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

Abstract

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

arXiv comment65 pages, 2 figures. V2: Typos corrected, references added, sign mistake corrected, main results remained unchanged, new appendix added

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• Low $x$ physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
• Inclusive production of a heavy-light dijet system in hybrid high-energy and collinear factorization
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