Search for single production of vector-like quarks decaying into $Wb$ in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

A search for singly produced vector-like quarks $Q$, where $Q$ can be either a $T$ quark with charge $+2\mathrm{/}3$ or a $Y$ quark with charge $-4\mathrm{/}3$, is performed in proton-proton collision data at a centre-of-mass energy of 13 TeV corresponding to an integrated luminosity of $36.1{\text{fb}}^{-1}$, recorded with the ATLAS detector at the LHC in 2015 and 2016. The analysis targets $Q \to Wb$decayswherethe$W$ boson decays leptonically. No significant deviation from the expected Standard Model background is observed. Upper limits are set on the $QWb$ coupling strength and the mixing between the Standard Model sector and a singlet $T$ quark or a $Y$ quark from a $(B,Y)$ doublet or a $(T,B,Y)$ triplet, taking into account the interference effects with the Standard Model background. The upper limits set on the mixing angle are as small as $\mathrm{\mid }\sin {\theta }_{\text{L}}\mathrm{\mid }=0.18$ for a singlet $T$ quark of mass 800 GeV, $\mathrm{\mid }\sin {\theta }_{\text{R}}\mathrm{\mid }=0.17$ for a $Y$ quark of mass 800 GeV in a $(B,Y)$ doublet model and $\mathrm{\mid }\sin {\theta }_{\text{L}}\mathrm{\mid }=0.16$ for a $Y$ quark of mass 800 GeV in a $(T,B,Y)$ triplet model. Within a $(B,Y)$ doublet model, the limits set on the mixing parameter $\mathrm{\mid }\sin {\theta }_{\text{R}}\mathrm{\mid }$ are comparable with the exclusion limits from electroweak precision observables in the mass range between about 900 GeV and 1250 GeV.