Non-Classicality in $tW$ system via negativity and geometric quantum discord

We perform a phenomenological study of non-classical correlations in the mixed-dimensional qubit-qutrit system realized by leading order $pp\to tW$ production at $\sqrt{s}=13$ TeV in the leptonic final state. The two missing neutrinos are reconstructed with conditional normalizing flows trained on simulated detector-level objects, and the joint spin density matrix ${\rho }_{tW}\in {\mathcal{H}}_2\otimes {\mathcal{H}}_3$ is obtained in a generalized Bloch representation from the angular distributions of the leptonic decay products. Non-classical correlations are quantified using the Peres–Horodecki negativity and geometric quantum discord. We quantify the correlations at different region of $m_{tW}$ at the reconstruction level within the Standard Model and the impact of two reducible backgrounds viz. $t\bar{t}$ and $WWj$ processes, tagged using boosted decision trees. We further study the behavior of correlations in presence of anomalous chromomagnetic and chromoelectric dipole moments of the top quark. The sensitivity reach of the quantum observables along with polarization and spin correlation parameters are reported for current LHC and future HL-LHC scenario.