Sensitivity of the Three Top Quark Production Process to the Contribution of Top-Related SMEFT Operators

The sensitivity of the three top quark production process to the potential contribution of the SMEFT top-related operators was investigated. Theoretical restrictions on the Wilson coefficients of the corresponding operators are obtained for the scenarios of the LHC, HL-LHC, HE-LHC, and FCC experiments. It is shown how these restrictions change with increasing energies and luminosities of the considered scenarios. It was demonstrated that the process constrains the following four-fermion operators relatively well: $$O_{{QQ}}^{1}$$ , $$O_{{Qq}}^{{1,8}}$$ , $$O_{{Qq}}^{{1,1}}$$ , $$O_{{Qq}}^{{3,8}}$$ , $$O_{{Qq}}^{{1,3}}$$ , $$O_{{Qt}}^{1}$$ , $$O_{{tq}}^{8}$$ , and it is also sensitive to the following operators with bosonic fields: $${{O}_{{tW}}}$$ and $${{O}_{{tG}}}$$ .