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In this preprint we analyze the inclusive photoproduction of heavy charmonia-bottomonia pairs in the Color Glass Condensate framework and demonstrate that the cross-section of the process is sensitive to dipole and quadrupole forward scattering amplitudes (2- and 4-point correlators of Wilson lines). Using the phenomenological parametrizations of these amplitudes, we estimate numerically the production cross-sections in the kinematics of the forthcoming Electron Ion Collider and the ultraperipheral collisions at LHC. We found that the contribution controlled by the quadrupole amplitude is dominant, and for this reason, the suggested channel can be used as a gateway for studies of this nonperturbative object.

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