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The top quark plays an important role in searches for physics beyond the SM,both as a dominant background and as a key signature for the signal. The mostnotable feature found in the top physics analyses in both ATLAS and CMSCollaborations: the disagreement between simulation and data of the top quark$p_{T}$ spectrum - is highlighted. A reweighting procedure which significantlyimproves the agreement between simulation and data, also known as the "top$p_{T}$ reweighting", is summarised. Commonly raised points concerning thereweighting to fixed-order predictions are discussed, and several refinedapproaches are mentioned. An overview of several data-driven methods developedand used to estimate the $t\bar{t}$ background in regions with large jet andb-jet multiplicities and/or high top quark $p_{T}$ is presented.

Treatment of top-quark backgrounds in extreme phase spaces: the "top $p_{T}$ reweighting" and novel data-driven estimations in ATLAS and CMS