Prompt and non-prompt J/ψ production cross sections at midrapidity in proton-proton collisions at $\sqrt{s}$ = 5.02 and 13 TeV

The production of J/ψ is measured at midrapidity (|y| < 0.9) in proton-proton collisions at $\sqrt{s}$ = 5.02 and 13 TeV, through the dielectron decay channel, using the ALICE detector at the Large Hadron Collider. The data sets used for the analyses correspond to integrated luminosities of $L$ int = 19.4 ± 0.4 nb −1 and $L$ int = 32.2 ± 0.5 nb −1 at $\sqrt{s}$ = 5.02 and 13 TeV, respectively. The fraction of non-prompt J/ψ mesons, i.e. those originating from the decay of beauty hadrons, is measured down to a transverse momentum p T = 2 GeV/c (1 GeV/c) at $\sqrt{s}$ = 5.02 TeV (13 TeV). The p T and rapidity (y) differential cross sections, as well as the corresponding values integrated over p T and y, are carried out separately for prompt and non-prompt J/ψ mesons. The results are compared with measurements from other experiments and theoretical calculations based on quantum chromodynamics (QCD). The shapes of the p T and y distributions of beauty quarks predicted by state-of-the-art perturbative QCD models are used to extrapolate an estimate of the $b\overline{b}$ pair cross section at midrapidity and in the total phase space. The total $b\overline{b}$ cross sections are found to be ${\sigma }_{b\overline{b}}$ = 541 ± 45 (stat.) ± 69 ${\left(\text{syst}.\right)}_{-12}^{+10}$ (extr.) μb and ${\sigma }_{b\overline{b}}$ = 218±37 (stat.)±31 ${\left(\text{syst}.\right)}_{-9.1}^{+8.2}$ (extr.) μb at $\sqrt{s}$ = 13 and 5.02 TeV, respectively. The value obtained from the combination of ALICE and LHCb measurements in pp collisions at $\sqrt{s}$ = 13 TeV is also provided.