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The presented paper is devoted to theoretical analysis of charmonium mesons$\eta_c$, $J/\psi$, $\chi_{c0,1,2}$, and $h_c$ production in exclusiveradiative $Z$ boson decays in the frameworks of Nonrelativistic Chromodynamicand amplitude expansion on the light-cone. In the framework of light-coneexpansion amplitudes and widths of all processes are described with oneuniversal relation. It is interesting to note that from this relation itfollows automatically which component of $Z$ boson (either vector or axial)gives contribution to the width of the particular decay. It is shown that theeffect of internal quark motion almost doubles theoretical predictions forproduction of $S$-wave charmonia and $\chi_{c1}$ meson.

Leading order NRQCD and Light-Cone Analysis of Exclusive Charmonia Production in Radiative $Z$-boson Decays