  In top quark production, the polarization of top quarks, decided by the
chiral structure of couplings, is likely to be modified in the presence of any
new physics contribution to the production. Hence the same is a good
discriminator for those new physics models wherein the couplings have a chiral
structure different than that in the Standard Model (SM). In this note we
construct probes of the polarization of a top quark decaying hadronically,
using easily accessible kinematic variables such as the energy fraction or
angular correlations of the decay products. Tagging the boosted top quark using
the usual jet sub structure technique we study robustness of these observables
for a benchmark process, $W^{\prime} \to tb$. We demonstrate that the energy
fraction of b-jet in the laboratory frame and a new angular variable,
constructed by us in the top rest frame, are both very powerful tools to
discriminate between the left and right polarized top quarks. Based on the
polarization sensitive angular variables, we construct asymmetries which
reflect the polarization. We study the efficiency of these variables for two
new physics processes where which give rise to boosted top quarks: (i) decay of
the top squark in the context of supersymmetry searches, and (ii) decays of the
Kaluza-Klein(KK) graviton and KK gluon, in Randall Sundrum(RS) model.
Remarkably, it is found that the asymmetry can vary over a wide range about
+20\% to -20\%. The dependence of asymmetry on top quark couplings of the new
particles present in these models beyond the SM (BSM) is also investigated in
detail.
