Pseudorapidity densities of charged particles with transverse momentum thresholds in pp collisions at $\sqrt{s}=5.02$ and $13$ TeV

The pseudorapidity density of charged particles with minimum transverse momentum ($p_{\mathrm{T}}$) thresholds of 0.15, 0.5, 1, and 2 GeV$\mathrm{/}c$ is measured in pp collisions at the centre of mass energies of $\sqrt{s}=$ 5.02 and 13 TeV with the ALICE detector. The study is carried out for inelastic collisions with at least one primary charged particle having a pseudorapidity ($\eta$) within $\pm 0.8$ and $p_{\mathrm{T}}$ larger than the corresponding threshold. In addition, measurements without $p_{\mathrm{T}}$-thresholds are performed for inelastic and non-single-diffractive events as well as for inelastic events with at least one charged particle having $\mathrm{\mid }\eta \mathrm{\mid }<1$ in pp collisions at $\sqrt{s}=$ 5.02 TeV for the first time at the LHC. These measurements are compared to the PYTHIA 6, PYTHIA 8, and EPOS-LHC models. In general, the models describe the $\eta$ dependence of particle production well. However, discrepancies are observed for the highest transverse momentum threshold ($p_{\mathrm{T}}>2\mathrm{G}\mathrm{e}\mathrm{V}\mathrm{/}c$), highlighting the importance of such measurements for tuning event generators. The new measurements agree within uncertainties with results from the ATLAS and CMS experiments obtained at $\sqrt{s}=13$ TeV.