  We study the sensitivities of non-standard top and Higgs couplings in the
$pp\to thj$ process at the 14 TeV high-luminosity run of Large Hadron Collider
(HL-LHC). We calculate top polarization and construct various lab-frame
observables to study their sensitivities on anomalous couplings at HL-LHC. Both
anomalous Wtb and hVV couplings contribute in the production process. However,
only the former contributes in top decay and only the latter takes part in
Higgs decay. We study this interesting interplay of couplings in the production
and decay observables. In production, these couplings significantly affect the
top polarization. As a measure of top polarization, we look at decay-lepton
angular distributions in the laboratory frame and study the effect of anomalous
couplings on these distributions. We construct certain asymmetries to study the
sensitivity of these distributions to top quark couplings. In particular, real
and imaginary parts of an hVV coupling and real part of a Wtb coupling f2R
significantly alter the top polarization and, in turn, affect the decay-lepton
distributions in laboratory frame.
