  We study the $W$ boson associated single top quark production at the Large
Hadron Collider (LHC) to probe anomalous chromo-magnetic and chromo-electric
moments of the top quark with the help of polarization and spin correlation
observables besides the cross-section in the leptonic final state. We
reconstruct the two neutrinos in the final state using the $M_{T2}$ assisted
on-shell (MAOS) reconstruction method to measure the polarization and spin
correlation asymmetries of the top quark and the $W$ boson. We estimate the
limits on the anomalous moments in a detector-level simulation considering
possible backgrounds for a few sets of integrated luminosities and examined the
effect of systematic uncertainties.
