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The relativistic quark model is used to study the processes of heavy tetraquark production in the Higgs boson decay. We consider quark-gluon, ZZ-boson, and quark-gluon loop decay mechanisms with the production of a fully charmed tetraquark. Relativistic interaction amplitudes are constructed and decay widths are calculated taking into account relativistic corrections in the decay amplitude connected with the relative motion of quarks and antiquarks.

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