  We have employed equation-of-motion coupled-cluster (EOM-CC) method in the
four-component relativistic theory framework to understand roles of electron
correlation effects in the $\textit{ab initio}$ estimations of electric dipole
polarizabilities ($\alpha$) of the states engaged in the clock transition
($^{1}$S$_{0}$$\rightarrow$$^{3}$P$_{0}$) of the zinc atom. Roles of basis
size, inclusion of higher-level excitations, and higher-order relativistic
effects in the evaluation of both excitation energies of a few low-lying
excited states and $\alpha$ are analyzed systematically. Our EOM-CC values are
compared with the earlier reported theoretical and experimental results. This
demonstrates the capability of the EOM-CC method to ascertain the preciseness
of the black-body radiation shift in a clock transition, which holds paramount
importance for optical clock-based experiments.
