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A search is conducted for new phenomena in events with a top quark pair andlarge missing transverse momentum, where the top quark pair is reconstructed infinal states with one isolated electron or muon and multiple jets. The searchis performed using the Large Hadron Collider proton--proton collision datasample at a centre-of-mass energy of $\sqrt{s}=13$ TeV recorded by the ATLASdetector that corresponds to an integrated luminosity of 140 fb$^{-1}$. Ananalysis based on neural network classifiers is optimised to search fordirectly produced pairs of supersymmetric partners of the top quark (stop), andto search for spin-0 mediators, produced in association with a pair of topquarks, that decay into dark-matter particles. In the stop search, the analysisis designed to target models in which the mass difference between the stop andthe neutralino from the stop decay is close to the top quark mass. This newsearch is combined with previously published searches in final states withdifferent lepton multiplicities. No significant excess above the Standard Modelbackground is observed, and limits at 95% confidence level are set. Models withneutralinos with masses up to 570 GeV are excluded, while for small neutralinomasses models are excluded for stop masses up to 1230 GeV. Scalar(pseudoscalar) dark matter mediator masses as large as 350 (370) GeV areexcluded when the coupling strengths of the mediator to Standard Model anddark-matter particles are both set to one. At lower mediator masses, modelswith production cross-sections as small as 0.15 (0.16) times the nominalpredictions are excluded. Results of this search are also used to setconstraints on effective four-fermion contact interactions between top quarksand neutrinos.

Search for new phenomena with top-quark pairs and large missing  transverse momentum using 140 $\mathrm{fb}^{-1}$ of $pp$ collision data at  $\sqrt{s}=13$ TeV with the ATLAS detector