Prompt $J/ψ$ production in associated with top quark pair at the LHC
In this work, we investigate the prompt $J/ψ$ production in associated with top quark pair to leading order in the nonrelativistic QCD factorization formalism at the LHC with $\sqrt{s} =13$ TeV. In addition to the contribution from direct $J/ψ$ production, we also include the indirect contribution from the directly produced heavier charmmonia $χ_{cJ}$ and $ψ^\prime$. We present the numerical results for the total and differential cross sections and find that the $\sideset{^3}{^{(8)}_1}{\mathop{S}}$ states give the dominant contributions. The prompt $t\bar t J/ψ$ signatures at the LHC are analyzed in the tetralepton channel $pp\to (t\to W^+(\ell^+ν)b) (\bar t \to W^-(\ell^- \bar ν)\bar b) (J/ψ\toμ^+μ^-)$ and trilepton channel $pp\to (t\to W(q q^\prime)b) ( t \to W(\ell ν) b) (J/ψ\toμ^+μ^-)$, with the $J/ψ$ mesons decaying into muon pair, and the top quarks decaying leptonically or hadronically. We find that $t\bar t J/ψ$ proudction can be potentially detected at the LHC, whose measurement is useful to test the heavy quarkonium production mechanism.