  Mini-jets, created by perturbative hard QCD collisions at moderate energies,
can represent a significant portion of the total multiplicity of a heavy-ion
collision event. Since their transverse momenta are initially larger than the
typical saturation scale describing the bulk of the equilibrating QGP, their
typical stopping distances are larger than the usual hydrodynamization time, so
they do not in general hydrodynamize at the same pace than the bulk of the
collision. Therefore, in general mini-jets cannot be described solely by a
unique pre-equilibrium stage that bridges the initial, over-occupied glasma
state, with the hydrodynamical evolution. In this work we make use of a new
concurrent mini-jet+hydrodynamic framework in which the properties of the
hydrodynamically evolving QGP are modified due to the injection of energy and
momentum from the mini-jets. We study the system for different choices of the
minimum transverse momentum associated to mini-jet production. In order to
achieve a realistic description of charged particle multiplicity, the amount of
entropy associated to the low-$x$ initial state needs to be reduced. Moreover,
the fact that the injected momentum from the randomly oriented mini-jets is not
correlated with the spatial gradients of the system reduces overall flow, and
the value of the QGP transport coefficients needs to be reduced accordingly.
They are an important new source of fluctuations, resulting in a spikier,
notably modified hydrodynamical evolution. We discuss the impact of the
mini-jets on a number of observables, such as $p_T$ spectra and
$p_T$-differential flow $v_n$ for a wide range of centrality classes. In
contrast to elliptic, triangular or quadrangular flow, we find that directed
flow, $v_1$, has the strongest potential to discriminate between different
mini-jet production rates.
