The production of J/ψ is measured at midrapidity (|y| < 0.9) in proton-proton collisions at √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 Lint = 19.4 ± 0.4 nb−1 and Lint = 32.2 ± 0.5 nb−1 at √s = 5.02 and 13TeV, 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 pT = 2 GeV/c (1 GeV/c) at √s = 5.02 TeV (13 TeV). The pT and rapidity (y) differential cross sections, as well as the corresponding values integrated over pT 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 pT and y distributions of beauty quarks predicted by state-of-the-art perturbative QCD models are used to extrapolate an estimate of the bb pair cross section at midrapidity and in the total phase space. The total bb cross sections are found to be σ = 541 ± 45 (stat.) ± 69 (syst.)+10 (extr.) μb and +8.2 bb −12 σbb = 218±37 (stat.)±31 (syst.)−9.1 (extr.) μb at √s = 13 and 5.02 TeV, respectively. The value obtained from the combination of ALICE and LHCb measurements in pp collisions at √s = 13 TeV is also provided.
