QCD corrections to $J/ψ$ production in association with a $W$-boson at the LHC

Abstract

We calculate the next-to-leading order (NLO) QCD corrections to the $J/ψ+W$ production at the LHC, and provide the theoretical distribution of the $J/ψ$ transverse momentum. Our results show that the differential cross section $\frac{dσ}{dp_T^{J/ψ}}$ at the LO is significantly enhanced by the NLO QCD corrections. We believe that the comparison between the theoretical predictions for the $J/ψ+W$ production and the experimental data at the LHC can provide a verification for the colour-octet mechanism of non-relativistic QCD in the description of the processes involving heavy quarkonium.

Figures (4)

• Figure 1: Representative Feynman diagrams for $pp \to J/\psi+W^+$.
• Figure 2: The IR and Coulomb singularities structure in the NLO QCD calculations for the $pp \to J/\psi + W^+ + X$ process.
• Figure 3: The LO and NLO QCD corrected distributions of $p_T^{J/\psi}$ for the $pp \to J/\psi+W^{\pm}+X$ process, and the contributions of the $c\bar{c} \left[ ^1S_0^{(8)} \right]$ and $c\bar{c} \left[ ^3S_1^{(8)} \right]$ Fock states up to NLO at the LHC.
• Figure 4: The ratio $R$ versus $p_T^{J/\psi}$ with the definition of $R \equiv \frac{d\sigma^{^3P_J^{(8)}}}{d p_T^{J/\psi}}/\frac{d\sigma^{LO}}{d p_T^{J/\psi}}$.