Interparticle correlations in the production of J/\psi pairs in proton-proton collisions

We focus on the problem of disentangling the single (SPS) and double (DPS) parton scattering modes in the production of \J pairs at the LHC conditions. Our analysis is based on comparing the shapes of the differential cross sections and on studying their behavior under imposing kinematical cuts. On the SPS side, we consider the leading-order ${\cal O}(\alpha_s^4)$ contribution with radiative corrections (taken into account in the framework of the \ktf approach) and the subleading ${\cal O}(\alpha_s^6)$ contribution from \pd ~gluon-gluon scattering represented by one gluon exchange and two gluon exchange mechanisms. We come to the conclusion that disentangling the SPS and DPS modes is rather difficult on the basis of azimuthal correlations, while the rapidity difference looks more promising, provided the acceptance of the experimental detectors has enough rapidity range.