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

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 $J\mathrm{/}\psi ,{\chi }_{cJ},\mathrm{{\rm Y}}$ 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 $c\bar{c}{[}^1{S}_0^{(8)}]$ state give the main contribution to the $p_T$ distribution of prompt $J\mathrm{/}\psi$ with a (anti)bottom quark production. For the process of $pp\to \mathrm{{\rm Y}}+b(\bar{b})$, 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 $pp \to \chi_{bJ}+b(\bar{b})$,intheseprocesses,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.