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Searches for top quark-associated physics such as $t\bar t W$ or $t\bar t H$in final states with multiple leptons require a careful accounting of expectedbackgrounds due to the lack of reconstructible resonances. We demonstrate thatthe rare top quark decays $t \to \ell' \nu b \ell\ell$ and $t \to q q' b\ell\ell$, when a soft lepton is not detected, can contribute a non-negligiblebackground to such searches. Simulations in the LHC experiments typically donot account for such decays and as such backgrounds to such searches may beunderestimated.

Impact of Rare Decays $t \to \ell' \nu b \ell\ell$ and $t \to q q' b \ell\ell$ on Searches for Top-Associated Physics