Associated production of $J/\psi$ with hadron jet within the parton reggeization approach

In the present work for the first time a process of associated production of charmonuim with hadron jet is studyed within the parton reggeization approach at a proton collision energy $\sqrt{s}=13$ TeV in a center-of-mass system corresponding to kinematics of the Large Hadron Collider. In describing of hadronization of final state $c\bar{c}$-quark pair into $J/\psi$ meson we used an improved color evaporation model. For the first time within the leading order of the effective field theory of L. N. Lipatov we have obtained squared amplitudes of processes $QR\to c\bar{c}q$ and $Q\bar{Q}\to c\bar{c}g$ taking into account charm quark mass for calculations of cross sections at a partonic level. We have obtained an agreement between the partonic cross sections calculated on their basis and cross sections independently calculated in Monte-Carlo generator kaTie. In a central rapidity region $|y_{J/\psi}|\leq3$ and $|y_{jet}|\leq3$ and at charmonia momentum $5<k_{TJ/\psi}<30$ GeV and momentum of jet $100<k_{Tjet}<1000$ GeV we have calculated theoretical predictions for differential cross sections on transverse momenta, rapidities and invariant masses of $J/\psi$ meson and jet, and we have also calculated predictions for their azimuthal correlations.