  Two-particle angular correlations are measured in high-multiplicity
proton-proton collisions at $\sqrt{s} =13$ TeV by the ALICE Collaboration. The
yields of particle pairs at short-($\Delta\eta$ $\sim$ 0) and long-range ($1.6
< |\Delta\eta| < 1.8$) in pseudorapidity are extracted on the near-side
($\Delta\varphi$ $\sim$ 0). They are reported as a function of transverse
momentum ($p_{\mathrm T}$) in the range $1 <p_{\mathrm T}< 4$ GeV/$c$.
Furthermore, the event-scale dependence is studied for the first time by
requiring the presence of high-$p_{\rm T}$ leading particles and jets for
varying $p_{\rm T}$ thresholds. The results demonstrate that the long-range
"ridge" yield, possibly related to the collective behavior of the system, is
present in events with high-$p_{\mathrm T}$ processes. The magnitudes of the
short- and long-range yields are found to grow with the event scale. The
results are compared to EPOS LHC and PYTHIA 8 calculations, with and without
string-shoving interactions. It is found that while both models describe the
qualitative trends in the data, calculations from EPOS LHC show a better
quantitative agreement, in particular for the $p_{\rm T}$ and event-scale
dependencies.
