Search for the single production of vector-like $T$ quarks decaying into $tH$ or $tZ$ with the ATLAS detector

This note describes a search for the single production of an up-type vector-like quark ($T$) decaying as $T \rightarrow Ht$ or $T \rightarrow Zt$. The search utilises a dataset of $pp$ collisions at $\sqrt{s}=$13 TeV collected with the ATLAS detector during the 2015--2018 data taking period of the Large Hadron Collider, corresponding to 139~fb$^{-1}$ of integrated luminosity. Data are analysed in final states containing a single lepton with multiple jets and $b$-jets. The presence of boosted heavy resonances in the event is exploited to discriminate the signal from the Standard Model background. No significant excess above the Standard Model expectation is observed, and 95\% CL upper limits are set on the production cross section of $T$ quarks in different decay channels. The results are interpreted in several benchmark scenarios to set limits on the mass and universal coupling strength ($\kappa$) of the vector like quark. For singlet $T$ quarks, $\kappa$ values above 0.5 are excluded for all masses below 1.8 TeV. At a mass of 1.6 TeV, $\kappa$ values as low as 0.41 are excluded.