For J/ψ+1jet inclusive production at the large hadron collider, within the non-relativistic quantum chromodynamics framework, in this work a full next-to-leading order calculation with the anti-kt algorithm for the jet is presented. The J/ψ is considered to be not contained in the jet. The predictions are made for the total cross section, J/ψ transverse momentum distribution, jet transverse momentum distribution and the J/ψ jet rapidity difference distribution for this process. It is found that the process is detectable in the experiment, and the color-octet long distance matrix elements(LDMEs) fitted in the J/ψ inclusive production by different groups are not consistent in the J/ψ+1jet inclusive production process, which makes a reexamination for the fit of the J/ψ LDMEs necessary.
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