Jet quenching in $pp$ and $pA$ collisions

We study jet quenching in $pp$ and $pA$ collisions in the scenario with formation of a mini quark-gluon plasma. We find a significant suppression effect. For light hadrons at $p_T\sim 10$ GeV we obtained the reduction of the spectra by $\sim [20-30,25-35,30-40]$% in $pp$ collisions at $\sqrt{s}=[0.2,2.76,7]$ TeV. We discuss how jet quenching in $pp$ collisions may change the predictions for the nuclear modification factors in $AA$ collisions for light and heavy flavors. We also give predictions for modification of the photon-tagged and inclusive jet fragmentation functions in high multiplicity $pp$ events.