Prompt $J/\psi$ production in associated with top quark pair at the LHC

Abstract

In this work, we investigate the prompt $J/\psi$ 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 $J/\psi$ production, we also include the indirect contribution from the directly produced heavier charmmonia ${\chi }_{cJ}$ and ${\psi }^{\prime }$. We present the numerical results for the total and differential cross sections and find that the $\text{sideset}{}^3{}_1^{(8)}S$ states give the dominant contributions. The prompt $t\bar{t}J/\psi$ signatures at the LHC are analyzed in the tetralepton channel $pp\to (t\to W^{+}({\ell }^{+}\nu )b)(\bar{t}\to W^{-}({\ell }^{-}\bar{\nu })\bar{b})(J/\psi \to {\mu }^{+}{\mu }^{-})$ and trilepton channel $pp\to (t\to W(q{q}^{\prime })b)(t\to W(\ell \nu )b)(J/\psi \to {\mu }^{+}{\mu }^{-})$, with the $J/\psi$ mesons decaying into muon pair, and the top quarks decaying leptonically or hadronically. We find that $t\bar{t}J/\psi$ proudction can be potentially detected at the LHC, whose measurement is useful to test the heavy quarkonium production mechanism.

Comments: 11 pages, 8 figures