Prompt and non-prompt J/ψ production cross sections at midrapidity in proton-proton collisions at √s = 5.02 and 13 TeV

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