  Anomalies in recent LHCb, Belle and Babar measurements of $R_{D^{(*)}}$, and
$R_{K^{(*)}}$ in $B$ decays may indicate the new physics beyond the Standard
Model (SM). The leptoquarks ($LQ$) that couple to the $3^{\mathrm{rd}}$
generation quarks and leptons have been proposed as a viable new physics (NP)
explanation. Such left-handed $LQ$s can couple to both bottom and top quarks.
Since top particles decay before the hadronization, it is possible to
reconstruct chirality of boosted top quarks and consequently the chirality of
top coupling to the $LQ$s. We perform analysis on the top quark's chirality in
the pair-production channel of the $LQ$, which can be purely left-handed in
comparison to unpolarized $t\bar{t}$ SM background. We study the prospects of
distinguishing the chirality of a potential $LQ$ signal for the high luminosity
run of the LHC and other future colliders.
