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The study of a quasi back-to-back isolated pair made of a heavy quarkonium,such as a J/psi or a Upsilon, and a photon produced in proton-proton collisionsat the LHC, is probably the optimal way to get right away a first experimentaldetermination of two gluon transverse-momentum-dependent distributions (TMDs)in an unpolarized proton, f1^g and h1^perp,g the latter giving the distributionof linearly polarized gluons. To substantiate this, we calculate thetransverse-momentum-dependent effects that arise in the process under study anddiscuss the feasibility of their measurements.

Back-to-back isolated photon-quarkonium production at the LHC and the transverse-momentum-dependent distributions of the gluons in the proton