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We study the sensitivity of top polarization observables to the CP phase$\zeta_t$ in the top Yukawa coupling in the process $pp\to thj$ at the 14 TeVhigh-luminosity run of the Large Hadron Collider (HL-LHC). We calculate the toppolarization in this process as well as an azimuthal asymmetry of the chargedlepton arising from the decay of the top in the lab frame. We find that thedependence of this lab-frame azimuthal asymmetry on the phase $\zeta_t$ closelyresembles the dependence of the top polarization on $\zeta_t$. As compared tothe cross section, which is sensitive to $\zeta_t$ for larger values, thelepton azimuthal asymmetry can provide a sensitive measurement of $\zeta_t$ forsmaller values.

Unraveling the CP phase of top-Higgs coupling in associated production at the LHC