the strong interaction as well as to
the purely-electroweak vector boson scattering process. The analysis is
performed using proton-proton collision data collected by ATLAS at
$\sqrt{s}=13$ TeV and with an integrated luminosity of 140 fb$^{-1}$. The data
are corrected for the effects of detector inefficiency and resolution and are
compared to state-of-the-art Monte Carlo event generator predictions. The
differential cross-sections are used to search for anomalous weak-boson
self-interactions that are induced by dimension-six and dimension-eight
operators in Standard Model effective field theory.
