Production of heavy tetraquarks in rare exclusive decays of the Higgs boson

The relativistic quark model is used to study the processes of heavy tetraquark <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mo stretchy="false">(</a:mo> <a:mi>c</a:mi> <a:mi>c</a:mi> <a:mover accent="true"> <a:mi>c</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mover accent="true"> <a:mi>c</a:mi> <a:mo stretchy="false">¯</a:mo> </a:mover> <a:mo stretchy="false">)</a:mo> </a:math> production in the Higgs boson decay. We consider quark-gluon, <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>Z</i:mi> <i:mi>Z</i:mi> </i:math> -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.