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Numerical simulations of processes of three and four top quarkhadroproduction are carried out in the SMEFT model framework. The simulateddata are used to derive expected theoretical constraints on Wilson coefficientsof relevant SMEFT operators of dimension six. Obtained limits for both casesare discussed and compared in terms of processes sensitivity to possible BSMcontribution. Results show that operator $O_{tt}^1$ is better constrained bythe process of four top quark production, whereas other four operators$O_{QQ}^1$, $O_{Qt}^1$, $O_{Qt}^8$ and $O_{QQ}^8$, are similarly constrained inthree and four top quark production processes. In all cases, the expectedlimits taken from the simultaneous analysis of the production of three and fourtop quarks are strengthened. The question of how kinematic cutoffs motivated bypartial unitarity affect the resulting constraints on the Willson coefficientsis addressed. It is shown that in all cases the limits are getting somewhatworse if the kinematic cutoffs reflecting the unitarity are applied.

Prospects for establishing limits on the SMEFT operators from the production processes of three and four top quarks in hadron collisions