Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC

TL;DR

This paper studies the production of heavy quarkonium with a massive (anti)bottom quark at the LHC using NRQCD, revealing large production rates and potential for experimental detection, which can test different quarkonium production models.

Contribution

It provides leading-order numerical predictions for heavy quarkonium plus bottom quark production at the LHC, highlighting the dominance of different NRQCD states in various kinematic regions.

Findings

Large production rates suggest detectability at the LHC.

Different NRQCD states dominate at various transverse momentum ranges.

Results can help distinguish between CSM and COM models.

Abstract

In this work, we investigate the associated production of prompt heavy quarkonium with a massive (anti)bottom quark to leading order in the NRQCD factorization formalism at the LHC. We present numerical results for the processes involving $J/\psi,\chi_{cJ},\Upsilon$ and $\chi_{bJ}$. From our work, we find that the production rates of these processes are quite large, and these processes have the potential to be detected at the LHC. When $p_T$ is smaller than about 10 GeV, the $c\bar{c} [ ^1S_0^{(8)} ]$ state give the main contribution to the $p_T$ distribution of prompt $J/\psi$ with a (anti)bottom quark production. For the process of $pp \to \Upsilon+b(\bar{b})$, the contribution of the CSM is larger than that in the COM at low $p_T$ region. We also investigate the processes of $pp\to \chi_{cJ}+b(\bar{b})$ and $pp \to \chi_{bJ}+b(\bar{b})$, in these processes, the $p_T$ distribution are dominated by the CO Fock state contribution at the large $p_T$ region. These processes provide an interesting signature that could be studied at the LHC, and the measurement of these processes is useful to test the CSM and COM.