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Recently, experimental collaborations have reported $\mathcal{O}(10)$ upperlimits on the signal strength of four-top production at the LHC. Surprisingly,we find that the constraining power of four-top production on the $qqtt$ typeof operators is already competitive with the measurements of top-pairproduction, even though the precision level of the latter is more than twoorders of magnitude better. This is explained by the enhanced sensitivity ofthe four-top cross section to $qqtt$ operators, due to multiple insertion ofoperators in the squared amplitude, and to the large threshold energy offour-top production. We point out that even though the dominant contributionbeyond the standard model comes from the $\mathcal{O}(C^4/\Lambda^8)$ terms,the effective field theory expansion remains valid for a wide range ofunderlying theories. Considering the possible improvements of this measurementwith higher integrated luminosity, we believe that this process will becomeeven more crucial for probing and testing the standard model deviations in thetop-quark sector, and will eventually provide valuable information about thetop-quark properties, leading to significant improvements in precision topphysics.

Constraining $qqtt$ operators from four-top production: a case for enhanced EFT sensitivity