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We calculate the production of a photon and two jets at forward rapidity inproton-nucleus collisions, within the hybrid dilute-dense framework in theColor Glass Condensate (CGC) formalism. After obtaining the cross section forboth the quark- and gluon-initiated channels, we consider the correlationlimit, in which the vector sum of the transverse momenta of the three outgoingparticles is small with respect to the individual transverse momenta. In thislimit, the cross section simplifies considerably and can be written in afactorized form, sensitive to various unpolarized and linearly-polarizedtransverse-momentum-dependent gluon distribution functions (gluon TMDs). Thus,we demonstrate for the first time that the emergence of a TMD factorizationformula in the correlation limit, from CGC expressions, holds beyond thepreviously-considered simpler $2\to2$ processes.

TMD factorization for dijets + photon production from the dilute-dense CGC framework