Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson

Rare decay process of the Higgs boson into a pair of $J\mathrm{/}\mathrm{\Psi }$ and $\mathrm{{\rm Y}}$ particles is studied within perturbative Standard Model and relativistic quark model. The relativistic corrections connected with the relative motion of quarks are calculated in the production amplitude and the wave functions of the bound states. Numerical values of the decay widths of the Higgs boson are obtained, which can be used for comparison with experimental data.